From 3a2ca9b576906c9e0835fac704a963825e405931 Mon Sep 17 00:00:00 2001 From: MARTIN Antoine Date: Mon, 2 Feb 2026 11:02:37 +0100 Subject: [PATCH 1/8] added Affine formulation --- README.md | 1 + .../homogenization/CMakeLists.txt | 2 + .../Affine_formulation.mfront | 142 +++++++++++++++ .../Affine_formulation.mtest | 24 +++ .../Affine_tensors.mfront | 170 ++++++++++++++++++ .../Affine_tensors.mtest | 24 +++ .../MassonAffineFormulation/CMakeLists.txt | 12 ++ .../MassonAffineFormulation/polycrystal.csv | 10 ++ .../references/Affine_formulation.ref | 127 +++++++++++++ .../references/Affine_tensors.ref | 127 +++++++++++++ include/TFEL/Material/tensors.hxx | 112 ++++++++++++ 11 files changed, 751 insertions(+) create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/polycrystal.csv create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref create mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref create mode 100644 include/TFEL/Material/tensors.hxx diff --git a/README.md b/README.md index fdf533f..312facd 100644 --- a/README.md +++ b/README.md @@ -19,6 +19,7 @@ It is mainly decomposed in two parts: - `plasticity` - `viscoelasticity` - `viscoplasticity` + - `homogenization` - `materials`: this part gathers to specific materials. The last purpose of this project is to show how to build a compilation diff --git a/generic-behaviours/homogenization/CMakeLists.txt b/generic-behaviours/homogenization/CMakeLists.txt index 6f91a87..4177cfa 100644 --- a/generic-behaviours/homogenization/CMakeLists.txt +++ b/generic-behaviours/homogenization/CMakeLists.txt @@ -25,3 +25,5 @@ genericmtest(Homogenization BetaRule genericmtest(Homogenization Idiart_viscoelastic BEHAVIOUR Idiart_viscoelastic REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Idiart_viscoelastic.ref) + +add_subdirectory(MassonAffineFormulation) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront new file mode 100644 index 0000000..eef57c5 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront @@ -0,0 +1,142 @@ +@DSL ImplicitII; +@Behaviour Affine_formulation; +@Author Martin Antoine; +@Date 24 / 01 / 26; +@Description{"Affine formulation for homogenization of a viscoplastic polycrystal, Masson et al. 2001.", based on self-consistent scheme}; +@UseQt false; +@Algorithm NewtonRaphson_NumericalJacobian; +@PerturbationValueForNumericalJacobianComputation 1e-10; +@Epsilon 1e-14; + +@TFELLibraries {"Material"}; +@Includes{ +#include "TFEL/Material/IsotropicModuli.hxx" +#include "TFEL/Material/IsotropicEshelbyTensor.hxx" +#include "TFEL/Material/AnisotropicEshelbyTensor.hxx" +#include "TFEL/Material/MicrostructureDescription.hxx" +#include "TFEL/Material/MicrostructureLinearHomogenization.hxx" +#include "TFEL/Material/ExtendedPolyCrystalsSlidingSystems.hxx"} + +//! number of phases +@IntegerConstant Np = 10; + +//! normalization strainrate +@Parameter real gamma0 = 1.0; +@Parameter real k0 = 1.; +@Parameter real mu0 = 1.; + +@ModellingHypothesis Tridimensional; +@OrthotropicBehaviour; +@CrystalStructure HCP; +@SlidingSystems{<1, 1, -2, 0>{1, -1, 0, 0}, + <-2, 1, 1, 3>{1, -1, 0, 1}, + <-2, 1, 1, 0>{0, 0, 0, 1}, + <1, 1, -2, 0>{1, -1, 0, 1}}; + +@MaterialProperty real nexp; +@MaterialProperty real tau1; +@MaterialProperty real tau2; +@MaterialProperty real kap; + +@StateVariable Stensor sigma[Np]; +sigma.setEntryName("PhaseReferenceStress"); + +@AuxiliaryStateVariable real ne; + +@LocalVariable Stensor4 I; +@LocalVariable real frac[Np]; +@LocalVariable real tau0[Np]; +@LocalVariable Stensor4 M[Np]; +@LocalVariable Stensor4 L[Np]; +@LocalVariable tmatrix<6*Np,6,real> A; +@LocalVariable tmatrix<6*Np,6,real> dsigma_deto; + +@InitLocalVariables{ +I=tfel::math::st2tost2<3u,real>::Id(); +for (int r=0;r, real>; +const auto& gs = + PolyCrystalsSlidingSystems::getPolyCrystalsSlidingSystems("polycrystal.csv"); + +//tangent modulus and polarization///////////////////////////////// +using namespace tfel::math; +Stensor4 LSC; +Stensor e[Np]; +Stensor dpsi_dsigma[Np]; + +for (int r=0;r(k0,mu0); +auto micro=ParticulateMicrostructure<3u,stress>(IM0); +const auto sphere=Sphere(); +std::vector polarisations; +const auto zero = Stensor::zero(); +polarisations.resize(Np+1, zero); + +for (int r=0 ; r(sphere,frac[r],L[r]); + micro.addInclusionPhase(distribution); + polarisations[r+1]=-L[r]*e[r]; +} +const auto hmSC=computeSelfConsistent<3u,stress>(micro,1e-6,true,0,polarisations); +LSC = hmSC.homogenized_stiffness; +const auto tauSC = hmSC.effective_polarisation; +const auto A_SC=hmSC.mean_strain_localisation_tensors; + +auto KGSC = computeKGModuli(LSC); +const auto PSC = computeSphereHillPolarisationTensor(KGSC); +const auto MSC_star = invert(invert(PSC)- LSC); + +//residues///////////////////////////////////// +for (int r=0;r(A,6*r,0)=Ar; + fsigma[r] = M[r]*(sigma[r]+dsigma[r])-Ar*(eto+deto); + fsigma[r]-=M[r]*(invert(M[r]+MSC_star))*(MSC_star*tauSC - e[r]); +} + +//macroscopic stress////////////////////////////////////// +sig=LSC*(eto+deto)+tauSC; + +} + +@TangentOperator{ +if (smt){ +tmatrix<6*Np,6*Np,real> iJ = jacobian; +TinyMatrixInvert<6*Np,real>::exe(iJ); +dsigma_deto=iJ*A; +Dt=Stensor4::zero(); +for (int r=0;r(dsigma_deto,6*r,0); + Dt+=frac[r]*dsigmar_deto; +} +} +} diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest new file mode 100644 index 0000000..3c52310 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest @@ -0,0 +1,24 @@ +@ModellingHypothesis 'Tridimensional'; +@Behaviour<@interface@> @library@ @behaviour@; +@ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; + +@MaterialProperty 'nexp' "1"; +@MaterialProperty 'tau1' 10.; +@MaterialProperty 'tau2' 10.; + +@MaterialProperty 'kap' "0.01"; + +@ImposedStrain 'EXX' {0 : 1, 1 : 1}; +@ImposedStrain 'EYY' {0 : -1, 1 : -1}; +@ImposedStrain 'EZZ' {0 : 0, 1 : 0}; +@ImposedStrain 'EXY' {0 : 0, 1 : 0}; +@ImposedStrain 'EXZ' {0 : 0, 1 : 0}; +@ImposedStrain 'EYZ' {0 : 0, 1 : 0}; +@Times {0.,0.1 in 100}; + +@OutputFilePrecision 14; + +@Test @reference_file@ 'SXX' 8 1.e-3; +@Test @reference_file@ 'SYY' 9 1.e-3; +@Test @reference_file@ 'ne' 74 1e-3; + diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront new file mode 100644 index 0000000..214149d --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront @@ -0,0 +1,170 @@ +@DSL ImplicitII; +@Behaviour Affine_tensors; +@Author Martin Antoine; +@Date 26 / 01 / 26; +@Description{"Affine formulation for homogenization of a viscoplastic polycrystal, (Masson et al. 2001.), based on Green interaction tensors"}; +@UseQt false; +@Algorithm NewtonRaphson_NumericalJacobian; +@PerturbationValueForNumericalJacobianComputation 1e-10; +@Epsilon 1e-14; + +@TFELLibraries {"Material"}; + +@Includes{ +#include "TFEL/Material/tensors.hxx" +#include "TFEL/Material/ExtendedPolyCrystalsSlidingSystems.hxx"} + +//! number of phases +@IntegerConstant Np =10; + +//! normalization strainrate +@Parameter real gamma0 = 1.0; +//! bulk modulus of the reference medium used for the interaction tensors +@Parameter stress k0 = 1; +//! bulk modulus of the reference medium used for the interaction tensors +@Parameter stress mu0 = 1; + +@ModellingHypothesis Tridimensional; +@OrthotropicBehaviour; +@CrystalStructure HCP; +@SlidingSystems{<1, 1, -2, 0>{1, -1, 0, 0}, + <-2, 1, 1, 3>{1, -1, 0, 1}, + <-2, 1, 1, 0>{0, 0, 0, 1}, + <1, 1, -2, 0>{1, -1, 0, 1}}; + +@MaterialProperty real nexp; +@MaterialProperty real tau1; +@MaterialProperty real tau2; +@MaterialProperty real kap; +@MaterialProperty real r0; + +@StateVariable Stensor sigma[Np]; +sigma.setEntryName("PhaseReferenceStress"); + +@AuxiliaryStateVariable real ne; + +@LocalVariable Stensor4 I; +@LocalVariable Stensor4 J; +@LocalVariable Stensor4 K; +@LocalVariable Stensor4 L0; +@LocalVariable Stensor4 M0; +@LocalVariable real frac[Np]; +@LocalVariable real tau0[Np]; +@LocalVariable Stensor4 M[Np]; +@LocalVariable Stensor4 L[Np]; +@LocalVariable Stensor4 Ar[Np]; +@LocalVariable tmatrix<6*Np,6,real> A; +@LocalVariable std::array,Np>,Np> DELTA; +@LocalVariable tmatrix<6*Np,6,real> dsigma_deto; + +@InitLocalVariables{ +I=tfel::math::st2tost2<3u,real>::Id(); +J=tfel::math::st2tost2<3u,real>::J(); +K=tfel::math::st2tost2<3u,real>::K(); +DELTA=Delta::get_tensor(); +L0=r0*(3*k0*J+2*mu0*K); +M0=invert(L0); + +for (int r=0;r, real>; +const auto& gs = + PolyCrystalsSlidingSystems::getPolyCrystalsSlidingSystems("polycrystal.csv"); + +//tangent modulus and polarization///////////////////////////////// +using namespace tfel::math; +Stensor e[Np]; +Stensor4 Chom; +Stensor dpsi_dsigma[Np]; + +for (int r=0;r MAT; +tmatrix<6*Np,6*Np,real> G; +tmatrix<6*Np,6,real> E; +for (int r=0;r(E,6*r,0)=L0; + const auto dM = M[r]-M0; + for (int s=0;s(MAT,6*r,6*s) +=r0*DELTA[r][s]*dM; + map_derivative(G,6*r,6*s) -=r0*DELTA[r][s]; + } + } + map_derivative(MAT,6*r,6*r) +=I; +} + +TinyMatrixInvert<6*Np,real>::exe(MAT); +A = MAT*E; +tmatrix<6*Np,6*Np,real> B = MAT*G; + +Chom=Stensor4::zero(); +for (int r=0;r(A,6*r,0); + Chom+=frac[r]*Ar[r]; +} + +//residues///////////////////////////////////// +for (int r=0;r(B,6*r,6*s); + fsigma[r]-=M[r]*Brs*e[s]; + } +} + +//macroscopic stress////////////////////////////////////// +auto tau_eff=Stensor::zero(); +for (int r=0;r(A,6*r,0)=M[r]*Ar[r]; +} + +tmatrix<6*Np,6*Np,real> iJ = jacobian; +TinyMatrixInvert<6*Np,real>::exe(iJ); +dsigma_deto=iJ*A; +Dt=Stensor4::zero(); +for (int r=0;r(dsigma_deto,6*r,0); + Dt+=frac[r]*dsigmar_deto; +} + +} + +} diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest new file mode 100644 index 0000000..76b3168 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest @@ -0,0 +1,24 @@ +@ModellingHypothesis 'Tridimensional'; +@Behaviour<@interface@> @library@ @behaviour@; +@ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; + +@MaterialProperty 'nexp' "1"; +@MaterialProperty 'tau1' 10.; +@MaterialProperty 'tau2' 10.; + +@MaterialProperty 'kap' "0.01"; +@MaterialProperty 'r0' "1"; + +@ImposedStrain 'EXX' {0 : 1, 1 : 1}; +@ImposedStrain 'EYY' {0 : -1, 1 : -1}; +@ImposedStrain 'EZZ' {0 : 0, 1 : 0}; +@ImposedStrain 'EXY' {0 : 0, 1 : 0}; +@ImposedStrain 'EXZ' {0 : 0, 1 : 0}; +@ImposedStrain 'EYZ' {0 : 0, 1 : 0}; +@Times {0.,0.1 in 100}; + +@OutputFilePrecision 14; + +@Test @reference_file@ 'SXX' 8 1.e-3; +@Test @reference_file@ 'SYY' 9 1.e-3; +@Test @reference_file@ 'ne' 74 1e-5; diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt new file mode 100644 index 0000000..eba0096 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt @@ -0,0 +1,12 @@ +mfront_behaviours_library(MassonAffineFormulation + Affine_formulation + Affine_tensors + ) + +genericmtest(MassonAffineFormulation Affine_formulation + BEHAVIOUR Affine_formulation + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Affine_formulation.ref) + +genericmtest(MassonAffineFormulation Affine_tensors + BEHAVIOUR Affine_tensors + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Affine_tensors.ref) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/polycrystal.csv b/generic-behaviours/homogenization/MassonAffineFormulation/polycrystal.csv new file mode 100644 index 0000000..f7317e9 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/polycrystal.csv @@ -0,0 +1,10 @@ +-149.06000 18.01000 194.06000 0.0713 +-119.06000 18.01000 194.06000 0.1111 +-89.06000 18.01000 194.06000 0.1015 +-59.06000 18.01000 194.06000 0.1042 +-29.06000 18.01000 194.06000 0.0964 +0.94000 18.01000 194.06000 0.094 +30.94000 18.01000 194.06000 0.0711 +60.94000 18.01000 194.06000 0.132 +90.94000 18.01000 194.06000 0.1063 +120.94000 18.01000 194.06000 0.1118 diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref new file mode 100644 index 0000000..f073287 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref @@ -0,0 +1,127 @@ +# first column: time +# 2 column: 1th component of the strain (EXX) +# 3 column: 2th component of the strain (EYY) +# 4 column: 3th component of the strain (EZZ) +# 5 column: 4th component of the strain (EXY) +# 6 column: 5th component of the strain (EXZ) +# 7 column: 6th component of the strain (EYZ) +# 8 column: 1th component of the stress (SXX) +# 9 column: 2th component of the stress (SYY) +# 10 column: 3th component of the stress (SZZ) +# 11 column: 4th component of the stress (SXY) +# 12 column: 5th component of the stress (SXZ) +# 13 column: 6th component of the stress (SYZ) +# 14 column: first component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XX) +# 15 column: second component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YY) +# 16 column: third component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]ZZ) +# 17 column: fourth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XY) +# 18 column: fifth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XZ) +# 19 column: sixth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YZ) +# 20 column: first component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XX) +# 21 column: second component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YY) +# 22 column: third component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]ZZ) +# 23 column: fourth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XY) +# 24 column: fifth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XZ) +# 25 column: sixth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YZ) +# 26 column: first component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XX) +# 27 column: second component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YY) +# 28 column: third component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]ZZ) +# 29 column: fourth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XY) +# 30 column: fifth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XZ) +# 31 column: sixth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YZ) +# 32 column: first component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XX) +# 33 column: second component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YY) +# 34 column: third component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]ZZ) +# 35 column: fourth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XY) +# 36 column: fifth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XZ) +# 37 column: sixth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YZ) +# 38 column: first component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XX) +# 39 column: second component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YY) +# 40 column: third component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]ZZ) +# 41 column: fourth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XY) +# 42 column: fifth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XZ) +# 43 column: sixth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YZ) +# 44 column: first component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XX) +# 45 column: second component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YY) +# 46 column: third component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]ZZ) +# 47 column: fourth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XY) +# 48 column: fifth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XZ) +# 49 column: sixth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YZ) +# 50 column: first component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XX) +# 51 column: second component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YY) +# 52 column: third component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]ZZ) +# 53 column: fourth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XY) +# 54 column: fifth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XZ) +# 55 column: sixth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YZ) +# 56 column: first component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XX) +# 57 column: second component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YY) +# 58 column: third component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]ZZ) +# 59 column: fourth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XY) +# 60 column: fifth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XZ) +# 61 column: sixth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YZ) +# 62 column: first component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XX) +# 63 column: second component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YY) +# 64 column: third component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]ZZ) +# 65 column: fourth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XY) +# 66 column: fifth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XZ) +# 67 column: sixth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YZ) +# 68 column: first component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XX) +# 69 column: second component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YY) +# 70 column: third component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]ZZ) +# 71 column: fourth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XY) +# 72 column: fifth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XZ) +# 73 column: sixth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YZ) +# 74 column: ne +# 75 column: stored energy +# 76 column: disspated energy +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0.02 1 -1 0 0 0 0 20.830294608552 -20.31031493185 -0.51997967670069 -0.052954673313528 1.7820022097502 -1.3041704526418 3.7954919822433 -3.8945924608761 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5.5539826982792 54.887313310251 -58.761228413778 3.8739151035246 13.196353018911 -21.054568424816 26.408468698485 60.003528535796 -59.556236938985 -0.44729159681207 -3.5863651053869 24.828259539221 24.654596940413 54.110465780125 -50.756573474187 -3.3538923059319 -16.045348626307 24.468501209965 -16.744275416471 59.617931482608 -53.993953969566 -5.6239775130416 13.617833578226 25.186253530062 22.443491653864 60.145772655111 -59.323982753453 -0.82178990165889 -4.6298536718805 26.768675677775 -22.799258495071 10.020858742577 0 0 diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref new file mode 100644 index 0000000..283ab55 --- /dev/null +++ b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref @@ -0,0 +1,127 @@ +# first column: time +# 2 column: 1th component of the strain (EXX) +# 3 column: 2th component of the strain (EYY) +# 4 column: 3th component of the strain (EZZ) +# 5 column: 4th component of the strain (EXY) +# 6 column: 5th component of the strain (EXZ) +# 7 column: 6th component of the strain (EYZ) +# 8 column: 1th component of the stress (SXX) +# 9 column: 2th component of the stress (SYY) +# 10 column: 3th component of the stress (SZZ) +# 11 column: 4th component of the stress (SXY) +# 12 column: 5th component of the stress (SXZ) +# 13 column: 6th component of the stress (SYZ) +# 14 column: first component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XX) +# 15 column: second component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YY) +# 16 column: third component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]ZZ) +# 17 column: fourth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XY) +# 18 column: fifth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XZ) +# 19 column: sixth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YZ) +# 20 column: first component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XX) +# 21 column: second component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YY) +# 22 column: third component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]ZZ) +# 23 column: fourth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XY) +# 24 column: fifth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XZ) +# 25 column: sixth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YZ) +# 26 column: first component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XX) +# 27 column: second component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YY) +# 28 column: third component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]ZZ) +# 29 column: fourth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XY) +# 30 column: fifth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XZ) +# 31 column: sixth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YZ) +# 32 column: first component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XX) +# 33 column: second component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YY) +# 34 column: third component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]ZZ) +# 35 column: fourth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XY) +# 36 column: fifth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XZ) +# 37 column: sixth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YZ) +# 38 column: first component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XX) +# 39 column: second component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YY) +# 40 column: third component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]ZZ) +# 41 column: fourth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XY) +# 42 column: fifth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XZ) +# 43 column: sixth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YZ) +# 44 column: first component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XX) +# 45 column: second component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YY) +# 46 column: third component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]ZZ) +# 47 column: fourth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XY) +# 48 column: fifth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XZ) +# 49 column: sixth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YZ) +# 50 column: first component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XX) +# 51 column: second component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YY) +# 52 column: third component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]ZZ) +# 53 column: fourth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XY) +# 54 column: fifth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XZ) +# 55 column: sixth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YZ) +# 56 column: first component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XX) +# 57 column: second component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YY) +# 58 column: third component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]ZZ) +# 59 column: fourth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XY) +# 60 column: fifth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XZ) +# 61 column: sixth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YZ) +# 62 column: first component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XX) +# 63 column: second component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YY) +# 64 column: third component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]ZZ) +# 65 column: fourth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XY) +# 66 column: fifth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XZ) +# 67 column: sixth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YZ) +# 68 column: first component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XX) +# 69 column: second component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YY) +# 70 column: third component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]ZZ) +# 71 column: fourth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XY) +# 72 column: fifth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XZ) +# 73 column: sixth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YZ) +# 74 column: ne +# 75 column: stored energy +# 76 column: disspated energy +0 0 0 0 0 0 0 0 0 0 0 0 0 0 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8.0162320063831 19.696144413578 -1.8211826764257 -6.5273690395831 3.9526236233075 28.814571578162 9.9509562414426 19.408962853018 -2.8581363768731 -2.2568206812406 1.951700984353 46.074683856546 -5.1463846706674 19.529913910386 -1.8684363962295 -5.9868999110304 -0.10518050648987 45.591942424298 -7.6379568609738 18.407432101672 -0.234319842272 -5.7352138016549 2.0713140585019 46.885628248495 -5.7013607747162 19.450426464453 -2.456339858309 -5.8520728082081 0.35492932211464 41.819029103928 -11.934907973038 19.012706062981 -2.6500212767268 -5.3331740723087 2.2497557958896 45.8430280465 -7.4579300665176 19.212193949432 -3.6761624301109 -3.9996813443403 1.5458531377877 10.020858742577 0 0 diff --git a/include/TFEL/Material/tensors.hxx b/include/TFEL/Material/tensors.hxx new file mode 100644 index 0000000..cafb8ba --- /dev/null +++ b/include/TFEL/Material/tensors.hxx @@ -0,0 +1,112 @@ +#ifndef LIB_TFEL_MATERIAL_TENSORS_HXX +#define LIB_TFEL_MATERIAL_TENSORS_HXX +template struct Delta{ +static const std::array,10>,10>& get_tensor(){ +static Delta Delta_; +return Delta_.tensor;} +std::array,10>,10> tensor; +private: +Delta(){ +this->tensor[0][0] = {{1.3079606135895099,0.24938427143648934,0.23775122063952292,0.0710849563017504,-0.05200102154213196,-0.004403492372682763},{0.24938427143648934,1.3424672161957854,0.24238663821678075,0.0872959242699819,-0.01374947891569078,-0.0801248037553467},{0.23775122063952292,0.24238663821678078,1.3087576428237504,0.014553413285146746,-0.06290792947338647,-0.06193331360842471},{0.07108495630175041,0.0872959242699819,0.014553413285146744,1.0456979702781941,-0.06376303276200407,-0.06998650414767409},{-0.05200102154213196,-0.013749478915690777,-0.06290792947338646,-0.06376303276200408,0.9972415219237076,0.08851664104995413},{-0.004403492372682766,-0.08012480375534671,-0.061933313608424724,-0.06998650414767409,0.08851664104995413,1.0282579238467842}}; +this->tensor[0][1] = {{0.25042034823019094,0.003338234310981419,-0.025001097968091305,-0.0027674837958043715,0.07518743335951172,0.01068328205814854},{0.0033382343109814266,0.05350900373006372,-0.026090560633493003,-0.014669631760859716,0.010185567521953504,0.05287745448726798},{-0.025001097968091322,-0.026090560633493017,0.2203781135664901,0.008696411665264001,0.08835750562849726,0.055520019541894006},{-0.0027674837958043827,-0.014669631760859716,0.008696411665264,0.08732498573038494,0.06188778134292883,0.08265235620343961},{0.07518743335951174,0.010185567521953513,0.08835750562849726,0.06188778134292881,0.1076073087041021,0.008864910546576042},{0.010683282058148539,0.05287745448726799,0.05552001954189399,0.0826523562034396,0.008864910546576038,-0.004572065051999498}}; +this->tensor[0][2] = {{-0.004299860872440003,-0.014934231932670483,0.007425212993753032,-0.05017025257242397,-0.053317311963866305,0.0005520047582211402},{-0.014934231932670494,0.2725897363195608,0.031564382502816735,-0.04463594349087408,-0.0007520420814635319,0.06374169442773976},{0.007425212993753026,0.03156438250281674,0.0751790765054947,-0.009668452826934983,-0.04766781137538918,0.06606257072765098},{-0.05017025257242397,-0.04463594349087408,-0.009668452826934982,0.06623695798109347,0.05198943174117557,-0.0410296812042403},{-0.053317311963866305,-0.0007520420814635307,-0.04766781137538917,0.051989431741175575,0.013705172896359046,-0.05471477527744301},{0.0005520047582211385,0.06374169442773975,0.06606257072765098,-0.04102968120424028,-0.054714775277443006,0.22922171563729357}}; +this->tensor[0][3] = {{0.080818563441216,0.007214386062940939,0.01578960420924272,0.009859940158102924,0.033959311714609544,-0.005355736238282191},{0.007214386062940936,0.023665198887018273,0.033709390621868694,0.0061797166692081976,0.0057067091838218596,0.0045734740602569246},{0.01578960420924272,0.033709390621868694,0.18414448395447763,-0.022424801930307072,0.03252583216809479,0.0066607493474291615},{0.009859940158102931,0.006179716669208203,-0.022424801930307076,0.048427027940516815,-0.005264866968780834,0.03643014377414966},{0.033959311714609544,0.005706709183821858,0.032525832168094786,-0.005264866968780833,0.1594966326852088,-0.034221780912920184},{-0.0053557362382821916,0.004573474060256926,0.0066607493474291615,0.03643014377414966,-0.0342217809129202,0.1735397732095855}}; +this->tensor[0][4] = {{0.13107521708978023,-0.001528787514257669,0.06276057333180778,-0.01107963911152592,0.04011042942393265,0.00394981335148702},{-0.0015287875142576735,0.012431106672519973,0.018633859988554862,-0.01220842242869551,-0.01328722067898529,-0.008097943319365725},{0.06276057333180779,0.018633859988554866,0.06868093518494592,-0.02117945452206208,0.03216059938304278,-0.015322576046134169},{-0.011079639111525916,-0.012208422428695506,-0.021179454522062078,0.06508959269646399,-0.0020629360878178927,0.0043800604803744415},{0.04011042942393266,-0.0132872206789853,0.03216059938304275,-0.0020629360878178884,0.2606345306988688,-0.047420761912186984},{0.003949813351487016,-0.00809794331936572,-0.015322576046134165,0.0043800604803744285,-0.04742076191218697,0.08195286858985108}}; +this->tensor[0][5] = {{-0.0029717576426849094,0.009912597934964625,-0.008433903707999743,-0.06952929652811411,-0.03092391610563919,0.005550410881061039},{0.009912597934964634,0.21166271987650026,0.0002926644638301276,-0.0761605076890257,0.009937922571143598,-0.027355915357007606},{-0.008433903707999745,0.0002926644638301106,0.15044205531327579,0.010919185943801701,-0.021698936292977273,-0.04739604677998048},{-0.0695292965281141,-0.07616050768902569,0.010919185943801705,0.08852596783951719,-0.019335470411757413,-0.0027138791933424213},{-0.03092391610563919,0.009937922571143596,-0.021698936292977283,-0.019335470411757417,0.00762898332793277,-0.037500838084745684},{0.00555041088106104,-0.027355915357007602,-0.047396046779980466,-0.0027138791933424226,-0.0375008380847457,0.1491715894999189}}; +this->tensor[0][6] = {{0.18087680055985902,0.019984680976436592,0.026952863236538466,0.021553493091889055,-0.1101107994774455,-0.013545157379795834},{0.019984680976436596,-0.0011238528057039877,0.0030521706662990813,0.023207357739352657,-0.006448036963995739,-0.006620915636607233},{0.02695286323653847,0.003052170666299079,-0.005259629982441797,-0.0003872841614342891,-0.09441233879282925,-0.003850193120647917},{0.021553493091889055,0.023207357739352657,-0.00038728416143429215,0.13804414580572213,-0.028590225628924302,-0.09199620612686073},{-0.1101107994774455,-0.0064480369639957355,-0.09441233879282925,-0.0285902256289243,0.15355406870557128,0.016883880762882858},{-0.013545157379795834,-0.006620915636607238,-0.0038501931206479235,-0.09199620612686071,0.016883880762882855,-0.008636953065907184}}; +this->tensor[0][7] = {{0.04979215200545102,0.03871225139326682,0.034780218837646974,0.04997160775209936,0.024833072996045077,0.006557966155115912},{0.038712251393266804,0.35822412316879065,0.007782105709532206,0.035872348111885874,-0.01101988385725486,-0.009716012286779272},{0.03478021883764699,0.007782105709532213,-0.061834674927596624,0.003391456069313296,0.02246881369724761,-0.017395718286089337},{0.049971607752099335,0.03587234811188583,0.0033914560693132875,0.2953920409016672,0.0012000834566474093,-0.00133155240648642},{0.02483307299604508,-0.011019883857254862,0.022468813697247597,0.0012000834566474013,0.051977514317110445,0.03985122366941724},{0.006557966155115917,-0.009716012286779275,-0.01739571828608935,-0.0013315524064864204,0.03985122366941725,0.15433343141377862}}; +this->tensor[0][8] = {{0.35102576449576744,0.004677640771556576,-0.02880965039230256,-0.03872979623046241,0.05081521989494419,-0.0010685074215116912},{0.004677640771556557,0.015328944697254496,0.0186605442497873,-0.030863566517158804,0.0021018883684439838,-0.08372115222219331},{-0.02880965039230258,0.018660544249787313,0.05490734549823421,0.008378874432362408,0.029486332629595255,-0.0869446849605925},{-0.0387297962304624,-0.0308635665171588,0.008378874432362403,0.15165664351002464,-0.06897471970495615,0.03534364784198887},{0.05081521989494419,0.002101888368443985,0.029486332629595262,-0.06897471970495614,0.08806601098071569,-0.012197804248434252},{-0.001068507421511687,-0.08372115222219331,-0.08694468496059249,0.035343647841988866,-0.01219780424843425,0.022880497400220433}}; +this->tensor[0][9] = {{-0.01136450756335735,0.016572289893635673,0.010118292153211769,0.019806470934485794,0.021447581700036758,-0.0029205837917563415},{0.016572289893635673,0.04457913659158136,0.0033421375473683943,0.025982725096186734,0.01732457485202596,0.09444411960203669},{0.010118292153211772,0.0033421375473683965,0.3379379853967339,0.007720652044850269,0.021687932428100305,0.10459919318490604},{0.01980647093448579,0.02598272509618674,0.00772065204485027,0.013604667316440815,0.072913955023488,0.04825161477864554},{0.021447581700036748,0.017324574852025963,0.0216879324281003,0.07291395502348798,0.16008825576044408,0.031939304406893035},{-0.00292058379175634,0.09444411960203668,0.10459919318490607,0.04825161477864554,0.03193930440689303,0.1738512185204695}}; +this->tensor[1][0] = {{0.16081809876249054,0.002143789428095022,-0.016055520530251922,-0.0017772576611404737,0.0482848145893977,0.006860724862323554},{0.0021437894280950122,0.034363087134728215,-0.016755165410396025,-0.009420729209909839,0.006541096261840816,0.033957510873777},{-0.016055520530251922,-0.016755165410396015,0.14152519746538222,0.005584771365216276,0.056742537764975794,0.03565454664161355},{-0.0017772576611404852,-0.00942072920990985,0.005584771365216272,0.05607946110957479,0.039743876256608364,0.05307873292572678},{0.048284814589397713,0.006541096261840819,0.0567425377649758,0.039743876256608364,0.06910461917748696,0.0056929801027581235},{0.006860724862323551,0.033957510873777,0.035654546641613535,0.053078732925726776,0.005692980102758124,-0.0029361464205174387}}; +this->tensor[1][1] = {{1.3479658275964264,0.23392369043894473,0.27352231861563536,0.06679299035025256,0.09119864116231383,0.004203779407127644},{0.23392369043894473,1.3809450576489475,0.24423595715387153,0.06384709031695095,0.008628395793017024,0.06795920740101619},{0.27352231861563536,0.24423595715387153,1.3393829421402899,0.00978581915601919,0.08032771864337901,0.04415432036815319},{0.06679299035025256,0.06384709031695095,0.009785819156019192,1.0393702360327755,0.05163879555840615,0.08297386621136597},{0.09119864116231383,0.008628395793017026,0.08032771864337902,0.051638795558406156,1.1174766660906326,0.06900374151338676},{0.004203779407127626,0.06795920740101617,0.04415432036815317,0.08297386621136597,0.06900374151338678,1.060955536828689}}; +this->tensor[1][2] = {{0.08392389413847481,0.011026188828281382,-0.015866287417449002,-0.06783764737632808,-0.03177647413638086,0.00013996790934257965},{0.011026188828281389,0.13564364504394055,0.058117163010567255,-0.06528793116712497,-0.010148034617701038,0.09159863493155901},{-0.015866287417449,0.058117163010567255,0.06545801105521262,0.001256943367596548,-0.030600585753390266,0.10113570005660144},{-0.0678376473763281,-0.06528793116712497,0.001256943367596548,0.12174656914394955,0.07596612645760531,-0.04284203603913312},{-0.03177647413638087,-0.010148034617701043,-0.030600585753390273,0.07596612645760528,0.014029333188912304,-0.05002530595277498},{0.00013996790934258025,0.09159863493155898,0.10113570005660145,-0.04284203603913312,-0.050025305952774976,0.2318313458968828}}; +this->tensor[1][3] = {{0.06392916832991427,-0.011771637220513626,0.0526265530689418,-0.06003003701275402,0.03306865981987216,-0.0005791009007758012},{-0.011771637220513616,0.20631252394511507,0.01495688680521572,-0.06101649545551217,0.010309821237257797,-0.04959712586830841},{0.05262655306894182,0.014956886805215723,0.020189710488498824,-0.012572171154478921,0.04267850471910852,-0.04803538052900142},{-0.060030037012754014,-0.06101649545551216,-0.012572171154478912,0.09149405271968589,-0.039400135409915674,0.04838666580318117},{0.03306865981987216,0.010309821237257795,0.04267850471910851,-0.039400135409915674,0.15266564265016405,-0.070270119080143},{-0.0005791009007758059,-0.04959712586830841,-0.04803538052900143,0.04838666580318118,-0.07027011908014298,0.13550058198464898}}; +this->tensor[1][4] = 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{{1.1937636411277581,0.2217415494795713,0.2520852779876882,0.0010616717712202788,0.005101270027827457,-0.001382057389865679},{0.2217415494795713,1.5995319291784467,0.2640461307164756,0.023484673016235302,0.012937125248017545,0.06369516834372657},{0.2520852779876882,0.26404613071647565,1.2841347801327898,-0.008716953263827808,0.011717933637194344,0.04918625011229005},{0.0010616717712202883,0.023484673016235313,-0.00871695326382781,1.0390736953412878,0.0418465614218537,0.02998524796032487},{0.005101270027827461,0.012937125248017543,0.01171793363719433,0.041846561421853716,0.9413981409477541,-0.006109261256934529},{-0.0013820573898656815,0.06369516834372656,0.04918625011229005,0.029985247960324878,-0.006109261256934526,1.1973915912827624}}; +this->tensor[8][9] = {{0.035922529202989474,0.0028422650657967045,0.043098336372584825,0.05074363055143073,0.02424898393606878,0.015647005212194375},{0.002842265065796712,0.19487891663889853,-0.00718805592569996,0.05822050666671043,-0.015393002683439646,-0.05813669608290458},{0.04309833637258481,-0.0071880559256999686,0.12291151674613657,0.015109853688988449,-0.000598508825825685,-0.06967348048022425},{0.05074363055143073,0.05822050666671042,0.015109853688988449,0.09313162760758986,-0.021933648052635386,-0.018525151633649848},{0.02424898393606878,-0.015393002683439646,-0.0005985088258256869,-0.021933648052635386,0.1560263654511903,0.07010942686761099},{0.015647005212194375,-0.05813669608290457,-0.06967348048022425,-0.01852515163364984,0.07010942686761099,0.11582580037551693}}; +this->tensor[9][0] = {{-0.007257288648767102,0.010582939089850462,0.006461464905456702,0.012648262661942175,0.01369626359500445,-0.0018650627386616893},{0.010582939089850465,0.02846789974437881,0.0021342637813319605,0.016592371895864298,0.011063342579286383,0.060311301066896146},{0.0064614649054567045,0.002134263781331954,0.21580464368860994,0.004930350051138726,0.013849749753622768,0.06679625431537264},{0.012648262661942173,0.016592371895864308,0.0049303500511387295,0.008687837738273519,0.04656230066974382,0.03081311656184791},{0.01369626359500445,0.011063342579286387,0.013849749753622777,0.046562300669743824,0.10223115034716526,0.02039619843001486},{-0.001865062738661687,0.06031130106689615,0.06679625431537262,0.030813116561847907,0.02039619843001486,0.11102007435948409}}; +this->tensor[9][1] = {{0.1705593398918978,0.010199988808920922,-0.004380809267232184,0.05506531569622015,-0.08785175921850069,-0.005642621489390782},{0.010199988808920925,0.011040934647905551,0.0067170011875633505,0.061807951959516494,-0.009003498572480458,-0.02556327453409159},{-0.004380809267232179,0.006717001187563362,0.22212798094721095,0.015738938130447303,-0.08836823853480937,-0.03181122993789806},{0.05506531569622015,0.06180795195951648,0.015738938130447296,0.07039420700256925,-0.03273533689217497,-0.08549553106058666},{-0.08785175921850068,-0.009003498572480452,-0.08836823853480934,-0.032735336892174956,0.15040274875203527,0.07435321419449975},{-0.005642621489390781,-0.025563274534091584,-0.03181122993789807,-0.08549553106058669,0.07435321419449975,0.0901424836676137}}; +this->tensor[9][2] = {{0.0987500104871891,-0.0034051528894696237,0.016501707319529338,0.05362307034820811,0.036916414834959166,-0.001208750566411387},{-0.0034051528894696093,0.21025260298983073,0.017473499387915026,0.05065625002735419,0.011399349699833089,-0.06127887680951233},{0.016501707319529338,0.017473499387915023,0.02143695796745488,-0.019415113054565718,0.04987635334713546,-0.06482345445144709},{0.05362307034820811,0.050656250027354195,-0.019415113054565714,0.12193762013814309,-0.05172194771139477,0.054694621844055984},{0.03691641483495916,0.011399349699833089,0.049876353347135444,-0.05172194771139478,0.06791312677092598,0.005880692956946652},{-0.0012087505664113746,-0.061278876809512293,-0.06482345445144708,0.054694621844055984,0.005880692956946651,0.13234248011383323}}; +this->tensor[9][3] = {{0.11417206508556167,-0.002316111234412522,0.018661430122951805,-0.022637417504573164,-0.09187309794639513,0.002024172903540644},{-0.002316111234412526,0.21274524394549107,-0.004448043716683343,-0.03804384088421006,0.00019532794400568858,0.07617661518127487},{0.0186614301229518,-0.0044480437166833356,0.05134314869601755,-0.024694127148368154,-0.09433285101907622,0.0689167892325415},{-0.022637417504573154,-0.03804384088421005,-0.024694127148368144,0.1227476687254158,0.06065585530212811,-0.07279563762636486},{-0.09187309794639509,0.00019532794400569783,-0.09433285101907621,0.060655855302128116,0.08668911038896947,-0.06846138844626304},{0.0020241729035406454,0.0761766151812749,0.06891678923254149,-0.07279563762636487,-0.06846138844626304,0.0823944432765418}}; +this->tensor[9][4] = {{0.09195634888190206,0.03371142138711018,-0.010796674514223753,-0.016871054442188792,0.007861756740207828,0.00641394555877591},{0.03371142138711019,0.06566593304122029,-0.005466391000398591,-0.006675543672600888,-0.0012819837617011553,0.015825613461261653},{-0.010796674514223753,-0.005466391000398587,0.17939955689135062,0.015445971914438743,0.0062048904746711065,0.028912185688941976},{-0.016871054442188796,-0.006675543672600893,0.015445971914438741,0.12831383112618072,0.02916499188268282,0.00320929130131103},{0.007861756740207825,-0.001281983761701156,0.00620489047467111,0.029164991882682834,0.0777562659617379,0.01866167645536083},{0.006413945558775908,0.015825613461261646,0.02891218568894196,0.0032092913013110295,0.01866167645536083,0.07677231503002559}}; +this->tensor[9][5] = {{0.03122704926193562,-0.010463067559526779,0.0120535807182235,-0.025644529336446575,0.01713788238249018,0.01481179320523318},{-0.010463067559526777,0.19952792512190456,0.015263569906161744,-0.027393009354975725,-0.008478427097002266,0.021335256759135807},{0.012053580718223503,0.015263569906161751,0.09821259441512728,0.017063472370010446,0.025025322134889855,0.025692381977486554},{-0.025644529336446575,-0.02739300935497572,0.017063472370010446,0.05709189853364206,0.04523986198435761,0.0012423237099991851},{0.01713788238249019,-0.008478427097002259,0.025025322134889866,0.04523986198435761,0.05834814929524513,0.009999446134222604},{0.014811793205233173,0.02133525675913581,0.025692381977486554,0.0012423237099991875,0.009999446134222607,0.16005194158662028}}; +this->tensor[9][6] = {{0.24287719072141925,-0.02137223485479758,6.871643827488073e-05,0.046392097000096146,0.0010250752050049963,-0.001860150279553516},{-0.021372234854797577,0.04399093946016834,0.020033015699261074,0.028051333651610624,0.007690875165778905,0.009450487646305714},{6.871643827486994e-05,0.020033015699261067,-0.009854377216765669,0.004385653371137703,-0.00508634435559927,0.003426711305815827},{0.04639209700009614,0.02805133365161063,0.004385653371137701,0.06338478580970369,0.0016972557049568507,0.012302383869502501},{0.0010250752050050102,0.00769087516577891,-0.005086344355599267,0.0016972557049568494,0.08826426318259596,0.037169239292483475},{-0.0018601502795535148,0.009450487646305713,0.0034267113058158247,0.012302383869502501,0.037169239292483475,0.028791777259995547}}; +this->tensor[9][7] = {{0.23669976217840055,0.03160110420781481,0.0019057602499920724,-0.16429403744859353,0.032436289661597846,-0.009330900556764185},{0.03160110420781482,0.09033409629506753,0.030833781140020344,-0.16216213172457875,0.0045545493934671406,-0.0052884595540843736},{0.0019057602499920798,0.030833781140020347,0.053015602458404296,-0.008419779419121007,0.03170578573667925,0.007234407589424071},{-0.16429403744859353,-0.16216213172457875,-0.008419779419121007,0.22282113862587388,-0.016096969453552545,0.03342768843100485},{0.032436289661597846,0.004554549393467142,0.03170578573667927,-0.016096969453552556,0.12620054082438611,-0.1434590629722074},{-0.009330900556764185,-0.005288459554084377,0.007234407589424065,0.03342768843100485,-0.1434590629722074,0.11881344649706384}}; +this->tensor[9][8] = {{0.034181548265670283,0.0027045150407322255,0.04100958082781803,0.04828434676934397,0.02307375992710591,0.014888675038759996},{0.002704515040732218,0.18543413403364908,-0.006839687683793412,0.05539885700793579,-0.014646982711167942,-0.055319108293720116},{0.04100958082781803,-0.006839687683793406,0.11695462528053852,0.014377556497730414,-0.0005695021695671015,-0.0662967638613212},{0.04828434676934397,0.05539885700793578,0.01437755649773041,0.08861801478790336,-0.020870636511055134,-0.017627332449680445},{0.023073759927105905,-0.014646982711167949,-0.000569502169567116,-0.020870636511055123,0.1484645669365374,0.06671158216093116},{0.014888675038760001,-0.055319108293720096,-0.06629676386132116,-0.01762733244968045,0.06671158216093115,0.11021231727792853}}; +this->tensor[9][9] = {{1.3201673072081834,0.2820899313371162,0.25184857653253995,0.013433946255996546,0.04757741481852175,-0.018231101075533676},{0.2820899313371162,1.2858736240537334,0.2576323246319468,0.021767761094081812,-0.0014925526400203603,-0.03564955492346461},{0.25184857653254,0.25763232463194685,1.38489260020532,-0.019412922712852724,0.06169483463205374,-0.03804728185890895},{0.013433946255996549,0.021767761094081805,-0.019412922712852727,1.116002997512327,-0.06189537497569112,0.04022907541891012},{0.04757741481852175,-0.0014925526400203603,0.06169483463205371,-0.06189537497569112,1.0937300775404017,-0.021251598205994676},{-0.018231101075533687,-0.03564955492346463,-0.03804728185890897,0.04022907541891013,-0.02125159820599468,1.0894587209309141}}; +}}; + +#endif /* LIB_TFEL_MATERIAL_TENSORS_HXX */ From 4ff9b910a0d820798883337775ac96e74cb28559 Mon Sep 17 00:00:00 2001 From: Thomas Helfer Date: Mon, 2 Feb 2026 12:51:47 +0100 Subject: [PATCH 2/8] small fix --- .../homogenization/MassonAffineFormulation/CMakeLists.txt | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt index eba0096..7570962 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt +++ b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt @@ -2,6 +2,11 @@ mfront_behaviours_library(MassonAffineFormulation Affine_formulation Affine_tensors ) + +STRING(COMPARE EQUAL "${CMAKE_SOURCE_DIR}" "${CMAKE_BINARY_DIR}" _insource) +if(NOT _insource) + configure_file(polycrystal.csv polycrystal.csv) +endif() genericmtest(MassonAffineFormulation Affine_formulation BEHAVIOUR Affine_formulation From 5d9967db09f7251cb43278cb03a48897ce1e03af Mon Sep 17 00:00:00 2001 From: MARTIN Antoine Date: Mon, 2 Feb 2026 13:01:15 +0100 Subject: [PATCH 3/8] update reference files --- .../MassonAffineFormulation/Affine_formulation.mtest | 8 ++++---- .../MassonAffineFormulation/Affine_tensors.mtest | 8 ++++---- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest index 3c52310..d81de8b 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest @@ -2,11 +2,11 @@ @Behaviour<@interface@> @library@ @behaviour@; @ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; -@MaterialProperty 'nexp' "1"; +@MaterialProperty 'nexp' "1+0.9*(exp(2.4*t)-1)"; @MaterialProperty 'tau1' 10.; -@MaterialProperty 'tau2' 10.; +@MaterialProperty 'tau2' 50.; -@MaterialProperty 'kap' "0.01"; +@MaterialProperty 'kap' "0.001"; @ImposedStrain 'EXX' {0 : 1, 1 : 1}; @ImposedStrain 'EYY' {0 : -1, 1 : -1}; @@ -14,7 +14,7 @@ @ImposedStrain 'EXY' {0 : 0, 1 : 0}; @ImposedStrain 'EXZ' {0 : 0, 1 : 0}; @ImposedStrain 'EYZ' {0 : 0, 1 : 0}; -@Times {0.,0.1 in 100}; +@Times {0.,1 in 50}; @OutputFilePrecision 14; diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest index 76b3168..464be80 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mtest @@ -2,11 +2,11 @@ @Behaviour<@interface@> @library@ @behaviour@; @ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; -@MaterialProperty 'nexp' "1"; +@MaterialProperty 'nexp' "1+0.9*(exp(2.4*t)-1)"; @MaterialProperty 'tau1' 10.; -@MaterialProperty 'tau2' 10.; +@MaterialProperty 'tau2' 50.; -@MaterialProperty 'kap' "0.01"; +@MaterialProperty 'kap' "0.001"; @MaterialProperty 'r0' "1"; @ImposedStrain 'EXX' {0 : 1, 1 : 1}; @@ -15,7 +15,7 @@ @ImposedStrain 'EXY' {0 : 0, 1 : 0}; @ImposedStrain 'EXZ' {0 : 0, 1 : 0}; @ImposedStrain 'EYZ' {0 : 0, 1 : 0}; -@Times {0.,0.1 in 100}; +@Times {0.,1 in 50}; @OutputFilePrecision 14; From 02460030072a696123465434cc8f03eb6fb0ee1a Mon Sep 17 00:00:00 2001 From: Thomas Helfer Date: Wed, 4 Feb 2026 16:04:35 +0100 Subject: [PATCH 4/8] mv tensors.hxx in generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/ --- .../MassonAffineFormulation/Affine_tensors.mfront | 2 +- .../include/extra-headers}/TFEL/Material/tensors.hxx | 0 2 files changed, 1 insertion(+), 1 deletion(-) rename {include => generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers}/TFEL/Material/tensors.hxx (100%) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront index 214149d..3275e01 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront @@ -11,7 +11,7 @@ @TFELLibraries {"Material"}; @Includes{ -#include "TFEL/Material/tensors.hxx" +#include "extra-headers/TFEL/Material/tensors.hxx" #include "TFEL/Material/ExtendedPolyCrystalsSlidingSystems.hxx"} //! number of phases diff --git a/include/TFEL/Material/tensors.hxx b/generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx similarity index 100% rename from include/TFEL/Material/tensors.hxx rename to generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx From cdec75c4902905e8201e1f25a7fe090a7108ca82 Mon Sep 17 00:00:00 2001 From: Thomas Helfer Date: Wed, 11 Feb 2026 08:03:53 +0100 Subject: [PATCH 5/8] Fix Issue #73 --- .../models/ChemicalReaction3b.mfront | 16 ++++++++++++++-- 1 file changed, 14 insertions(+), 2 deletions(-) diff --git a/mfront-book-examples/models/ChemicalReaction3b.mfront b/mfront-book-examples/models/ChemicalReaction3b.mfront index 8e5e6ee..d9f1ffd 100644 --- a/mfront-book-examples/models/ChemicalReaction3b.mfront +++ b/mfront-book-examples/models/ChemicalReaction3b.mfront @@ -30,7 +30,13 @@ theta.setEntryName("Theta"); } @Integrator { - constexpr auto zero = quantity{}; + constexpr auto zero = [] { + if constexpr (use_qt) { + return quantity{}; + } else { + return real{}; + } + }(); const auto K = dt * (k1_mts + k2_mts); const auto sum = ca + cb; ca += B / (1 + K * theta); @@ -47,7 +53,13 @@ theta.setEntryName("Theta"); } @APosterioriTimeStepScalingFactor{ - constexpr auto eps = quantity{1e-10}; + constexpr auto eps = [] { + if constexpr (use_qt) { + return quantity{1e-10}; + } else { + return real{1e-10}; + } + }(); const auto K = dt * (k1_mts + k2_mts); // increment for theta = 1/2 const auto dca_1 = 2 * B / (2 + K); From 959949ecd2ddf43869af87755514e9625555a52f Mon Sep 17 00:00:00 2001 From: MARTIN Antoine Date: Wed, 11 Feb 2026 15:06:55 +0100 Subject: [PATCH 6/8] updated Affine formulation --- .../MassonAffineFormulation/Affine_formulation.mfront | 2 +- .../MassonAffineFormulation/Affine_tensors.mfront | 2 +- .../MassonAffineFormulation/include}/TFEL/Material/tensors.hxx | 0 3 files changed, 2 insertions(+), 2 deletions(-) rename {include => generic-behaviours/homogenization/MassonAffineFormulation/include}/TFEL/Material/tensors.hxx (100%) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront index eef57c5..bc85889 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront @@ -15,7 +15,7 @@ #include "TFEL/Material/AnisotropicEshelbyTensor.hxx" #include "TFEL/Material/MicrostructureDescription.hxx" #include "TFEL/Material/MicrostructureLinearHomogenization.hxx" -#include "TFEL/Material/ExtendedPolyCrystalsSlidingSystems.hxx"} +#include "TFEL/Material/PolyCrystalsSlidingSystems.hxx"} //! number of phases @IntegerConstant Np = 10; diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront index 214149d..bf21e6e 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront @@ -12,7 +12,7 @@ @Includes{ #include "TFEL/Material/tensors.hxx" -#include "TFEL/Material/ExtendedPolyCrystalsSlidingSystems.hxx"} +#include "TFEL/Material/PolyCrystalsSlidingSystems.hxx"} //! number of phases @IntegerConstant Np =10; diff --git a/include/TFEL/Material/tensors.hxx b/generic-behaviours/homogenization/MassonAffineFormulation/include/TFEL/Material/tensors.hxx similarity index 100% rename from include/TFEL/Material/tensors.hxx rename to generic-behaviours/homogenization/MassonAffineFormulation/include/TFEL/Material/tensors.hxx From 6570319af3582b290c0d01fa86e91bb39ae307e6 Mon Sep 17 00:00:00 2001 From: MARTIN Antoine Date: Fri, 6 Mar 2026 16:09:30 +0100 Subject: [PATCH 7/8] updated Masson affine --- .../Affine_formulation.mfront | 142 -------- .../Affine_formulation.mtest | 24 -- .../Affine_tensors.mfront | 77 +++-- .../Affine_tensors.mtest | 9 +- .../MassonAffineFormulation/CMakeLists.txt | 7 +- .../extra-headers/TFEL/Material/tensors.hxx | 309 ++++++++++++------ .../references/Affine_formulation.ref | 127 ------- .../references/Affine_tensors.ref | 150 ++++++--- .../homogenization/PonteCastaneda1992.mfront | 3 +- 9 files changed, 354 insertions(+), 494 deletions(-) delete mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront delete mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest delete mode 100644 generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront deleted file mode 100644 index bc85889..0000000 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mfront +++ /dev/null @@ -1,142 +0,0 @@ -@DSL ImplicitII; -@Behaviour Affine_formulation; -@Author Martin Antoine; -@Date 24 / 01 / 26; -@Description{"Affine formulation for homogenization of a viscoplastic polycrystal, Masson et al. 2001.", based on self-consistent scheme}; -@UseQt false; -@Algorithm NewtonRaphson_NumericalJacobian; -@PerturbationValueForNumericalJacobianComputation 1e-10; -@Epsilon 1e-14; - -@TFELLibraries {"Material"}; -@Includes{ -#include "TFEL/Material/IsotropicModuli.hxx" -#include "TFEL/Material/IsotropicEshelbyTensor.hxx" -#include "TFEL/Material/AnisotropicEshelbyTensor.hxx" -#include "TFEL/Material/MicrostructureDescription.hxx" -#include "TFEL/Material/MicrostructureLinearHomogenization.hxx" -#include "TFEL/Material/PolyCrystalsSlidingSystems.hxx"} - -//! number of phases -@IntegerConstant Np = 10; - -//! normalization strainrate -@Parameter real gamma0 = 1.0; -@Parameter real k0 = 1.; -@Parameter real mu0 = 1.; - -@ModellingHypothesis Tridimensional; -@OrthotropicBehaviour; -@CrystalStructure HCP; -@SlidingSystems{<1, 1, -2, 0>{1, -1, 0, 0}, - <-2, 1, 1, 3>{1, -1, 0, 1}, - <-2, 1, 1, 0>{0, 0, 0, 1}, - <1, 1, -2, 0>{1, -1, 0, 1}}; - -@MaterialProperty real nexp; -@MaterialProperty real tau1; -@MaterialProperty real tau2; -@MaterialProperty real kap; - -@StateVariable Stensor sigma[Np]; -sigma.setEntryName("PhaseReferenceStress"); - -@AuxiliaryStateVariable real ne; - -@LocalVariable Stensor4 I; -@LocalVariable real frac[Np]; -@LocalVariable real tau0[Np]; -@LocalVariable Stensor4 M[Np]; -@LocalVariable Stensor4 L[Np]; -@LocalVariable tmatrix<6*Np,6,real> A; -@LocalVariable tmatrix<6*Np,6,real> dsigma_deto; - -@InitLocalVariables{ -I=tfel::math::st2tost2<3u,real>::Id(); -for (int r=0;r, real>; -const auto& gs = - PolyCrystalsSlidingSystems::getPolyCrystalsSlidingSystems("polycrystal.csv"); - -//tangent modulus and polarization///////////////////////////////// -using namespace tfel::math; -Stensor4 LSC; -Stensor e[Np]; -Stensor dpsi_dsigma[Np]; - -for (int r=0;r(k0,mu0); -auto micro=ParticulateMicrostructure<3u,stress>(IM0); -const auto sphere=Sphere(); -std::vector polarisations; -const auto zero = Stensor::zero(); -polarisations.resize(Np+1, zero); - -for (int r=0 ; r(sphere,frac[r],L[r]); - micro.addInclusionPhase(distribution); - polarisations[r+1]=-L[r]*e[r]; -} -const auto hmSC=computeSelfConsistent<3u,stress>(micro,1e-6,true,0,polarisations); -LSC = hmSC.homogenized_stiffness; -const auto tauSC = hmSC.effective_polarisation; -const auto A_SC=hmSC.mean_strain_localisation_tensors; - -auto KGSC = computeKGModuli(LSC); -const auto PSC = computeSphereHillPolarisationTensor(KGSC); -const auto MSC_star = invert(invert(PSC)- LSC); - -//residues///////////////////////////////////// -for (int r=0;r(A,6*r,0)=Ar; - fsigma[r] = M[r]*(sigma[r]+dsigma[r])-Ar*(eto+deto); - fsigma[r]-=M[r]*(invert(M[r]+MSC_star))*(MSC_star*tauSC - e[r]); -} - -//macroscopic stress////////////////////////////////////// -sig=LSC*(eto+deto)+tauSC; - -} - -@TangentOperator{ -if (smt){ -tmatrix<6*Np,6*Np,real> iJ = jacobian; -TinyMatrixInvert<6*Np,real>::exe(iJ); -dsigma_deto=iJ*A; -Dt=Stensor4::zero(); -for (int r=0;r(dsigma_deto,6*r,0); - Dt+=frac[r]*dsigmar_deto; -} -} -} diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest deleted file mode 100644 index d81de8b..0000000 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_formulation.mtest +++ /dev/null @@ -1,24 +0,0 @@ -@ModellingHypothesis 'Tridimensional'; -@Behaviour<@interface@> @library@ @behaviour@; -@ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; - -@MaterialProperty 'nexp' "1+0.9*(exp(2.4*t)-1)"; -@MaterialProperty 'tau1' 10.; -@MaterialProperty 'tau2' 50.; - -@MaterialProperty 'kap' "0.001"; - -@ImposedStrain 'EXX' {0 : 1, 1 : 1}; -@ImposedStrain 'EYY' {0 : -1, 1 : -1}; -@ImposedStrain 'EZZ' {0 : 0, 1 : 0}; -@ImposedStrain 'EXY' {0 : 0, 1 : 0}; -@ImposedStrain 'EXZ' {0 : 0, 1 : 0}; -@ImposedStrain 'EYZ' {0 : 0, 1 : 0}; -@Times {0.,1 in 50}; - -@OutputFilePrecision 14; - -@Test @reference_file@ 'SXX' 8 1.e-3; -@Test @reference_file@ 'SYY' 9 1.e-3; -@Test @reference_file@ 'ne' 74 1e-3; - diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront index bcc91eb..a00d585 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront @@ -1,16 +1,16 @@ @DSL ImplicitII; @Behaviour Affine_tensors; @Author Martin Antoine; -@Date 26 / 01 / 26; +@Date 06 / 03 / 26; @Description{"Affine formulation for homogenization of a viscoplastic polycrystal, (Masson et al. 2001.), based on Green interaction tensors"}; @UseQt false; -@Algorithm NewtonRaphson_NumericalJacobian; -@PerturbationValueForNumericalJacobianComputation 1e-10; +@Algorithm NewtonRaphson; @Epsilon 1e-14; @TFELLibraries {"Material"}; @Includes{ +#include "TFEL/Material/IsotropicModuli.hxx" #include "extra-headers/TFEL/Material/tensors.hxx" #include "TFEL/Material/PolyCrystalsSlidingSystems.hxx"} @@ -20,8 +20,6 @@ //! normalization strainrate @Parameter real gamma0 = 1.0; //! bulk modulus of the reference medium used for the interaction tensors -@Parameter stress k0 = 1; -//! bulk modulus of the reference medium used for the interaction tensors @Parameter stress mu0 = 1; @ModellingHypothesis Tridimensional; @@ -36,7 +34,7 @@ @MaterialProperty real tau1; @MaterialProperty real tau2; @MaterialProperty real kap; -@MaterialProperty real r0; +//@MaterialProperty real r0; @StateVariable Stensor sigma[Np]; sigma.setEntryName("PhaseReferenceStress"); @@ -54,31 +52,30 @@ sigma.setEntryName("PhaseReferenceStress"); @LocalVariable Stensor4 L[Np]; @LocalVariable Stensor4 Ar[Np]; @LocalVariable tmatrix<6*Np,6,real> A; -@LocalVariable std::array,Np>,Np> DELTA; +@LocalVariable std::array,Np>,Np> GAMMA; @LocalVariable tmatrix<6*Np,6,real> dsigma_deto; +@LocalVariable real r0; +@LocalVariable real muhom; @InitLocalVariables{ I=tfel::math::st2tost2<3u,real>::Id(); J=tfel::math::st2tost2<3u,real>::J(); K=tfel::math::st2tost2<3u,real>::K(); -DELTA=Delta::get_tensor(); -L0=r0*(3*k0*J+2*mu0*K); -M0=invert(L0); - -for (int r=0;r::get_tensor(); +r0=1; +L0=2*mu0*K; +M0=1/(2*mu0)*K; +r0=max(real(1),r0); } @Integrator { ne=nexp; -using PolyCrystalsSlidingSystems = +using ExtendedPolyCrystalsSlidingSystems = ExtendedPolyCrystalsSlidingSystems, real>; const auto& gs = - PolyCrystalsSlidingSystems::getPolyCrystalsSlidingSystems("polycrystal.csv"); + ExtendedPolyCrystalsSlidingSystems::getPolyCrystalsSlidingSystems("polycrystal.csv"); //tangent modulus and polarization///////////////////////////////// using namespace tfel::math; @@ -91,12 +88,15 @@ for (int r=0;rint(Nss/12)){tau0rk=tau1;} + else{tau0rk=tau2;} const auto Nkr = gs.mus[r][k]^gs.mus[r][k]; const auto taukr = gs.mus[r][k] | (sigma[r]+dsigma[r]); - const auto puisn_1 = pow(abs(taukr)/tau0[r], nexp-1); - const auto fac= nexp*gamma0/tau0[r]*puisn_1; + const auto puisn_1 = pow(abs(taukr)/tau0rk, nexp-1); + const auto fac= nexp*gamma0/tau0rk*puisn_1; M[r]+=fac*Nkr; - const auto puisn = puisn_1*abs(taukr)/tau0[r]; + const auto puisn = puisn_1*abs(taukr)/tau0rk; const auto sgn= taukr< 0 ? -real(1) : real(1); dpsi_dsigma[r]+=sgn*gamma0*puisn*gs.mus[r][k]; } @@ -110,13 +110,11 @@ tmatrix<6*Np,6*Np,real> MAT; tmatrix<6*Np,6*Np,real> G; tmatrix<6*Np,6,real> E; for (int r=0;r(E,6*r,0)=L0; - const auto dM = M[r]-M0; + map_derivative(E,6*r,0)=I; for (int s=0;s(MAT,6*r,6*s) +=r0*DELTA[r][s]*dM; - map_derivative(G,6*r,6*s) -=r0*DELTA[r][s]; - } + const auto dL = L[s]-r0*L0; + map_derivative(MAT,6*r,6*s) =1/r0*GAMMA[r][s]*dL; + map_derivative(G,6*r,6*s) =1/r0*GAMMA[r][s]*L[s]; } map_derivative(MAT,6*r,6*r) +=I; } @@ -128,34 +126,37 @@ tmatrix<6*Np,6*Np,real> B = MAT*G; Chom=Stensor4::zero(); for (int r=0;r(A,6*r,0); - Chom+=frac[r]*Ar[r]; + Chom+=frac[r]*L[r]*Ar[r]; } + +auto KGhom=tfel::material::computeKGModuli(Chom); +muhom=KGhom.mu; + +auto tau_eff=Stensor::zero(); //residues///////////////////////////////////// for (int r=0;r(B,6*r,6*s); - fsigma[r]-=M[r]*Brs*e[s]; + tau_eff+=frac[r]*L[r]*Brs*e[s]; + fsigma[r]-=L[r]*Brs*e[s]; } + dfsigma_ddsigma(r,r)=I; } //macroscopic stress////////////////////////////////////// -auto tau_eff=Stensor::zero(); -for (int r=0;r(A,6*r,0)=M[r]*Ar[r]; +map_derivative(A,6*r,0)=L[r]*Ar[r]; } - tmatrix<6*Np,6*Np,real> iJ = jacobian; TinyMatrixInvert<6*Np,real>::exe(iJ); dsigma_deto=iJ*A; @@ -166,5 +167,3 @@ for (int r=0;r 'nexp' "1+0.9*(exp(2.4*t)-1)"; -@MaterialProperty 'tau1' 10.; -@MaterialProperty 'tau2' 50.; +@MaterialProperty 'tau1' 5.; +@MaterialProperty 'tau2' 1; -@MaterialProperty 'kap' "0.001"; -@MaterialProperty 'r0' "1"; +@MaterialProperty 'kap' "0.05"; @ImposedStrain 'EXX' {0 : 1, 1 : 1}; @ImposedStrain 'EYY' {0 : -1, 1 : -1}; @@ -15,7 +14,7 @@ @ImposedStrain 'EXY' {0 : 0, 1 : 0}; @ImposedStrain 'EXZ' {0 : 0, 1 : 0}; @ImposedStrain 'EYZ' {0 : 0, 1 : 0}; -@Times {0.,1 in 50}; +@Times {0.,1 in 100}; @OutputFilePrecision 14; diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt index 7570962..6f2cc3d 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt +++ b/generic-behaviours/homogenization/MassonAffineFormulation/CMakeLists.txt @@ -1,5 +1,4 @@ mfront_behaviours_library(MassonAffineFormulation - Affine_formulation Affine_tensors ) @@ -7,11 +6,7 @@ STRING(COMPARE EQUAL "${CMAKE_SOURCE_DIR}" "${CMAKE_BINARY_DIR}" _insource) if(NOT _insource) configure_file(polycrystal.csv polycrystal.csv) endif() - -genericmtest(MassonAffineFormulation Affine_formulation - BEHAVIOUR Affine_formulation - REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Affine_formulation.ref) - + genericmtest(MassonAffineFormulation Affine_tensors BEHAVIOUR Affine_tensors REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Affine_tensors.ref) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx b/generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx index cafb8ba..85fe0c5 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx +++ b/generic-behaviours/homogenization/MassonAffineFormulation/include/extra-headers/TFEL/Material/tensors.hxx @@ -7,106 +7,215 @@ return Delta_.tensor;} std::array,10>,10> tensor; private: Delta(){ -this->tensor[0][0] = {{1.3079606135895099,0.24938427143648934,0.23775122063952292,0.0710849563017504,-0.05200102154213196,-0.004403492372682763},{0.24938427143648934,1.3424672161957854,0.24238663821678075,0.0872959242699819,-0.01374947891569078,-0.0801248037553467},{0.23775122063952292,0.24238663821678078,1.3087576428237504,0.014553413285146746,-0.06290792947338647,-0.06193331360842471},{0.07108495630175041,0.0872959242699819,0.014553413285146744,1.0456979702781941,-0.06376303276200407,-0.06998650414767409},{-0.05200102154213196,-0.013749478915690777,-0.06290792947338646,-0.06376303276200408,0.9972415219237076,0.08851664104995413},{-0.004403492372682766,-0.08012480375534671,-0.061933313608424724,-0.06998650414767409,0.08851664104995413,1.0282579238467842}}; -this->tensor[0][1] = {{0.25042034823019094,0.003338234310981419,-0.025001097968091305,-0.0027674837958043715,0.07518743335951172,0.01068328205814854},{0.0033382343109814266,0.05350900373006372,-0.026090560633493003,-0.014669631760859716,0.010185567521953504,0.05287745448726798},{-0.025001097968091322,-0.026090560633493017,0.2203781135664901,0.008696411665264001,0.08835750562849726,0.055520019541894006},{-0.0027674837958043827,-0.014669631760859716,0.008696411665264,0.08732498573038494,0.06188778134292883,0.08265235620343961},{0.07518743335951174,0.010185567521953513,0.08835750562849726,0.06188778134292881,0.1076073087041021,0.008864910546576042},{0.010683282058148539,0.05287745448726799,0.05552001954189399,0.0826523562034396,0.008864910546576038,-0.004572065051999498}}; -this->tensor[0][2] = {{-0.004299860872440003,-0.014934231932670483,0.007425212993753032,-0.05017025257242397,-0.053317311963866305,0.0005520047582211402},{-0.014934231932670494,0.2725897363195608,0.031564382502816735,-0.04463594349087408,-0.0007520420814635319,0.06374169442773976},{0.007425212993753026,0.03156438250281674,0.0751790765054947,-0.009668452826934983,-0.04766781137538918,0.06606257072765098},{-0.05017025257242397,-0.04463594349087408,-0.009668452826934982,0.06623695798109347,0.05198943174117557,-0.0410296812042403},{-0.053317311963866305,-0.0007520420814635307,-0.04766781137538917,0.051989431741175575,0.013705172896359046,-0.05471477527744301},{0.0005520047582211385,0.06374169442773975,0.06606257072765098,-0.04102968120424028,-0.054714775277443006,0.22922171563729357}}; -this->tensor[0][3] = {{0.080818563441216,0.007214386062940939,0.01578960420924272,0.009859940158102924,0.033959311714609544,-0.005355736238282191},{0.007214386062940936,0.023665198887018273,0.033709390621868694,0.0061797166692081976,0.0057067091838218596,0.0045734740602569246},{0.01578960420924272,0.033709390621868694,0.18414448395447763,-0.022424801930307072,0.03252583216809479,0.0066607493474291615},{0.009859940158102931,0.006179716669208203,-0.022424801930307076,0.048427027940516815,-0.005264866968780834,0.03643014377414966},{0.033959311714609544,0.005706709183821858,0.032525832168094786,-0.005264866968780833,0.1594966326852088,-0.034221780912920184},{-0.0053557362382821916,0.004573474060256926,0.0066607493474291615,0.03643014377414966,-0.0342217809129202,0.1735397732095855}}; -this->tensor[0][4] = {{0.13107521708978023,-0.001528787514257669,0.06276057333180778,-0.01107963911152592,0.04011042942393265,0.00394981335148702},{-0.0015287875142576735,0.012431106672519973,0.018633859988554862,-0.01220842242869551,-0.01328722067898529,-0.008097943319365725},{0.06276057333180779,0.018633859988554866,0.06868093518494592,-0.02117945452206208,0.03216059938304278,-0.015322576046134169},{-0.011079639111525916,-0.012208422428695506,-0.021179454522062078,0.06508959269646399,-0.0020629360878178927,0.0043800604803744415},{0.04011042942393266,-0.0132872206789853,0.03216059938304275,-0.0020629360878178884,0.2606345306988688,-0.047420761912186984},{0.003949813351487016,-0.00809794331936572,-0.015322576046134165,0.0043800604803744285,-0.04742076191218697,0.08195286858985108}}; -this->tensor[0][5] = {{-0.0029717576426849094,0.009912597934964625,-0.008433903707999743,-0.06952929652811411,-0.03092391610563919,0.005550410881061039},{0.009912597934964634,0.21166271987650026,0.0002926644638301276,-0.0761605076890257,0.009937922571143598,-0.027355915357007606},{-0.008433903707999745,0.0002926644638301106,0.15044205531327579,0.010919185943801701,-0.021698936292977273,-0.04739604677998048},{-0.0695292965281141,-0.07616050768902569,0.010919185943801705,0.08852596783951719,-0.019335470411757413,-0.0027138791933424213},{-0.03092391610563919,0.009937922571143596,-0.021698936292977283,-0.019335470411757417,0.00762898332793277,-0.037500838084745684},{0.00555041088106104,-0.027355915357007602,-0.047396046779980466,-0.0027138791933424226,-0.0375008380847457,0.1491715894999189}}; -this->tensor[0][6] = {{0.18087680055985902,0.019984680976436592,0.026952863236538466,0.021553493091889055,-0.1101107994774455,-0.013545157379795834},{0.019984680976436596,-0.0011238528057039877,0.0030521706662990813,0.023207357739352657,-0.006448036963995739,-0.006620915636607233},{0.02695286323653847,0.003052170666299079,-0.005259629982441797,-0.0003872841614342891,-0.09441233879282925,-0.003850193120647917},{0.021553493091889055,0.023207357739352657,-0.00038728416143429215,0.13804414580572213,-0.028590225628924302,-0.09199620612686073},{-0.1101107994774455,-0.0064480369639957355,-0.09441233879282925,-0.0285902256289243,0.15355406870557128,0.016883880762882858},{-0.013545157379795834,-0.006620915636607238,-0.0038501931206479235,-0.09199620612686071,0.016883880762882855,-0.008636953065907184}}; -this->tensor[0][7] = {{0.04979215200545102,0.03871225139326682,0.034780218837646974,0.04997160775209936,0.024833072996045077,0.006557966155115912},{0.038712251393266804,0.35822412316879065,0.007782105709532206,0.035872348111885874,-0.01101988385725486,-0.009716012286779272},{0.03478021883764699,0.007782105709532213,-0.061834674927596624,0.003391456069313296,0.02246881369724761,-0.017395718286089337},{0.049971607752099335,0.03587234811188583,0.0033914560693132875,0.2953920409016672,0.0012000834566474093,-0.00133155240648642},{0.02483307299604508,-0.011019883857254862,0.022468813697247597,0.0012000834566474013,0.051977514317110445,0.03985122366941724},{0.006557966155115917,-0.009716012286779275,-0.01739571828608935,-0.0013315524064864204,0.03985122366941725,0.15433343141377862}}; -this->tensor[0][8] = 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{{0.04304528479863023,-0.04368537099141989,0.0006400861927896598,-0.011219481584695375,0.007497823542339717,-0.02057459194727249},{-0.04368537099141989,0.11667691798736443,-0.07299154699594453,-0.011984441592801766,-0.018446401976354186,0.00933417483212334},{0.000640086192789656,-0.07299154699594453,0.07235146080315487,0.023203923177497136,0.010948578434014472,0.01124041711514916},{-0.01121948158469537,-0.01198444159280177,0.023203923177497133,0.0934689352891388,0.038923037849133736,0.010964212982935529},{0.007497823542339721,-0.018446401976354183,0.010948578434014465,0.03892303784913376,0.0595441214346396,-0.006754151297469882},{-0.0205745919472725,0.009334174832123373,0.011240417115149136,0.010964212982935526,-0.006754151297469886,0.17907553402056756}}; +this->tensor[9][6] = {{0.12849614631921766,-0.0760267361826887,-0.05246941013652895,0.020296542437544033,0.0004484704021903587,-0.0056337745415533024},{-0.0760267361826887,0.041483411392431106,0.03454332479025758,0.012272458472578034,0.0017768052533846134,0.004134588345258765},{-0.05246941013652895,0.034543324790257575,0.017926085346271357,-0.032569000910122055,-0.0022252756555749716,0.001499186196294539},{0.020296542437544023,0.012272458472578037,-0.03256900091012205,0.11664460260406848,0.004150774919371337,0.006505145016946191},{0.0004484704021903627,0.001776805253384614,-0.0022252756555749763,0.004150774919371334,0.11335246409926755,0.04064804588239335},{-0.005633774541553308,0.004134588345258766,0.001499186196294543,0.006505145016946189,0.040648045882393354,0.009054897508025125}}; +this->tensor[9][7] = {{0.14477275781522647,-0.0805497994343822,-0.06422295838084424,-0.07187864138376002,0.014190876726951436,-0.0008513522654605203},{-0.08054979943438222,0.08073777899127195,-0.00018797955688974684,-0.07094593262950444,-0.028062157986750578,-0.0023137010549125745},{-0.06422295838084424,-0.00018797955688974041,0.06441093793773398,0.1428245740132644,0.013871281259799152,0.003165053320373094},{-0.07187864138376003,-0.07094593262950441,0.1428245740132644,0.233076142536312,-0.009327027263834015,0.03587654772881745},{0.014190876726951452,-0.02806215798675058,0.013871281259799143,-0.009327027263834008,0.1614860769630608,-0.1663603012216648},{-0.0008513522654605214,-0.002313701054912577,0.0031650533203730975,0.03587654772881745,-0.1663603012216648,0.10687525351028729}}; +this->tensor[9][8] = {{0.048197874908423276,-0.03907882999395107,-0.009119044914472208,0.021124401711589174,0.010094769968107918,0.05320694406782698},{-0.03907882999395108,0.11437088118190665,-0.07529205118795558,0.024236999940971594,-0.00984561276892281,-0.024202109878502256},{-0.009119044914472204,-0.07529205118795558,0.0844110961024278,-0.04536140165256075,-0.0002491571991851076,-0.029004834189324733},{0.021124401711589177,0.0242369999409716,-0.045361401652560765,0.1122758843361766,-0.04214794558143977,-0.005281237492450739},{0.010094769968107913,-0.009845612768922814,-0.00024915719918509833,-0.042147945581439784,0.1252574321035712,0.06570950152525161},{0.05320694406782699,-0.024202109878502284,-0.02900483418932472,-0.005281237492450755,0.06570950152525161,0.1537610241775734}}; +this->tensor[9][9] = {{0.6125098447657712,-0.2845945213497104,-0.3279153234160605,0.0058773514869984115,0.020815118983102426,0.032242366092288484},{-0.28459452134971036,0.597506358385731,-0.3129118370360203,0.009523395478661333,-0.047806609134624645,-0.015596680279014853},{-0.3279153234160605,-0.3129118370360203,0.6408271604520811,-0.015400746965659743,0.026991490151522232,-0.016645685813273647},{0.0058773514869983855,0.009523395478661368,-0.01540074696565975,0.9311968255836134,-0.05551798140678483,0.05094286308469998},{0.020815118983102416,-0.047806609134624645,0.026991490151522246,-0.05551798140678483,0.9515426324351965,-0.004413168166014},{0.032242366092288484,-0.015596680279014877,-0.016645685813273622,0.05094286308469999,-0.004413168166014002,0.93720081733192}}; +}}; + +template struct Gamma{ +static const std::array,10>,10>& get_tensor(){ +static Gamma Gamma_; +return Gamma_.tensor;} +std::array,10>,10> tensor; +private: +Gamma(){ +this->tensor[0][0] = {{0.26421658870254666,-0.014791750279982058,-0.014070424184452182,-0.024587973442701725,0.018196070196703225,-0.0012982834178405722},{-0.01479175027998206,0.2528314806734857,-0.014101738708901398,-0.026361048064225727,-5.970805178808224e-05,0.023002973579562557},{-0.014070424184452182,-0.014101738708901398,0.2653350866272367,0.0005098524653366541,0.019389013251685776,0.021013279344744795},{-0.024587973442701718,-0.026361048064225727,0.0005098524653366539,0.2766114367218398,0.018301393927047414,0.017605191669716636},{0.01819607019670323,-5.970805178808269e-05,0.01938901325168576,0.01830139392704742,0.28687071027910804,-0.0230562120398611},{-0.001298283417840573,0.023002973579562564,0.021013279344744795,0.01760519166971663,-0.023056212039861104,0.27919713286119147}}; +this->tensor[0][1] = {{-0.0620271235493209,0.002209685384227346,0.006992821454510288,0.001152484196274659,-0.025114091434387538,0.00027867799122898975},{0.0022096853842273464,-0.0019897882957640245,0.004705721624235655,0.0024542816299525354,0.0009972617911226866,-0.017360767315254384},{0.006992821454510287,0.004705721624235656,-0.047177442820274106,-0.0010573938579017856,-0.026554568088807518,-0.017649797868105263},{0.0011524841962746583,0.002454281629952532,-0.0010573938579017856,-0.02751329456346748,-0.015978658443241953,-0.022476384815457003},{-0.025114091434387534,0.0009972617911226868,-0.02655456808880751,-0.015978658443241953,-0.04488336805905352,-0.00029359526356803606},{0.00027867799122899045,-0.017360767315254384,-0.017649797868105256,-0.022476384815457003,-0.00029359526356803996,-0.0109574107707489}}; +this->tensor[0][2] = {{0.01175527657698454,0.004475992515084525,-9.69302880027457e-05,0.015644628906104116,0.015722694300839397,0.0015238152597699837},{0.004475992515084525,-0.07706289441887454,0.0009211837533800304,0.015039313850310015,-0.0011541345604388694,-0.01964527406963307},{-9.693028800274575e-05,0.0009211837533800304,-0.021433367273559923,-0.00021217016342831854,0.0151047801739754,-0.019899119914936304},{0.015644628906104116,0.015039313850310015,-0.0002121701634283177,-0.02806893453406208,-0.015768072487044416,0.012355953834429148},{0.0157226943008394,-0.001154134560438869,0.015104780173975403,-0.01576807248704442,-0.0031770439120824634,0.014064477434198624},{0.0015238152597699844,-0.01964527406963307,-0.019899119914936297,0.012355953834429147,0.01406447743419862,-0.0596741871323028}}; +this->tensor[0][3] = {{-0.019797977170881838,0.0007146960630374346,0.0018312633881750454,-0.0004576529586678317,-0.010732952100253152,0.0006572235993014263},{0.0007146960630374354,-0.0059180766174602075,-0.0006055102072873932,-5.512851457004361e-05,0.00025316023070300184,-0.0010717433112548587},{0.0018312633881750454,-0.0006055102072873933,-0.05634220737994188,0.0023751154616119354,-0.01057616527485346,-0.0013000390457893936},{-0.0004576529586678283,-5.5128514570042586e-05,0.0023751154616119354,-0.013944546861511498,0.00012120377808188703,-0.009567850755739914},{-0.010732952100253155,0.00025316023070300135,-0.010576165274853454,0.00012120377808188963,-0.04458312116946762,0.004236833159355484},{0.0006572235993014258,-0.0010717433112548559,-0.001300039045789396,-0.009567850755739914,0.0042368331593554825,-0.04182791705508593}}; +this->tensor[0][4] = {{-0.043191898052452125,0.002361017194459817,-0.003205745666291233,0.00553506625610064,-0.01012161511957544,-0.0006686339986836053},{0.002361017194459817,0.0014346839223125026,-0.00035750404424051265,0.005658526931416076,0.0021701068744304623,0.00277869785747359},{-0.0032057456662912343,-0.00035750404424051313,-0.02815581677983071,0.0017760989973157949,-0.009252102458852898,0.003568892061964044},{0.005535066256100646,0.005658526931416076,0.0017760989973157962,-0.02234358524558217,0.0017314942252142941,-0.005040865286175045},{-0.010121615119575439,0.0021701068744304614,-0.009252102458852903,0.0017314942252142946,-0.05691528667568073,0.008625754819319674},{-0.0006686339986836054,0.002778697857473589,0.003568892061964042,-0.005040865286175045,0.008625754819319672,-0.019568921033701996}}; +this->tensor[0][5] = {{0.008940664923410687,0.001104252838450529,0.0021439393663383243,0.02070746580655921,0.007532227057281396,-0.0014480672644068108},{0.001104252838450529,-0.057966295495170655,0.0039039281250396263,0.0214327545272837,-0.0016057007478721263,0.009719981836498953},{0.0021439393663383248,0.003903928125039626,-0.03579889187958639,-0.0028321233374528527,0.0065232448902708745,0.011911871210886814},{0.020707465806559206,0.0214327545272837,-0.0028321233374528527,-0.024970999258751913,0.007466851500221528,0.003598074651589754},{0.007532227057281393,-0.0016057007478721263,0.00652324489027088,0.007466851500221525,-0.007420232773996043,0.01452478739365137},{-0.0014480672644068104,0.00971998183649895,0.01191187121088681,0.0035980746515897563,0.01452478739365137,-0.04733156969651167}}; +this->tensor[0][6] = {{-0.05778004407645793,0.000478433507150887,-0.00024928983799299523,-0.006671510066490097,0.032554455173955325,0.0011896372429995904},{0.00047843350715088737,0.002162650206251311,-0.0001374248894262029,-0.006852401512306648,-0.0018586317672015836,0.0030590774110784607},{-0.00024928983799299485,-0.00013742488942620278,0.002064255402080546,0.0005816213001024268,0.03083743603657486,0.0027560296358952684},{-0.0066715100664900984,-0.006852401512306644,0.0005816213001024264,-0.03574129404124509,0.004984469248632827,0.026378554427958553},{0.032554455173955325,-0.0018586317672015839,0.030837436036574864,0.00498446924863283,-0.03774748616440925,-0.005278517415996272},{0.0011896372429995902,0.003059077411078463,0.0027560296358952654,0.026378554427958553,-0.005278517415996273,0.0025126165535726227}}; +this->tensor[0][7] = {{-0.017739986477269976,0.0014956083435816113,-0.0032269919403768704,-0.014141309646957024,-0.006243534301335067,-0.0009670628796815398},{0.0014956083435816113,-0.10619798349677129,0.0031461298188555204,-0.012599203123808418,0.0016462269146862165,0.0030609714955925696},{-0.0032269919403768712,0.0031461298188555204,0.022188609060682683,0.0007135176235527092,-0.005984943440529526,0.0039009393392670675},{-0.01414130964695703,-0.012599203123808425,0.0007135176235527096,-0.07769386025177336,0.0014583649874126327,-0.0026604044505836753},{-0.006243534301335063,0.0016462269146862165,-0.00598494344052953,0.0014583649874126319,-0.004696399304022543,-0.011260176874782},{-0.0009670628796815395,0.0030609714955925666,0.003900939339267071,-0.002660404450583675,-0.011260176874782,-0.04667340595907236}}; +this->tensor[0][8] = {{-0.09253714074713415,0.0033769057762886275,0.007113602149175585,0.010187480048912689,-0.013569360318381896,-0.0019701813275604437},{0.0033769057762886266,0.00022376492096490692,-0.0015812045149677816,0.00932711117402017,0.0007715366649981193,0.025853395638608164},{0.007113602149175587,-0.0015812045149677806,-0.00528950509608344,-0.0016603654643154123,-0.01123651327373551,0.026205969531870526},{0.010187480048912689,0.009327111174020174,-0.0016603654643154132,-0.04659763287367662,0.02082601055251625,-0.010238777466150777},{-0.0135693603183819,0.0007715366649981194,-0.011236513273735508,0.02082601055251625,-0.04030862255734367,0.0060684513797050945},{-0.0019701813275604437,0.02585339563860816,0.026205969531870533,-0.010238777466150777,0.006068451379705094,-0.0016541698829952943}}; +this->tensor[0][9] = {{0.008161639870574135,-0.0014248413422979468,0.002767755558916863,-0.007368679099135301,-0.008223893454845616,0.002702874794873178},{-0.0014248413422979463,-0.007517541398973116,0.0041064190433124865,-0.008044206898070743,-0.0011601173486397926,-0.029397313122672967},{0.0027677555589168635,0.004106419043312488,-0.09539071986073751,-0.0001941530248210212,-0.008250181815728034,-0.030508024295797336},{-0.007368679099135301,-0.00804420689807074,-0.0001941530248210211,0.00026271090822722805,-0.023143057288835964,-0.009953491809587848},{-0.008223893454845616,-0.001160117348639793,-0.008250181815728029,-0.023143057288835957,-0.047139149663038275,-0.007631802592023494},{0.002702874794873178,-0.02939731312267296,-0.030508024295797336,-0.009953491809587848,-0.007631802592023495,-0.05402216788435145}}; +this->tensor[1][0] = {{-0.0398333607927807,0.0014190436394890917,0.004490738309596997,0.0007401168419756479,-0.016128084100070536,0.00017896494846808},{0.0014190436394890921,-0.001277827352793508,0.003021979684412155,0.001576121542621867,0.0006404341594054154,-0.011148956594096569},{0.004490738309596997,0.003021979684412155,-0.030297005464821468,-0.00067905052873172,-0.017053147572398192,-0.011334569881205528},{0.0007401168419756497,0.0015761215426218628,-0.00067905052873172,-0.01766883463607949,-0.010261376480696992,-0.014434168383765449},{-0.016128084100070536,0.0006404341594054159,-0.017053147572398182,-0.010261376480696988,-0.02882376759047924,-0.00018854471062890952},{0.00017896494846808013,-0.011148956594096574,-0.011334569881205528,-0.014434168383765452,-0.00018854471062890686,-0.007036768297643117}}; +this->tensor[1][1] = {{0.25163493785204344,-0.012272722735002323,-0.016627684517043908,-0.020958001357927563,-0.027489897060335524,0.0009537900131685227},{-0.012272722735002317,0.24730977678354782,-0.013379610120816813,-0.020635793541785116,0.001245649920539689,-0.018741665396070924},{-0.016627684517043908,-0.013379610120816813,0.2522374223707176,0.0006362407846065351,-0.026300889909824886,-0.01613800587685214},{-0.020958001357927566,-0.02063579354178512,0.0006362407846065356,0.27171587088181526,-0.014643951025388749,-0.023008400139179853},{-0.027489897060335524,0.0012456499205396882,-0.026300889909824893,-0.014643951025388747,0.2633877365211621,-0.018407795823880118},{0.0009537900131685225,-0.018741665396070934,-0.016138005876852143,-0.023008400139179853,-0.018407795823880118,0.26916582753208124}}; +this->tensor[1][2] = {{-0.01556777239190457,0.0017150758302513136,0.0034766717188620196,0.020240304434994565,0.010526602713559421,0.002328649552072842},{0.0017150758302513138,-0.045666909295366154,-0.003087625099940926,0.019961429224613646,0.00022855992944939007,-0.02877026903289683},{0.0034766717188620204,-0.003087625099940926,-0.019114056365597848,-0.0017400483999819173,0.010397989921670094,-0.029813385530949376},{0.02024030443499458,0.019961429224613643,-0.0017400483999819168,-0.03484683727806358,-0.02322565590111721,0.01029492430001526},{0.010526602713559425,0.0002285599294493901,0.010397989921670094,-0.02322565590111721,-0.012447346288587792,0.01567021226218964},{0.0023286495520728418,-0.028770269032896846,-0.029813385530949376,0.01029492430001526,0.01567021226218964,-0.0500182290743728}}; +this->tensor[1][3] = 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{{-0.013824904936954681,0.004170041417760909,0.0030663802945070915,-0.005062554220617812,0.00030674732554392294,0.001601434825577996},{0.004170041417760911,-0.0676335941193671,0.0035275965133323636,-0.004146733102853347,-0.0020674637560973196,-0.009128641492363128},{0.0030663802945070924,0.0035275965133323628,-0.03898940586411631,0.0012484921573034603,-0.0033856465330496977,-0.011375087704655078},{-0.005062554220617814,-0.004146733102853342,0.00124849215730346,-0.0360095434397831,-0.006645856170430553,-0.00534985405026183},{0.00030674732554392196,-0.00206746375609732,-0.003385646533049695,-0.006645856170430549,-0.019856514264961996,-0.001987120289047834},{0.001601434825577997,-0.009128641492363128,-0.011375087704655076,-0.00534985405026183,-0.0019871202890478354,-0.05449906380303983}}; +this->tensor[8][8] = {{0.3045973763284519,-0.010448757235817563,-0.01723179341598134,-0.0016550889703302474,-0.003450927831394486,0.0015061894844176213},{-0.010448757235817563,0.17899135911581432,-0.013463442263998374,-0.004107604731504261,-0.0010533760212392222,-0.01780687469680412},{-0.017231793415981342,-0.013463442263998374,0.26891497628608724,0.0011457878407752306,-0.004174625413669162,-0.016219961765241184},{-0.0016550889703302414,-0.004107604731504264,0.0011457878407752308,0.26709980905677905,-0.013200306407935722,-0.005580985147275875},{-0.003450927831394489,-0.0010533760212392226,-0.0041746254136691705,-0.013200306407935725,0.30896079068989274,-0.000556041590943175},{0.0015061894844176208,-0.01780687469680412,-0.01621996176524119,-0.005580985147275871,-0.0005560415909431723,0.2352723822867201}}; +this->tensor[8][9] = {{-0.009948140695333499,0.002417220965833778,-0.0023711675626896687,-0.017612833707532943,-0.003455042437279941,-0.0030744852913623414},{0.002417220965833777,-0.04846427240345363,0.004449548896955075,-0.018430617032642812,0.0017839608959103117,0.017263453904297704},{-0.0023711675626896687,0.004449548896955075,-0.03442674637068474,-0.0001447966077367524,-0.0007373479164475594,0.018525289697753862},{-0.017612833707532943,-0.018430617032642812,-0.0001447966077367522,-0.029498617956900272,0.011073670465623605,0.0013875571593184937},{-0.0034550424372799425,0.0017839608959103114,-0.0007373479164475611,0.011073670465623601,-0.032909303344452225,-0.017264076725757097},{-0.003074485291362341,0.017263453904297708,0.018525289697753865,0.0013875571593184957,-0.017264076725757097,-0.0403981472574759}}; +this->tensor[9][0] = {{0.005211961544116713,-0.0009098929137143579,0.0017674677840906767,-0.004705582787853378,-0.005251716212584338,0.0017260354184739435},{-0.0009098929137143579,-0.004800645127581766,0.002622328168991769,-0.005136969735313139,-0.0007408421718743608,-0.01877290200565187},{0.0017674677840906771,0.0026223281689917695,-0.06091579283866808,-0.00012398465444294845,-0.005268503761182265,-0.01948219376720377},{-0.004705582787853377,-0.005136969735313133,-0.00012398465444294897,0.00016776520069684286,-0.014778981493361862,-0.006356224651407041},{-0.005251716212584341,-0.0007408421718743605,-0.005268503761182255,-0.014778981493361865,-0.030102704745881136,-0.004873611461995921},{0.0017260354184739435,-0.01877290200565187,-0.01948219376720377,-0.006356224651407042,-0.004873611461995921,-0.03449814816727925}}; +this->tensor[9][1] = {{-0.04310752698519186,0.000788618442059367,0.004771489998239083,-0.018915622244599355,0.027616626085086967,-0.00014867140260080668},{0.0007886184420593675,0.0031993586862681615,0.001753944473627372,-0.019653098085896423,-0.001266222333705241,0.008922648176190078},{0.004771489998239082,0.001753944473627372,-0.058097835268337956,-0.00010983969047727777,0.027673116010307402,0.009606018298480184},{-0.01891562224459936,-0.019653098085896423,-0.00010983969047727786,-0.019626427744506743,0.008454159655195111,0.02367622264739759},{0.027616626085086967,-0.001266222333705241,0.02767311601030741,0.008454159655195113,-0.04987023289776586,-0.0183885848315331},{-0.00014867140260080668,0.008922648176190082,0.009606018298480186,0.023676222647397594,-0.0183885848315331,-0.027045763849087946}}; +this->tensor[9][2] = {{-0.02355991735575628,0.0039290542712800405,-0.0003009694906309481,-0.014115710142210188,-0.013584188777761104,-0.0014149761928953163},{0.003929054271280041,-0.057625532632880214,0.0009596169532735413,-0.013791214169615896,-5.349688527085863e-05,0.01907984343981087},{-0.0003009694906309482,0.0009596169532735412,-0.004130446633733654,0.0031548638432024752,-0.015001682052530602,0.01946753161939891},{-0.014115710142210178,-0.013791214169615897,0.0031548638432024752,-0.040587687446395807,0.015503302170969346,-0.013576383434406312},{-0.013584188777761108,-5.349688527085861e-05,-0.015001682052530607,0.015503302170969348,-0.01620436014539267,-0.007206581969304526},{-0.0014149761928953163,0.019079843439810874,0.01946753161939891,-0.013576383434406309,-0.0072065819693045265,-0.035553206479731}}; +this->tensor[9][3] = {{-0.028636677852814107,0.003799817478864099,-0.00020114950509200988,0.01077635224456321,0.02813298602052816,0.0015664933130182367},{0.003799817478864101,-0.05409161748901064,0.0032435428335172546,0.012461429801710637,-0.0022819097354561065,-0.022634915080193482},{-0.00020114950509201064,0.003243542833517255,-0.009133488953188756,0.0016633720687276952,0.028402021512854075,-0.02184087161705083},{0.010776352244563213,0.012461429801710635,0.0016633720687276952,-0.04045787641271988,-0.018012278796636524,0.02234804787287023},{0.028132986020528175,-0.0022819097354561065,0.028402021512854068,-0.018012278796636517,-0.02115503601271906,0.014090879961593356},{0.0015664933130182365,-0.02263491508019348,-0.021840871617050846,0.022348047872870227,0.014090879961593352,-0.028939149533894662}}; +this->tensor[9][4] = {{-0.02385628989589028,-0.0016521095779120285,0.004057245869007407,0.0026328324602049582,-0.0021028330347417305,-7.98895090973753e-05},{-0.001652109577912029,-0.01690519437753795,0.0032195222793215106,0.0015176984697806838,0.00029558614784622184,-0.006704012763476815},{0.004057245869007407,0.0032195222793215106,-0.04280532880952383,-0.0017878482882156513,-0.0019216132869488538,-0.008135356600878801},{0.0026328324602049574,0.0015176984697806801,-0.0017878482882156517,-0.0278301760097727,-0.007145986907053751,-0.0013397796042139256},{-0.0021028330347417305,0.0002955861478462222,-0.0019216132869488507,-0.00714598690705375,-0.02987198443930989,-0.00141462001813468},{-7.988950909737533e-05,-0.006704012763476816,-0.008135356600878798,-0.0013397796042139253,-0.0014146200181346792,-0.02747185033290424}}; +this->tensor[9][5] = {{-0.0014713401610714075,0.003536656351228426,0.00011627506910792585,0.00630234906631101,-0.005149364801455177,-0.0008685190075289537},{0.003536656351228427,-0.05322858332868034,0.0018495159310787754,0.006493589068337607,0.0013366915782182982,-0.00834571070237791},{0.0001162750691079259,0.0018495159310787756,-0.026825253004764182,-0.0023035021242371174,-0.006012053524373866,-0.008822271273134365},{0.006302349066311008,0.006493589068337608,-0.0023035021242371174,-0.0233672338222847,-0.009730759462283434,-0.0027410532457338823},{-0.005149364801455177,0.001336691578218298,-0.006012053524373864,-0.00973075946228344,-0.0148860303586599,0.0016885378243674705},{-0.0008685190075289532,-0.00834571070237792,-0.008822271273134362,-0.0027410532457338814,0.0016885378243674716,-0.04476888350514189}}; +this->tensor[9][6] = {{-0.06334787265938091,0.005178037743896586,0.002439130644676401,-0.012738074333829359,-0.00046499596313505023,0.0003373416811108396},{0.0051780377438965875,-0.006804309372082451,-0.0019188633092193169,-0.01073205334258786,-0.0007970796759336139,-0.002104749040592177},{0.002439130644676401,-0.0019188633092193175,0.005385870964096991,0.00047831150308716246,0.00020344055130628235,-0.0014458985033511207},{-0.012738074333829355,-0.01073205334258786,0.00047831150308716165,-0.02916115065101712,-0.0010376937298428343,-0.0016262862542365478},{-0.00046499596313505083,-0.0007970796759336137,0.00020344055130628382,-0.0010376937298428334,-0.028338116024816888,-0.010162011470598337},{0.0003373416811108398,-0.0021047490405921784,-0.0014458985033511226,-0.0016262862542365472,-0.010162011470598338,-0.002263724377006281}}; +this->tensor[9][7] = {{-0.06675117386212435,0.000997014269070293,0.003430538235704945,0.050527044236857575,-0.010226557703158494,0.0009308195615036885},{0.0009970142690702924,-0.02790733151855076,-0.0011606576514911887,0.05029386704829369,0.0003367009752670085,0.001296406758866702},{0.003430538235704945,-0.0011606576514911887,-0.010795152795127971,-0.003148759612398522,-0.010146658836370424,-7.328183495471497e-05},{0.050527044236857575,0.050293867048293674,-0.0031487596123985226,-0.058269035634078,0.002331756815958504,-0.008969136932204363},{-0.0102265577031585,0.00033670097526700875,-0.010146658836370422,0.002331756815958502,-0.0403715192407652,0.0415900753054162},{0.0009308195615036882,0.001296406758866702,-7.328183495471646e-05,-0.008969136932204363,0.0415900753054162,-0.026718813377571822}}; +this->tensor[9][8] = {{-0.009466005286256796,0.0023000706505253085,-0.0022562492198719025,-0.01675922989907903,-0.0032875942326463306,-0.0029254807417638286},{0.0023000706505253085,-0.0461154574322506,0.004233902059687461,-0.017537379456424636,0.0016975014516113513,0.01642678274481848},{-0.0022562492198719033,0.004233902059687461,-0.03275825836343588,-0.0001377790580415511,-0.000701612440823074,0.017627463822524097},{-0.016759229899079034,-0.01753737945642464,-0.00013777905804155082,-0.02806897108404415,0.010536986395359943,0.0013203093731126848},{-0.00328759423264633,0.0016975014516113513,-0.0007016124408230775,0.010536986395359946,-0.0313143580258928,-0.016427375381312902},{-0.002925480741763829,0.01642678274481849,0.017627463822524097,0.0013203093731126887,-0.016427375381312902,-0.03844025604439335}}; +this->tensor[9][9] = {{0.25498484251437725,-0.017967266715297976,-0.013823779385231905,-0.0030043586003689377,-0.015682361380134697,0.0008768468797798391},{-0.017967266715297973,0.2642793125922961,-0.014802851738787561,-0.003915869598284668,0.0014730706492970685,0.012836608472605673},{-0.013823779385231903,-0.014802851738787558,0.2400756857026656,0.0023151660127956005,-0.01722645417223965,0.013098859856170372},{-0.003004358600368933,-0.0039158695982846785,0.0023151660127956005,0.26720079360409665,0.013879495351696207,-0.012735715771174995},{-0.015682361380134697,0.0014730706492970674,-0.017226454172239655,0.013879495351696207,0.26211434189120086,0.0011032920415035},{0.0008768468797798383,0.012836608472605678,0.013098859856170365,-0.012735715771174997,0.0011032920415035006,0.26569979566702}}; }}; #endif /* LIB_TFEL_MATERIAL_TENSORS_HXX */ diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref deleted file mode 100644 index f073287..0000000 --- a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_formulation.ref +++ /dev/null @@ -1,127 +0,0 @@ -# first column: time -# 2 column: 1th component of the strain (EXX) -# 3 column: 2th component of the strain (EYY) -# 4 column: 3th component of the strain (EZZ) -# 5 column: 4th component of the strain (EXY) -# 6 column: 5th component of the strain (EXZ) -# 7 column: 6th component of the strain (EYZ) -# 8 column: 1th component of the stress (SXX) -# 9 column: 2th component of the stress (SYY) -# 10 column: 3th component of the stress (SZZ) -# 11 column: 4th component of the stress (SXY) -# 12 column: 5th component of the stress (SXZ) -# 13 column: 6th component of the stress (SYZ) -# 14 column: first component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XX) -# 15 column: second component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YY) -# 16 column: third component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]ZZ) -# 17 column: fourth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XY) -# 18 column: fifth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]XZ) -# 19 column: sixth component of internal variable 'PhaseReferenceStress[0]' (PhaseReferenceStress[0]YZ) -# 20 column: first component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XX) -# 21 column: second component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YY) -# 22 column: third component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]ZZ) -# 23 column: fourth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XY) -# 24 column: fifth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]XZ) -# 25 column: sixth component of internal variable 'PhaseReferenceStress[1]' (PhaseReferenceStress[1]YZ) -# 26 column: first component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XX) -# 27 column: second component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YY) -# 28 column: third component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]ZZ) -# 29 column: fourth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XY) -# 30 column: fifth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]XZ) -# 31 column: sixth component of internal variable 'PhaseReferenceStress[2]' (PhaseReferenceStress[2]YZ) -# 32 column: first component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XX) -# 33 column: second component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YY) -# 34 column: third component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]ZZ) -# 35 column: fourth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XY) -# 36 column: fifth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]XZ) -# 37 column: sixth component of internal variable 'PhaseReferenceStress[3]' (PhaseReferenceStress[3]YZ) -# 38 column: first component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XX) -# 39 column: second component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YY) -# 40 column: third component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]ZZ) -# 41 column: fourth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XY) -# 42 column: fifth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]XZ) -# 43 column: sixth component of internal variable 'PhaseReferenceStress[4]' (PhaseReferenceStress[4]YZ) -# 44 column: first component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XX) -# 45 column: second component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YY) -# 46 column: third component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]ZZ) -# 47 column: fourth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XY) -# 48 column: fifth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]XZ) -# 49 column: sixth component of internal variable 'PhaseReferenceStress[5]' (PhaseReferenceStress[5]YZ) -# 50 column: first component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XX) -# 51 column: second component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YY) -# 52 column: third component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]ZZ) -# 53 column: fourth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XY) -# 54 column: fifth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]XZ) -# 55 column: sixth component of internal variable 'PhaseReferenceStress[6]' (PhaseReferenceStress[6]YZ) -# 56 column: first component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XX) -# 57 column: second component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YY) -# 58 column: third component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]ZZ) -# 59 column: fourth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XY) -# 60 column: fifth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]XZ) -# 61 column: sixth component of internal variable 'PhaseReferenceStress[7]' (PhaseReferenceStress[7]YZ) -# 62 column: first component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XX) -# 63 column: second component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YY) -# 64 column: third component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]ZZ) -# 65 column: fourth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XY) -# 66 column: fifth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]XZ) -# 67 column: sixth component of internal variable 'PhaseReferenceStress[8]' (PhaseReferenceStress[8]YZ) -# 68 column: first component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XX) -# 69 column: second component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YY) -# 70 column: third component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]ZZ) -# 71 column: fourth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XY) -# 72 column: fifth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]XZ) -# 73 column: sixth component of internal variable 'PhaseReferenceStress[9]' (PhaseReferenceStress[9]YZ) -# 74 column: ne -# 75 column: stored energy -# 76 column: disspated energy -0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.02 1 -1 0 0 0 0 20.830294608552 -20.31031493185 -0.51997967670069 -0.052954673313528 1.7820022097502 -1.3041704526418 3.7954919822433 -3.8945924608761 0.099100478633603 -0.0099741753306082 -0.25003790586702 -0.34082408408819 3.8948388486714 -3.7846904286728 -0.11014841999894 0.0010927791754216 -0.32033255815395 -0.22911202680175 3.9397620369035 -3.7281733334876 -0.21158870341536 0.013190162319149 -0.33118276617329 -0.0030450255556972 3.8954573727085 -3.7947772895301 -0.10068008317813 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1.6986920455271 -1.0363385672828 -0.52780218427108 -0.13066530111489 0.6158805484947 0.93555155128366 1.4579139288481 -0.83222754313157 -0.39777677803188 0.046748235983846 -0.049047371605045 0.97350326462398 1.6981542758493 -0.73291312121974 -0.19726720911074 -0.20594821908017 0.39167079148052 0.14004801277396 10.020858742577 0 0 diff --git a/generic-behaviours/homogenization/PonteCastaneda1992.mfront b/generic-behaviours/homogenization/PonteCastaneda1992.mfront index 2e0ad04..2a4594f 100644 --- a/generic-behaviours/homogenization/PonteCastaneda1992.mfront +++ b/generic-behaviours/homogenization/PonteCastaneda1992.mfront @@ -53,8 +53,9 @@ const auto po = std::pow(max(e_0+de_0,real(1e-10)),0.5*(n_-1)); const auto mu0 = sig0/3.*po; //second moments///////////////////////////////// -const auto em2 = tfel::math::trace(eto+deto)/3.; +const auto em = tfel::math::trace(eto+deto)/3.; const auto ed = tfel::math::deviator(eto+deto); +const auto em2 = em*em; const auto eeq2 = 2./3.*(ed|ed); using namespace tfel::material; const auto kg0 = KGModuli(k_m,mu0); From f4e46224821d6ecd65f6c2a797e15d95a54f58af Mon Sep 17 00:00:00 2001 From: MARTIN Antoine Date: Fri, 6 Mar 2026 16:31:48 +0100 Subject: [PATCH 8/8] updated affine formulation --- .../Affine_tensors.mfront | 2 +- .../references/Affine_tensors.ref | 200 +++++++++--------- 2 files changed, 101 insertions(+), 101 deletions(-) diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront index a00d585..08aef4e 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront +++ b/generic-behaviours/homogenization/MassonAffineFormulation/Affine_tensors.mfront @@ -132,6 +132,7 @@ for (int r=0;r(A,6*r,0)=L[r]*Ar[r]; } diff --git a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref index b1ae577..e7b5b29 100644 --- a/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref +++ b/generic-behaviours/homogenization/MassonAffineFormulation/references/Affine_tensors.ref @@ -75,103 +75,103 @@ # 75 column: stored energy # 76 column: disspated energy 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.01 1 -1 1.1832913578315e-30 0 -7.7037197775489e-33 5.0074178554068e-33 0.98017231674088 -0.94571530733153 -0.034436586386326 -0.0029440694158484 -0.019721841541715 0.093554485227259 0.95692936663562 -0.97197305968392 -0.032044935209986 -0.04307238357539 -0.21523183113987 -0.11406983899499 0.84314718958429 -1.0855721751924 -0.26209675472995 -0.037782757914169 -0.22335058827101 -0.0028243011328261 1.067858549614 -0.96041824682669 -0.041155153385183 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