diff --git a/generic-behaviours/homogenization/BetaRule.mfront b/generic-behaviours/homogenization/BetaRule.mfront new file mode 100644 index 0000000..90eef87 --- /dev/null +++ b/generic-behaviours/homogenization/BetaRule.mfront @@ -0,0 +1,163 @@ +@DSL ImplicitII; +@Behaviour BetaRule; +@Author Antoine Martin; + +@Algorithm NewtonRaphson; +@Epsilon 1.e-14; +@Theta 1; + +@ModellingHypothesis Tridimensional; +@PhysicalBounds T in [0. : *[; + +//parameters of beta-rule +@Parameter real c = 50e3; +@Parameter real DD = 1e2; +@Parameter stress sig_0=1e4; + +@MaterialProperty real f; +f.setEntryName("FirstPhaseFraction"); + + +@StateVariable Stensor Sig; +Sig.setEntryName("MacroscopicStress"); +@StateVariable Stensor eto1; +eto1.setEntryName("FirstPhaseTotalStrain"); +@StateVariable Stensor eto2; +eto2.setEntryName("SecondPhaseTotalStrain"); +@StateVariable Stensor beta1; +beta1.setEntryName("FirstPhaseBetaStrain"); +@StateVariable Stensor beta2; +beta2.setEntryName("SecondPhaseBetaStrain"); +@AuxiliaryStateVariable Stensor evp1; +evp1.setEntryName("FirstPhaseViscoPlasticStrain"); +@AuxiliaryStateVariable Stensor evp2; +evp2.setEntryName("SecondPhaseViscoplasticStrain"); + + +@BehaviourVariable b1 { +file: "MericCailletaud.mfront", +variables_suffix: "1", +store_gradients: false, +external_names_prefix: "FirstPhase", +shared_external_state_variables: {".+"} +}; + +@BehaviourVariable b2 { +file: "MericCailletaud.mfront", +variables_suffix: "2", +store_gradients: false, +external_names_prefix: "SecondPhase", +shared_external_state_variables: {".+"} +}; + +@LocalVariable Stensor4 S1; +@LocalVariable Stensor4 S2; +@LocalVariable Stensor devp1; +@LocalVariable Stensor devp2; + +@InitLocalVariables { + auto lambda1 = computeLambda(E_1,nu_1); + auto mu1 = computeMu(E_1,nu_1); + auto kap1= lambda1+real(2)/3*mu1; + auto J=st2tost2<3u,real>::J(); + auto K=st2tost2<3u,real>::K(); + S1=stress(1)/(3*kap1)*J+stress(1)/(2*mu1)*K; + + auto lambda2 = computeLambda(E_2,nu_2); + auto mu2 = computeMu(E_2,nu_2); + auto kap2= lambda2+real(2)/3*mu2; + S2=stress(1)/(3*kap2)*J+stress(1)/(2*mu2)*K; +} + +@Integrator { + constexpr const auto eeps = strain(1.e-14); + auto Id=Stensor4::Id(); + + const auto i1=initialize(b1); + if ((i1 != 0) && (i1 != 1)) { + return false; + } + b1.eto=eto1; + b1.deto=deto1; + constexpr auto b1_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r1 = b1.integrate(b1_smflag,CONSISTENTTANGENTOPERATOR); + if ((r1 != 0) && (r1 != 1)) { + return false; + } + StiffnessTensor Dt1 = b1.getTangentOperator(); + + auto dsig1=b1.sig-sig1; + auto deel1=b1.eel-eel1; + devp1=deto1-deel1; + auto ndevp_1=sqrt(real(2)/3*devp1|devp1); + auto beta_mts_1=beta1+theta*dbeta1; + + const auto i2=initialize(b2); + if ((i2 != 0) && (i2 != 1)) { + return false; + } + b2.eto=eto2; + b2.deto=deto2; + constexpr auto b2_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r2 = b2.integrate(b2_smflag,CONSISTENTTANGENTOPERATOR); + if ((r2 != 0) && (r2 != 1)) { + return false; + } + StiffnessTensor Dt2 = b2.getTangentOperator(); + + auto dsig2=b2.sig-sig2; + auto deel2=b2.eel-eel2; + devp2=deto2-deel2; + real ndevp_2=sqrt(real(2)/3*devp2|devp2); + Stensor beta_mts_2=beta2+theta*dbeta2; + + //residues + auto dB=(1-f)*dbeta1+f*dbeta2; + fSig = -deto+ (1-f)*deto1+f*deto2; + feto1 = (dsig1-dSig-c*(dB-dbeta1))/sig_0; + feto2 = (dsig2-dSig-c*(dB-dbeta2))/sig_0; + fbeta1 = dbeta1-devp1+DD*ndevp_1*beta_mts_1; + fbeta2 = dbeta2-devp2+DD*ndevp_2*beta_mts_2; + + + //jacobian matrix + auto Null = Stensor4{real{}}; + dfSig_ddSig=Null; + dfSig_ddeto1 = (1-f)*Id; + dfSig_ddeto2 = f*Id; + + dfeto1_ddSig = -Id/sig_0; + dfeto2_ddSig = -Id/sig_0; + + dfeto1_ddeto1 = Dt1/sig_0; + dfeto2_ddeto2 = Dt2/sig_0; + + dfeto1_ddbeta1 = c/sig_0*f*Id; + dfeto1_ddbeta2 = -c/sig_0*f*Id; + dfeto2_ddbeta1 = c/sig_0*(f-1)*Id; + dfeto2_ddbeta2 = c/sig_0*(1-f)*Id; + + + dfbeta1_ddeto1 = -(Id-S1*Dt1) + 2*DD/3*Stensor4(beta_mts_1^devp1)*Stensor4(Id-S1*Dt1)/max(ndevp_1,eeps); + dfbeta2_ddeto2 = -(Id-S2*Dt2) + 2*DD/3*Stensor4(beta_mts_2^devp2)*Stensor4(Id-S2*Dt2)/max(ndevp_2,eeps); + + dfbeta1_ddbeta1 =Id+ theta*DD*ndevp_1*Id; + dfbeta2_ddbeta2 =Id+ theta*DD*ndevp_2*Id; +} + +@UpdateAuxiliaryStateVariables{ +evp1+=devp1; +evp2+=devp2; +} + +@ComputeFinalStress{ +sig += dSig; +} + +@TangentOperator{ +if (smt){ + Stensor4 iJs; + getPartialJacobianInvert(iJs); + Dt=iJs; + } +} diff --git a/generic-behaviours/homogenization/BetaRule.mtest b/generic-behaviours/homogenization/BetaRule.mtest new file mode 100644 index 0000000..c34eeb3 --- /dev/null +++ b/generic-behaviours/homogenization/BetaRule.mtest @@ -0,0 +1,32 @@ +@ModellingHypothesis 'Tridimensional'; +@Behaviour<@interface@> @library@ @behaviour@; +//@Behaviour 'src/libBehaviour.so' 'BetaRule'; +@MaterialProperty 'FirstPhaseFraction' 0.5; +@MaterialProperty 'FirstPhaseE_' 208000; +@MaterialProperty 'FirstPhasenu_' 0.3; +@MaterialProperty 'FirstPhasemu_' 80000; +@MaterialProperty 'SecondPhaseE_' 104000; +@MaterialProperty 'SecondPhasenu_' 0.3; +@MaterialProperty 'SecondPhasemu_' 40000; +@MaterialProperty 'FirstPhasetau0' 36.; +@MaterialProperty 'SecondPhasetau0' 25.; +@MaterialProperty 'FirstPhasen' 10.; +@MaterialProperty 'SecondPhasen' 5.; +@ExternalStateVariable 'Temperature' 293.15; +@ImposedStrain 'EXX' {0 : 0, 5 :1e-2}; +@ImposedStress 'SYY' {0 : 0, 1 : 0}; +@ImposedStress 'SZZ' {0 : 0, 1 : 0}; +@ImposedStress 'SXY' {0 : 0, 1 : 0}; +@ImposedStress 'SXZ' {0 : 0, 1 : 0}; +@ImposedStress 'SYZ' {0 : 0, 1 : 0}; +@Times {0, 3 in 400}; + +//@OutputFilePrecision 14; + +@Test @reference_file@ 'EXX' 2 1.e-14; +@Test @reference_file@ 'SXX' 8 1e-3; +@Test @reference_file@ 'SYY' 9 1e-3; +@Test @reference_file@ 'SZZ' 10 1e-3; +@Test @reference_file@ 'SXY' 11 1e-3; +@Test @reference_file@ 'SXZ' 12 1e-3; +@Test @reference_file@ 'SYZ' 13 1e-3; diff --git a/generic-behaviours/homogenization/CMakeLists.txt b/generic-behaviours/homogenization/CMakeLists.txt index 594fe49..6f91a87 100644 --- a/generic-behaviours/homogenization/CMakeLists.txt +++ b/generic-behaviours/homogenization/CMakeLists.txt @@ -1,7 +1,27 @@ mfront_behaviours_library(Homogenization PonteCastaneda1992 + Taylor + Sachs + BetaRule + Idiart_viscoelastic ) genericmtest(Homogenization PonteCastaneda1992 BEHAVIOUR PonteCastaneda1992 REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/PonteCastaneda1992.ref) + +genericmtest(Homogenization Taylor + BEHAVIOUR Taylor + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Taylor.ref) + +genericmtest(Homogenization Sachs + BEHAVIOUR Sachs + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Sachs.ref) + +genericmtest(Homogenization BetaRule + BEHAVIOUR BetaRule + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/BetaRule.ref) + +genericmtest(Homogenization Idiart_viscoelastic + BEHAVIOUR Idiart_viscoelastic + REFERENCE_FILE ${CMAKE_CURRENT_SOURCE_DIR}/references/Idiart_viscoelastic.ref) diff --git a/generic-behaviours/homogenization/Idiart_viscoelastic.mfront b/generic-behaviours/homogenization/Idiart_viscoelastic.mfront new file mode 100644 index 0000000..68fea21 --- /dev/null +++ b/generic-behaviours/homogenization/Idiart_viscoelastic.mfront @@ -0,0 +1,113 @@ +@DSL Default; +@Behaviour Idiart_viscoelastic; +@Author Martin Antoine; +@Date 06 / 05 / 25; +@UseQt false; + +@TFELLibraries {"Material"}; +@Includes{ +#include "TFEL/Material/IsotropicEshelbyTensor.hxx" +#include "TFEL/Material/StiffnessTensor.hxx" +#include "TFEL/Material/IsotropicModuli.hxx"} + +@MaterialProperty real ka0; +ka0.setEntryName("ka0"); +@MaterialProperty real mu0; +mu0.setEntryName("mu0"); +@MaterialProperty real kav0; +kav0.setEntryName("kav0"); +@MaterialProperty real muv0; +muv0.setEntryName("muv0"); +@MaterialProperty real kar; +kar.setEntryName("kar"); +@MaterialProperty real mur; +mur.setEntryName("mur"); +@MaterialProperty real kavr; +kavr.setEntryName("kavr"); +@MaterialProperty real muvr; +muvr.setEntryName("muvr"); +@MaterialProperty real tau0; +tau0.setEntryName("tau0"); +@MaterialProperty real fr; +fr.setEntryName("fr"); +@MaterialProperty real e; +e.setEntryName("e"); + +@ModellingHypothesis Tridimensional; +@PhysicalBounds T in [0. : *[; + +@StateVariable Stensor alpha_; +alpha_.setEntryName("MacroscopicViscousStrain"); +@StateVariable Stensor alpha_s_r; +alpha_s_r.setEntryName("InclusionSolenoidalViscousStrain"); + +@LocalVariable Stensor4 C0; +@LocalVariable Stensor4 M0; +@LocalVariable Stensor4 C_; +@LocalVariable Stensor4 M_; +@LocalVariable Stensor4 Cs; +@LocalVariable Stensor4 Ms; +@LocalVariable Stensor4 P0v; +@LocalVariable Stensor4 P0e; +@LocalVariable Stensor4 D0; +@LocalVariable Stensor4 I; +@LocalVariable tfel::math::tmatrix<12,12,real> mat; +@LocalVariable tfel::math::tmatrix<12,1,real> f_; + +@InitLocalVariables{ +I=tfel::math::st2tost2<3u,real>::Id(); +const auto J=tfel::math::st2tost2<3u,real>::J(); +const auto K=tfel::math::st2tost2<3u,real>::K(); +C0=3*ka0*J+2*mu0*K; +M0=3*kav0*J+2*muv0*K; +const auto Cr=3*kar*J+2*mur*K; +const auto Mr=3*kavr*J+2*muvr*K; +const auto f0=1-fr; +const auto invdC=invert(Cr-C0); +const auto invdM=invert(Mr-M0); + +using namespace tfel::material::homogenization::elasticity; +const auto kg0=KGModuli(ka0,mu0); +const auto kgv0=KGModuli(kav0,muv0); +tfel::math::tvector<3u,real> n={1.,0.,0.}; +P0e=computeAxisymmetricalHillPolarisationTensor(kg0,n,e); +P0v=computeAxisymmetricalHillPolarisationTensor(kgv0,n,e); + +C_=C0+fr*invert(invdC+P0e-fr*P0e); +M_=M0+fr*invert(invdM+P0v-fr*P0v); +Cs=fr/f0*invert(invert(C0)-P0e); +D0=M0-tau0*C0; +Ms=tau0*Cs+fr/f0*(D0-D0*P0v*D0); +} + +@Integrator { +//jacobian +tfel::math::map_derivative<0,0,Stensor,Stensor>(mat) =(M_/dt+C_); +tfel::math::map_derivative<6,0,Stensor,Stensor>(mat)=((M0+D0*P0v*(M_-M0))/dt+C0); +tfel::math::map_derivative<0,6,Stensor,Stensor>(mat)=((M_-M0)*(I-P0v*D0)/dt+C_-C0); +tfel::math::map_derivative<6,6,Stensor,Stensor>(mat)=-((Ms-D0*P0v*(M_-M0)*(I-P0v*D0))/dt+Cs); + +tfel::math::map_derivative<0,0,Stensor,real>(f_)=C_*(eto+deto)-C_*(alpha_)-(C_-C0)*(alpha_s_r); +tfel::math::map_derivative<6,0,Stensor,real>(f_)=-(C0*alpha_-Cs*alpha_s_r-C0*(eto+deto)); + +TinyMatrixInvert<12,real>::exe(mat); +tfel::math::tmatrix<12,1,real> dv=mat*f_; + +dalpha_=tfel::math::map_derivative<0,0,Stensor,real>(dv); +dalpha_s_r=tfel::math::map_derivative<6,0,Stensor,real>(dv); + +sig+=C_*(deto-dalpha_-dalpha_s_r)+C0*dalpha_s_r; +} + +@TangentOperator{ +if (smt){ +Stensor4 iJ_alpha__alpha_=tfel::math::map_derivative<0,0,Stensor,Stensor>(mat); +Stensor4 iJ_alpha__alpha_s_r=tfel::math::map_derivative<0,6,Stensor,Stensor>(mat); +Stensor4 iJ_alpha_s_r_alpha_=tfel::math::map_derivative<6,0,Stensor,Stensor>(mat); +Stensor4 iJ_alpha_s_r_alpha_s_r=tfel::math::map_derivative<6,6,Stensor,Stensor>(mat); + +const auto dalpha_deto=(iJ_alpha__alpha_*C_+iJ_alpha__alpha_s_r*C0); +const auto dalphar_deto=(iJ_alpha_s_r_alpha_*C_+iJ_alpha_s_r_alpha_s_r*C0); +Dt=C_-C_*(dalpha_deto+dalphar_deto)+C0*dalphar_deto; +} +} diff --git a/generic-behaviours/homogenization/Idiart_viscoelastic.mtest b/generic-behaviours/homogenization/Idiart_viscoelastic.mtest new file mode 100644 index 0000000..5f92bb9 --- /dev/null +++ b/generic-behaviours/homogenization/Idiart_viscoelastic.mtest @@ -0,0 +1,30 @@ +@ModellingHypothesis 'Tridimensional'; + +@Behaviour<@interface@> @library@ @behaviour@; + +@ExternalStateVariable 'Temperature' {0 : 1000,1:1000}; +@MaterialProperty 'ka0' 2.e9; +@MaterialProperty 'mu0' 1.e9; +@MaterialProperty 'kav0' 0.4e9; +@MaterialProperty 'muv0' 0.2e9; +@MaterialProperty 'kar' 20.e9; +@MaterialProperty 'mur' 10.e9; +@MaterialProperty 'kavr' 4e6; +@MaterialProperty 'muvr' 2e6; +@MaterialProperty 'tau0' 0.2; +@MaterialProperty 'fr' 0.06557; +@MaterialProperty 'e' 10.; +@ImposedStrain 'EXX' {0 : 0, 6 : 6e-1}; +@ImposedStrain 'EYY' {0 : 0, 6 : 0}; +@ImposedStrain 'EZZ' {0 : 0, 6 : 0}; +@ImposedStrain 'EXY' {0 : 0, 6 : 0}; +@ImposedStrain 'EXZ' {0 : 0, 6 : 0}; +@ImposedStrain 'EYZ' {0 : 0, 6 : 0}; +@Times {0,5 in 200}; + +@Test @reference_file@ 'EXX' 2 1.e-14; +@Test @reference_file@ 'EYY' 3 1e-14; +@Test @reference_file@ 'EZZ' 4 1e-14; +@Test @reference_file@ 'EXY' 5 1e-14; +@Test @reference_file@ 'EXZ' 6 1e-14; +@Test @reference_file@ 'EYZ' 7 1e-14; diff --git a/generic-behaviours/homogenization/MericCailletaud.mfront b/generic-behaviours/homogenization/MericCailletaud.mfront new file mode 100644 index 0000000..96e4479 --- /dev/null +++ b/generic-behaviours/homogenization/MericCailletaud.mfront @@ -0,0 +1,105 @@ +@DSL Implicit; +@Behaviour MericCailletaud; +@Author Thomas Helfer; +@Date 17 / 10 / 2019; +@Description { +} + +@ModellingHypothesis Tridimensional; +@OrthotropicBehaviour; + +@Algorithm NewtonRaphson; +@Epsilon 1.e-14; +@Theta 1; + +@MaterialProperty stress tau0; +@MaterialProperty real n; +@MaterialProperty stress E_; +@MaterialProperty real nu_; +@MaterialProperty stress mu_; + +@Brick StandardElasticity{ + young_modulus1 : E_, + young_modulus2 : E_, + young_modulus3 : E_, + poisson_ratio12 : nu_, + poisson_ratio23 : nu_, + poisson_ratio13 : nu_, + shear_modulus12 : mu_, + shear_modulus23 : mu_, + shear_modulus13 : mu_ +}; + +@CrystalStructure FCC; +@SlidingSystem<0, 1, -1>{1, 1, 1}; +@InteractionMatrix{1, 1, 0.6, 1.8, 1.6, 12.3, 1.6}; + +@Parameter K = 25.; +@Parameter Q = 11.43; +@Parameter b = 2.1; +@Parameter d = 494.0; +@Parameter C = 14363; + +@IntegrationVariable strain g[Nss]; +g.setEntryName("ViscoplasticSlip"); + +@AuxiliaryStateVariable strain p[Nss]; +p.setEntryName("EquivalentViscoplasticSlip"); + +@AuxiliaryStateVariable strain a[Nss]; +a.setEntryName("BackStrain"); + +@Integrator { + using size_type = unsigned short; + const auto& ss = MericCailletaudSlipSystems::getSlipSystems(); + const auto& m = ss.him; + constexpr const auto eeps = 1.e-12; + const auto seps = eeps * D(0, 0); + real exp_bp[Nss]; + for (size_type i = 0; i != Nss; ++i) { + const auto p_ = p[i] + theta * abs(dg[i]); + exp_bp[i] = exp(-b * p_); + } + for (size_type i = 0; i != Nss; ++i) { + const auto tau = sig | ss.mus[i]; + auto r = tau0; + for (size_type j = 0; j != Nss; ++j) { + r += Q * m(i, j) * (1 - exp_bp[j]); + } + const auto da = // + (dg[i] - d * a[i] * abs(dg[i])) / (1 + theta * d * abs(dg[i])); + const auto x = C * (a[i] + theta * da); + const auto f = max(abs(tau - x) - r, stress(0)); + if (f > 1.1 * K) { + return false; + } + const auto sgn = tau - x > 0 ? 1 : -1; + // elasticity + feel += dg[i] * ss.mus[i]; + dfeel_ddg(i) = ss.mus[i]; + // viscoplasticity + const auto v = pow(f / K, n); + const auto dv = n * v / (max(f, seps)); + fg[i] -= dt * pow(f / K, n) * sgn; + dfg_ddeel(i) = -dt * dv * theta * (ss.mus[i] | D); + const auto sgn_gi = dg(i) > 0 ? 1 : -1; + const auto dda_ddg = + (1 - d * a[i] * sgn_gi) / (power<2>(1 + theta * d * abs(dg[i]))); + dfg_ddg(i, i) += dt * dv * C * theta * dda_ddg; + for (size_type j = 0; j != Nss; ++j) { + const auto sgn_gj = dg(j) > 0 ? 1 : -1; + const auto dr = Q * m(i, j) * theta * b * exp_bp[j] * sgn_gj; + dfg_ddg(i, j) += dt * dv * dr * sgn; + } + } +} + +@UpdateAuxiliaryStateVariables { + using size_type = unsigned short; + for (size_type i = 0; i != Nss; ++i) { + p[i] += abs(dg[i]); + const auto da = // + (dg[i] - d * a[i] * abs(dg[i])) / (1 + theta * d * abs(dg[i])); + a[i] += da; + } +} diff --git a/generic-behaviours/homogenization/Plasticity.mfront b/generic-behaviours/homogenization/Plasticity.mfront new file mode 100644 index 0000000..475be5c --- /dev/null +++ b/generic-behaviours/homogenization/Plasticity.mfront @@ -0,0 +1,15 @@ +@DSL IsotropicPlasticMisesFlow; +@Behaviour Plasticity; +@Author Helfer Thomas; +@Date 23 / 11 / 06; +@Epsilon 1e-14; +@UseQt true; + +@MaterialProperty stress H; +@MaterialProperty stress s0; + +@FlowRule { + f = seq - H * p - s0; + df_dseq = 1; + df_dp = -H; +} diff --git a/generic-behaviours/homogenization/PonteCastaneda1992.mfront b/generic-behaviours/homogenization/PonteCastaneda1992.mfront index 19d8084..2e0ad04 100644 --- a/generic-behaviours/homogenization/PonteCastaneda1992.mfront +++ b/generic-behaviours/homogenization/PonteCastaneda1992.mfront @@ -82,5 +82,7 @@ sig = Chom*(eto+deto); @TangentOperator{ +if (smt){ Dt=Chom; } +} diff --git a/generic-behaviours/homogenization/PonteCastaneda1992.mtest b/generic-behaviours/homogenization/PonteCastaneda1992.mtest index bf2444a..4442cbb 100644 --- a/generic-behaviours/homogenization/PonteCastaneda1992.mtest +++ b/generic-behaviours/homogenization/PonteCastaneda1992.mtest @@ -18,6 +18,8 @@ @ImposedStrain 'EYZ' {0 : 0, 100 : 0}; @Times {0.,10 in 300}; +@OutputFilePrecision 14; + @Test @reference_file@ 'EXX' 2 1.e-14; @Test @reference_file@ 'EYY' 3 1.e-14; @Test @reference_file@ 'SXX' 8 1e-3; diff --git a/generic-behaviours/homogenization/Sachs.mfront b/generic-behaviours/homogenization/Sachs.mfront new file mode 100644 index 0000000..037cd15 --- /dev/null +++ b/generic-behaviours/homogenization/Sachs.mfront @@ -0,0 +1,101 @@ +@DSL Implicit; +@Behaviour Sachs; +@Author Thomas Helfer / Antoine Martin; + +@Algorithm NewtonRaphson; +@Epsilon 1.e-14; +@Theta 1; + +@ModellingHypothesis Tridimensional; +@PhysicalBounds T in [0. : *[; + +@Includes{ +#include "MFront/GenericBehaviour/BehaviourData.hxx" +} + +@BehaviourVariable b1 { +file: "Plasticity.mfront", +variables_suffix: "1", +store_gradients: false, +external_names_prefix: "FirstPhase", +shared_external_state_variables: {".+"} +}; + +@BehaviourVariable b2 { +file: "Plasticity.mfront", +variables_suffix: "2", +external_names_prefix: "SecondPhase", +shared_external_state_variables: {".+"} +}; + +@MaterialProperty real f; +f.setEntryName("PhaseFraction"); + +@StateVariable StrainStensor eto1; +eto1.setEntryName("FirstPhaseTotalStrain"); + +@LocalVariable StrainStensor A; +@LocalVariable StiffnessTensor Dt1; +@LocalVariable StiffnessTensor Dt2; +@LocalVariable StiffnessTensor iDt1; +@LocalVariable StiffnessTensor iDt2; + + + +@Integrator { + // integrating the first phase + const auto i1=initialize(b1); + if ((i1 != 0) && (i1 != 1)) { + return false; + } + b1.eto=eto1; + b1.deto=deto1; + + Dt1 = StiffnessTensor{}; + constexpr auto b1_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r1 = b1.integrate(b1_smflag,CONSISTENTTANGENTOPERATOR); + if ((r1 != 0) && (r1 != 1)) { + return false; + } + + Dt1 = b1.getTangentOperator(); + iDt1= invert(Dt1); + + // integrating the second phase + const auto i2=initialize(b2); + if ((i2 != 0) && (i2 != 1)) { + return false; + } + Dt2 = StiffnessTensor{}; + constexpr auto b2_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r2 = b2.integrate(b2_smflag,CONSISTENTTANGENTOPERATOR); + if ((r2 != 0) && (r2 != 1)) { + return false; + } + + Dt2 = b2.getTangentOperator(); + iDt2= invert(Dt2); + + A=iDt2*(b1.sig-b2.sig); + auto rE=deto-f*deto1-(1-f)*b2.deto; + feto1=rE-(1-f)*A; + auto Id=st2tost2<3u,real>::Id(); + dfeto1_ddeto1 = (-f*Id-(1-f)*iDt2*Dt1); +} + + +@ProcessNewCorrection { + // static decondensation + b2.deto += A+iDt2*Dt1*delta_deto1; + } + +@ComputeFinalStress{ +sig = b1.sig; +} + +@TangentOperator{ +if (smt){ + Dt = invert(f*iDt1+(1-f)*iDt2); + } +} + diff --git a/generic-behaviours/homogenization/Sachs.mtest b/generic-behaviours/homogenization/Sachs.mtest new file mode 100644 index 0000000..d91d598 --- /dev/null +++ b/generic-behaviours/homogenization/Sachs.mtest @@ -0,0 +1,31 @@ +@ModellingHypothesis 'Tridimensional'; +@Behaviour<@interface@> @library@ @behaviour@; +//@Behaviour 'src/libBehaviour.so' 'Sachs'; + +@MaterialProperty 'FirstPhaseYoungModulus' 60.e9; +@MaterialProperty 'FirstPhasePoissonRatio' 0.3; +@MaterialProperty 'FirstPhaseH' 4.e9; +@MaterialProperty 'FirstPhases0' 60.e6; +@MaterialProperty 'SecondPhaseYoungModulus' 50.e9; +@MaterialProperty 'SecondPhasePoissonRatio' 0.3; +@MaterialProperty 'SecondPhaseH' 2.e9; +@MaterialProperty 'SecondPhases0' 50.e6; +@MaterialProperty 'PhaseFraction' 0.5; +@ExternalStateVariable 'Temperature' 293.15; +@ImposedStrain 'EXX' {0 : 0, 1 : 5e-3}; +@ImposedStress 'SYY' {0 : 0, 1 : 0}; +@ImposedStress 'SZZ' {0 : 0, 1 : 0}; +@ImposedStress 'SXY' {0 : 0, 1 : 0}; +@ImposedStress 'SXZ' {0 : 0, 1 : 0}; +@ImposedStress 'SYZ' {0 : 0, 1 : 0}; +@Times {0.,1 in 200}; + +//@OutputFilePrecision 14; + +@Test @reference_file@ 'EXX' 2 1.e-14; +@Test @reference_file@ 'SXX' 8 1e-3; +@Test @reference_file@ 'SYY' 9 1e-3; +@Test @reference_file@ 'SZZ' 10 1e-3; +@Test @reference_file@ 'SXY' 11 1e-3; +@Test @reference_file@ 'SXZ' 12 1e-3; +@Test @reference_file@ 'SYZ' 13 1e-3; diff --git a/generic-behaviours/homogenization/Taylor.mfront b/generic-behaviours/homogenization/Taylor.mfront new file mode 100644 index 0000000..bad5035 --- /dev/null +++ b/generic-behaviours/homogenization/Taylor.mfront @@ -0,0 +1,61 @@ +@DSL Default; +@Behaviour Taylor; +@Author Thomas Helfer / Antoine Martin; + + +@ModellingHypothesis Tridimensional; +@PhysicalBounds T in [0. : *[; + +@BehaviourVariable b1 { +file: "Plasticity.mfront", +variables_suffix: "1", +external_names_prefix: "FirstPhase", +shared_external_state_variables: {".+"} +}; + +@BehaviourVariable b2 { +file: "Plasticity.mfront", +variables_suffix: "2", +external_names_prefix: "SecondPhase", +shared_external_state_variables: {".+"} +}; + +@MaterialProperty real f; +f.setEntryName("FirstPhaseFraction"); + +@LocalVariable StiffnessTensor Dt1; +@LocalVariable StiffnessTensor Dt2; + +@Integrator{ + // integrating the first phase + b1.deto=deto; + + constexpr auto b1_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r1 = b1.integrate(b1_smflag,CONSISTENTTANGENTOPERATOR); + if ((r1 != 0) && (r1 != 1)) { + return false; + } + Dt1 = b1.getTangentOperator(); + + // integrating the second phase + b2.deto=deto; + constexpr auto b2_smflag = TangentOperatorTraits::STANDARDTANGENTOPERATOR; + const auto r2 = b2.integrate(b2_smflag,CONSISTENTTANGENTOPERATOR); + if ((r2 != 0) && (r2 != 1)) { + return false; + } + Dt2 = b2.getTangentOperator(); + + // mise à jour des variables internes + updateAuxiliaryStateVariables(b1); + updateAuxiliaryStateVariables(b2); + + + sig = f * sig1 + (1 - f) * sig2; +} + +@TangentOperator{ +if (smt){ +Dt = f * Dt1 + (1 - f) * Dt2; +} +} diff --git a/generic-behaviours/homogenization/Taylor.mtest b/generic-behaviours/homogenization/Taylor.mtest new file mode 100644 index 0000000..01c9792 --- /dev/null +++ b/generic-behaviours/homogenization/Taylor.mtest @@ -0,0 +1,30 @@ +@ModellingHypothesis 'Tridimensional'; +@Behaviour<@interface@> @library@ @behaviour@; +//@Behaviour 'src/libBehaviour.so' 'Taylor'; +@MaterialProperty 'FirstPhaseYoungModulus' 150.e9; +@MaterialProperty 'FirstPhasePoissonRatio' 0.35; +@MaterialProperty 'FirstPhaseH' 50.e9; +@MaterialProperty 'FirstPhases0' 200.e6; +@MaterialProperty 'SecondPhaseYoungModulus' 90.e9; +@MaterialProperty 'SecondPhasePoissonRatio' 0.3; +@MaterialProperty 'SecondPhaseH' 30.e9; +@MaterialProperty 'SecondPhases0' 50.e6; +@MaterialProperty 'FirstPhaseFraction' 0.1; +@ExternalStateVariable 'Temperature' 293.15; +@ImposedStrain 'EXX' {0 : 0, 1 : 3e-3}; +@ImposedStress 'SYY' {0 : 0, 1 : 0}; +@ImposedStress 'SZZ' {0 : 0, 1 : 0}; +@ImposedStress 'SXY' {0 : 0, 1 : 0}; +@ImposedStress 'SXZ' {0 : 0, 1 : 0}; +@ImposedStress 'SYZ' {0 : 0, 1 : 0}; +@Times {0, 1 in 200}; + +//@OutputFilePrecision 14; + +@Test @reference_file@ 'EXX' 2 1.e-14; +@Test @reference_file@ 'SXX' 8 1e-3; +@Test @reference_file@ 'SYY' 9 1e-3; +@Test @reference_file@ 'SZZ' 10 1e-3; +@Test @reference_file@ 'SXY' 11 1e-3; +@Test @reference_file@ 'SXZ' 12 1e-3; +@Test @reference_file@ 'SYZ' 13 1e-3; diff --git a/generic-behaviours/homogenization/references/BetaRule.ref b/generic-behaviours/homogenization/references/BetaRule.ref new file mode 100644 index 0000000..2f2c3cf --- /dev/null +++ b/generic-behaviours/homogenization/references/BetaRule.ref @@ -0,0 +1,530 @@ +# 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 'MacroscopicStress' (MacroscopicStressXX) +# 15 column: second component of internal variable 'MacroscopicStress' (MacroscopicStressYY) +# 16 column: third component of internal variable 'MacroscopicStress' (MacroscopicStressZZ) +# 17 column: fourth component of internal variable 'MacroscopicStress' (MacroscopicStressXY) +# 18 column: fifth component of internal variable 'MacroscopicStress' (MacroscopicStressXZ) +# 19 column: sixth component of internal variable 'MacroscopicStress' (MacroscopicStressYZ) +# 20 column: first component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXX) +# 21 column: second component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainYY) +# 22 column: third component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainZZ) +# 23 column: fourth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXY) +# 24 column: fifth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXZ) +# 25 column: sixth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainYZ) +# 26 column: first component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainXX) +# 27 column: second component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainYY) +# 28 column: third component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainZZ) +# 29 column: fourth component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainXY) +# 30 column: fifth component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainXZ) +# 31 column: sixth component of internal variable 'SecondPhaseTotalStrain' (SecondPhaseTotalStrainYZ) +# 32 column: first component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainXX) +# 33 column: second component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainYY) +# 34 column: third component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainZZ) +# 35 column: fourth component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainXY) +# 36 column: fifth component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainXZ) +# 37 column: sixth component of internal variable 'FirstPhaseBetaStrain' (FirstPhaseBetaStrainYZ) +# 38 column: first component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainXX) +# 39 column: second component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainYY) +# 40 column: third component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainZZ) +# 41 column: fourth component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainXY) +# 42 column: fifth component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainXZ) +# 43 column: sixth component of internal variable 'SecondPhaseBetaStrain' (SecondPhaseBetaStrainYZ) +# 44 column: first component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainXX) +# 45 column: second component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainYY) +# 46 column: third component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainZZ) +# 47 column: fourth component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainXY) +# 48 column: fifth component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainXZ) +# 49 column: sixth component of internal variable 'FirstPhaseViscoPlasticStrain' (FirstPhaseViscoPlasticStrainYZ) +# 50 column: first component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainXX) +# 51 column: second component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainYY) +# 52 column: third component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainZZ) +# 53 column: fourth component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainXY) +# 54 column: fifth component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainXZ) +# 55 column: sixth component of internal variable 'SecondPhaseViscoplasticStrain' (SecondPhaseViscoplasticStrainYZ) +# 56 column: first component of internal variable 'FirstPhaseStress' (FirstPhaseStressXX) +# 57 column: second component of internal variable 'FirstPhaseStress' (FirstPhaseStressYY) +# 58 column: third component of internal variable 'FirstPhaseStress' (FirstPhaseStressZZ) +# 59 column: fourth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXY) +# 60 column: fifth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXZ) +# 61 column: sixth component of internal variable 'FirstPhaseStress' (FirstPhaseStressYZ) +# 62 column: first component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXX) +# 63 column: second component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYY) +# 64 column: third component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainZZ) +# 65 column: fourth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXY) +# 66 column: fifth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXZ) +# 67 column: sixth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYZ) +# 68 column: FirstPhaseEquivalentViscoplasticSlip[0] +# 69 column: FirstPhaseEquivalentViscoplasticSlip[1] +# 70 column: FirstPhaseEquivalentViscoplasticSlip[2] +# 71 column: FirstPhaseEquivalentViscoplasticSlip[3] +# 72 column: FirstPhaseEquivalentViscoplasticSlip[4] +# 73 column: FirstPhaseEquivalentViscoplasticSlip[5] +# 74 column: FirstPhaseEquivalentViscoplasticSlip[6] +# 75 column: FirstPhaseEquivalentViscoplasticSlip[7] +# 76 column: FirstPhaseEquivalentViscoplasticSlip[8] +# 77 column: FirstPhaseEquivalentViscoplasticSlip[9] +# 78 column: FirstPhaseEquivalentViscoplasticSlip[10] +# 79 column: FirstPhaseEquivalentViscoplasticSlip[11] +# 80 column: FirstPhaseBackStrain[0] +# 81 column: FirstPhaseBackStrain[1] +# 82 column: FirstPhaseBackStrain[2] +# 83 column: FirstPhaseBackStrain[3] +# 84 column: FirstPhaseBackStrain[4] +# 85 column: FirstPhaseBackStrain[5] +# 86 column: FirstPhaseBackStrain[6] +# 87 column: FirstPhaseBackStrain[7] +# 88 column: FirstPhaseBackStrain[8] +# 89 column: FirstPhaseBackStrain[9] +# 90 column: FirstPhaseBackStrain[10] +# 91 column: FirstPhaseBackStrain[11] +# 92 column: first component of internal variable 'SecondPhaseStress' (SecondPhaseStressXX) +# 93 column: second component of internal variable 'SecondPhaseStress' (SecondPhaseStressYY) +# 94 column: third component of internal variable 'SecondPhaseStress' (SecondPhaseStressZZ) +# 95 column: fourth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXY) +# 96 column: fifth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXZ) +# 97 column: sixth component of internal variable 'SecondPhaseStress' (SecondPhaseStressYZ) +# 98 column: first component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXX) +# 99 column: second component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYY) +# 100 column: third component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainZZ) +# 101 column: fourth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXY) +# 102 column: fifth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXZ) +# 103 column: sixth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYZ) +# 104 column: SecondPhaseEquivalentViscoplasticSlip[0] +# 105 column: SecondPhaseEquivalentViscoplasticSlip[1] +# 106 column: SecondPhaseEquivalentViscoplasticSlip[2] +# 107 column: SecondPhaseEquivalentViscoplasticSlip[3] +# 108 column: SecondPhaseEquivalentViscoplasticSlip[4] +# 109 column: SecondPhaseEquivalentViscoplasticSlip[5] +# 110 column: SecondPhaseEquivalentViscoplasticSlip[6] +# 111 column: SecondPhaseEquivalentViscoplasticSlip[7] +# 112 column: SecondPhaseEquivalentViscoplasticSlip[8] +# 113 column: SecondPhaseEquivalentViscoplasticSlip[9] +# 114 column: SecondPhaseEquivalentViscoplasticSlip[10] +# 115 column: SecondPhaseEquivalentViscoplasticSlip[11] +# 116 column: SecondPhaseBackStrain[0] +# 117 column: SecondPhaseBackStrain[1] +# 118 column: SecondPhaseBackStrain[2] +# 119 column: SecondPhaseBackStrain[3] +# 120 column: SecondPhaseBackStrain[4] +# 121 column: SecondPhaseBackStrain[5] +# 122 column: SecondPhaseBackStrain[6] +# 123 column: SecondPhaseBackStrain[7] +# 124 column: SecondPhaseBackStrain[8] +# 125 column: SecondPhaseBackStrain[9] +# 126 column: SecondPhaseBackStrain[10] +# 127 column: SecondPhaseBackStrain[11] +# 128 column: stored energy +# 129 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 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 +0.0075 1.5e-05 -4.5e-06 -4.5e-06 0 0 0 2.08 2.5817339886696e-16 1.4097505297876e-16 0 0 0 2.08 2.5817339886696e-16 1.4097505297876e-16 0 0 0 1e-05 -3e-06 -3e-06 0 0 0 2e-05 -6e-06 -6e-06 0 0 0 -1.0134584477718e-22 6.7537227646679e-22 1.1481034806087e-21 0 0 0 -2.0269168955435e-22 1.3507445529336e-21 2.2962069612173e-21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.08 3.4242426255604e-16 1.6967763999398e-16 0 0 0 1e-05 -3e-06 -3e-06 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 2.08 9.3573551684933e-18 -5.236696493105e-17 0 0 0 2e-05 -6e-06 -6e-06 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 +0.015 3e-05 -9e-06 -9e-06 0 0 0 4.16 2.9430219280888e-16 1.7092780349501e-16 0 0 0 4.16 2.9430219280888e-16 1.7092780349501e-16 0 0 0 2e-05 -6e-06 -6e-06 0 0 0 4e-05 -1.2e-05 -1.2e-05 0 0 0 -2.0269168955435e-22 1.3507445529336e-21 2.2962069612173e-21 0 0 0 -4.053833791087e-22 2.7014891058672e-21 4.5924139224346e-21 0 0 0 0 0 0 0 0 0 -3.3881317890172e-21 0 0 0 0 0 4.16 4.6280392018705e-16 1.1731067506293e-16 0 0 0 2e-05 -6e-06 -6e-06 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 4.16 2.4075931526202e-16 1.1731067506293e-16 0 0 0 4e-05 -1.2e-05 -1.2e-05 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 +0.0225 4.5e-05 -1.35e-05 -1.35e-05 0 0 0 6.24 1.5920835866103e-16 -1.3601740760681e-17 0 0 0 6.24 1.5920835866103e-16 -1.3601740760681e-17 0 0 0 3e-05 -9e-06 -9e-06 0 0 0 6e-05 -1.8e-05 -1.8e-05 0 0 0 -3.0403753433153e-22 2.0261168294004e-21 3.444310441826e-21 0 0 0 -6.0807506866306e-22 4.0522336588008e-21 6.888620883652e-21 0 0 0 0 0 4.2351647362715e-22 0 0 0 -6.7762635780344e-21 8.470329472543e-22 8.470329472543e-22 0 0 0 6.24 3.0562782166177e-16 -4.6078592330634e-17 0 0 0 3e-05 -9e-06 -9e-06 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 6.24 -1.3846138818829e-16 -4.901678021807e-16 0 0 0 6e-05 -1.8e-05 -1.8e-05 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 +0.03 6e-05 -1.8e-05 -1.8e-05 0 0 0 8.32 1.445151757677e-16 -1.0223360286003e-16 0 0 0 8.32 1.445151757677e-16 -1.0223360286003e-16 0 0 0 4e-05 -1.2e-05 -1.2e-05 0 0 0 8e-05 -2.4e-05 -2.4e-05 0 0 0 -4.053833791087e-22 2.7014891058672e-21 4.5924139224346e-21 0 0 0 -8.1076675821741e-22 5.4029782117343e-21 9.1848278448693e-21 0 0 0 -3.3881317890172e-21 0 0 0 0 0 -1.0164395367052e-20 0 0 0 0 0 8.32 9.256078403741e-16 2.3462135012586e-16 0 0 0 4e-05 -1.2e-05 -1.2e-05 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 8.32 4.8151863052404e-16 2.3462135012586e-16 0 0 0 8e-05 -2.4e-05 -2.4e-05 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 +0.0375 7.5e-05 -2.25e-05 -2.25e-05 0 0 0 10.4 -1.1566848403067e-16 -4.861208215815e-16 0 0 0 10.4 -1.1566848403067e-16 -4.861208215815e-16 0 0 0 5e-05 -1.5e-05 -1.5e-05 0 0 0 0.0001 -3e-05 -3e-05 0 0 0 -5.0672922388588e-22 3.376861382334e-21 5.7405174030433e-21 0 0 0 -1.0134584477718e-21 6.7537227646679e-21 1.1481034806087e-20 0 0 0 -1.6940658945086e-21 4.2351647362715e-22 0 0 0 0 -6.7762635780344e-21 0 0 0 0 0 10.4 1.9456353195224e-16 -3.4260788650542e-16 0 0 0 5e-05 -1.5e-05 -1.5e-05 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 10.4 1.9456353195224e-16 -3.4260788650542e-16 0 0 0 0.0001 -3e-05 -3e-05 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 +0.045 9e-05 -2.7e-05 -2.7e-05 0 0 0 12.48 2.9028167094606e-16 -2.0387422552788e-16 0 0 0 12.48 2.9028167094606e-16 -2.0387422552788e-16 0 0 0 6e-05 -1.8e-05 -1.8e-05 0 0 0 0.00012 -3.6e-05 -3.6e-05 0 0 0 -6.0807506866306e-22 4.0522336588008e-21 6.8886208836519e-21 0 0 0 -1.2161501373261e-21 8.1044673176015e-21 1.3777241767304e-20 0 0 0 -1.6940658945086e-21 -8.470329472543e-22 0 0 0 0 -6.7762635780344e-21 0 0 0 0 0 12.48 1.0178314580056e-15 8.5651971626355e-16 0 0 0 6e-05 -1.8e-05 -1.8e-05 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 12.48 1.2965303830548e-16 -3.1658703436577e-17 0 0 0 0.00012 -3.6e-05 -3.6e-05 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 +0.0525 0.000105 -3.15e-05 -3.15e-05 0 0 0 14.56 -3.0689912911511e-16 -8.9299146085832e-16 0 0 0 14.56 -3.0689912911511e-16 -8.9299146085832e-16 0 0 0 7e-05 -2.1e-05 -2.1e-05 0 0 0 0.00014 -4.2e-05 -4.2e-05 0 0 0 -7.0942091344023e-22 4.7276059352675e-21 8.0367243642606e-21 0 0 0 -1.4188418268805e-21 9.4552118705351e-21 1.6073448728521e-20 0 0 0 0 -1.6940658945086e-21 -1.2705494208815e-21 0 0 0 -3.3881317890172e-21 -2.5410988417629e-21 -2.5410988417629e-21 0 0 0 14.56 7.6838975460181e-16 2.1879199840757e-16 0 0 0 7e-05 -2.1e-05 -2.1e-05 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 14.56 -1.1978866509832e-16 2.1879199840757e-16 0 0 0 0.00014 -4.2e-05 -4.2e-05 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 +0.06 0.00012 -3.6e-05 -3.6e-05 0 0 0 16.64 -4.7950635843096e-16 -4.6191101157675e-16 0 0 0 16.64 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0.0016757460296474 0 0.0016757460296474 0.0016757460296474 0 0.0016757460296474 0.0016757460296474 0 0.0016757460296474 0.0016757460296474 0 0.0011388399045606 0.0011388399045606 0 0.0011388399045606 0.0011388399045606 0 0.0011388399045606 0.0011388399045606 0 0.0011388399045606 0.0011388399045606 0 0 diff --git a/generic-behaviours/homogenization/references/Idiart_viscoelastic.ref b/generic-behaviours/homogenization/references/Idiart_viscoelastic.ref new file mode 100644 index 0000000..dc6f82e --- /dev/null +++ b/generic-behaviours/homogenization/references/Idiart_viscoelastic.ref @@ -0,0 +1,228 @@ +# 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 'MacroscopicViscousStrain' (MacroscopicViscousStrainXX) +# 15 column: second component of internal variable 'MacroscopicViscousStrain' (MacroscopicViscousStrainYY) +# 16 column: third component of internal variable 'MacroscopicViscousStrain' (MacroscopicViscousStrainZZ) +# 17 column: fourth component of internal variable 'MacroscopicViscousStrain' (MacroscopicViscousStrainXY) +# 18 column: fifth component of internal variable 'MacroscopicViscousStrain' (MacroscopicViscousStrainXZ) +# 19 column: sixth component of internal variable 'MacroscopicViscousStrain' (MacroscopicViscousStrainYZ) +# 20 column: first component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainXX) +# 21 column: second component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainYY) +# 22 column: third component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainZZ) +# 23 column: fourth component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainXY) +# 24 column: fifth component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainXZ) +# 25 column: sixth component of internal variable 'InclusionSolenoidalViscousStrain' (InclusionSolenoidalViscousStrainYZ) +# 26 column: stored energy +# 27 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 +0.025 0.0025 -2.407412430484e-35 -4.8148248609681e-35 0 0 0 6807820.9860923 2531834.4095992 2531834.4095992 0 0 0 0.00042726447258622 5.7825796070238e-05 5.7825796070237e-05 0 0 0 0.0020453038426577 -0.00014428600185277 -0.00014428600185277 0 0 0 0 0 +0.05 0.005 4.8148248609681e-35 -9.6296497219362e-35 0 0 0 12775791.595157 4691376.4366634 4691376.4366634 0 0 0 0.00108641339019 0.00012210506380317 0.00012210506380317 0 0 0 0.0038859432951066 -0.00022103989416058 -0.00022103989416058 0 0 0 0 0 +0.075 0.0075 9.6296497219362e-35 -3.6111186457261e-35 0 0 0 18073446.21131 6598884.3518043 6598884.3518043 0 0 0 0.0019501053473997 0.00018101367890621 0.0001810136789062 0 0 0 0.0055222619100585 -0.0002816188082146 -0.0002816188082146 0 0 0 0 0 +0.1 0.01 2.1666711874356e-34 2.407412430484e-35 0 0 0 22781557.54701 8292839.6292037 8292839.6292037 0 0 0 0.0029956075225024 0.00023361318707276 0.00023361318707276 0 0 0 0.0069767615774535 -0.00033444061666175 -0.00033444061666176 0 0 0 0 0 +0.125 0.0125 4.2882033917997e-35 1.4444474582904e-34 0 0 0 26966424.186133 9798363.8570196 9798363.8570196 0 0 0 0.004202720303187 0.00028039974386549 0.00028039974386549 0 0 0 0.0082696490467651 -0.00038125674436499 -0.000381256744365 0 0 0 0 0 +0.15 0.015 -2.6481536735324e-34 8.4259435066942e-35 0 0 0 30686289.525166 11136579.176718 11136579.176718 0 0 0 0.0055534871839599 0.00032199197624803 0.00032199197624803 0 0 0 0.0094188821993011 -0.00042285291017061 -0.00042285291017061 0 0 0 0 0 +0.175 0.0175 9.6296497219362e-35 3.2500067811535e-34 0 0 0 33992834.349309 12326100.12258 12326100.12258 0 0 0 0.0070319466288249 0.00035896340573797 0.00035896340573796 0 0 0 0.010440422758867 -0.00045982486286935 -0.00045982486286936 0 0 0 0 0 +0.2 0.02 1.1435209044799e-34 4.0926011318229e-34 0 0 0 36931985.018932 13383451.571289 13383451.571289 0 0 0 0.0086239105791893 0.00039182697260959 0.00039182697260959 0 0 0 0.011348458809092 -0.00049268849933617 -0.00049268849933618 0 0 0 0 0 +0.225 0.0225 -1.9259299443872e-34 -7.2222372914521e-35 0 0 0 39544563.353998 14323319.458767 14323319.458768 0 0 0 0.010316767423874 0.00042103904189312 0.00042103904189312 0 0 0 0.012155601964486 -0.00052190057787699 -0.000521900577877 0 0 0 0 0 +0.25 0.025 2.6481536735324e-34 1.203706215242e-34 0 0 0 41866855.202344 15158757.572068 15158757.572068 0 0 0 0.012099306841361 0.00044700532700986 0.00044700532700986 0 0 0 0.01287306254701 -0.00054786686422511 -0.0005478668642251 0 0 0 0 0 +0.275 0.0275 2.407412430484e-34 2.7685242950567e-34 0 0 0 43931114.622426 15901369.227151 15901369.227151 0 0 0 0.013961564101348 0.00047008646950999 0.00047008646950999 0 0 0 0.013510805287024 -0.00057094800688902 -0.00057094800688902 0 0 0 0 0 +0.3 0.03 2.407412430484e-34 6.0185310762101e-36 0 0 0 45766011.884631 16561468.475956 16561468.475956 0 0 0 0.01589468166578 0.00049060304064438 0.00049060304064438 0 0 0 0.014077687722592 -0.00059146457804519 -0.0005914645780452 0 0 0 0 0 +0.325 0.0325 2.407412430484e-35 -6.0185310762101e-36 0 0 0 47397031.673246 17148223.363762 17148223.363762 0 0 0 0.017890786167498 0.00050883999276692 0.00050883999276691 0 0 0 0.014581583220874 -0.00060970153017063 -0.00060970153017066 0 0 0 0 0 +0.35 0.035 8.4259435066942e-35 -5.7176045223996e-35 0 0 0 48846827.040902 17669783.264031 17669783.264031 0 0 0 0.019942879057914 0.00052505061687625 0.00052505061687625 0 0 0 0.015029490330459 -0.00062591215428035 -0.00062591215428035 0 0 0 0 0 +0.375 0.0375 2.8287096058188e-34 1.1435209044799e-34 0 0 0 50135534.034374 18133392.064269 18133392.064269 0 0 0 0.02204473940495 0.00053946006052905 0.00053946006052904 0 0 0 0.015427629983422 -0.00064032159793319 -0.00064032159793321 0 0 0 0 0 +0.4 0.04 -1.805559322863e-35 2.2569491535788e-35 0 0 0 51281051.361904 18545488.775593 18545488.775593 0 0 0 0.024190837491204 0.0005522684548871 0.00055226845488709 0 0 0 0.015781531897168 -0.00065312999229124 -0.00065312999229125 0 0 0 0 0 +0.425 0.0425 3.6412113011071e-34 -6.3345039577111e-34 0 0 0 52299288.986376 18911796.963435 18911796.963435 0 0 0 0.026376258012319 0.00056365369431647 0.00056365369431647 0 0 0 0.016096111376053 -0.00066451523172062 -0.00066451523172062 0 0 0 0 0 +0.45 0.045 -2.7083389842946e-35 1.8657446336251e-34 0 0 0 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-0.00075559714711094 0 0 0 0 0 +5 0.5 -7.1539543605929e-33 5.0260213322887e-33 0 0 0 60445189.978599 21842262.464902 21842262.464902 0 0 0 0.48135962218234 0.00065473560971181 0.00065473560971179 0 0 0 0.018612747206037 -0.00075559714711591 -0.00075559714711608 0 0 0 0 0 diff --git a/generic-behaviours/homogenization/references/Sachs.ref b/generic-behaviours/homogenization/references/Sachs.ref new file mode 100644 index 0000000..5e01c52 --- /dev/null +++ b/generic-behaviours/homogenization/references/Sachs.ref @@ -0,0 +1,260 @@ +# 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 'ElasticStrain' (ElasticStrainXX) +# 15 column: second component of internal variable 'ElasticStrain' (ElasticStrainYY) +# 16 column: third component of internal variable 'ElasticStrain' (ElasticStrainZZ) +# 17 column: fourth component of internal variable 'ElasticStrain' (ElasticStrainXY) +# 18 column: fifth component of internal variable 'ElasticStrain' (ElasticStrainXZ) +# 19 column: sixth component of internal variable 'ElasticStrain' (ElasticStrainYZ) +# 20 column: first component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXX) +# 21 column: second component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainYY) +# 22 column: third component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainZZ) +# 23 column: fourth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXY) +# 24 column: fifth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainXZ) +# 25 column: sixth component of internal variable 'FirstPhaseTotalStrain' (FirstPhaseTotalStrainYZ) +# 26 column: first component of internal variable 'FirstPhaseStress' (FirstPhaseStressXX) +# 27 column: second component of internal variable 'FirstPhaseStress' (FirstPhaseStressYY) +# 28 column: third component of internal variable 'FirstPhaseStress' (FirstPhaseStressZZ) +# 29 column: fourth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXY) +# 30 column: fifth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXZ) +# 31 column: sixth component of internal variable 'FirstPhaseStress' (FirstPhaseStressYZ) +# 32 column: first component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXX) +# 33 column: second component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYY) +# 34 column: third component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainZZ) +# 35 column: fourth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXY) +# 36 column: fifth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXZ) +# 37 column: sixth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYZ) +# 38 column: FirstPhaseEquivalentPlasticStrain +# 39 column: first component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXX) +# 40 column: second component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainYY) +# 41 column: third component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainZZ) +# 42 column: fourth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXY) +# 43 column: fifth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXZ) +# 44 column: sixth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainYZ) +# 45 column: first component of internal variable 'SecondPhaseStress' (SecondPhaseStressXX) +# 46 column: second component of internal variable 'SecondPhaseStress' (SecondPhaseStressYY) +# 47 column: third component of internal variable 'SecondPhaseStress' (SecondPhaseStressZZ) +# 48 column: fourth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXY) +# 49 column: fifth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXZ) +# 50 column: sixth component of internal variable 'SecondPhaseStress' (SecondPhaseStressYZ) +# 51 column: first component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXX) +# 52 column: second component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYY) +# 53 column: third component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainZZ) +# 54 column: fourth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXY) +# 55 column: fifth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXZ) +# 56 column: sixth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYZ) +# 57 column: SecondPhaseEquivalentPlasticStrain +# 58 column: stored energy +# 59 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 +0.005 2.5e-05 -7.5e-06 -7.5e-06 0 0 0 1363636.3636364 5.3347979180256e-11 1.3153563584988e-10 0 0 0 0 0 0 0 0 0 2.2727272727273e-05 -6.8181818181818e-06 -6.8181818181818e-06 0 0 0 1363636.3636364 5.3347979180256e-11 1.3153563584988e-10 0 0 0 2.2727272727273e-05 -6.8181818181818e-06 -6.8181818181818e-06 0 0 0 0 2.7272727272727e-05 -8.1818181818182e-06 -8.1818181818182e-06 0 0 0 1363636.3636364 6.288553581809e-11 1.2804191637611e-10 0 0 0 2.7272727272727e-05 -8.1818181818182e-06 -8.1818181818182e-06 0 0 0 0 0 0 +0.01 5e-05 -1.5e-05 -1.5e-05 0 0 0 2727272.7272727 2.6133894534475e-10 3.3952660201438e-10 0 0 0 0 0 0 0 0 0 4.5454545454545e-05 -1.3636363636364e-05 -1.3636363636364e-05 0 0 0 2727272.7272727 2.6133894534475e-10 3.3952660201438e-10 0 0 0 4.5454545454545e-05 -1.3636363636364e-05 -1.3636363636364e-05 0 0 0 0 5.4545454545455e-05 -1.6363636363636e-05 -1.6363636363636e-05 0 0 0 2727272.7272727 1.2577107163618e-10 2.5608383275223e-10 0 0 0 5.4545454545455e-05 -1.6363636363636e-05 -1.6363636363636e-05 0 0 0 0 0 0 +0.015 7.5e-05 -2.25e-05 -2.25e-05 0 0 0 4090909.0909091 -2.6825584778717e-10 -1.1188053444792e-10 0 0 0 0 0 0 0 0 0 6.8181818181818e-05 -2.0454545454545e-05 -2.0454545454545e-05 0 0 0 4090909.0909091 -2.6825584778717e-10 -1.1188053444792e-10 0 0 0 6.8181818181818e-05 -2.0454545454545e-05 -2.0454545454545e-05 0 0 0 0 8.1818181818182e-05 -2.4545454545455e-05 -2.4545454545455e-05 0 0 0 4090909.0909091 -1.6058935802654e-10 1.0003616420556e-10 0 0 0 8.1818181818182e-05 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diff --git a/generic-behaviours/homogenization/references/Taylor.ref b/generic-behaviours/homogenization/references/Taylor.ref new file mode 100644 index 0000000..e97def4 --- /dev/null +++ b/generic-behaviours/homogenization/references/Taylor.ref @@ -0,0 +1,254 @@ +# 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 'FirstPhaseStrain' (FirstPhaseStrainXX) +# 15 column: second component of internal variable 'FirstPhaseStrain' (FirstPhaseStrainYY) +# 16 column: third component of internal variable 'FirstPhaseStrain' (FirstPhaseStrainZZ) +# 17 column: fourth component of internal variable 'FirstPhaseStrain' (FirstPhaseStrainXY) +# 18 column: fifth component of internal variable 'FirstPhaseStrain' (FirstPhaseStrainXZ) +# 19 column: sixth component of internal variable 'FirstPhaseStrain' (FirstPhaseStrainYZ) +# 20 column: first component of internal variable 'FirstPhaseStress' (FirstPhaseStressXX) +# 21 column: second component of internal variable 'FirstPhaseStress' (FirstPhaseStressYY) +# 22 column: third component of internal variable 'FirstPhaseStress' (FirstPhaseStressZZ) +# 23 column: fourth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXY) +# 24 column: fifth component of internal variable 'FirstPhaseStress' (FirstPhaseStressXZ) +# 25 column: sixth component of internal variable 'FirstPhaseStress' (FirstPhaseStressYZ) +# 26 column: first component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXX) +# 27 column: second component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYY) +# 28 column: third component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainZZ) +# 29 column: fourth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXY) +# 30 column: fifth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainXZ) +# 31 column: sixth component of internal variable 'FirstPhaseElasticStrain' (FirstPhaseElasticStrainYZ) +# 32 column: FirstPhaseEquivalentPlasticStrain +# 33 column: first component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXX) +# 34 column: second component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainYY) +# 35 column: third component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainZZ) +# 36 column: fourth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXY) +# 37 column: fifth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainXZ) +# 38 column: sixth component of internal variable 'SecondPhaseStrain' (SecondPhaseStrainYZ) +# 39 column: first component of internal variable 'SecondPhaseStress' (SecondPhaseStressXX) +# 40 column: second component of internal variable 'SecondPhaseStress' (SecondPhaseStressYY) +# 41 column: third component of internal variable 'SecondPhaseStress' (SecondPhaseStressZZ) +# 42 column: fourth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXY) +# 43 column: fifth component of internal variable 'SecondPhaseStress' (SecondPhaseStressXZ) +# 44 column: sixth component of internal variable 'SecondPhaseStress' (SecondPhaseStressYZ) +# 45 column: first component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXX) +# 46 column: second component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYY) +# 47 column: third component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainZZ) +# 48 column: fourth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXY) +# 49 column: fifth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainXZ) +# 50 column: sixth component of internal variable 'SecondPhaseElasticStrain' (SecondPhaseElasticStrainYZ) +# 51 column: SecondPhaseEquivalentPlasticStrain +# 52 column: stored energy +# 53 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 +0.005 1.5e-05 -4.6440709272257e-06 -4.6440709272257e-06 0 0 0 1442244.181751 1.1804443305532e-10 -4.9192506243815e-12 0 0 0 1.5e-05 -4.6440709272257e-06 -4.6440709272257e-06 0 0 0 2407092.7225711 224418.17510159 224418.17510159 0 0 0 1.5e-05 -4.6440709272257e-06 -4.6440709272257e-06 0 0 0 0 1.5e-05 -4.6440709272257e-06 -4.6440709272257e-06 0 0 0 1335038.7883266 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