493 {
495
502
504
505 auto nb_gauss_pts = DomainEleOp::getGaussPts().size2();
506 auto t_w = DomainEleOp::getFTensor0IntegrationWeight();
508 auto t_tau_dot = getFTensor0FromVec(
commonDataPtr->plasticTauDot);
509 auto t_f = getFTensor0FromVec(
commonDataPtr->plasticSurface);
510 auto t_flow = getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->plasticFlow);
511 auto t_plastic_strain =
512 getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->plasticStrain);
513 auto t_plastic_strain_dot =
514 getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->plasticStrainDot);
515 auto t_stress =
516 getFTensor2SymmetricFromMat<DIM>(*(
commonDataPtr->mStressPtr));
517
518 auto t_D = getFTensor4DdgFromMat<DIM, DIM, 0>(*
commonDataPtr->mDPtr);
519 auto t_D_Op = getFTensor4DdgFromMat<DIM, DIM, 0>(*
mDPtr);
520
523
526 t_flow_dir_dstress(
i,
j,
k,
l) =
527 1.5 * (t_diff_deviator(
M,
N,
i,
j) * t_diff_deviator(
M,
N,
k,
l));
528 t_flow_dir_dstrain(
i,
j,
k,
l) =
529 t_flow_dir_dstress(
i,
j,
m,
n) * t_D_Op(
m,
n,
k,
l);
530
531
532 auto t_alpha_dir =
534
542 false);
544 false);
545
554
556 auto t_res_c_dtau = getFTensor0FromVec(
commonDataPtr->resCdTau);
557 auto t_res_c_dstrain =
558 getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->resCdStrain);
559 auto t_res_c_plastic_strain =
560 getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->resCdPlasticStrain);
561 auto t_res_flow = getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->resFlow);
562 auto t_res_flow_dtau =
563 getFTensor2SymmetricFromMat<DIM>(
commonDataPtr->resFlowDtau);
564 auto t_res_flow_dstrain =
565 getFTensor4DdgFromMat<DIM, DIM>(
commonDataPtr->resFlowDstrain);
566 auto t_res_flow_dplastic_strain =
567 getFTensor4DdgFromMat<DIM, DIM>(
commonDataPtr->resFlowDstrainDot);
568
569 auto next = [&]() {
570 ++t_tau;
571 ++t_tau_dot;
572 ++t_f;
573 ++t_flow;
574 ++t_plastic_strain;
575 ++t_plastic_strain_dot;
576 ++t_stress;
577 ++t_res_c;
578 ++t_res_c_dtau;
579 ++t_res_c_dstrain;
580 ++t_res_c_plastic_strain;
581 ++t_res_flow;
582 ++t_res_flow_dtau;
583 ++t_res_flow_dstrain;
584 ++t_res_flow_dplastic_strain;
585 ++t_w;
586 };
587
588 auto get_avtive_pts = [&]() {
589 int nb_points_avtive_on_elem = 0;
590 int nb_points_on_elem = 0;
591
593 auto t_tau_dot = getFTensor0FromVec(
commonDataPtr->plasticTauDot);
594 auto t_f = getFTensor0FromVec(
commonDataPtr->plasticSurface);
595 auto t_plastic_strain_dot =
596 getFTensor2SymmetricFromMat<SPACE_DIM>(
commonDataPtr->plasticStrainDot);
597
598 auto dt = this->getTStimeStep();
599
600 for (auto gg = 0; gg != nb_gauss_pts; ++gg) {
603 eqiv, t_tau_dot, t_f,
608
609 ++nb_points_on_elem;
610 if (sign_ww > 0) {
611 ++nb_points_avtive_on_elem;
612 }
613
614 ++t_tau;
615 ++t_tau_dot;
616 ++t_f;
617 ++t_plastic_strain_dot;
618 }
619
625
626 ++nb_elements;
627 nb_points += nb_points_on_elem;
628 if (nb_points_avtive_on_elem > 0) {
629 ++avtive_elems;
630 active_points += nb_points_avtive_on_elem;
631 if (nb_points_avtive_on_elem == nb_points_on_elem) {
632 ++avtive_full_elems;
633 }
634 }
635
636 if (nb_points_avtive_on_elem != nb_points_on_elem)
637 return 1;
638 else
639 return 0;
640 };
641
642 if (DomainEleOp::getTSCtx() == TSMethod::TSContext::CTX_TSSETIJACOBIAN) {
643 get_avtive_pts();
644 }
645
646 auto dt = this->getTStimeStep();
647 for (auto gg = 0; gg != nb_gauss_pts; ++gg) {
648
651 t_diff_plastic_strain,
653
654 const auto sigma_y =
657 const auto d_sigma_y =
660
664
665 auto c =
constraint(eqiv, t_tau_dot, t_f, sigma_y, abs_ww,
674
676
677 t_stress,
trace(t_stress),
678
680
681 );
682
684 t_flow_dir(
k,
l) = 1.5 * (t_dev_stress(
I,
J) * t_diff_deviator(
I,
J,
k,
l));
686 t_flow_dstrain(
i,
j) = t_flow(
k,
l) * t_D_Op(
k,
l,
i,
j);
687
688 auto get_res_c = [&]() {
return c; };
689
690 auto get_res_c_dstrain = [&](auto &t_diff_res) {
691 t_diff_res(
i,
j) = c_f * t_flow_dstrain(
i,
j);
692 };
693
694 auto get_res_c_dplastic_strain = [&](auto &t_diff_res) {
695 t_diff_res(
i,
j) = (this->getTSa() * c_equiv) * t_diff_eqiv(
i,
j);
696 t_diff_res(
k,
l) -= c_f * t_flow(
i,
j) * t_alpha_dir(
i,
j,
k,
l);
697 };
698
699 auto get_res_c_dtau = [&]() {
700 return this->getTSa() * c_dot_tau + c_sigma_y * d_sigma_y;
701 };
702
703 auto get_res_c_plastic_strain = [&](auto &t_diff_res) {
704 t_diff_res(
k,
l) = -c_f * t_flow(
i,
j) * t_alpha_dir(
i,
j,
k,
l);
705 };
706
707 auto get_res_flow = [&](auto &t_res_flow) {
708 const auto a = sigma_y;
709 const auto b = t_tau_dot;
710 t_res_flow(
k,
l) =
a * t_plastic_strain_dot(
k,
l) - b * t_flow_dir(
k,
l);
711 };
712
713 auto get_res_flow_dtau = [&](auto &t_res_flow_dtau) {
714 const auto da = d_sigma_y;
715 const auto db = this->getTSa();
716 t_res_flow_dtau(
k,
l) =
717 da * t_plastic_strain_dot(
k,
l) - db * t_flow_dir(
k,
l);
718 };
719
720 auto get_res_flow_dstrain = [&](auto &t_res_flow_dstrain) {
721 const auto b = t_tau_dot;
722 t_res_flow_dstrain(
m,
n,
k,
l) = -t_flow_dir_dstrain(
m,
n,
k,
l) * b;
723 };
724
725 auto get_res_flow_dplastic_strain = [&](auto &t_res_flow_dplastic_strain) {
726 const auto a = sigma_y;
727 t_res_flow_dplastic_strain(
m,
n,
k,
l) =
728 (
a * this->getTSa()) * t_diff_plastic_strain(
m,
n,
k,
l);
729 const auto b = t_tau_dot;
730 t_res_flow_dplastic_strain(
m,
n,
i,
j) +=
731 (t_flow_dir_dstrain(
m,
n,
k,
l) * t_alpha_dir(
k,
l,
i,
j)) * b;
732 };
733
734 t_res_c = get_res_c();
735 get_res_flow(t_res_flow);
736
737 if (this->getTSCtx() == TSMethod::TSContext::CTX_TSSETIJACOBIAN) {
738 t_res_c_dtau = get_res_c_dtau();
739 get_res_c_dstrain(t_res_c_dstrain);
740 get_res_c_dplastic_strain(t_res_c_plastic_strain);
741 get_res_flow_dtau(t_res_flow_dtau);
742 get_res_flow_dstrain(t_res_flow_dstrain);
743 get_res_flow_dplastic_strain(t_res_flow_dplastic_strain);
744 }
745
746 next();
747 }
748
750}
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
FTensor::Index< 'i', SPACE_DIM > i
const double c
speed of light (cm/ns)
const double n
refractive index of diffusive medium
FTensor::Index< 'l', 3 > l
FTensor::Index< 'j', 3 > j
FTensor::Index< 'k', 3 > k
double diff_constrain_ddot_tau(double sign, double eqiv, double dot_tau, double vis_H, double sigma_Y)
double constrian_sign(double x, double dt)
FTensor::Index< 'M', 3 > M
double diff_constrain_deqiv(double sign, double eqiv, double dot_tau, double sigma_Y)
auto diff_equivalent_strain_dot(const T1 eqiv, T2 &t_plastic_strain_dot, T3 &t_diff_plastic_strain, FTensor::Number< DIM >)
double constraint(double eqiv, double dot_tau, double f, double sigma_y, double abs_w, double vis_H, double sigma_Y)
auto diff_constrain_df(double sign)
FTensor::Index< 'N', 3 > N
auto diff_constrain_dsigma_y(double sign)
FTensor::Index< 'I', 3 > I
[Common data]
FTensor::Index< 'J', 3 > J
auto diff_tensor(FTensor::Number< DIM >)
[Lambda functions]
auto diff_deviator(FTensor::Ddg< double, DIM, DIM > &&t_diff_stress, FTensor::Number< DIM >)
double trace(FTensor::Tensor2_symmetric< T, 2 > &t_stress)
auto deviator(FTensor::Tensor2_symmetric< T, DIM > &t_stress, double trace, FTensor::Tensor2_symmetric< double, DIM > &t_alpha, FTensor::Number< DIM >)
double w(double eqiv, double dot_tau, double f, double sigma_y, double sigma_Y)
auto equivalent_strain_dot(FTensor::Tensor2_symmetric< T, DIM > &t_plastic_strain_dot)
double constrain_abs(double x, double dt)
auto kinematic_hardening(FTensor::Tensor2_symmetric< T, DIM > &t_plastic_strain, double C1_k)
double iso_hardening_dtau(double tau, double H, double Qinf, double b_iso)
double iso_hardening(double tau, double H, double Qinf, double b_iso, double sigmaY)
auto kinematic_hardening_dplastic_strain(double C1_k)
FTensor::Index< 'm', 3 > m
static std::array< int, 5 > activityData
