PlasticOpsLargeStrains.hpp

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/** \file PlasticOpsLargeStrains.hpp
 * \example mofem/tutorials/adv-0_plasticity/src/PlasticOpsLargeStrains.hpp
 */
 
namespace PlasticOps {
 
template <int DIM, typename AssemblyDomainEleOp>
struct OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl<DIM, GAUSS,
                                                            AssemblyDomainEleOp>
    : public AssemblyDomainEleOp {
  OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl(
      const std::string row_field_name, const std::string col_field_name,
      boost::shared_ptr<CommonData> common_data_ptr,
      boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
      boost::shared_ptr<MatrixDouble> m_D_ptr);
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data);
 
private:
  boost::shared_ptr<CommonData> commonDataPtr;
  boost::shared_ptr<HenckyOps::CommonData> commonHenckyDataPtr;
  boost::shared_ptr<MatrixDouble> mDPtr;
  MatrixDouble locMat;
  MatrixDouble resDiff;
};
 
template <int DIM, typename AssemblyDomainEleOp>
OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl<DIM, GAUSS,
                                                     AssemblyDomainEleOp>::
    OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl(
        const std::string row_field_name, const std::string col_field_name,
        boost::shared_ptr<CommonData> common_data_ptr,
        boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
        boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          AssemblyDomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr),
      commonHenckyDataPtr(common_hencky_data_ptr), mDPtr(m_D_ptr) {
  AssemblyDomainEleOp::sYmm = false;
}
 
template <int DIM, typename AssemblyDomainEleOp>
MoFEMErrorCode OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl<
    DIM, GAUSS,
    AssemblyDomainEleOp>::iNtegrate(EntitiesFieldData::EntData &row_data,
                                    EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  FTensor::Index<'i', DIM> i;
  FTensor::Index<'j', DIM> j;
  FTensor::Index<'k', DIM> k;
  FTensor::Index<'l', DIM> l;
  FTensor::Index<'m', DIM> m;
  FTensor::Index<'n', DIM> n;
 
  constexpr auto size_symm = (DIM * (DIM + 1)) / 2;
  FTensor::Index<'L', size_symm> L;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const size_t nb_integration_pts = row_data.getN().size1();
  const size_t nb_row_base_functions = row_data.getN().size2();
 
  if (AssemblyDomainEleOp::rowType == MBVERTEX &&
      AssemblyDomainEleOp::rowSide == 0) {
    resDiff.resize(nb_integration_pts, DIM * DIM * size_symm, false);
    auto t_res_diff = getFTensor3FromMat<DIM, DIM, size_symm>(resDiff);
    auto t_D = getFTensor4DdgFromMat<DIM, DIM, 0>(*mDPtr);
    auto t_logC_dC =
        getFTensor4DdgFromMat<DIM, DIM>(commonHenckyDataPtr->matLogCdC);
    auto t_grad =
        getFTensor2FromMat<DIM, DIM>(*(commonHenckyDataPtr->matGradPtr));
    auto t_L = FTensor::symm_l_tensor<double, DIM>();
    constexpr auto t_kd = FTensor::Kronecker_Delta<int>();
    for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
      FTensor::Tensor2<double, DIM, DIM> t_F;
      t_F(i, j) = t_grad(i, j) + t_kd(i, j);
      FTensor::Tensor4<double, DIM, DIM, DIM, DIM> t_DLogC_dC;
      t_DLogC_dC(i, j, k, l) = t_D(m, n, k, l) * t_logC_dC(m, n, i, j);
      FTensor::Tensor4<double, DIM, DIM, DIM, DIM> t_FDLogC_dC;
      t_FDLogC_dC(i, j, k, l) = t_F(i, m) * t_DLogC_dC(m, j, k, l);
      FTensor::Tensor3<double, DIM, DIM, size_symm> t_DL;
      t_res_diff(i, j, L) = t_FDLogC_dC(i, j, k, l) * t_L(k, l, L);
      ++t_logC_dC;
      ++t_grad;
      ++t_res_diff;
    }
  }
 
  auto t_w = AssemblyDomainEleOp::getFTensor0IntegrationWeight();
  auto t_row_diff_base = row_data.getFTensor1DiffN<DIM>();
  auto t_res_diff = getFTensor3FromMat<DIM, DIM, size_symm>(resDiff);
 
  for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
    double alpha = AssemblyDomainEleOp::getMeasure() * t_w;
 
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / DIM; ++rr) {
 
      auto t_mat =
          get_mat_vector_dtensor_sym(rr, locMat, FTensor::Number<DIM>());
 
      FTensor::Tensor2<double, DIM, size_symm> t_tmp;
      t_tmp(i, L) = (t_res_diff(i, j, L) * (alpha * t_row_diff_base(j)));
 
      auto t_col_base = col_data.getFTensor0N(gg, 0);
      for (size_t cc = 0; cc != AssemblyDomainEleOp::nbCols / size_symm; ++cc) {
 
        t_mat(i, L) -= (t_col_base * t_tmp(i, L));
 
        ++t_mat;
        ++t_col_base;
      }
 
      ++t_row_diff_base;
    }
 
    for (; rr < nb_row_base_functions; ++rr)
      ++t_row_diff_base;
 
    ++t_w;
    ++t_res_diff;
  }
 
  MoFEMFunctionReturn(0);
}
 
template <int DIM, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowLhs_LogStrain_dUImpl<DIM, GAUSS,
                                                  AssemblyDomainEleOp>
    : public AssemblyDomainEleOp {
  OpCalculatePlasticFlowLhs_LogStrain_dUImpl(
      const std::string row_field_name, const std::string col_field_name,
      boost::shared_ptr<CommonData> common_data_ptr,
      boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
      boost::shared_ptr<MatrixDouble> m_D_ptr);
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data);
 
private:
  boost::shared_ptr<CommonData> commonDataPtr;
  boost::shared_ptr<HenckyOps::CommonData> commonHenckyDataPtr;
  boost::shared_ptr<MatrixDouble> mDPtr;
  MatrixDouble resDiff;
};
 
template <int DIM, typename AssemblyDomainEleOp>
OpCalculatePlasticFlowLhs_LogStrain_dUImpl<DIM, GAUSS, AssemblyDomainEleOp>::
    OpCalculatePlasticFlowLhs_LogStrain_dUImpl(
        const std::string row_field_name, const std::string col_field_name,
        boost::shared_ptr<CommonData> common_data_ptr,
        boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
        boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          AssemblyDomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr),
      commonHenckyDataPtr(common_hencky_data_ptr), mDPtr(m_D_ptr) {
  AssemblyDomainEleOp::sYmm = false;
}
 
template <int DIM, typename AssemblyDomainEleOp>
MoFEMErrorCode
OpCalculatePlasticFlowLhs_LogStrain_dUImpl<DIM, GAUSS, AssemblyDomainEleOp>::
    iNtegrate(EntitiesFieldData::EntData &row_data,
              EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  FTensor::Index<'i', DIM> i;
  FTensor::Index<'j', DIM> j;
  FTensor::Index<'k', DIM> k;
  FTensor::Index<'l', DIM> l;
  FTensor::Index<'m', DIM> m;
  FTensor::Index<'n', DIM> n;
  constexpr auto size_symm = (DIM * (DIM + 1)) / 2;
  FTensor::Index<'L', size_symm> L;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const auto nb_integration_pts = AssemblyDomainEleOp::getGaussPts().size2();
  const auto nb_row_base_functions = row_data.getN().size2();
 
  if (AssemblyDomainEleOp::colType == MBVERTEX &&
      AssemblyDomainEleOp::colSide == 0) {
 
    resDiff.resize(nb_integration_pts, size_symm * DIM * DIM, false);
    auto t_res_diff = getFTensor3FromMat<size_symm, DIM, DIM>(resDiff);
 
    auto t_res_flow_dstrain =
        getFTensor4DdgFromMat<DIM, DIM>(commonDataPtr->resFlowDstrain);
    auto t_grad = getFTensor2FromMat<DIM, DIM>(*(commonDataPtr->mGradPtr));
    auto t_logC_dC =
        getFTensor4DdgFromMat<DIM, DIM>(commonHenckyDataPtr->matLogCdC);
 
    auto next = [&]() {
      ++t_res_flow_dstrain;
      ++t_grad;
      ++t_logC_dC;
      ++t_res_diff;
    };
 
    auto t_L = FTensor::symm_l_tensor<double, SPACE_DIM>();
    constexpr auto t_kd = FTensor::Kronecker_Delta<int>();
    FTensor::Tensor4<double, DIM, DIM, DIM, DIM> t_diff_grad;
    t_diff_grad(i, j, k, l) = t_kd(i, k) * t_kd(j, l);
 
    for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
      FTensor::Ddg<double, DIM, DIM> t_diff_ls_dlogC_dC;
      FTensor::Tensor2<double, DIM, DIM> t_F;
      FTensor::Tensor4<double, DIM, DIM, DIM, DIM> t_dC_dF;
 
      t_diff_ls_dlogC_dC(i, j, k, l) =
          (t_res_flow_dstrain(i, j, m, n)) * (t_logC_dC(m, n, k, l) / 2);
 
      t_F(i, j) = t_grad(i, j) + t_kd(i, j);
      t_dC_dF(i, j, k, l) = (t_kd(i, l) * t_F(k, j)) + (t_kd(j, l) * t_F(k, i));
 
      FTensor::Tensor3<double, size_symm, DIM, DIM> t_res_tens;
      t_res_diff(L, i, j) =
          (t_L(m, n, L) * t_diff_ls_dlogC_dC(m, n, k, l)) * t_dC_dF(k, l, i, j);
      next();
    }
  }
 
  auto t_res_diff = getFTensor3FromMat<size_symm, DIM, DIM>(resDiff);
 
  auto t_w = AssemblyDomainEleOp::getFTensor0IntegrationWeight();
  auto t_row_base = row_data.getFTensor0N();
  for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
    double alpha = AssemblyDomainEleOp::getMeasure() * t_w;
    ++t_w;
 
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / size_symm; ++rr) {
      const auto row_base = alpha * t_row_base;
      auto t_mat =
          get_mat_tensor_sym_dvector(rr, locMat, FTensor::Number<DIM>());
      auto t_col_diff_base = col_data.getFTensor1DiffN<DIM>(gg, 0);
      for (auto cc = 0; cc != AssemblyDomainEleOp::nbCols / DIM; ++cc) {
        t_mat(L, l) += row_base * (t_res_diff(L, l, k) * t_col_diff_base(k));
        ++t_mat;
        ++t_col_diff_base;
      }
      ++t_row_base;
    }
 
    for (; rr < nb_row_base_functions; ++rr)
      ++t_row_base;
 
    ++t_res_diff;
  }
 
  MoFEMFunctionReturn(0);
}
 
template <int DIM, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsLhs_LogStrain_dUImpl<DIM, GAUSS, AssemblyDomainEleOp> :
 public AssemblyDomainEleOp {
  OpCalculateConstraintsLhs_LogStrain_dUImpl(
      const std::string row_field_name, const std::string col_field_name,
      boost::shared_ptr<CommonData> common_data_ptr,
      boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
      boost::shared_ptr<MatrixDouble> m_D_ptr);
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data);
 
private:
  boost::shared_ptr<CommonData> commonDataPtr;
  boost::shared_ptr<HenckyOps::CommonData> commonHenckyDataPtr;
  boost::shared_ptr<MatrixDouble> mDPtr;
  MatrixDouble resDiff;
};
 
template <int DIM, typename AssemblyDomainEleOp>
OpCalculateConstraintsLhs_LogStrain_dUImpl<DIM, GAUSS, AssemblyDomainEleOp>::
    OpCalculateConstraintsLhs_LogStrain_dUImpl(
        const std::string row_field_name, const std::string col_field_name,
        boost::shared_ptr<CommonData> common_data_ptr,
        boost::shared_ptr<HenckyOps::CommonData> common_hencky_data_ptr,
        boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr),
      commonHenckyDataPtr(common_hencky_data_ptr), mDPtr(m_D_ptr) {
  AssemblyDomainEleOp::sYmm = false;
}
 
template <int DIM, typename AssemblyDomainEleOp>
MoFEMErrorCode
OpCalculateConstraintsLhs_LogStrain_dUImpl<DIM, GAUSS, AssemblyDomainEleOp>::
    iNtegrate(EntitiesFieldData::EntData &row_data,
              EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  FTensor::Index<'i', DIM> i;
  FTensor::Index<'j', DIM> j;
  FTensor::Index<'k', DIM> k;
  FTensor::Index<'l', DIM> l;
 
  constexpr auto t_kd = FTensor::Kronecker_Delta<int>();
 
  AssemblyDomainEleOp::locMat.resize(AssemblyDomainEleOp::nbRows, AssemblyDomainEleOp::nbCols,
                false);
  AssemblyDomainEleOp::locMat.clear();
 
  const auto nb_integration_pts = AssemblyDomainEleOp::getGaussPts().size2();
  const auto nb_row_base_functions = row_data.getN().size2();
 
  if (AssemblyDomainEleOp::colType == MBVERTEX &&
      AssemblyDomainEleOp::colSide == 0) {
 
    resDiff.resize(nb_integration_pts, DIM * DIM, false);
    auto t_res_diff = getFTensor2FromMat<DIM, DIM>(resDiff);
    auto t_grad = getFTensor2FromMat<DIM, DIM>(*(commonDataPtr->mGradPtr));
    auto t_logC_dC =
        getFTensor4DdgFromMat<DIM, DIM>(commonHenckyDataPtr->matLogCdC);
    auto t_c_dstrain = getFTensor2SymmetricFromMat<DIM>(commonDataPtr->resCdStrain);
 
    auto next = [&]() {
      ++t_grad;
      ++t_logC_dC;
      ++t_c_dstrain;
      ++t_res_diff;
    };
 
    for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
      FTensor::Tensor2_symmetric<double, DIM> t_diff_ls_dlog_c;
      FTensor::Tensor2<double, DIM, DIM> t_F;
      FTensor::Tensor4<double, DIM, DIM, DIM, DIM> t_dC_dF;
 
      t_diff_ls_dlog_c(k, l) =
          (t_c_dstrain(i, j)) * (t_logC_dC(i, j, k, l) / 2);
      t_F(i, j) = t_grad(i, j) + t_kd(i, j);
      t_dC_dF(i, j, k, l) = (t_kd(i, l) * t_F(k, j)) + (t_kd(j, l) * t_F(k, i));
 
      FTensor::Tensor2<double, DIM, DIM> t_res_mat;
      t_res_diff(i, j) = (t_diff_ls_dlog_c(k, l) * t_dC_dF(k, l, i, j));
      next();
    }
  }
 
  auto t_res_diff = getFTensor2FromMat<DIM, DIM>(resDiff);
 
  auto t_w = AssemblyDomainEleOp::getFTensor0IntegrationWeight();
  auto t_row_base = row_data.getFTensor0N();
  for (auto gg = 0; gg != nb_integration_pts; ++gg) {
    double alpha = AssemblyDomainEleOp::getMeasure() * t_w;
    ++t_w;
 
    auto t_mat =
        getFTensor1FromPtr<DIM>(AssemblyDomainEleOp::locMat.data().data());
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows; ++rr) {
      const auto row_base = alpha * t_row_base;
      auto t_col_diff_base = col_data.getFTensor1DiffN<DIM>(gg, 0);
      for (size_t cc = 0; cc != AssemblyDomainEleOp::nbCols / DIM; cc++) {
        t_mat(i) += row_base * (t_res_diff(i, j) * t_col_diff_base(j));
        ++t_mat;
        ++t_col_diff_base;
      }
      ++t_row_base;
    }
    for (; rr != nb_row_base_functions; ++rr)
      ++t_row_base;
 
    ++t_res_diff;
  }
 
  MoFEMFunctionReturn(0);
}
 
}; // namespace PlasticOps