PlasticOpsSmallStrains.hpp

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/** \file PlasticOpsSmallStrains.hpp
 * \example PlasticOpsSmallStrains.hpp
 */
 
namespace PlasticOps {
 
OpCalculatePlasticInternalForceLhs_dEP::OpCalculatePlasticInternalForceLhs_dEP(
    const std::string row_field_name, const std::string col_field_name,
    boost::shared_ptr<CommonData> common_data_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr), mDPtr(m_D_ptr) {
  sYmm = false;
}
 
static inline FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 2, 3>
get_mat_vector_dtensor_sym(size_t rr, MatrixDouble &mat, FTensor::Number<2>) {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 2, 3>{
      &mat(2 * rr + 0, 0), &mat(2 * rr + 0, 1), &mat(2 * rr + 0, 2),
      &mat(2 * rr + 1, 0), &mat(2 * rr + 1, 1), &mat(2 * rr + 1, 2)};
}
 
static inline FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 6>
get_mat_vector_dtensor_sym(size_t rr, MatrixDouble &mat, FTensor::Number<3>) {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 6>{
      &mat(3 * rr + 0, 0), &mat(3 * rr + 0, 1), &mat(3 * rr + 0, 2),
      &mat(3 * rr + 0, 3), &mat(3 * rr + 0, 4), &mat(3 * rr + 0, 5),
 
      &mat(3 * rr + 1, 0), &mat(3 * rr + 1, 1), &mat(3 * rr + 1, 2),
      &mat(3 * rr + 1, 3), &mat(3 * rr + 1, 4), &mat(3 * rr + 1, 5),
 
      &mat(3 * rr + 2, 0), &mat(3 * rr + 2, 1), &mat(3 * rr + 2, 2),
      &mat(3 * rr + 2, 3), &mat(3 * rr + 2, 4), &mat(3 * rr + 2, 5)};
}
 
MoFEMErrorCode OpCalculatePlasticInternalForceLhs_dEP::iNtegrate(
    EntitiesFieldData::EntData &row_data,
    EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  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();
 
  auto t_D = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM, 0>(*mDPtr);
  auto t_L = symm_L_tensor();
 
  FTensor::Dg<double, SPACE_DIM, size_symm> t_DL;
  t_DL(i, j, L) = t_D(i, j, k, l) * t_L(k, l, L);
 
  auto t_w = getFTensor0IntegrationWeight();
  auto t_row_diff_base = row_data.getFTensor1DiffN<SPACE_DIM>();
  for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
    double alpha = getMeasure() * t_w;
    ++t_w;
 
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / SPACE_DIM; ++rr) {
 
      auto t_mat =
          get_mat_vector_dtensor_sym(rr, locMat, FTensor::Number<SPACE_DIM>());
 
      FTensor::Tensor2<double, SPACE_DIM, size_symm> t_tmp;
      t_tmp(i, L) = (t_DL(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;
 
  }
 
  MoFEMFunctionReturn(0);
}
 
OpCalculatePlasticFlowLhs_dU::OpCalculatePlasticFlowLhs_dU(
    const std::string row_field_name, const std::string col_field_name,
    boost::shared_ptr<CommonData> common_data_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr), mDPtr(m_D_ptr) {
  sYmm = false;
}
 
MoFEMErrorCode
OpCalculatePlasticFlowLhs_dU::iNtegrate(EntitiesFieldData::EntData &row_data,
                                        EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const size_t nb_integration_pts = getGaussPts().size2();
  const size_t nb_row_base_functions = row_data.getN().size2();
 
  auto t_res_flow_dstrain = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM>(
      commonDataPtr->resFlowDstrain);
 
  auto next = [&]() {
    ++t_res_flow_dstrain;
  };
 
  auto t_L = symm_L_tensor();
  constexpr auto t_kd = FTensor::Kronecker_Delta<int>();
  FTensor::Tensor4<double, SPACE_DIM, SPACE_DIM, SPACE_DIM, SPACE_DIM>
      t_diff_grad;
  t_diff_grad(i, j, k, l) = t_kd(i, k) * t_kd(j, l);
 
  auto t_w = getFTensor0IntegrationWeight();
  auto t_row_base = row_data.getFTensor0N();
  for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
 
    double alpha = getMeasure() * t_w;
    ++t_w;
    FTensor::Tensor3<double, size_symm, SPACE_DIM, SPACE_DIM> t_res_tens;
    t_res_tens(L, i, j) =
        alpha * ((t_L(m, n, L) * (t_res_flow_dstrain(m, n, k, l))) *
                 t_diff_grad(k, l, i, j));
    next();
 
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / size_symm; ++rr) {
      auto t_mat =
          get_mat_tensor_sym_dvector(rr, locMat, FTensor::Number<SPACE_DIM>());
      auto t_col_diff_base = col_data.getFTensor1DiffN<SPACE_DIM>(gg, 0);
      for (size_t cc = 0; cc != AssemblyDomainEleOp::nbCols / SPACE_DIM; ++cc) {
        t_mat(L, l) += t_row_base * (t_res_tens(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;
  }
 
  MoFEMFunctionReturn(0);
}
 
OpCalculateConstraintsLhs_dU::OpCalculateConstraintsLhs_dU(
    const std::string row_field_name, const std::string col_field_name,
    boost::shared_ptr<CommonData> common_data_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      commonDataPtr(common_data_ptr), mDPtr(m_D_ptr) {
  sYmm = false;
}
 
MoFEMErrorCode
OpCalculateConstraintsLhs_dU::iNtegrate(EntitiesFieldData::EntData &row_data,
                                        EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const auto nb_integration_pts = getGaussPts().size2();
  const auto nb_row_base_functions = row_data.getN().size2();
 
  auto t_c_dstrain =
      getFTensor2SymmetricFromMat<SPACE_DIM>(commonDataPtr->resCdStrain);
  auto t_diff_grad_symmetrise = diff_symmetrize();
 
  auto next = [&]() {
    ++t_c_dstrain;
  };
 
  auto get_mat_scalar_dvector = [&]() {
    if constexpr (SPACE_DIM == 2)
      return FTensor::Tensor1<FTensor::PackPtr<double *, 2>, 2>{&locMat(0, 0),
                                                                &locMat(0, 1)};
    else
      return FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3>{
          &locMat(0, 0), &locMat(0, 1), &locMat(0, 2)};
  };
 
  auto t_w = getFTensor0IntegrationWeight();
  auto t_row_base = row_data.getFTensor0N();
  for (auto gg = 0; gg != nb_integration_pts; ++gg) {
    double alpha = getMeasure() * t_w;
    ++t_w;
 
    FTensor::Tensor2<double, SPACE_DIM, SPACE_DIM> t_res_mat;
    t_res_mat(i, j) =
        ((t_c_dstrain(k, l)) * t_diff_grad_symmetrise(k, l, i, j));
    next();
 
    auto t_mat = get_mat_scalar_dvector();
    size_t rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows; ++rr) {
      const double row_base = alpha * t_row_base;
      auto t_col_diff_base = col_data.getFTensor1DiffN<SPACE_DIM>(gg, 0);
      for (size_t cc = 0; cc != AssemblyDomainEleOp::nbCols / SPACE_DIM; cc++) {
        t_mat(i) += row_base * (t_res_mat(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;
  }
 
  MoFEMFunctionReturn(0);
}
 
}; // namespace PlasticOps