ThermoElasticOps.hpp

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/** \file ThermoElasticOps.hpp
 * \example mofem/tutorials/adv-2/src/ThermoElasticOps.hpp
 */
 
namespace ThermoElasticOps {
 
struct OpKCauchyThermoElasticity : public AssemblyDomainEleOp {
  OpKCauchyThermoElasticity(
      const std::string row_field_name, const std::string col_field_name,
      boost::shared_ptr<MatrixDouble> mDptr,
      boost::shared_ptr<VectorDouble> coeff_expansion_ptr);
 
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data);
 
private:
  boost::shared_ptr<MatrixDouble> mDPtr;
  boost::shared_ptr<VectorDouble> coeffExpansionPtr;
};
 
struct OpStressThermal : public DomainEleOp {
  /**
   * @deprecated do not use this constructor
   */
  DEPRECATED
  OpStressThermal(const std::string field_name,
                  boost::shared_ptr<MatrixDouble> strain_ptr,
                  boost::shared_ptr<VectorDouble> temp_ptr,
                  boost::shared_ptr<MatrixDouble> m_D_ptr,
                  boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
                  boost::shared_ptr<MatrixDouble> stress_ptr);
 
  OpStressThermal(boost::shared_ptr<MatrixDouble> strain_ptr,
                  boost::shared_ptr<VectorDouble> temp_ptr,
                  boost::shared_ptr<MatrixDouble> m_D_ptr,
                  boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
                  boost::shared_ptr<double> ref_temp_ptr,
                  boost::shared_ptr<MatrixDouble> stress_ptr);
 
  MoFEMErrorCode doWork(int side, EntityType type, EntData &data);
 
private:
  boost::shared_ptr<MatrixDouble> strainPtr;
  boost::shared_ptr<VectorDouble> tempPtr;
  boost::shared_ptr<MatrixDouble> mDPtr;
  boost::shared_ptr<VectorDouble> coeffExpansionPtr;
  boost::shared_ptr<double> refTempPtr;
  boost::shared_ptr<MatrixDouble> stressPtr;
};
 
OpKCauchyThermoElasticity::OpKCauchyThermoElasticity(
    const std::string row_field_name, const std::string col_field_name,
    boost::shared_ptr<MatrixDouble> mDptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      mDPtr(mDptr), coeffExpansionPtr(coeff_expansion_ptr) {
  sYmm = false;
}
 
MoFEMErrorCode
OpKCauchyThermoElasticity::iNtegrate(EntitiesFieldData::EntData &row_data,
                                     EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const auto nb_integration_pts = row_data.getN().size1();
  const auto nb_row_base_functions = row_data.getN().size2();
  auto t_w = getFTensor0IntegrationWeight();
  auto t_row_diff_base = row_data.getFTensor1DiffN<SPACE_DIM>();
  auto t_D = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM, 0>(*mDPtr);
 
  FTensor::Index<'i', SPACE_DIM> i;
  FTensor::Index<'j', SPACE_DIM> j;
  FTensor::Index<'k', SPACE_DIM> k;
  FTensor::Index<'l', SPACE_DIM> l;
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_eigen_strain;
 
  auto t_coeff_exp = FTensor::Tensor2<double, SPACE_DIM, SPACE_DIM>();
  t_coeff_exp(i, j) = 0;
  for (auto d = 0; d != SPACE_DIM; ++d) {
    t_coeff_exp(d, d) = (*coeffExpansionPtr)[d];
  }
 
  t_eigen_strain(i, j) = (t_D(i, j, k, l) * t_coeff_exp(k, l));
 
  for (auto gg = 0; gg != nb_integration_pts; ++gg) {
 
    double alpha = getMeasure() * t_w;
    auto rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / SPACE_DIM; ++rr) {
      auto t_mat = getFTensor1FromMat<SPACE_DIM, 1>(locMat, rr * SPACE_DIM);
      auto t_col_base = col_data.getFTensor0N(gg, 0);
      for (auto cc = 0; cc != AssemblyDomainEleOp::nbCols; cc++) {
 
        t_mat(i) -=
            (t_row_diff_base(j) * t_eigen_strain(i, j)) * (t_col_base * alpha);
 
        ++t_mat;
        ++t_col_base;
      }
 
      ++t_row_diff_base;
    }
    for (; rr != nb_row_base_functions; ++rr)
      ++t_row_diff_base;
 
    ++t_w;
  }
 
  MoFEMFunctionReturn(0);
}
 
OpStressThermal::OpStressThermal(
    const std::string field_name, boost::shared_ptr<MatrixDouble> strain_ptr,
    boost::shared_ptr<VectorDouble> temp_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
    boost::shared_ptr<MatrixDouble> stress_ptr)
    : DomainEleOp(field_name, DomainEleOp::OPROW), strainPtr(strain_ptr),
      tempPtr(temp_ptr), mDPtr(m_D_ptr), coeffExpansionPtr(coeff_expansion_ptr),
      stressPtr(stress_ptr) {
  // Operator is only executed for vertices
  std::fill(&doEntities[MBEDGE], &doEntities[MBMAXTYPE], false);
}
 
OpStressThermal::OpStressThermal(
    boost::shared_ptr<MatrixDouble> strain_ptr,
    boost::shared_ptr<VectorDouble> temp_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
    boost::shared_ptr<double> ref_temp_ptr,
    boost::shared_ptr<MatrixDouble> stress_ptr)
    : DomainEleOp(NOSPACE, DomainEleOp::OPSPACE), strainPtr(strain_ptr),
      tempPtr(temp_ptr), mDPtr(m_D_ptr), coeffExpansionPtr(coeff_expansion_ptr),
      refTempPtr(ref_temp_ptr), stressPtr(stress_ptr) {}
 
//! [Calculate stress]
MoFEMErrorCode OpStressThermal::doWork(int side, EntityType type,
                                       EntData &data) {
  MoFEMFunctionBegin;
  const auto nb_gauss_pts = getGaussPts().size2();
  stressPtr->resize((SPACE_DIM * (SPACE_DIM + 1)) / 2, nb_gauss_pts);
 
  auto t_D = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM, 0>(*mDPtr);
  auto t_strain = getFTensor2SymmetricFromMat<SPACE_DIM>(*strainPtr);
  auto t_stress = getFTensor2SymmetricFromMat<SPACE_DIM>(*stressPtr);
  auto t_temp = getFTensor0FromVec(*tempPtr);
 
  FTensor::Index<'i', SPACE_DIM> i;
  FTensor::Index<'j', SPACE_DIM> j;
  FTensor::Index<'k', SPACE_DIM> k;
  FTensor::Index<'l', SPACE_DIM> l;
 
  auto t_coeff_exp = FTensor::Tensor2<double, SPACE_DIM, SPACE_DIM>();
  t_coeff_exp(i, j) = 0;
  for (auto d = 0; d != SPACE_DIM; ++d) {
    t_coeff_exp(d, d) = (*coeffExpansionPtr)[d];
  }
 
  for (size_t gg = 0; gg != nb_gauss_pts; ++gg) {
    t_stress(i, j) =
        t_D(i, j, k, l) *
        (t_strain(k, l) - t_coeff_exp(k, l) * (t_temp - (*refTempPtr)));
    ++t_strain;
    ++t_stress;
    ++t_temp;
  }
  MoFEMFunctionReturn(0);
}
//! [Calculate stress]
 
struct SetTargetTemperature;
 
} // namespace ThermoElasticOps
 
//! [Target temperature]
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::OpFluxRhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                            OpBase>;
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::OpFluxLhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                            OpBase>;
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::AddFluxToRhsPipelineImpl<
 
    MoFEM::OpFluxRhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                         OpBase>,
    A, I, OpBase
 
    > {
 
  AddFluxToRhsPipelineImpl() = delete;
 
  static MoFEMErrorCode add(
 
      boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
      MoFEM::Interface &m_field, const std::string field_name,
      boost::shared_ptr<VectorDouble> temp_ptr, std::string block_name, Sev sev
 
  ) {
    MoFEMFunctionBegin;
 
    using OP_SOURCE = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template LinearForm<I>::template OpSource<1, 1>;
    using OP_TEMP = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template LinearForm<I>::template OpBaseTimesScalar<1>;
 
    auto add_op = [&](auto &&meshset_vec_ptr) {
      MoFEMFunctionBegin;
      for (auto m : meshset_vec_ptr) {
        std::vector<double> block_data;
        m->getAttributes(block_data);
        if (block_data.size() < 2) {
          SETERRQ(PETSC_COMM_WORLD, MOFEM_DATA_INCONSISTENCY,
                  "Expected two parameters");
        }
        double target_temperature = block_data[0];
        double beta =
            block_data[1]; // Set temperature parameter [ W/K * (1/m^3)]
        auto ents_ptr = boost::make_shared<Range>();
        CHKERR m_field.get_moab().get_entities_by_handle(m->meshset,
                                                         *(ents_ptr), true);
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "SetTargetTemperature")
            << "Add " << *m << " target temperature " << target_temperature
            << " penalty " << beta;
 
        pipeline.push_back(new OP_SOURCE(
            field_name,
            [target_temperature, beta](double, double, double) {
              return target_temperature * beta;
            },
            ents_ptr));
        pipeline.push_back(new OP_TEMP(
            field_name, temp_ptr,
            [beta](double, double, double) { return -beta; }, ents_ptr));
      }
      MoFEMFunctionReturn(0);
    };
 
    CHKERR add_op(
 
        m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
            (boost::format("%s(.*)") % block_name).str()
 
                ))
 
    );
 
    MOFEM_LOG_CHANNEL("WORLD");
 
    MoFEMFunctionReturn(0);
  }
};
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct AddFluxToLhsPipelineImpl<
 
    OpFluxLhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I, OpBase>,
    A, I, OpBase
 
    > {
 
  AddFluxToLhsPipelineImpl() = delete;
 
  static MoFEMErrorCode add(
 
      boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
      MoFEM::Interface &m_field, const std::string field_name,
      boost::shared_ptr<VectorDouble> temp_ptr, std::string block_name, Sev sev
 
  ) {
    MoFEMFunctionBegin;
 
    using OP_MASS = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template BiLinearForm<I>::template OpMass<1, 1>;
 
    auto add_op = [&](auto &&meshset_vec_ptr) {
      MoFEMFunctionBegin;
      for (auto m : meshset_vec_ptr) {
        std::vector<double> block_data;
        m->getAttributes(block_data);
        if (block_data.size() != 2) {
          SETERRQ(PETSC_COMM_WORLD, MOFEM_DATA_INCONSISTENCY,
                  "Expected two parameters");
        }
        double beta =
            block_data[1]; // Set temperature parameter [ W/K * (1/m^3)]
        auto ents_ptr = boost::make_shared<Range>();
        CHKERR m_field.get_moab().get_entities_by_handle(m->meshset,
                                                         *(ents_ptr), true);
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "SetTargetTemperature")
            << "Add " << *m << " penalty " << beta;
 
        pipeline.push_back(new OP_MASS(
            field_name, field_name,
            [beta](double, double, double) { return -beta; }, ents_ptr));
      }
      MoFEMFunctionReturn(0);
    };
 
    CHKERR add_op(
 
        m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
            (boost::format("%s(.*)") % block_name).str()
 
                ))
 
    );
 
    MOFEM_LOG_CHANNEL("WORLD");
 
    MoFEMFunctionReturn(0);
  }
};
 
//! [Target temperature]