PlasticOps.hpp

\[ \left\{ \begin{array}{ll} \frac{\partial \sigma_{ij}}{\partial x_j} - b_i = 0 & \forall x \in \Omega \\ \varepsilon_{ij} = \frac{1}{2}\left( \frac{\partial u_i}{\partial x_j} + \frac{\partial u_j}{\partial x_i} \right)\\ \sigma_{ij} = D_{ijkl}\left(\varepsilon_{kl}-\varepsilon^p_{kl}\right) \\ \dot{\varepsilon}^p_{kl} - \dot{\tau} \left( \left. \frac{\partial f}{\partial \sigma_{kl}} \right|_{(\sigma,\tau) } \right) = 0 \\ f(\sigma, \tau) \leq 0,\; \dot{\tau} \geq 0,\;\dot{\tau}f(\sigma, \tau)=0\\ u_i = \overline{u}_i & \forall x \in \partial\Omega_u \\ \sigma_{ij}n_j = \overline{t}_i & \forall x \in \partial\Omega_\sigma \\ \Omega_u \cup \Omega_\sigma = \Omega \\ \Omega_u \cap \Omega_\sigma = \emptyset \end{array} \right. \]

\[ \left\{ \begin{array}{ll} \left(\frac{\partial \delta u_i}{\partial x_j},\sigma_{ij}\right)_\Omega-(\delta u_i,b_i)_\Omega -(\delta u_i,\overline{t}_i)_{\partial\Omega_\sigma}=0 & \forall \delta u_i \in H^1(\Omega)\\ \left(\delta\varepsilon^p_{kl} ,D_{ijkl}\left( \dot{\varepsilon}^p_{kl} - \dot{\tau} A_{kl} \right)\right) = 0 & \forall \delta\varepsilon^p_{ij} \in L^2(\Omega) \cap \mathcal{S} \\ \left(\delta\tau,c_n\dot{\tau} - \frac{1}{2}\left\{c_n \dot{\tau} + (f(\pmb\sigma,\tau) - \sigma_y) + \| c_n \dot{\tau} + (f(\pmb\sigma,\tau) - \sigma_y) \|\right\}\right) = 0 & \forall \delta\tau \in L^2(\Omega) \end{array} \right. \]

 
 
/** \file PlasticOps.hpp
 * \example PlasticOps.hpp
 
\f[
\left\{
\begin{array}{ll}
\frac{\partial \sigma_{ij}}{\partial x_j} - b_i = 0 & \forall x \in \Omega \\
\varepsilon_{ij} = \frac{1}{2}\left( \frac{\partial u_i}{\partial x_j} +
\frac{\partial u_j}{\partial x_i} \right)\\
\sigma_{ij} = D_{ijkl}\left(\varepsilon_{kl}-\varepsilon^p_{kl}\right) \\
\dot{\varepsilon}^p_{kl} - \dot{\tau} \left( \left. \frac{\partial f}{\partial
\sigma_{kl}} \right|_{(\sigma,\tau) } \right) = 0 \\
f(\sigma, \tau) \leq 0,\; \dot{\tau} \geq 0,\;\dot{\tau}f(\sigma, \tau)=0\\
u_i = \overline{u}_i & \forall x \in \partial\Omega_u \\
\sigma_{ij}n_j = \overline{t}_i & \forall x \in \partial\Omega_\sigma \\
\Omega_u \cup \Omega_\sigma = \Omega \\
\Omega_u \cap \Omega_\sigma = \emptyset
\end{array}
\right.
\f]
 
\f[
\left\{
\begin{array}{ll}
\left(\frac{\partial \delta u_i}{\partial x_j},\sigma_{ij}\right)_\Omega-(\delta
u_i,b_i)_\Omega -(\delta u_i,\overline{t}_i)_{\partial\Omega_\sigma}=0 & \forall
\delta u_i \in H^1(\Omega)\\ \left(\delta\varepsilon^p_{kl} ,D_{ijkl}\left(
\dot{\varepsilon}^p_{kl} - \dot{\tau} A_{kl} \right)\right) = 0
& \forall \delta\varepsilon^p_{ij} \in L^2(\Omega) \cap \mathcal{S} \\
\left(\delta\tau,c_n\dot{\tau} - \frac{1}{2}\left\{c_n \dot{\tau} +
(f(\pmb\sigma,\tau) - \sigma_y) +
\| c_n \dot{\tau} + (f(\pmb\sigma,\tau) - \sigma_y) \|\right\}\right) = 0 &
\forall \delta\tau \in L^2(\Omega) \end{array} \right.
\f]
 
*/
 
namespace PlasticOps {
 
//! [Common data]
struct CommonData : public boost::enable_shared_from_this<CommonData> {
 
  enum ParamsIndexes {
    YOUNG_MODULUS,
    POISSON_RATIO,
    SIGMA_Y,
    H,
    VIS_H,
    QINF,
    BISO,
    C1_k,
    LAST_PARAM
  };
 
  using BlockParams = std::array<double, LAST_PARAM>;
  BlockParams blockParams;
 
  inline auto getParamsPtr() {
    return boost::shared_ptr<BlockParams>(shared_from_this(), &blockParams);
  };
 
  //! [Common data set externally]
  boost::shared_ptr<MatrixDouble> mDPtr;
  boost::shared_ptr<MatrixDouble> mGradPtr;
  boost::shared_ptr<MatrixDouble> mStrainPtr;
  boost::shared_ptr<MatrixDouble> mStressPtr;
  //! [Common data set externally]
 
  VectorDouble plasticSurface;
  MatrixDouble plasticFlow;
  VectorDouble plasticTau;
  VectorDouble plasticTauDot;
  MatrixDouble plasticStrain;
  MatrixDouble plasticStrainDot;
 
  VectorDouble resC;
  VectorDouble resCdTau;
  MatrixDouble resCdStrain;
  MatrixDouble resCdPlasticStrain;
  MatrixDouble resFlow;
  MatrixDouble resFlowDtau;
  MatrixDouble resFlowDstrain;
  MatrixDouble resFlowDstrainDot;
 
  inline auto getPlasticSurfacePtr() {
    return boost::shared_ptr<VectorDouble>(shared_from_this(), &plasticSurface);
  }
  inline auto getPlasticTauPtr() {
    return boost::shared_ptr<VectorDouble>(shared_from_this(), &plasticTau);
  }
  inline auto getPlasticTauDotPtr() {
    return boost::shared_ptr<VectorDouble>(shared_from_this(), &plasticTauDot);
  }
  inline auto getPlasticStrainPtr() {
    return boost::shared_ptr<MatrixDouble>(shared_from_this(), &plasticStrain);
  }
  inline auto getPlasticStrainDotPtr() {
    return boost::shared_ptr<MatrixDouble>(shared_from_this(),
                                           &plasticStrainDot);
  }
  inline auto getPlasticFlowPtr() {
    return boost::shared_ptr<MatrixDouble>(shared_from_this(), &plasticFlow);
  }
 
  static std::array<int, 5> activityData;
};
 
std::array<int, 5> CommonData::activityData = {0, 0, 0, 0, 0};
 
//! [Common data]
 
 
FTensor::Index<'I', 3> I;
FTensor::Index<'J', 3> J;
FTensor::Index<'M', 3> M;
FTensor::Index<'N', 3> N;
 
template <int DIM, IntegrationType I, typename DomainEleOp>
struct OpCalculatePlasticSurfaceImpl;
 
template <int DIM, IntegrationType I, typename DomainEleOp>
struct OpCalculatePlasticityImpl;
 
template <int DIM, IntegrationType I, typename DomainEleOp>
struct OpPlasticStressImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowRhsImpl;
 
template <IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsRhsImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticInternalForceLhs_dEPImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowLhs_dUImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowLhs_LogStrain_dUImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowLhs_dEPImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculatePlasticFlowLhs_dTAUImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsLhs_dUImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsLhs_LogStrain_dUImpl;
 
template <int DIM, IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsLhs_dEPImpl;
 
template <IntegrationType I, typename AssemblyDomainEleOp>
struct OpCalculateConstraintsLhs_dTAUImpl;
 
template <typename DomainEleOp> struct PlasticityIntegrators {
  template <int DIM, IntegrationType I>
  using OpCalculatePlasticSurface =
      OpCalculatePlasticSurfaceImpl<DIM, I, DomainEleOp>;
 
  template <int DIM, IntegrationType I>
  using OpCalculatePlasticity = OpCalculatePlasticityImpl<DIM, I, DomainEleOp>;
 
  template <int DIM, IntegrationType I>
  using OpPlasticStress = OpPlasticStressImpl<DIM, I, DomainEleOp>;
 
  template <AssemblyType A> struct Assembly {
 
    using AssemblyDomainEleOp =
        typename FormsIntegrators<DomainEleOp>::template Assembly<A>::OpBase;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticFlowRhs =
        OpCalculatePlasticFlowRhsImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <IntegrationType I>
    using OpCalculateConstraintsRhs =
        OpCalculateConstraintsRhsImpl<I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticInternalForceLhs_dEP =
        OpCalculatePlasticInternalForceLhs_dEPImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticInternalForceLhs_LogStrain_dEP =
        OpCalculatePlasticInternalForceLhs_LogStrain_dEPImpl<
            DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticFlowLhs_dU =
        OpCalculatePlasticFlowLhs_dUImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticFlowLhs_LogStrain_dU =
        OpCalculatePlasticFlowLhs_LogStrain_dUImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticFlowLhs_dEP =
        OpCalculatePlasticFlowLhs_dEPImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculatePlasticFlowLhs_dTAU =
        OpCalculatePlasticFlowLhs_dTAUImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculateConstraintsLhs_dU =
        OpCalculateConstraintsLhs_dUImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculateConstraintsLhs_LogStrain_dU =
        OpCalculateConstraintsLhs_LogStrain_dUImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <int DIM, IntegrationType I>
    using OpCalculateConstraintsLhs_dEP =
        OpCalculateConstraintsLhs_dEPImpl<DIM, I, AssemblyDomainEleOp>;
 
    template <IntegrationType I>
    using OpCalculateConstraintsLhs_dTAU =
        OpCalculateConstraintsLhs_dTAUImpl<I, AssemblyDomainEleOp>;
 
  };
};
 
}; // namespace PlasticOps
 
#include <PlasticOpsGeneric.hpp>
#include <PlasticOpsSmallStrains.hpp>
#include <PlasticOpsLargeStrains.hpp>
#include <PlasticOpsMonitor.hpp>
 
namespace PlasticOps {
 
using Pip = boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator>;
using CommonPlasticPtr = boost::shared_ptr<PlasticOps::CommonData>;
using CommonHenckyPtr = boost::shared_ptr<HenckyOps::CommonData>;
 
template <int DIM>
MoFEMErrorCode
addMatBlockOps(MoFEM::Interface &m_field, std::string block_name, Pip &pip,
               boost::shared_ptr<MatrixDouble> mat_D_Ptr,
               boost::shared_ptr<CommonData::BlockParams> mat_params_ptr,
               double scale_value, Sev sev) {
  MoFEMFunctionBegin;
 
  struct OpMatBlocks : public DomainEleOp {
    OpMatBlocks(boost::shared_ptr<MatrixDouble> m_D_ptr,
                boost::shared_ptr<CommonData::BlockParams> mat_params_ptr,
                double scale_value, MoFEM::Interface &m_field, Sev sev,
                std::vector<const CubitMeshSets *> meshset_vec_ptr)
        : DomainEleOp(NOSPACE, DomainEleOp::OPSPACE), matDPtr(m_D_ptr),
          matParamsPtr(mat_params_ptr), scaleVal(scale_value) {
      CHK_THROW_MESSAGE(extractBlockData(m_field, meshset_vec_ptr, sev),
                        "Can not get data from block");
    }
 
    MoFEMErrorCode doWork(int side, EntityType type,
                          EntitiesFieldData::EntData &data) {
      MoFEMFunctionBegin;
 
      auto getK = [](auto &p) {
        auto young_modulus = p[CommonData::YOUNG_MODULUS];
        auto poisson_ratio = p[CommonData::POISSON_RATIO];
        return young_modulus / (3 * (1 - 2 * poisson_ratio));
      };
 
      auto getG = [](auto &p) {
        auto young_modulus = p[CommonData::YOUNG_MODULUS];
        auto poisson_ratio = p[CommonData::POISSON_RATIO];
        return young_modulus / (2 * (1 + poisson_ratio));
      };
 
      auto scale_fun = [this](auto &p) {
        p[CommonData::YOUNG_MODULUS] *= scaleVal;
        p[CommonData::SIGMA_Y] *= scaleVal;
        p[CommonData::H] *= scaleVal;
        p[CommonData::VIS_H] *= scaleVal;
        p[CommonData::QINF] *= scaleVal;
        p[CommonData::C1_k] *= scaleVal;
      };
 
      for (auto &b : blockData) {
        if (b.blockEnts.find(getFEEntityHandle()) != b.blockEnts.end()) {
          *matParamsPtr = b.bParams;
          scale_fun(*matParamsPtr);
          CHKERR getMatDPtr(matDPtr, getK(*matParamsPtr), getG(*matParamsPtr));
          MoFEMFunctionReturnHot(0);
        }
      }
 
      (*matParamsPtr) = {young_modulus, poisson_ratio, sigmaY, H,
                         visH,          Qinf,          b_iso,  C1_k};
      scale_fun(*matParamsPtr);
      CHKERR getMatDPtr(matDPtr, getK(*matParamsPtr), getG(*matParamsPtr));
 
      MoFEMFunctionReturn(0);
    }
 
  private:
    boost::shared_ptr<MatrixDouble> matDPtr;
    boost::shared_ptr<CommonData::BlockParams> matParamsPtr;
    const double scaleVal;
 
    struct BlockData {
      std::array<double, CommonData::LAST_PARAM> bParams;
      Range blockEnts;
    };
    std::vector<BlockData> blockData;
 
    /**
     * @brief Extract block data from meshsets
     *
     * @param m_field
     * @param meshset_vec_ptr
     * @param sev
     * @return MoFEMErrorCode
     */
    MoFEMErrorCode
    extractBlockData(MoFEM::Interface &m_field,
                     std::vector<const CubitMeshSets *> meshset_vec_ptr,
                     Sev sev) {
      MoFEMFunctionBegin;
 
      for (auto m : meshset_vec_ptr) {
        MOFEM_TAG_AND_LOG("WORLD", sev, "MatBlock") << *m;
        std::vector<double> block_data;
        CHKERR m->getAttributes(block_data);
        if (block_data.size() != CommonData::LAST_PARAM) {
          SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                  "Wrong number of block attribute");
        }
        auto get_block_ents = [&]() {
          Range ents;
          CHKERR m_field.get_moab().get_entities_by_handle(m->meshset, ents,
                                                           true);
          return ents;
        };
 
        CommonData::BlockParams block_params;
        for (auto i = 0; i != CommonData::LAST_PARAM; ++i) {
          block_params[i] = block_data[i];
        }
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "MatBlock")
            << "E = " << block_params[CommonData::YOUNG_MODULUS]
            << " nu = " << block_params[CommonData::POISSON_RATIO];
        MOFEM_TAG_AND_LOG("WORLD", sev, "MatBlock")
            << std::endl
            << "sigma_y = " << block_params[CommonData::SIGMA_Y] << std::endl
            << "h = " << block_params[CommonData::H] << std::endl
            << "vis_h = " << block_params[CommonData::VIS_H] << std::endl
            << "qinf = " << block_params[CommonData::QINF] << std::endl
            << "biso = " << block_params[CommonData::BISO] << std::endl
            << "C1_k = " << block_params[CommonData::C1_k] << std::endl;
 
        blockData.push_back({block_params, get_block_ents()});
      }
      MOFEM_LOG_CHANNEL("WORLD");
      MoFEMFunctionReturn(0);
    }
 
    /**
     * @brief Get elasticity tensor
     *
     * Calculate elasticity tensor for given material parameters
     *
     * @param mat_D_ptr
     * @param bulk_modulus_K
     * @param shear_modulus_G
     * @return MoFEMErrorCode
     *
     */
    MoFEMErrorCode getMatDPtr(boost::shared_ptr<MatrixDouble> mat_D_ptr,
                              double bulk_modulus_K, double shear_modulus_G) {
      MoFEMFunctionBegin;
      //! [Calculate elasticity tensor]
      auto set_material_stiffness = [&]() {
        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_symmetric<int>();
        double A = (DIM == 2)
                       ? 2 * shear_modulus_G /
                             (bulk_modulus_K + (4. / 3.) * shear_modulus_G)
                       : 1;
        auto t_D = getFTensor4DdgFromMat<DIM, DIM, 0>(*mat_D_ptr);
        t_D(i, j, k, l) =
            2 * shear_modulus_G * ((t_kd(i, k) ^ t_kd(j, l)) / 4.) +
            A * (bulk_modulus_K - (2. / 3.) * shear_modulus_G) * t_kd(i, j) *
                t_kd(k, l);
      };
      //! [Calculate elasticity tensor]
      constexpr auto size_symm = (DIM * (DIM + 1)) / 2;
      mat_D_ptr->resize(size_symm * size_symm, 1);
      set_material_stiffness();
      MoFEMFunctionReturn(0);
    }
  };
 
  // push operator to calculate material stiffness matrix for each block
  pip.push_back(new OpMatBlocks(
      mat_D_Ptr, mat_params_ptr, scale_value, m_field, sev,
 
      // Get blockset using regular expression
      m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
          (boost::format("%s(.*)") % block_name).str()
 
              ))
 
          ));
 
  MoFEMFunctionReturn(0);
}
 
template <int DIM, IntegrationType I, typename DomainEleOp>
auto createCommonPlasticOps(
    MoFEM::Interface &m_field, std::string block_name,
    boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pip,
    std::string u, std::string ep, std::string tau, double scale, Sev sev) {
 
  using P = PlasticityIntegrators<DomainEleOp>;
 
  auto common_plastic_ptr = boost::make_shared<PlasticOps::CommonData>();
  common_plastic_ptr = boost::make_shared<PlasticOps::CommonData>();
 
  constexpr auto size_symm = (DIM * (DIM + 1)) / 2;
  auto make_d_mat = []() {
    return boost::make_shared<MatrixDouble>(size_symm * size_symm, 1);
  };
 
  common_plastic_ptr->mDPtr = make_d_mat();
  common_plastic_ptr->mGradPtr = boost::make_shared<MatrixDouble>();
  common_plastic_ptr->mStrainPtr = boost::make_shared<MatrixDouble>();
  common_plastic_ptr->mStressPtr = boost::make_shared<MatrixDouble>();
 
  auto m_D_ptr = common_plastic_ptr->mDPtr;
 
  CHK_THROW_MESSAGE(addMatBlockOps<DIM>(m_field, block_name, pip, m_D_ptr,
                                        common_plastic_ptr->getParamsPtr(),
                                        scale, sev),
                    "add mat block ops");
 
  pip.push_back(new OpCalculateScalarFieldValues(
      tau, common_plastic_ptr->getPlasticTauPtr()));
  pip.push_back(new OpCalculateTensor2SymmetricFieldValues<DIM>(
      ep, common_plastic_ptr->getPlasticStrainPtr()));
  pip.push_back(new OpCalculateVectorFieldGradient<DIM, DIM>(
      u, common_plastic_ptr->mGradPtr));
 
  CommonHenckyPtr common_hencky_ptr;
 
  if (is_large_strains) {
    common_hencky_ptr = boost::make_shared<HenckyOps::CommonData>();
    common_hencky_ptr->matGradPtr = common_plastic_ptr->mGradPtr;
    common_hencky_ptr->matDPtr = common_plastic_ptr->mDPtr;
    common_hencky_ptr->matLogCPlastic =
        common_plastic_ptr->getPlasticStrainPtr();
    common_plastic_ptr->mStrainPtr = common_hencky_ptr->getMatLogC();
    common_plastic_ptr->mStressPtr = common_hencky_ptr->getMatHenckyStress();
 
    using H = HenckyOps::HenckyIntegrators<DomainEleOp>;
 
    pip.push_back(new typename H::template OpCalculateEigenVals<DIM, I>(
        u, common_hencky_ptr));
    pip.push_back(
        new typename H::template OpCalculateLogC<DIM, I>(u, common_hencky_ptr));
    pip.push_back(new typename H::template OpCalculateLogC_dC<DIM, I>(
        u, common_hencky_ptr));
    pip.push_back(
        new typename H::template OpCalculateHenckyPlasticStress<DIM, I, 0>(
            u, common_hencky_ptr, m_D_ptr));
    pip.push_back(new typename H::template OpCalculatePiolaStress<DIM, I, 0>(
        u, common_hencky_ptr));
  } else {
 
    pip.push_back(new OpSymmetrizeTensor<SPACE_DIM>(
        common_plastic_ptr->mGradPtr, common_plastic_ptr->mStrainPtr));
    pip.push_back(new typename P::template OpPlasticStress<DIM, I>(
        common_plastic_ptr, m_D_ptr));
  }
 
  pip.push_back(new typename P::template OpCalculatePlasticSurface<DIM, I>(
      u, common_plastic_ptr));
 
  return std::make_tuple(common_plastic_ptr, common_hencky_ptr);
}
 
template <int DIM, AssemblyType A, IntegrationType I, typename DomainEleOp>
MoFEMErrorCode
opFactoryDomainRhs(MoFEM::Interface &m_field, std::string block_name, Pip &pip,
                   std::string u, std::string ep, std::string tau) {
  MoFEMFunctionBegin;
 
  using B = typename FormsIntegrators<DomainEleOp>::template Assembly<
      A>::template LinearForm<I>;
  using OpInternalForceCauchy =
      typename B::template OpGradTimesSymTensor<1, DIM, DIM>;
  using OpInternalForcePiola =
      typename B::template OpGradTimesTensor<1, DIM, DIM>;
 
  using P = PlasticityIntegrators<DomainEleOp>;
 
  auto [common_plastic_ptr, common_hencky_ptr] =
      createCommonPlasticOps<DIM, I, DomainEleOp>(m_field, block_name, pip, u,
                                                  ep, tau, scale, Sev::inform);
 
  auto m_D_ptr = common_plastic_ptr->mDPtr;
 
  pip.push_back(new OpCalculateTensor2SymmetricFieldValuesDot<DIM>(
      ep, common_plastic_ptr->getPlasticStrainDotPtr()));
  pip.push_back(new OpCalculateScalarFieldValuesDot(
      tau, common_plastic_ptr->getPlasticTauDotPtr()));
  pip.push_back(new typename P::template OpCalculatePlasticity<DIM, I>(
      u, common_plastic_ptr, m_D_ptr));
 
  // Calculate internal forces
  if (common_hencky_ptr) {
    pip.push_back(new OpInternalForcePiola(
        u, common_hencky_ptr->getMatFirstPiolaStress()));
  } else {
    pip.push_back(new OpInternalForceCauchy(u, common_plastic_ptr->mStressPtr));
  }
 
  pip.push_back(
      new
      typename P::template Assembly<A>::template OpCalculateConstraintsRhs<I>(
          tau, common_plastic_ptr, m_D_ptr));
  pip.push_back(
      new typename P::template Assembly<A>::template OpCalculatePlasticFlowRhs<
          DIM, I>(ep, common_plastic_ptr, m_D_ptr));
 
  MoFEMFunctionReturn(0);
}
 
template <int DIM, AssemblyType A, IntegrationType I, typename DomainEleOp>
MoFEMErrorCode
opFactoryDomainLhs(MoFEM::Interface &m_field, std::string block_name, Pip &pip,
                   std::string u, std::string ep, std::string tau) {
  MoFEMFunctionBegin;
 
  using namespace HenckyOps;
 
  using B = typename FormsIntegrators<DomainEleOp>::template Assembly<
      A>::template BiLinearForm<I>;
  using OpKPiola = typename B::template OpGradTensorGrad<1, DIM, DIM, 1>;
  using OpKCauchy = typename B::template OpGradSymTensorGrad<1, DIM, DIM, 0>;
 
  using P = PlasticityIntegrators<DomainEleOp>;
 
  auto [common_plastic_ptr, common_hencky_ptr] =
      createCommonPlasticOps<DIM, I, DomainEleOp>(m_field, block_name, pip, u,
                                                  ep, tau, scale, Sev::verbose);
 
  auto m_D_ptr = common_plastic_ptr->mDPtr;
 
  pip.push_back(new OpCalculateTensor2SymmetricFieldValuesDot<DIM>(
      ep, common_plastic_ptr->getPlasticStrainDotPtr()));
  pip.push_back(new OpCalculateScalarFieldValuesDot(
      tau, common_plastic_ptr->getPlasticTauDotPtr()));
  pip.push_back(new typename P::template OpCalculatePlasticity<DIM, I>(
      u, common_plastic_ptr, m_D_ptr));
 
  if (common_hencky_ptr) {
    using H = HenckyOps::HenckyIntegrators<DomainEleOp>;
    pip.push_back(new typename H::template OpHenckyTangent<DIM, I, 0>(
        u, common_hencky_ptr, m_D_ptr));
    pip.push_back(new OpKPiola(u, u, common_hencky_ptr->getMatTangent()));
    pip.push_back(
        new typename P::template Assembly<A>::
            template OpCalculatePlasticInternalForceLhs_LogStrain_dEP<DIM, I>(
                u, ep, common_plastic_ptr, common_hencky_ptr, m_D_ptr));
  } else {
    pip.push_back(new OpKCauchy(u, u, m_D_ptr));
    pip.push_back(new typename P::template Assembly<A>::
                      template OpCalculatePlasticInternalForceLhs_dEP<DIM, I>(
                          u, ep, common_plastic_ptr, m_D_ptr));
  }
 
  if (common_hencky_ptr) {
    pip.push_back(
        new typename P::template Assembly<A>::
            template OpCalculateConstraintsLhs_LogStrain_dU<DIM, I>(
                tau, u, common_plastic_ptr, common_hencky_ptr, m_D_ptr));
    pip.push_back(
        new typename P::template Assembly<A>::
            template OpCalculatePlasticFlowLhs_LogStrain_dU<DIM, I>(
                ep, u, common_plastic_ptr, common_hencky_ptr, m_D_ptr));
  } else {
    pip.push_back(
        new
        typename P::template Assembly<A>::template OpCalculateConstraintsLhs_dU<
            DIM, I>(tau, u, common_plastic_ptr, m_D_ptr));
    pip.push_back(
        new
        typename P::template Assembly<A>::template OpCalculatePlasticFlowLhs_dU<
            DIM, I>(ep, u, common_plastic_ptr, m_D_ptr));
  }
 
  pip.push_back(
      new
      typename P::template Assembly<A>::template OpCalculatePlasticFlowLhs_dEP<
          DIM, I>(ep, ep, common_plastic_ptr, m_D_ptr));
  pip.push_back(
      new
      typename P::template Assembly<A>::template OpCalculatePlasticFlowLhs_dTAU<
          DIM, I>(ep, tau, common_plastic_ptr, m_D_ptr));
  pip.push_back(
      new
      typename P::template Assembly<A>::template OpCalculateConstraintsLhs_dEP<
          DIM, I>(tau, ep, common_plastic_ptr, m_D_ptr));
  pip.push_back(
      new
      typename P::template Assembly<A>::template OpCalculateConstraintsLhs_dTAU<
          I>(tau, tau, common_plastic_ptr));
 
  MoFEMFunctionReturn(0);
}
 
template <int DIM, AssemblyType A, IntegrationType I, typename DomainEleOp>
MoFEMErrorCode opFactoryDomainReactions(MoFEM::Interface &m_field,
                                        std::string block_name, Pip &pip,
                                        std::string u, std::string ep,
                                        std::string tau) {
  MoFEMFunctionBegin;
 
  using B = typename FormsIntegrators<DomainEleOp>::template Assembly<
      A>::template LinearForm<I>;
  using OpInternalForceCauchy =
      typename B::template OpGradTimesSymTensor<1, DIM, DIM>;
  using OpInternalForcePiola =
      typename B::template OpGradTimesTensor<1, DIM, DIM>;
 
  auto [common_plastic_ptr, common_hencky_ptr] =
      createCommonPlasticOps<DIM, I, DomainEleOp>(m_field, block_name, pip, u,
                                                  ep, tau, 1., Sev::inform);
 
  // Calculate internal forces
  if (common_hencky_ptr) {
    pip.push_back(new OpInternalForcePiola(
        u, common_hencky_ptr->getMatFirstPiolaStress()));
  } else {
    pip.push_back(new OpInternalForceCauchy(u, common_plastic_ptr->mStressPtr));
  }
 
  MoFEMFunctionReturn(0);
}
 
} // namespace PlasticOps