OGS
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim > Class Template Reference

Detailed Description

template<typename ShapeFunction, int DisplacementDim>
class ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >

Local assembler of ThermoMechanics process.

In this assembler, the solid density can be expressed as an exponential function of temperature, if a temperature dependent solid density is assumed. The theory behind this is given below.

During the temperature variation, the solid mass balance is

\[ \rho_s^{n+1} V^{n+1} = \rho_s^n V^n, \]

with \(\rho_s\) the density, \(V\), the volume, and \(n\) the index of the time step. Under pure thermo-mechanics condition, the volume change along with the temperature change is given by

\[ V^{n+1} = V^{n} + \alpha_T dT V^{n} = (1+\alpha_T dT)V^{n}, \]

where \(\alpha_T\) is the volumetric thermal expansivity of the solid. This gives

\[ \rho_s^{n+1} + \alpha_T dT \rho_s^{n+1} = \rho_s^n. \]

Therefore, we obtain the differential expression of the temperature dependent solid density as

\[ \frac{d \rho_s}{d T} = -\alpha_T \rho_s. \]

The solution of the above ODE, i.e the density expression, is given by

\[ \rho_s = {\rho_0} \mathrm{exp} (- \alpha_T (T-T0)), \]

with reference density \(\rho_0\) at a reference temperature of \(T_0\).

An MPL property with the type of Exponential (see MaterialPropertyLib::Exponential) can be used for the temperature dependent solid property.

Definition at line 120 of file ThermoMechanicsFEM.h.

#include <ThermoMechanicsFEM.h>

Inheritance diagram for ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >:
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Collaboration diagram for ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >:
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Public Types

using ShapeMatricesType
using ShapeMatrices = typename ShapeMatricesType::ShapeMatrices
using GlobalDimMatrixType = typename ShapeMatricesType::GlobalDimMatrixType
using BMatricesType = BMatrixPolicyType<ShapeFunction, DisplacementDim>
using Invariants = MathLib::KelvinVector::Invariants<KelvinVectorSize>
using NodalForceVectorType = typename BMatricesType::NodalForceVectorType
using RhsVector
using JacobianMatrix
using IpData

Public Member Functions

 ThermoMechanicsLocalAssembler (ThermoMechanicsLocalAssembler const &)=delete
 ThermoMechanicsLocalAssembler (ThermoMechanicsLocalAssembler &&)=delete
 ThermoMechanicsLocalAssembler (MeshLib::Element const &e, std::size_t const, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, ThermoMechanicsProcessData< DisplacementDim > &process_data)
std::size_t setIPDataInitialConditions (std::string_view const name, double const *values, int const integration_order) override
 Returns number of read integration points.
void assemble (double const, double const, std::vector< double > const &, std::vector< double > const &, std::vector< double > &, std::vector< double > &, std::vector< double > &) override
void assembleWithJacobianForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data) override
void assembleWithJacobian (double const t, double const dt, std::vector< double > const &local_x, std::vector< double > const &local_x_prev, std::vector< double > &local_rhs_data, std::vector< double > &local_Jac_data) override
void initializeConcrete () override
void setInitialConditionsConcrete (Eigen::VectorXd const local_x, double const t, int const process_id) override
void postTimestepConcrete (Eigen::VectorXd const &, Eigen::VectorXd const &, double const, double const, int const) override
Eigen::Map< const Eigen::RowVectorXd > getShapeMatrix (const unsigned integration_point) const override
 Provides the shape matrix at the given integration point.
int getNumberOfVectorElementsForDeformation () const override
Public Member Functions inherited from ProcessLib::LocalAssemblerInterface
virtual ~LocalAssemblerInterface ()=default
virtual void setInitialConditions (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, double const t, int const process_id)
virtual void initialize (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table)
virtual void preAssemble (double const, double const, std::vector< double > const &)
virtual void assembleForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_M_data, std::vector< double > &local_K_data, std::vector< double > &local_b_data)
virtual void computeSecondaryVariable (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id)
virtual void preTimestep (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table, GlobalVector const &x, double const t, double const delta_t)
virtual void postTimestep (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
void postNonLinearSolver (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
virtual Eigen::Vector3d getFlux (MathLib::Point3d const &, double const, std::vector< double > const &) const
virtual Eigen::Vector3d getFlux (MathLib::Point3d const &, double const, std::vector< std::vector< double > > const &) const
 Fits to staggered scheme.
Public Member Functions inherited from NumLib::ExtrapolatableElement
virtual ~ExtrapolatableElement ()=default

Static Public Attributes

static int const KelvinVectorSize

Private Member Functions

void assembleWithJacobianForDeformationEquations (const double t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
void assembleWithJacobianForHeatConductionEquations (const double t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
std::size_t setSigma (double const *values)
std::vector< double > getSigma () const override
std::vector< double > const & getIntPtSigma (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
std::size_t setEpsilon (double const *values)
std::vector< double > getEpsilon () const override
std::vector< double > const & getIntPtEpsilon (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
std::vector< double > const & getIntPtEpsilonMechanical (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
std::size_t setEpsilonMechanical (double const *values)
std::vector< double > getEpsilonMechanical () const override
unsigned getNumberOfIntegrationPoints () const override
int getMaterialID () const override
MaterialLib::Solids::MechanicsBase< DisplacementDim >::MaterialStateVariables const & getMaterialStateVariablesAt (unsigned integration_point) const override

Private Attributes

ThermoMechanicsProcessData< DisplacementDim > & _process_data
std::vector< IpData, Eigen::aligned_allocator< IpData > > _ip_data
NumLib::GenericIntegrationMethod const & _integration_method
MeshLib::Element const & _element
SecondaryData< typename ShapeMatrices::ShapeType > _secondary_data
bool const _is_axially_symmetric

Static Private Attributes

static const int temperature_index = 0
static const int temperature_size = ShapeFunction::NPOINTS
static const int displacement_index = ShapeFunction::NPOINTS
static const int displacement_size

Member Typedef Documentation

◆ BMatricesType

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::BMatricesType = BMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 131 of file ThermoMechanicsFEM.h.

◆ GlobalDimMatrixType

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::GlobalDimMatrixType = typename ShapeMatricesType::GlobalDimMatrixType

Definition at line 130 of file ThermoMechanicsFEM.h.

◆ Invariants

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::Invariants = MathLib::KelvinVector::Invariants<KelvinVectorSize>

Definition at line 135 of file ThermoMechanicsFEM.h.

◆ IpData

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::IpData
Initial value:
IntegrationPointData<BMatricesType, ShapeMatricesType, DisplacementDim>

Definition at line 143 of file ThermoMechanicsFEM.h.

◆ JacobianMatrix

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::JacobianMatrix
Initial value:
typename ShapeMatricesType::template MatrixType<
ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim,
ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim>

Definition at line 140 of file ThermoMechanicsFEM.h.

◆ NodalForceVectorType

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::NodalForceVectorType = typename BMatricesType::NodalForceVectorType

Definition at line 137 of file ThermoMechanicsFEM.h.

◆ RhsVector

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::RhsVector
Initial value:
typename ShapeMatricesType::template VectorType<
ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim>

Definition at line 138 of file ThermoMechanicsFEM.h.

◆ ShapeMatrices

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::ShapeMatrices = typename ShapeMatricesType::ShapeMatrices

Definition at line 129 of file ThermoMechanicsFEM.h.

◆ ShapeMatricesType

template<typename ShapeFunction, int DisplacementDim>
using ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::ShapeMatricesType
Initial value:
ShapeMatrixPolicyType<ShapeFunction, DisplacementDim>
ShapeMatrixPolicyType
EigenFixedShapeMatrixPolicy< ShapeFunction, GlobalDim > ShapeMatrixPolicyType
Definition ShapeMatrixPolicy.h:134

Definition at line 124 of file ThermoMechanicsFEM.h.

Constructor & Destructor Documentation

◆ ThermoMechanicsLocalAssembler() [1/3]

template<typename ShapeFunction, int DisplacementDim>
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::ThermoMechanicsLocalAssembler ( ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim > const & )
delete

References ThermoMechanicsLocalAssembler().

Referenced by ThermoMechanicsLocalAssembler(), and ThermoMechanicsLocalAssembler().

◆ ThermoMechanicsLocalAssembler() [2/3]

template<typename ShapeFunction, int DisplacementDim>
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::ThermoMechanicsLocalAssembler ( ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim > && )
delete

References ThermoMechanicsLocalAssembler().

◆ ThermoMechanicsLocalAssembler() [3/3]

template<typename ShapeFunction, int DisplacementDim>
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::ThermoMechanicsLocalAssembler ( MeshLib::Element const & e,
std::size_t const ,
NumLib::GenericIntegrationMethod const & integration_method,
bool const is_axially_symmetric,
ThermoMechanicsProcessData< DisplacementDim > & process_data )

Definition at line 18 of file ThermoMechanicsFEM-impl.h.

25 : _process_data(process_data),
26 _integration_method(integration_method),
27 _element(e),
28 _is_axially_symmetric(is_axially_symmetric)
29{
30 unsigned const n_integration_points =
31 _integration_method.getNumberOfPoints();
32
33 _ip_data.reserve(n_integration_points);
34 _secondary_data.N.resize(n_integration_points);
35
36 auto const shape_matrices =
37 NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
38 DisplacementDim>(e, is_axially_symmetric,
39 _integration_method);
40
41 auto& solid_material = MaterialLib::Solids::selectSolidConstitutiveRelation(
42 _process_data.solid_materials, _process_data.material_ids, e.getID());
43
44 for (unsigned ip = 0; ip < n_integration_points; ip++)
45 {
46 _ip_data.emplace_back(solid_material);
47 auto& ip_data = _ip_data[ip];
48 ip_data.integration_weight =
49 _integration_method.getWeightedPoint(ip).getWeight() *
50 shape_matrices[ip].integralMeasure * shape_matrices[ip].detJ;
51
52 static const int kelvin_vector_size =
53 MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
54 // Initialize current time step values
55 ip_data.sigma.setZero(kelvin_vector_size);
56 ip_data.eps.setZero(kelvin_vector_size);
57
58 // Previous time step values are not initialized and are set later.
59 ip_data.sigma_prev.resize(kelvin_vector_size);
60 ip_data.eps_prev.resize(kelvin_vector_size);
61
62 ip_data.eps_m.setZero(kelvin_vector_size);
63 ip_data.eps_m_prev.setZero(kelvin_vector_size);
64 ParameterLib::SpatialPosition x_position;
65 x_position.setElementID(_element.getID());
66 ip_data.N = shape_matrices[ip].N;
67 ip_data.dNdx = shape_matrices[ip].dNdx;
68
69 _secondary_data.N[ip] = shape_matrices[ip].N;
70 }
71}
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::_secondary_data
SecondaryData< typename ShapeMatrices::ShapeType > _secondary_data
Definition ThermoMechanicsFEM.h:354
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::ShapeMatricesType
ShapeMatrixPolicyType< ShapeFunction, DisplacementDim > ShapeMatricesType
Definition ThermoMechanicsFEM.h:124
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::_process_data
ThermoMechanicsProcessData< DisplacementDim > & _process_data
Definition ThermoMechanicsFEM.h:348
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::_integration_method
NumLib::GenericIntegrationMethod const & _integration_method
Definition ThermoMechanicsFEM.h:352
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::_ip_data
std::vector< IpData, Eigen::aligned_allocator< IpData > > _ip_data
Definition ThermoMechanicsFEM.h:350
MaterialLib::Solids::selectSolidConstitutiveRelation
auto & selectSolidConstitutiveRelation(SolidMaterialsMap const &constitutive_relations, MeshLib::PropertyVector< int > const *const material_ids, std::size_t const element_id)
Definition SelectSolidConstitutiveRelation.h:30
MathLib::KelvinVector::kelvin_vector_dimensions
constexpr int kelvin_vector_dimensions(int const displacement_dim)
Kelvin vector dimensions for given displacement dimension.
Definition KelvinVector.h:18

References _element, _integration_method, _ip_data, _is_axially_symmetric, _process_data, _secondary_data, MeshLib::Element::getID(), NumLib::initShapeMatrices(), MathLib::KelvinVector::kelvin_vector_dimensions(), MaterialLib::Solids::selectSolidConstitutiveRelation(), and ParameterLib::SpatialPosition::setElementID().

Member Function Documentation

◆ assemble()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assemble ( double const ,
double const ,
std::vector< double > const & ,
std::vector< double > const & ,
std::vector< double > & ,
std::vector< double > & ,
std::vector< double > &  )
inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 163 of file ThermoMechanicsFEM.h.

169 {
170 OGS_FATAL(
171 "ThermoMechanicsLocalAssembler: assembly without jacobian is not "
172 "implemented.");
173 }
OGS_FATAL
#define OGS_FATAL(...)
Definition Error.h:19

References OGS_FATAL.

◆ assembleWithJacobian()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian ( double const t,
double const dt,
std::vector< double > const & local_x,
std::vector< double > const & local_x_prev,
std::vector< double > & local_rhs_data,
std::vector< double > & local_Jac_data )
overridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 140 of file ThermoMechanicsFEM-impl.h.

146{
147 auto const local_matrix_size = local_x.size();
148 assert(local_matrix_size == temperature_size + displacement_size);
149
150 auto T = Eigen::Map<typename ShapeMatricesType::template VectorType<
151 temperature_size> const>(local_x.data() + temperature_index,
152 temperature_size);
153
154 auto u = Eigen::Map<typename ShapeMatricesType::template VectorType<
155 displacement_size> const>(local_x.data() + displacement_index,
156 displacement_size);
157 bool const is_u_non_zero = u.norm() > 0.0;
158
159 auto T_prev = Eigen::Map<typename ShapeMatricesType::template VectorType<
160 temperature_size> const>(local_x_prev.data() + temperature_index,
161 temperature_size);
162
163 auto local_Jac = MathLib::createZeroedMatrix<JacobianMatrix>(
164 local_Jac_data, local_matrix_size, local_matrix_size);
165
166 auto local_rhs = MathLib::createZeroedVector<RhsVector>(local_rhs_data,
167 local_matrix_size);
168
169 typename ShapeMatricesType::template MatrixType<displacement_size,
170 temperature_size>
171 KuT;
172 KuT.setZero(displacement_size, temperature_size);
173
174 typename ShapeMatricesType::NodalMatrixType KTT;
175 KTT.setZero(temperature_size, temperature_size);
176
177 typename ShapeMatricesType::NodalMatrixType DTT;
178 DTT.setZero(temperature_size, temperature_size);
179
180 unsigned const n_integration_points =
181 _integration_method.getNumberOfPoints();
182
183 MPL::VariableArray variables;
184 MPL::VariableArray variables_prev;
185 ParameterLib::SpatialPosition x_position;
186 x_position.setElementID(_element.getID());
187
188 auto const& medium = _process_data.media_map.getMedium(_element.getID());
189 auto const& solid_phase = medium->phase("Solid");
190
191 for (unsigned ip = 0; ip < n_integration_points; ip++)
192 {
193 auto const& w = _ip_data[ip].integration_weight;
194 auto const& N = _ip_data[ip].N;
195 auto const& dNdx = _ip_data[ip].dNdx;
196
197 ParameterLib::SpatialPosition const x_position{
198 std::nullopt, _element.getID(),
199 MathLib::Point3d(NumLib::interpolateCoordinates<ShapeFunction,
200 ShapeMatricesType>(
201 _element, N))};
202
203 auto const x_coord = x_position.getCoordinates().value()[0];
204 auto const& B =
205 LinearBMatrix::computeBMatrix<DisplacementDim,
206 ShapeFunction::NPOINTS,
207 typename BMatricesType::BMatrixType>(
208 dNdx, N, x_coord, _is_axially_symmetric);
209
210 auto& sigma = _ip_data[ip].sigma;
211 auto const& sigma_prev = _ip_data[ip].sigma_prev;
212
213 auto& eps = _ip_data[ip].eps;
214 auto const& eps_prev = _ip_data[ip].eps_prev;
215
216 auto& eps_m = _ip_data[ip].eps_m;
217 auto const& eps_m_prev = _ip_data[ip].eps_m_prev;
218
219 auto& state = _ip_data[ip].material_state_variables;
220
221 const double T_ip = N.dot(T); // T at integration point
222 double const T_prev_ip = N.dot(T_prev);
223
224 // Consider also anisotropic thermal expansion.
225 auto const solid_linear_thermal_expansivity_vector =
226 MPL::formKelvinVector<DisplacementDim>(
227 solid_phase
228 .property(
229 MaterialPropertyLib::PropertyType::thermal_expansivity)
230 .value(variables, x_position, t, dt));
231
232 MathLib::KelvinVector::KelvinVectorType<DisplacementDim> const
233 dthermal_strain =
234 solid_linear_thermal_expansivity_vector * (T_ip - T_prev_ip);
235
236 //
237 // displacement equation, displacement part
238 //
239 // For the restart computation, the displacement may not be
240 // reloaded but the initial strains are always available. For such case,
241 // the following computation is skipped.
242 if (is_u_non_zero)
243 {
244 eps.noalias() = B * u;
245 }
246
247 eps_m.noalias() = eps_m_prev + eps - eps_prev - dthermal_strain;
248
249 variables_prev.stress
250 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
251 sigma_prev);
252 variables_prev.mechanical_strain
253 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
254 eps_m_prev);
255 variables_prev.temperature = T_ip;
256 variables.mechanical_strain
257 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
258 eps_m);
259 variables.temperature = T_ip;
260
261 auto&& solution = _ip_data[ip].solid_material.integrateStress(
262 variables_prev, variables, t, x_position, dt, *state);
263
264 if (!solution)
265 {
266 OGS_FATAL("Computation of local constitutive relation failed.");
267 }
268
269 MathLib::KelvinVector::KelvinMatrixType<DisplacementDim> C;
270 std::tie(sigma, state, C) = std::move(*solution);
271
272 local_Jac
273 .template block<displacement_size, displacement_size>(
274 displacement_index, displacement_index)
275 .noalias() += B.transpose() * C * B * w;
276
277 typename ShapeMatricesType::template MatrixType<DisplacementDim,
278 displacement_size>
279 N_u = ShapeMatricesType::template MatrixType<
280 DisplacementDim, displacement_size>::Zero(DisplacementDim,
281 displacement_size);
282
283 for (int i = 0; i < DisplacementDim; ++i)
284 {
285 N_u.template block<1, displacement_size / DisplacementDim>(
286 i, i * displacement_size / DisplacementDim)
287 .noalias() = N;
288 }
289
290 auto const rho_s =
291 solid_phase.property(MPL::PropertyType::density)
292 .template value<double>(variables, x_position, t, dt);
293
294 auto const& b = _process_data.specific_body_force;
295 local_rhs.template block<displacement_size, 1>(displacement_index, 0)
296 .noalias() -=
297 (B.transpose() * sigma - N_u.transpose() * rho_s * b) * w;
298
299 //
300 // displacement equation, temperature part
301 // The computation of KuT can be ignored.
302 auto const alpha_T_tensor =
303 MathLib::KelvinVector::kelvinVectorToSymmetricTensor(
304 solid_linear_thermal_expansivity_vector);
305 KuT.noalias() += B.transpose() * (C * alpha_T_tensor) * N * w;
306
307 if (_ip_data[ip].solid_material.getConstitutiveModel() ==
308 MaterialLib::Solids::ConstitutiveModel::CreepBGRa)
309 {
310 auto const s = Invariants::deviatoric_projection * sigma;
311 double const norm_s = Invariants::FrobeniusNorm(s);
312 const double creep_coefficient =
313 _ip_data[ip].solid_material.getTemperatureRelatedCoefficient(
314 t, dt, x_position, T_ip, norm_s);
315 KuT.noalias() += creep_coefficient * B.transpose() * s * N * w;
316 }
317
318 //
319 // temperature equation, temperature part;
320 //
321 auto const lambda =
322 solid_phase
323 .property(
324 MaterialPropertyLib::PropertyType::thermal_conductivity)
325 .value(variables, x_position, t, dt);
326
327 GlobalDimMatrixType const thermal_conductivity =
328 MaterialPropertyLib::formEigenTensor<DisplacementDim>(lambda);
329
330 KTT.noalias() += dNdx.transpose() * thermal_conductivity * dNdx * w;
331
332 auto const c =
333 solid_phase
334 .property(
335 MaterialPropertyLib::PropertyType::specific_heat_capacity)
336 .template value<double>(variables, x_position, t, dt);
337 DTT.noalias() += N.transpose() * rho_s * c * N * w;
338 }
339
340 // temperature equation, temperature part
341 local_Jac
342 .template block<temperature_size, temperature_size>(temperature_index,
343 temperature_index)
344 .noalias() += KTT + DTT / dt;
345
346 // displacement equation, temperature part
347 local_Jac
348 .template block<displacement_size, temperature_size>(displacement_index,
349 temperature_index)
350 .noalias() -= KuT;
351
352 local_rhs.template block<temperature_size, 1>(temperature_index, 0)
353 .noalias() -= KTT * T + DTT * (T - T_prev) / dt;
354}
ProcessLib::BMatrixPolicyType::BMatrixType
MatrixType< _kelvin_vector_size, _number_of_dof > BMatrixType
Definition BMatrixPolicy.h:48
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::GlobalDimMatrixType
typename ShapeMatricesType::GlobalDimMatrixType GlobalDimMatrixType
Definition ThermoMechanicsFEM.h:130
MaterialPropertyLib::formEigenTensor
constexpr Eigen::Matrix< double, GlobalDim, GlobalDim > formEigenTensor(MaterialPropertyLib::PropertyDataType const &values)
Definition FormEigenTensor.h:163
MaterialPropertyLib::formKelvinVector
MathLib::KelvinVector::KelvinVectorType< GlobalDim > formKelvinVector(MaterialPropertyLib::PropertyDataType const &values)
A function to form a Kelvin vector from strain or stress alike property like thermal expansivity for ...
Definition FormKelvinVector.cpp:74
MathLib::KelvinVector::kelvinVectorToSymmetricTensor
Eigen::Matrix< double, 4, 1 > kelvinVectorToSymmetricTensor(Eigen::Matrix< double, 4, 1, Eigen::ColMajor, 4, 1 > const &v)
Definition KelvinVector.cpp:135
MathLib::createZeroedVector
Eigen::Map< Vector > createZeroedVector(std::vector< double > &data, Eigen::VectorXd::Index size)
Definition EigenMapTools.h:146
MathLib::createZeroedMatrix
Eigen::Map< Matrix > createZeroedMatrix(std::vector< double > &data, Eigen::MatrixXd::Index rows, Eigen::MatrixXd::Index cols)
Definition EigenMapTools.h:25
EigenFixedShapeMatrixPolicy::NodalMatrixType
MatrixType< ShapeFunction::NPOINTS, ShapeFunction::NPOINTS > NodalMatrixType
Definition ShapeMatrixPolicy.h:67
MathLib::KelvinVector::Invariants::FrobeniusNorm
static double FrobeniusNorm(Eigen::Matrix< double, KelvinVectorSize, 1 > const &deviatoric_v)
Get the norm of the deviatoric stress.
Definition KelvinVector-impl.h:20
MathLib::KelvinVector::Invariants::deviatoric_projection
static Eigen::Matrix< double, KelvinVectorSize, KelvinVectorSize > const deviatoric_projection
Definition KelvinVector.h:95

References _element, _integration_method, _ip_data, _is_axially_symmetric, _process_data, ProcessLib::LinearBMatrix::computeBMatrix(), MathLib::createZeroedMatrix(), MathLib::createZeroedVector(), MaterialLib::Solids::CreepBGRa, MaterialPropertyLib::density, MathLib::KelvinVector::Invariants< KelvinVectorSize >::deviatoric_projection, displacement_index, displacement_size, MaterialPropertyLib::formEigenTensor(), MaterialPropertyLib::formKelvinVector(), MathLib::KelvinVector::Invariants< KelvinVectorSize >::FrobeniusNorm(), ParameterLib::SpatialPosition::getCoordinates(), NumLib::interpolateCoordinates(), MathLib::KelvinVector::kelvinVectorToSymmetricTensor(), MaterialPropertyLib::VariableArray::mechanical_strain, OGS_FATAL, ParameterLib::SpatialPosition::setElementID(), MaterialPropertyLib::specific_heat_capacity, MaterialPropertyLib::VariableArray::stress, MaterialPropertyLib::VariableArray::temperature, temperature_index, temperature_size, MaterialPropertyLib::thermal_conductivity, and MaterialPropertyLib::thermal_expansivity.

◆ assembleWithJacobianForDeformationEquations()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForDeformationEquations ( const double t,
double const dt,
Eigen::VectorXd const & local_x,
Eigen::VectorXd const & local_x_prev,
std::vector< double > & local_b_data,
std::vector< double > & local_Jac_data )
private

Assemble local matrices and vectors arise from the linearized discretized weak form of the residual of the momentum balance equation,

\[ \nabla (\sigma - \mathbf{D} \alpha_T (T-T_0) \mathrm{I}) = f \]

where \( \sigma\) is the effective stress tensor, \(\mathbf{D}\) is the tangential operator, \(T\) is the temperature, \(T_0\) is the initial temperature, \(\alpha_T\) is the linear thermal expansion, \(\mathrm{I}\) is the identity tensor, and \(f\) is the body force.

Parameters
tTime
dtTime increment
local_xNodal values of \(x\) of all processes of an element.
local_x_prevNodal values of \(x_{prev}\) of all processes of an element.
local_b_dataRight hand side vector of an element.
local_Jac_dataElement Jacobian matrix for the Newton-Raphson method.

Definition at line 379 of file ThermoMechanicsFEM-impl.h.

384{
385 auto const local_T =
386 local_x.template segment<temperature_size>(temperature_index);
387
388 auto const local_T_prev =
389 local_x_prev.template segment<temperature_size>(temperature_index);
390
391 auto const local_u =
392 local_x.template segment<displacement_size>(displacement_index);
393 bool const is_u_non_zero = local_u.norm() > 0.0;
394
395 auto local_Jac = MathLib::createZeroedMatrix<
396 typename ShapeMatricesType::template MatrixType<displacement_size,
397 displacement_size>>(
398 local_Jac_data, displacement_size, displacement_size);
399
400 auto local_rhs = MathLib::createZeroedVector<
401 typename ShapeMatricesType::template VectorType<displacement_size>>(
402 local_b_data, displacement_size);
403
404 unsigned const n_integration_points =
405 _integration_method.getNumberOfPoints();
406
407 MPL::VariableArray variables;
408 MPL::VariableArray variables_prev;
409 auto const& medium = _process_data.media_map.getMedium(_element.getID());
410 auto const& solid_phase = medium->phase("Solid");
411
412 for (unsigned ip = 0; ip < n_integration_points; ip++)
413 {
414 auto const& w = _ip_data[ip].integration_weight;
415 auto const& N = _ip_data[ip].N;
416 auto const& dNdx = _ip_data[ip].dNdx;
417
418 ParameterLib::SpatialPosition const x_position{
419 std::nullopt, _element.getID(),
420 MathLib::Point3d(NumLib::interpolateCoordinates<ShapeFunction,
421 ShapeMatricesType>(
422 _element, N))};
423
424 auto const x_coord = x_position.getCoordinates().value()[0];
425
426 auto const& B =
427 LinearBMatrix::computeBMatrix<DisplacementDim,
428 ShapeFunction::NPOINTS,
429 typename BMatricesType::BMatrixType>(
430 dNdx, N, x_coord, _is_axially_symmetric);
431
432 auto& sigma = _ip_data[ip].sigma;
433 auto const& sigma_prev = _ip_data[ip].sigma_prev;
434
435 auto& eps = _ip_data[ip].eps;
436 auto const& eps_prev = _ip_data[ip].eps_prev;
437
438 auto& eps_m = _ip_data[ip].eps_m;
439 auto const& eps_m_prev = _ip_data[ip].eps_m_prev;
440
441 auto& state = _ip_data[ip].material_state_variables;
442
443 const double T_ip = N.dot(local_T); // T at integration point
444 variables.temperature = T_ip;
445 double const dT_ip = T_ip - N.dot(local_T_prev);
446
447 //
448 // displacement equation, displacement part
449 //
450 // For the restart computation, the displacement may not be
451 // reloaded but the initial strains are always available. For such case,
452 // the following computation is skipped.
453 if (is_u_non_zero)
454 {
455 eps.noalias() = B * local_u;
456 }
457
458 // Consider also anisotropic thermal expansion.
459 auto const solid_linear_thermal_expansivity_vector =
460 MPL::formKelvinVector<DisplacementDim>(
461 solid_phase
462 .property(
463 MaterialPropertyLib::PropertyType::thermal_expansivity)
464 .value(variables, x_position, t, dt));
465
466 MathLib::KelvinVector::KelvinVectorType<DisplacementDim> const
467 dthermal_strain = solid_linear_thermal_expansivity_vector * dT_ip;
468
469 eps_m.noalias() = eps_m_prev + eps - eps_prev - dthermal_strain;
470
471 variables_prev.stress
472 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
473 sigma_prev);
474 variables_prev.mechanical_strain
475 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
476 eps_m_prev);
477 variables_prev.temperature = T_ip;
478 variables.mechanical_strain
479 .emplace<MathLib::KelvinVector::KelvinVectorType<DisplacementDim>>(
480 eps_m);
481
482 auto&& solution = _ip_data[ip].solid_material.integrateStress(
483 variables_prev, variables, t, x_position, dt, *state);
484
485 if (!solution)
486 {
487 OGS_FATAL("Computation of local constitutive relation failed.");
488 }
489
490 MathLib::KelvinVector::KelvinMatrixType<DisplacementDim> C;
491 std::tie(sigma, state, C) = std::move(*solution);
492
493 local_Jac.noalias() += B.transpose() * C * B * w;
494
495 typename ShapeMatricesType::template MatrixType<DisplacementDim,
496 displacement_size>
497 N_u = ShapeMatricesType::template MatrixType<
498 DisplacementDim, displacement_size>::Zero(DisplacementDim,
499 displacement_size);
500
501 for (int i = 0; i < DisplacementDim; ++i)
502 {
503 N_u.template block<1, displacement_size / DisplacementDim>(
504 i, i * displacement_size / DisplacementDim)
505 .noalias() = N;
506 }
507
508 auto const rho_s =
509 solid_phase.property(MPL::PropertyType::density)
510 .template value<double>(variables, x_position, t, dt);
511
512 auto const& b = _process_data.specific_body_force;
513 local_rhs.noalias() -=
514 (B.transpose() * sigma - N_u.transpose() * rho_s * b) * w;
515 }
516}

References _element, _integration_method, _ip_data, _is_axially_symmetric, _process_data, ProcessLib::LinearBMatrix::computeBMatrix(), MathLib::createZeroedMatrix(), MathLib::createZeroedVector(), MaterialPropertyLib::density, displacement_index, displacement_size, MaterialPropertyLib::formKelvinVector(), ParameterLib::SpatialPosition::getCoordinates(), NumLib::interpolateCoordinates(), MaterialPropertyLib::VariableArray::mechanical_strain, OGS_FATAL, MaterialPropertyLib::VariableArray::stress, MaterialPropertyLib::VariableArray::temperature, temperature_index, and MaterialPropertyLib::thermal_expansivity.

Referenced by assembleWithJacobianForStaggeredScheme().

◆ assembleWithJacobianForHeatConductionEquations()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForHeatConductionEquations ( const double t,
double const dt,
Eigen::VectorXd const & local_x,
Eigen::VectorXd const & local_x_prev,
std::vector< double > & local_b_data,
std::vector< double > & local_Jac_data )
private

Assemble local matrices and vectors arise from the linearized discretized weak form of the residual of the energy balance equation,

\[ \rho c_p \cdot{T} - \nabla (\mathbf{K} (\nabla T) = Q_T \]

where \( rho\) is the solid density, \( c_p\) is the specific heat capacity, \( \mathbf{K} \) is the thermal conductivity, and \( Q_T\) is the source/sink term.

Parameters
tTime
dtTime increment
local_xNodal values of \(x\) of all processes of an element.
local_x_prevNodal values of \(x_{prev}\) of all processes of an element.
local_b_dataRight hand side vector of an element.
local_Jac_dataElement Jacobian matrix for the Newton-Raphson method.

Definition at line 519 of file ThermoMechanicsFEM-impl.h.

524{
525 auto const local_T =
526 local_x.template segment<temperature_size>(temperature_index);
527
528 auto const local_T_prev =
529 local_x_prev.template segment<temperature_size>(temperature_index);
530
531 auto local_Jac = MathLib::createZeroedMatrix<
532 typename ShapeMatricesType::template MatrixType<temperature_size,
533 temperature_size>>(
534 local_Jac_data, temperature_size, temperature_size);
535
536 auto local_rhs = MathLib::createZeroedVector<
537 typename ShapeMatricesType::template VectorType<temperature_size>>(
538 local_b_data, temperature_size);
539
540 typename ShapeMatricesType::NodalMatrixType mass;
541 mass.setZero(temperature_size, temperature_size);
542
543 typename ShapeMatricesType::NodalMatrixType laplace;
544 laplace.setZero(temperature_size, temperature_size);
545
546 unsigned const n_integration_points =
547 _integration_method.getNumberOfPoints();
548
549 auto const& medium = _process_data.media_map.getMedium(_element.getID());
550 auto const& solid_phase = medium->phase("Solid");
551 MPL::VariableArray variables;
552
553 for (unsigned ip = 0; ip < n_integration_points; ip++)
554 {
555 auto const& w = _ip_data[ip].integration_weight;
556 auto const& N = _ip_data[ip].N;
557 auto const& dNdx = _ip_data[ip].dNdx;
558
559 ParameterLib::SpatialPosition const x_position{
560 std::nullopt, _element.getID(),
561 MathLib::Point3d(NumLib::interpolateCoordinates<ShapeFunction,
562 ShapeMatricesType>(
563 _element, N))};
564
565 const double T_ip = N.dot(local_T); // T at integration point
566 variables.temperature = T_ip;
567
568 auto const rho_s =
569 solid_phase.property(MPL::PropertyType::density)
570 .template value<double>(variables, x_position, t, dt);
571 auto const c_p =
572 solid_phase.property(MPL::PropertyType::specific_heat_capacity)
573 .template value<double>(variables, x_position, t, dt);
574
575 mass.noalias() += N.transpose() * rho_s * c_p * N * w;
576
577 auto const lambda =
578 solid_phase
579 .property(
580 MaterialPropertyLib::PropertyType::thermal_conductivity)
581 .value(variables, x_position, t, dt);
582
583 GlobalDimMatrixType const thermal_conductivity =
584 MaterialPropertyLib::formEigenTensor<DisplacementDim>(lambda);
585
586 laplace.noalias() += dNdx.transpose() * thermal_conductivity * dNdx * w;
587 }
588 local_Jac.noalias() += laplace + mass / dt;
589
590 local_rhs.noalias() -=
591 laplace * local_T + mass * (local_T - local_T_prev) / dt;
592}

References _element, _integration_method, _ip_data, _process_data, MathLib::createZeroedMatrix(), MathLib::createZeroedVector(), MaterialPropertyLib::density, MaterialPropertyLib::formEigenTensor(), NumLib::interpolateCoordinates(), MaterialPropertyLib::specific_heat_capacity, MaterialPropertyLib::VariableArray::temperature, temperature_index, temperature_size, and MaterialPropertyLib::thermal_conductivity.

Referenced by assembleWithJacobianForStaggeredScheme().

◆ assembleWithJacobianForStaggeredScheme()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForStaggeredScheme ( double const t,
double const dt,
Eigen::VectorXd const & local_x,
Eigen::VectorXd const & local_x_prev,
int const process_id,
std::vector< double > & local_b_data,
std::vector< double > & local_Jac_data )
overridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 357 of file ThermoMechanicsFEM-impl.h.

364{
365 // For the equations with pressure
366 if (process_id == _process_data.heat_conduction_process_id)
367 {
368 assembleWithJacobianForHeatConductionEquations(
369 t, dt, local_x, local_x_prev, local_b_data, local_Jac_data);
370 return;
371 }
372
373 // For the equations with deformation
374 assembleWithJacobianForDeformationEquations(t, dt, local_x, local_x_prev,
375 local_b_data, local_Jac_data);
376}
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::assembleWithJacobianForHeatConductionEquations
void assembleWithJacobianForHeatConductionEquations(const double t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
Definition ThermoMechanicsFEM-impl.h:520
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::assembleWithJacobianForDeformationEquations
void assembleWithJacobianForDeformationEquations(const double t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
Definition ThermoMechanicsFEM-impl.h:380

References _process_data, assembleWithJacobianForDeformationEquations(), and assembleWithJacobianForHeatConductionEquations().

◆ getEpsilon()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getEpsilon ( ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 638 of file ThermoMechanicsFEM-impl.h.

639{
640 constexpr int kelvin_vector_size =
641 MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
642
643 return transposeInPlace<kelvin_vector_size>(
644 [this](std::vector<double>& values)
645 { return getIntPtEpsilon(0, {}, {}, values); });
646}
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::getIntPtEpsilon
std::vector< double > const & getIntPtEpsilon(const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
Definition ThermoMechanicsFEM-impl.h:650
ProcessLib::transposeInPlace
std::vector< double > transposeInPlace(StoreValuesFunction const &store_values_function)
Definition TransposeInPlace.h:17

References getEpsilon(), getIntPtEpsilon(), MathLib::KelvinVector::kelvin_vector_dimensions(), and ProcessLib::transposeInPlace().

Referenced by getEpsilon().

◆ getEpsilonMechanical()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getEpsilonMechanical ( ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 682 of file ThermoMechanicsFEM-impl.h.

683{
684 constexpr int kelvin_vector_size =
685 MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
686
687 return transposeInPlace<kelvin_vector_size>(
688 [this](std::vector<double>& values)
689 { return getIntPtEpsilonMechanical(0, {}, {}, values); });
690}
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::getIntPtEpsilonMechanical
std::vector< double > const & getIntPtEpsilonMechanical(const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
Definition ThermoMechanicsFEM-impl.h:663

References getEpsilonMechanical(), getIntPtEpsilonMechanical(), MathLib::KelvinVector::kelvin_vector_dimensions(), and ProcessLib::transposeInPlace().

Referenced by getEpsilonMechanical().

◆ getIntPtEpsilon()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > const & ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getIntPtEpsilon ( const double t,
std::vector< GlobalVector * > const & x,
std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table,
std::vector< double > & cache ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 650 of file ThermoMechanicsFEM-impl.h.

655{
656 return ProcessLib::getIntegrationPointKelvinVectorData<DisplacementDim>(
657 _ip_data, &IpData::eps, cache);
658}
ProcessLib::getIntegrationPointKelvinVectorData
std::vector< double > const & getIntegrationPointKelvinVectorData(IntegrationPointDataVector const &ip_data_vector, MemberType IpData::*const member, std::vector< double > &cache)
Definition SetOrGetIntegrationPointData.h:60

References _ip_data, ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::eps, and ProcessLib::getIntegrationPointKelvinVectorData().

Referenced by getEpsilon().

◆ getIntPtEpsilonMechanical()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > const & ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getIntPtEpsilonMechanical ( const double t,
std::vector< GlobalVector * > const & x,
std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table,
std::vector< double > & cache ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 662 of file ThermoMechanicsFEM-impl.h.

668{
669 return ProcessLib::getIntegrationPointKelvinVectorData<DisplacementDim>(
670 _ip_data, &IpData::eps_m, cache);
671}

References _ip_data, ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::eps_m, and ProcessLib::getIntegrationPointKelvinVectorData().

Referenced by getEpsilonMechanical().

◆ getIntPtSigma()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > const & ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getIntPtSigma ( const double t,
std::vector< GlobalVector * > const & x,
std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table,
std::vector< double > & cache ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 617 of file ThermoMechanicsFEM-impl.h.

622{
623 return ProcessLib::getIntegrationPointKelvinVectorData<DisplacementDim>(
624 _ip_data, &IpData::sigma, cache);
625}

References _ip_data, ProcessLib::getIntegrationPointKelvinVectorData(), and ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::sigma.

Referenced by getSigma().

◆ getMaterialID()

template<typename ShapeFunction, int DisplacementDim>
int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getMaterialID ( ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 701 of file ThermoMechanicsFEM-impl.h.

702{
703 return _process_data.material_ids == nullptr
704 ? 0
705 : (*_process_data.material_ids)[_element.getID()];
706}

References _element, _process_data, and getMaterialID().

Referenced by getMaterialID().

◆ getMaterialStateVariablesAt()

template<typename ShapeFunction, int DisplacementDim>
MaterialLib::Solids::MechanicsBase< DisplacementDim >::MaterialStateVariables const & ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getMaterialStateVariablesAt ( unsigned integration_point) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 711 of file ThermoMechanicsFEM-impl.h.

713{
714 return *_ip_data[integration_point].material_state_variables;
715}

References _ip_data.

◆ getNumberOfIntegrationPoints()

template<typename ShapeFunction, int DisplacementDim>
unsigned ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getNumberOfIntegrationPoints ( ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 694 of file ThermoMechanicsFEM-impl.h.

695{
696 return _integration_method.getNumberOfPoints();
697}

References _integration_method, and getNumberOfIntegrationPoints().

Referenced by getNumberOfIntegrationPoints().

◆ getNumberOfVectorElementsForDeformation()

template<typename ShapeFunction, int DisplacementDim>
int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getNumberOfVectorElementsForDeformation ( ) const
inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 248 of file ThermoMechanicsFEM.h.

249 {
250 return displacement_size;
251 }

References displacement_size.

◆ getShapeMatrix()

template<typename ShapeFunction, int DisplacementDim>
Eigen::Map< const Eigen::RowVectorXd > ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getShapeMatrix ( const unsigned integration_point) const
inlineoverridevirtual

Provides the shape matrix at the given integration point.

Implements NumLib::ExtrapolatableElement.

Definition at line 239 of file ThermoMechanicsFEM.h.

241 {
242 auto const& N = _secondary_data.N[integration_point];
243
244 // assumes N is stored contiguously in memory
245 return Eigen::Map<const Eigen::RowVectorXd>(N.data(), N.size());
246 }

References _secondary_data.

◆ getSigma()

template<typename ShapeFunction, int DisplacementDim>
std::vector< double > ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::getSigma ( ) const
overrideprivatevirtual

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 605 of file ThermoMechanicsFEM-impl.h.

606{
607 constexpr int kelvin_vector_size =
608 MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
609
610 return transposeInPlace<kelvin_vector_size>(
611 [this](std::vector<double>& values)
612 { return getIntPtSigma(0, {}, {}, values); });
613}
ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler::getIntPtSigma
std::vector< double > const & getIntPtSigma(const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
Definition ThermoMechanicsFEM-impl.h:617

References getIntPtSigma(), MathLib::KelvinVector::kelvin_vector_dimensions(), and ProcessLib::transposeInPlace().

◆ initializeConcrete()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::initializeConcrete ( )
inlineoverridevirtual

Set initial stress from parameter.

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 187 of file ThermoMechanicsFEM.h.

188 {
189 unsigned const n_integration_points =
190 _integration_method.getNumberOfPoints();
191 for (unsigned ip = 0; ip < n_integration_points; ip++)
192 {
193 auto& ip_data = _ip_data[ip];
194
195 ParameterLib::SpatialPosition const x_position{
196 std::nullopt, _element.getID(),
197 MathLib::Point3d(
198 NumLib::interpolateCoordinates<ShapeFunction,
199 ShapeMatricesType>(
200 _element, ip_data.N))};
201
203 if (_process_data.initial_stress != nullptr)
204 {
205 ip_data.sigma =
206 MathLib::KelvinVector::symmetricTensorToKelvinVector<
207 DisplacementDim>((*_process_data.initial_stress)(
208 std::numeric_limits<
209 double>::quiet_NaN() /* time independent */,
210 x_position));
211 }
212
213 double const t = 0; // TODO (naumov) pass t from top
214 ip_data.solid_material.initializeInternalStateVariables(
215 t, x_position, *ip_data.material_state_variables);
216
217 ip_data.pushBackState();
218 }
219 }

References _element, _integration_method, _ip_data, _process_data, NumLib::interpolateCoordinates(), and MathLib::KelvinVector::symmetricTensorToKelvinVector().

◆ postTimestepConcrete()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete ( Eigen::VectorXd const & ,
Eigen::VectorXd const & ,
double const ,
double const ,
int const  )
inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 225 of file ThermoMechanicsFEM.h.

229 {
230 unsigned const n_integration_points =
231 _integration_method.getNumberOfPoints();
232
233 for (unsigned ip = 0; ip < n_integration_points; ip++)
234 {
235 _ip_data[ip].pushBackState();
236 }
237 }

References _integration_method, and _ip_data.

◆ setEpsilon()

template<typename ShapeFunction, int DisplacementDim>
std::size_t ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::setEpsilon ( double const * values)
private

Definition at line 629 of file ThermoMechanicsFEM-impl.h.

631{
632 return ProcessLib::setIntegrationPointKelvinVectorData<DisplacementDim>(
633 values, _ip_data, &IpData::eps);
634}
ProcessLib::setIntegrationPointKelvinVectorData
std::size_t setIntegrationPointKelvinVectorData(double const *values, IntegrationPointDataVector &ip_data_vector, MemberType IpData::*const member)
Definition SetOrGetIntegrationPointData.h:125

References _ip_data, ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::eps, and ProcessLib::setIntegrationPointKelvinVectorData().

Referenced by setIPDataInitialConditions().

◆ setEpsilonMechanical()

template<typename ShapeFunction, int DisplacementDim>
std::size_t ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::setEpsilonMechanical ( double const * values)
private

Definition at line 675 of file ThermoMechanicsFEM-impl.h.

676{
677 return ProcessLib::setIntegrationPointKelvinVectorData<DisplacementDim>(
678 values, _ip_data, &IpData::eps_m);
679}

References _ip_data, ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::eps_m, setEpsilonMechanical(), and ProcessLib::setIntegrationPointKelvinVectorData().

Referenced by setEpsilonMechanical(), and setIPDataInitialConditions().

◆ setInitialConditionsConcrete()

template<typename ShapeFunction, int DisplacementDim>
void ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::setInitialConditionsConcrete ( Eigen::VectorXd const local_x,
double const t,
int const process_id )
overridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 74 of file ThermoMechanicsFEM-impl.h.

78{
79 unsigned const n_integration_points =
80 this->_integration_method.getNumberOfPoints();
81 auto const local_u =
82 local_x.template segment<displacement_size>(displacement_index);
83
84 for (unsigned ip = 0; ip < n_integration_points; ip++)
85 {
86 auto const& N = _ip_data[ip].N;
87 auto const& dNdx = _ip_data[ip].dNdx;
88
89 ParameterLib::SpatialPosition const x_position{
90 std::nullopt, _element.getID(),
91 MathLib::Point3d(NumLib::interpolateCoordinates<ShapeFunction,
92 ShapeMatricesType>(
93 _element, N))};
94
95 auto const x_coord = x_position.getCoordinates().value()[0];
96
97 auto const& B =
98 LinearBMatrix::computeBMatrix<DisplacementDim,
99 ShapeFunction::NPOINTS,
100 typename BMatricesType::BMatrixType>(
101 dNdx, N, x_coord, _is_axially_symmetric);
102
103 _ip_data[ip].eps.noalias() = B * local_u;
104 }
105}

References _element, _integration_method, _ip_data, _is_axially_symmetric, ProcessLib::LinearBMatrix::computeBMatrix(), displacement_index, ParameterLib::SpatialPosition::getCoordinates(), and NumLib::interpolateCoordinates().

◆ setIPDataInitialConditions()

template<typename ShapeFunction, int DisplacementDim>
std::size_t ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::setIPDataInitialConditions ( std::string_view const name,
double const * values,
int const integration_order )
overridevirtual

Returns number of read integration points.

Implements ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssemblerInterface< DisplacementDim >.

Definition at line 108 of file ThermoMechanicsFEM-impl.h.

112{
113 if (integration_order !=
114 static_cast<int>(_integration_method.getIntegrationOrder()))
115 {
116 OGS_FATAL(
117 "Setting integration point initial conditions; The integration "
118 "order of the local assembler for element {:d} is different from "
119 "the integration order in the initial condition.",
120 _element.getID());
121 }
122
123 if (name == "sigma")
124 {
125 return setSigma(values);
126 }
127 if (name == "epsilon")
128 {
129 return setEpsilon(values);
130 }
131 if (name == "epsilon_m")
132 {
133 return setEpsilonMechanical(values);
134 }
135
136 return 0;
137}

References _element, _integration_method, OGS_FATAL, setEpsilon(), setEpsilonMechanical(), and setSigma().

◆ setSigma()

template<typename ShapeFunction, int DisplacementDim>
std::size_t ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::setSigma ( double const * values)
private

Definition at line 596 of file ThermoMechanicsFEM-impl.h.

598{
599 return ProcessLib::setIntegrationPointKelvinVectorData<DisplacementDim>(
600 values, _ip_data, &IpData::sigma);
601}

References _ip_data, ProcessLib::setIntegrationPointKelvinVectorData(), and ProcessLib::ThermoMechanics::IntegrationPointData< BMatricesType, ShapeMatricesType, DisplacementDim >::sigma.

Referenced by setIPDataInitialConditions().

Member Data Documentation

◆ _element

template<typename ShapeFunction, int DisplacementDim>
MeshLib::Element const& ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_element
private

Definition at line 353 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), assembleWithJacobianForHeatConductionEquations(), getMaterialID(), initializeConcrete(), setInitialConditionsConcrete(), and setIPDataInitialConditions().

◆ _integration_method

template<typename ShapeFunction, int DisplacementDim>
NumLib::GenericIntegrationMethod const& ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_integration_method
private

Definition at line 352 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), assembleWithJacobianForHeatConductionEquations(), getNumberOfIntegrationPoints(), initializeConcrete(), postTimestepConcrete(), setInitialConditionsConcrete(), and setIPDataInitialConditions().

◆ _ip_data

template<typename ShapeFunction, int DisplacementDim>
std::vector<IpData, Eigen::aligned_allocator<IpData> > ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data
private

Definition at line 350 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), assembleWithJacobianForHeatConductionEquations(), getIntPtEpsilon(), getIntPtEpsilonMechanical(), getIntPtSigma(), getMaterialStateVariablesAt(), initializeConcrete(), postTimestepConcrete(), setEpsilon(), setEpsilonMechanical(), setInitialConditionsConcrete(), and setSigma().

◆ _is_axially_symmetric

template<typename ShapeFunction, int DisplacementDim>
bool const ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_is_axially_symmetric
private

Definition at line 355 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), and setInitialConditionsConcrete().

◆ _process_data

template<typename ShapeFunction, int DisplacementDim>
ThermoMechanicsProcessData<DisplacementDim>& ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_process_data
private

Definition at line 348 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), assembleWithJacobianForHeatConductionEquations(), assembleWithJacobianForStaggeredScheme(), getMaterialID(), and initializeConcrete().

◆ _secondary_data

template<typename ShapeFunction, int DisplacementDim>
SecondaryData<typename ShapeMatrices::ShapeType> ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::_secondary_data
private

Definition at line 354 of file ThermoMechanicsFEM.h.

Referenced by ThermoMechanicsLocalAssembler(), and getShapeMatrix().

◆ displacement_index

template<typename ShapeFunction, int DisplacementDim>
const int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::displacement_index = ShapeFunction::NPOINTS
staticprivate

Definition at line 359 of file ThermoMechanicsFEM.h.

Referenced by assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), and setInitialConditionsConcrete().

◆ displacement_size

template<typename ShapeFunction, int DisplacementDim>
const int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::displacement_size
staticprivate
Initial value:
=
ShapeFunction::NPOINTS * DisplacementDim

Definition at line 360 of file ThermoMechanicsFEM.h.

Referenced by assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), and getNumberOfVectorElementsForDeformation().

◆ KelvinVectorSize

template<typename ShapeFunction, int DisplacementDim>
int const ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::KelvinVectorSize
static
Initial value:
=
MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim)

Definition at line 133 of file ThermoMechanicsFEM.h.

◆ temperature_index

template<typename ShapeFunction, int DisplacementDim>
const int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::temperature_index = 0
staticprivate

Definition at line 357 of file ThermoMechanicsFEM.h.

Referenced by assembleWithJacobian(), assembleWithJacobianForDeformationEquations(), and assembleWithJacobianForHeatConductionEquations().

◆ temperature_size

template<typename ShapeFunction, int DisplacementDim>
const int ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::temperature_size = ShapeFunction::NPOINTS
staticprivate

Definition at line 358 of file ThermoMechanicsFEM.h.

Referenced by assembleWithJacobian(), and assembleWithJacobianForHeatConductionEquations().

The documentation for this class was generated from the following files: