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Public Member Functions | Public Attributes | List of all members
NonlinearElasticElement::OpJacobianPiolaKirchhoffStress Struct Reference

Operator performs automatic differentiation. More...

#include <users_modules/basic_finite_elements/src/NonLinearElasticElement.hpp>

Inheritance diagram for NonlinearElasticElement::OpJacobianPiolaKirchhoffStress:
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Collaboration diagram for NonlinearElasticElement::OpJacobianPiolaKirchhoffStress:
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Public Member Functions

 OpJacobianPiolaKirchhoffStress (const std::string field_name, BlockData &data, CommonData &common_data, int tag, bool jacobian, bool ale, bool field_disp)
 Construct operator to calculate Piola-Kirchhoff stress or its derivatives over gradient deformation. More...
 
virtual MoFEMErrorCode calculateStress (const int gg)
 Calculate Paola-Kirchhoff I stress. More...
 
virtual MoFEMErrorCode recordTag (const int gg)
 Record ADOL-C tape. More...
 
virtual MoFEMErrorCode playTag (const int gg)
 Play ADOL-C tape. More...
 
virtual bool recordTagForIntegrationPoint (const int gg)
 Cgeck if tape is recorded for given integration point. More...
 
MoFEMErrorCode doWork (int row_side, EntityType row_type, EntitiesFieldData::EntData &row_data)
 Calculate stress or jacobian at gauss points. More...
 
- Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
int getNumNodes ()
 get element number of nodes More...
 
const EntityHandlegetConn ()
 get element connectivity More...
 
double getVolume () const
 element volume (linear geometry) More...
 
doublegetVolume ()
 element volume (linear geometry) More...
 
FTensor::Tensor2< double *, 3, 3 > & getJac ()
 get element Jacobian More...
 
FTensor::Tensor2< double *, 3, 3 > & getInvJac ()
 get element inverse Jacobian More...
 
VectorDoublegetCoords ()
 nodal coordinates More...
 
VolumeElementForcesAndSourcesCoregetVolumeFE () const
 return pointer to Generic Volume Finite Element object More...
 
- Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
 UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)
 
 UserDataOperator (const std::string field_name, const char type, const bool symm=true)
 
 UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)
 
boost::shared_ptr< const NumeredEntFiniteElementgetNumeredEntFiniteElementPtr () const
 Return raw pointer to NumeredEntFiniteElement. More...
 
EntityHandle getFEEntityHandle () const
 Return finite element entity handle. More...
 
int getFEDim () const
 Get dimension of finite element. More...
 
EntityType getFEType () const
 Get dimension of finite element. More...
 
boost::weak_ptr< SideNumbergetSideNumberPtr (const int side_number, const EntityType type)
 Get the side number pointer. More...
 
EntityHandle getSideEntity (const int side_number, const EntityType type)
 Get the side entity. More...
 
int getNumberOfNodesOnElement () const
 Get the number of nodes on finite element. More...
 
MoFEMErrorCode getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get row indices. More...
 
MoFEMErrorCode getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get col indices. More...
 
const FEMethodgetFEMethod () const
 Return raw pointer to Finite Element Method object. More...
 
int getOpType () const
 Get operator types. More...
 
void setOpType (const OpType type)
 Set operator type. More...
 
void addOpType (const OpType type)
 Add operator type. More...
 
int getNinTheLoop () const
 get number of finite element in the loop More...
 
int getLoopSize () const
 get size of elements in the loop More...
 
std::string getFEName () const
 Get name of the element. More...
 
ForcesAndSourcesCoregetPtrFE () const
 
ForcesAndSourcesCoregetSidePtrFE () const
 
ForcesAndSourcesCoregetRefinePtrFE () const
 
const PetscData::SwitchesgetDataCtx () const
 
const KspMethod::KSPContext getKSPCtx () const
 
const SnesMethod::SNESContext getSNESCtx () const
 
const TSMethod::TSContext getTSCtx () const
 
Vec getKSPf () const
 
Mat getKSPA () const
 
Mat getKSPB () const
 
Vec getSNESf () const
 
Vec getSNESx () const
 
Mat getSNESA () const
 
Mat getSNESB () const
 
Vec getTSu () const
 
Vec getTSu_t () const
 
Vec getTSu_tt () const
 
Vec getTSf () const
 
Mat getTSA () const
 
Mat getTSB () const
 
int getTSstep () const
 
double getTStime () const
 
double getTStimeStep () const
 
double getTSa () const
 
double getTSaa () const
 
MatrixDoublegetGaussPts ()
 matrix of integration (Gauss) points for Volume Element More...
 
auto getFTensor0IntegrationWeight ()
 Get integration weights. More...
 
MatrixDoublegetCoordsAtGaussPts ()
 Gauss points and weight, matrix (nb. of points x 3) More...
 
auto getFTensor1CoordsAtGaussPts ()
 Get coordinates at integration points assuming linear geometry. More...
 
double getMeasure () const
 get measure of element More...
 
doublegetMeasure ()
 get measure of element More...
 
MoFEMErrorCode loopSide (const string &fe_name, ForcesAndSourcesCore *side_fe, const size_t dim, const EntityHandle ent_for_side=0, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User call this function to loop over elements on the side of face. This function calls finite element with is operator to do calculations. More...
 
MoFEMErrorCode loopThis (const string &fe_name, ForcesAndSourcesCore *parent_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User call this function to loop over parent elements. This function calls finite element with is operator to do calculations. More...
 
MoFEMErrorCode loopParent (const string &fe_name, ForcesAndSourcesCore *parent_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User call this function to loop over parent elements. This function calls finite element with is operator to do calculations. More...
 
MoFEMErrorCode loopChildren (const string &fe_name, ForcesAndSourcesCore *child_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User call this function to loop over parent elements. This function calls finite element with is operator to do calculations. More...
 
- Public Member Functions inherited from MoFEM::DataOperator
 DataOperator (const bool symm=true)
 
virtual ~DataOperator ()=default
 
virtual MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)
 Operator for bi-linear form, usually to calculate values on left hand side. More...
 
virtual MoFEMErrorCode opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)
 
virtual MoFEMErrorCode doWork (int side, EntityType type, EntitiesFieldData::EntData &data)
 Operator for linear form, usually to calculate values on right hand side. More...
 
virtual MoFEMErrorCode opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)
 
bool getSymm () const
 Get if operator uses symmetry of DOFs or not. More...
 
void setSymm ()
 set if operator is executed taking in account symmetry More...
 
void unSetSymm ()
 unset if operator is executed for non symmetric problem More...
 

Public Attributes

BlockDatadAta
 
CommonDatacommonData
 
int tAg
 
int adlocReturnValue
 
bool jAcobian
 if true Jacobian is calculated More...
 
bool fUnction
 if true stress i calculated More...
 
bool aLe
 true if arbitrary Lagrangian-Eulerian formulation More...
 
bool fieldDisp
 
VectorDouble activeVariables
 
int nbActiveVariables
 
std::vector< MatrixDouble > * ptrh
 
std::vector< MatrixDouble > * ptrH
 
FTensor::Index< 'i', 3 > i
 
FTensor::Index< 'j', 3 > j
 
FTensor::Index< 'k', 3 > k
 
- Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
char opType
 
std::string rowFieldName
 
std::string colFieldName
 
FieldSpace sPace
 
- Public Attributes inherited from MoFEM::DataOperator
DoWorkLhsHookFunType doWorkLhsHook
 
DoWorkRhsHookFunType doWorkRhsHook
 
bool sYmm
 If true assume that matrix is symmetric structure. More...
 
std::array< bool, MBMAXTYPE > doEntities
 If true operator is executed for entity. More...
 
booldoVertices
 \deprectaed If false skip vertices More...
 
booldoEdges
 \deprectaed If false skip edges More...
 
booldoQuads
 \deprectaed More...
 
booldoTris
 \deprectaed More...
 
booldoTets
 \deprectaed More...
 
booldoPrisms
 \deprectaed More...
 

Additional Inherited Members

- Public Types inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
enum  OpType {
  OPROW = 1 << 0 , OPCOL = 1 << 1 , OPROWCOL = 1 << 2 , OPSPACE = 1 << 3 ,
  OPLAST = 1 << 3
}
 Controls loop over entities on element. More...
 
- Public Types inherited from MoFEM::DataOperator
using DoWorkLhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)>
 
using DoWorkRhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int side, EntityType type, EntitiesFieldData::EntData &data)>
 
- Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const OpTypeNames []
 
- Protected Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
virtual MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
- Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCoreptrFE
 

Detailed Description

Operator performs automatic differentiation.

Examples
cell_forces.cpp.

Definition at line 370 of file NonLinearElasticElement.hpp.

Constructor & Destructor Documentation

◆ OpJacobianPiolaKirchhoffStress()

NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::OpJacobianPiolaKirchhoffStress ( const std::string  field_name,
BlockData data,
CommonData common_data,
int  tag,
bool  jacobian,
bool  ale,
bool  field_disp 
)

Construct operator to calculate Piola-Kirchhoff stress or its derivatives over gradient deformation.

Parameters
field_nameapproximation field name of spatial positions or displacements
datareference to block data (what is Young modulus, Poisson ratio or what elements are part of the block)
tagadol-c unique tag of the tape
jacobianif true derivative of Piola Stress is calculated otherwise just stress is calculated
field_dispif true approximation field keeps displacements not spatial positions

Definition at line 201 of file NonLinearElasticElement.cpp.

Member Function Documentation

◆ calculateStress()

MoFEMErrorCode NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::calculateStress ( const int  gg)
virtual

Calculate Paola-Kirchhoff I stress.

Returns
error code

Reimplemented in NonlinearElasticElement::OpJacobianEshelbyStress, and Smoother::OpJacobianSmoother.

Definition at line 214 of file NonLinearElasticElement.cpp.

215 {
217
218 CHKERR dAta.materialAdoublePtr->calculateP_PiolaKirchhoffI(
220
221 if (aLe) {
222 auto &t_P = dAta.materialAdoublePtr->t_P;
223 auto &t_invH = dAta.materialAdoublePtr->t_invH;
224 t_P(i, j) = t_P(i, k) * t_invH(j, k);
225 t_P(i, j) *= dAta.materialAdoublePtr->detH;
226 }
227
228 commonData.sTress[gg].resize(3, 3, false);
229 for (int dd1 = 0; dd1 < 3; dd1++) {
230 for (int dd2 = 0; dd2 < 3; dd2++) {
231 dAta.materialAdoublePtr->P(dd1, dd2) >>=
232 (commonData.sTress[gg])(dd1, dd2);
233 }
234 }
235
237}
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:346
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:416
#define CHKERR
Inline error check.
Definition: definitions.h:535
boost::shared_ptr< const NumeredEntFiniteElement > getNumeredEntFiniteElementPtr() const
Return raw pointer to NumeredEntFiniteElement.
boost::shared_ptr< FunctionsToCalculatePiolaKirchhoffI< adouble > > materialAdoublePtr
std::vector< MatrixDouble3by3 > sTress

◆ doWork()

MoFEMErrorCode NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::doWork ( int  row_side,
EntityType  row_type,
EntitiesFieldData::EntData row_data 
)

Calculate stress or jacobian at gauss points.

Parameters
row_side
row_type
row_data
Returns
error code

Definition at line 341 of file NonLinearElasticElement.cpp.

343 {
345
346 // do it only once, no need to repeat this for edges,faces or tets
347 if (row_type != MBVERTEX)
349
350 if (dAta.tEts.find(getNumeredEntFiniteElementPtr()->getEnt()) ==
351 dAta.tEts.end()) {
353 }
354
355 int nb_dofs = row_data.getFieldData().size();
356 if (nb_dofs == 0)
358 dAta.materialAdoublePtr->commonDataPtr = &commonData;
359 dAta.materialAdoublePtr->opPtr = this;
360
361 int nb_gauss_pts = row_data.getN().size1();
362 commonData.sTress.resize(nb_gauss_pts);
363 commonData.jacStress.resize(nb_gauss_pts);
364
366 if (aLe) {
368 }
369
370 for (int gg = 0; gg != nb_gauss_pts; gg++) {
371
372 dAta.materialAdoublePtr->gG = gg;
373
374 // Record tag and calculate stress
376 CHKERR recordTag(gg);
377 }
378
379 // Set active variables vector
381 activeVariables.resize(nbActiveVariables, false);
382 if (!aLe) {
383 for (int dd1 = 0; dd1 < 3; dd1++) {
384 for (int dd2 = 0; dd2 < 3; dd2++) {
385 activeVariables(dd1 * 3 + dd2) = (*ptrh)[gg](dd1, dd2);
386 }
387 }
388 } else {
389 for (int dd1 = 0; dd1 < 3; dd1++) {
390 for (int dd2 = 0; dd2 < 3; dd2++) {
391 activeVariables(dd1 * 3 + dd2) = (*ptrh)[gg](dd1, dd2);
392 }
393 }
394 for (int dd1 = 0; dd1 < 3; dd1++) {
395 for (int dd2 = 0; dd2 < 3; dd2++) {
396 activeVariables(9 + dd1 * 3 + dd2) = (*ptrH)[gg](dd1, dd2);
397 }
398 }
399 }
400 CHKERR dAta.materialAdoublePtr->setUserActiveVariables(activeVariables);
401
402 // Play tag and calculate stress or tangent
404 CHKERR playTag(gg);
405 }
406 }
407 }
408
410}
#define MoFEMFunctionReturnHot(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:447
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
const VectorDouble & getFieldData() const
get dofs values
Range tEts
constrains elements in block set
std::vector< MatrixDouble > jacStress
this is simply material tangent operator
std::map< std::string, std::vector< MatrixDouble > > gradAtGaussPts
virtual MoFEMErrorCode recordTag(const int gg)
Record ADOL-C tape.
virtual MoFEMErrorCode playTag(const int gg)
Play ADOL-C tape.
virtual bool recordTagForIntegrationPoint(const int gg)
Cgeck if tape is recorded for given integration point.

◆ playTag()

MoFEMErrorCode NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::playTag ( const int  gg)
virtual

Play ADOL-C tape.

Returns
error code

Definition at line 306 of file NonLinearElasticElement.cpp.

306 {
308
309 int r;
310
311 if (fUnction) {
312 commonData.sTress[gg].resize(3, 3, false);
313 // play recorder for values
314 r = ::function(tAg, 9, nbActiveVariables, &activeVariables[0],
315 &commonData.sTress[gg](0, 0));
316 if (r < adlocReturnValue) { // function is locally analytic
317 SETERRQ1(PETSC_COMM_SELF, MOFEM_OPERATION_UNSUCCESSFUL,
318 "ADOL-C function evaluation with error r = %d", r);
319 }
320 }
321
322 if (jAcobian) {
323 commonData.jacStress[gg].resize(9, nbActiveVariables, false);
324 double *jac_ptr[] = {
325 &(commonData.jacStress[gg](0, 0)), &(commonData.jacStress[gg](1, 0)),
326 &(commonData.jacStress[gg](2, 0)), &(commonData.jacStress[gg](3, 0)),
327 &(commonData.jacStress[gg](4, 0)), &(commonData.jacStress[gg](5, 0)),
328 &(commonData.jacStress[gg](6, 0)), &(commonData.jacStress[gg](7, 0)),
329 &(commonData.jacStress[gg](8, 0))};
330 // play recorder for jacobians
331 r = jacobian(tAg, 9, nbActiveVariables, &activeVariables[0], jac_ptr);
332 if (r < adlocReturnValue) {
333 SETERRQ(PETSC_COMM_SELF, MOFEM_OPERATION_UNSUCCESSFUL,
334 "ADOL-C function evaluation with error");
335 }
336 }
337
339}
@ MOFEM_OPERATION_UNSUCCESSFUL
Definition: definitions.h:34
#define MoFEMFunctionBeginHot
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:440
const double r
rate factor

◆ recordTag()

MoFEMErrorCode NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::recordTag ( const int  gg)
virtual

Record ADOL-C tape.

Returns
error code

Definition at line 240 of file NonLinearElasticElement.cpp.

241 {
243
244 trace_on(tAg, 0);
245
246 dAta.materialAdoublePtr->F.resize(3, 3, false);
247
248 if (!aLe) {
249
251 for (int dd1 = 0; dd1 < 3; dd1++) {
252 for (int dd2 = 0; dd2 < 3; dd2++) {
253 dAta.materialAdoublePtr->F(dd1, dd2) <<= (*ptrh)[gg](dd1, dd2);
254 if (fieldDisp) {
255 if (dd1 == dd2) {
256 dAta.materialAdoublePtr->F(dd1, dd2) += 1;
257 }
258 }
260 }
261 }
262
263 } else {
264
266
267 dAta.materialAdoublePtr->h.resize(3, 3, false);
268 for (int dd1 = 0; dd1 < 3; dd1++) {
269 for (int dd2 = 0; dd2 < 3; dd2++) {
270 dAta.materialAdoublePtr->h(dd1, dd2) <<= (*ptrh)[gg](dd1, dd2);
272 }
273 }
274
275 dAta.materialAdoublePtr->H.resize(3, 3, false);
276 for (int dd1 = 0; dd1 < 3; dd1++) {
277 for (int dd2 = 0; dd2 < 3; dd2++) {
278 dAta.materialAdoublePtr->H(dd1, dd2) <<= (*ptrH)[gg](dd1, dd2);
280 }
281 }
282
284 dAta.materialAdoublePtr->invH.resize(3, 3, false);
288
289 auto &t_F = dAta.materialAdoublePtr->t_F;
290 auto &t_h = dAta.materialAdoublePtr->t_h;
291 auto &t_invH = dAta.materialAdoublePtr->t_invH;
292
293 t_F(i, j) = t_h(i, k) * t_invH(k, j);
294
295 }
296
297 CHKERR dAta.materialAdoublePtr->setUserActiveVariables(nbActiveVariables);
299
300 trace_off();
301
303}
MoFEMErrorCode invertTensor3by3(ublas::matrix< T, L, A > &jac_data, ublas::vector< T, A > &det_data, ublas::matrix< T, L, A > &inv_jac_data)
Calculate inverse of tensor rank 2 at integration points.
Definition: Templates.hpp:1323
static auto determinantTensor3by3(T &t)
Calculate the determinant of a 3x3 matrix or a tensor of rank 2.
Definition: Templates.hpp:1312
virtual MoFEMErrorCode calculateStress(const int gg)
Calculate Paola-Kirchhoff I stress.

◆ recordTagForIntegrationPoint()

virtual bool NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::recordTagForIntegrationPoint ( const int  gg)
inlinevirtual

Cgeck if tape is recorded for given integration point.

Parameters
ggintegration point
Returns
true if tag is recorded

Definition at line 437 of file NonLinearElasticElement.hpp.

437 {
438 // return true;
439 if (gg == 0)
440 return true;
441 return false;
442 }

Member Data Documentation

◆ activeVariables

VectorDouble NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::activeVariables

Definition at line 404 of file NonLinearElasticElement.hpp.

◆ adlocReturnValue

int NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::adlocReturnValue

return value from ADOL-C, if non-zero that is error.

Definition at line 379 of file NonLinearElasticElement.hpp.

◆ aLe

bool NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::aLe

true if arbitrary Lagrangian-Eulerian formulation

Definition at line 383 of file NonLinearElasticElement.hpp.

◆ commonData

CommonData& NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::commonData

Structure keeping data abut this particular element, e.g. gradient of deformation at integration points

Definition at line 375 of file NonLinearElasticElement.hpp.

◆ dAta

BlockData& NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::dAta

Structure keeping data about problem, like material parameters

Definition at line 373 of file NonLinearElasticElement.hpp.

◆ fieldDisp

bool NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::fieldDisp

true if field of displacements is given, usually spatial positions are given.

Definition at line 384 of file NonLinearElasticElement.hpp.

◆ fUnction

bool NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::fUnction

if true stress i calculated

Definition at line 382 of file NonLinearElasticElement.hpp.

◆ i

FTensor::Index<'i', 3> NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::i

Definition at line 410 of file NonLinearElasticElement.hpp.

◆ j

FTensor::Index<'j', 3> NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::j

Definition at line 411 of file NonLinearElasticElement.hpp.

◆ jAcobian

bool NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::jAcobian

if true Jacobian is calculated

Definition at line 381 of file NonLinearElasticElement.hpp.

◆ k

FTensor::Index<'k', 3> NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::k

Definition at line 412 of file NonLinearElasticElement.hpp.

◆ nbActiveVariables

int NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::nbActiveVariables

Definition at line 405 of file NonLinearElasticElement.hpp.

◆ ptrh

std::vector<MatrixDouble>* NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::ptrh

Definition at line 407 of file NonLinearElasticElement.hpp.

◆ ptrH

std::vector<MatrixDouble>* NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::ptrH

Definition at line 408 of file NonLinearElasticElement.hpp.

◆ tAg

int NonlinearElasticElement::OpJacobianPiolaKirchhoffStress::tAg

Definition at line 378 of file NonLinearElasticElement.hpp.


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