v0.14.0
Public Member Functions | Public Attributes | List of all members
MetaSpringBC::OpSpringKs Struct Reference

LHS-operator for the springs element. More...

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

Inheritance diagram for MetaSpringBC::OpSpringKs:
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Collaboration diagram for MetaSpringBC::OpSpringKs:
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Public Member Functions

MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
 Integrates and assembles to global RHS vector virtual work of springs. More...
 
 OpSpringKs (boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings > &common_data_ptr, MetaSpringBC::BlockOptionDataSprings &data, const std::string field_name)
 
- Public Member Functions inherited from MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
double getArea ()
 get area of face More...
 
VectorDoublegetNormal ()
 get triangle normal More...
 
VectorDoublegetTangent1 ()
 get triangle tangent 1 More...
 
VectorDoublegetTangent2 ()
 get triangle tangent 2 More...
 
auto getFTensor1Normal ()
 get normal as tensor More...
 
auto getFTensor1Tangent1 ()
 get tangentOne as tensor More...
 
auto getFTensor1Tangent2 ()
 get tangentTwo as tensor More...
 
int getNumNodes ()
 get element number of nodes More...
 
const EntityHandlegetConn ()
 get element connectivity More...
 
VectorDoublegetCoords ()
 get triangle coordinates More...
 
auto getFTensor1Coords ()
 get get coords at gauss points More...
 
MatrixDoublegetNormalsAtGaussPts ()
 if higher order geometry return normals at Gauss pts. More...
 
ublas::matrix_row< MatrixDoublegetNormalsAtGaussPts (const int gg)
 if higher order geometry return normals at Gauss pts. More...
 
MatrixDoublegetTangent1AtGaussPts ()
 if higher order geometry return tangent vector to triangle at Gauss pts. More...
 
MatrixDoublegetTangent2AtGaussPts ()
 if higher order geometry return tangent vector to triangle at Gauss pts. More...
 
auto getFTensor1NormalsAtGaussPts ()
 get normal at integration points More...
 
auto getFTensor1Tangent1AtGaussPts ()
 get tangent 1 at integration points More...
 
auto getFTensor1Tangent2AtGaussPts ()
 get tangent 2 at integration points More...
 
FaceElementForcesAndSourcesCoregetFaceFE ()
 return pointer to Generic Triangle Finite Element object More...
 
MoFEMErrorCode loopSideVolumes (const string fe_name, VolumeElementForcesAndSourcesCoreOnSide &fe_method)
 
- 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, AdjCache *adj_cache=nullptr)
 User calls this function to loop over elements on the side of face. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopThis (const string &fe_name, ForcesAndSourcesCore *this_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over the same element using a different set of integration points. This function calls finite element with its 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 calls this function to loop over parent elements. This function calls finite element with its 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 calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...
 
- Public Member Functions inherited from MoFEM::DataOperator
 DataOperator (const bool symm=true)
 
virtual ~DataOperator ()=default
 
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

boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSpringscommonDataPtr
 
MetaSpringBC::BlockOptionDataSpringsdAta
 
MatrixDouble locKs
 
MatrixDouble transLocKs
 
- 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...
 
using AdjCache = std::map< EntityHandle, std::vector< boost::weak_ptr< NumeredEntFiniteElement > >>
 
- 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 Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCoreptrFE
 

Detailed Description

LHS-operator for the springs element.

Integrates Springs virtual work on spatial positions or displacements \( f_s \) derivative with respect to spatial postions or displacements on surface with springs side and assembles components of the LHS vector.

Definition at line 200 of file SpringElement.hpp.

Constructor & Destructor Documentation

◆ OpSpringKs()

MetaSpringBC::OpSpringKs::OpSpringKs ( boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings > &  common_data_ptr,
MetaSpringBC::BlockOptionDataSprings data,
const std::string  field_name 
)
inline
Parameters
common_data_ptrPointer to the common data for spring element
dataVariable containing data for normal and tangential stiffnesses of springs attached to the current element
field_nameString of field name for spatial positions or displacements for rows

Definition at line 243 of file SpringElement.hpp.

248  field_name.c_str(), field_name.c_str(), OPROWCOL),
249  commonDataPtr(common_data_ptr), dAta(data) {
250  // sYmm = false;
251  }

Member Function Documentation

◆ doWork()

MoFEMErrorCode MetaSpringBC::OpSpringKs::doWork ( int  row_side,
int  col_side,
EntityType  row_type,
EntityType  col_type,
EntData row_data,
EntData col_data 
)
virtual

Integrates and assembles to global RHS vector virtual work of springs.

*Computes virtual work of springs on spatial positions or displacements for configurational changes:

\[ \textrm{D} f_s({\mathbf x}, {\mathbf X}, \delta \mathbf{x})[\Delta \mathbf x] = \int\limits_{\partial \Omega }^{} {{\delta \mathbf{x}^T} \cdot \left[ k_{\rm n} \left( {\mathbf N} \otimes {\mathbf N} \right) + k_{\rm t} \left( {\mathbf I} - {\mathbf N} \otimes {\mathbf N} \right) \right] \Delta {\mathbf x} \partial \Omega } \]

where \( \delta \mathbf{x} \) is either virtual displacement or the variation of spatial positions, \( k_{\rm n} \) is the stiffness of the springs normal to the surface, \( k_{\rm t} \) is the stiffness of the springs tangential to the surface, \( {\mathbf N} \) is the normal to the surface vector based on material positions, \( {\mathbf x} \) is the vector of spatial positions or displacements of the surface with springs and \( {\mathbf X} \) is the vector of material positions that is zero when displacements are considered

Reimplemented from MoFEM::DataOperator.

Definition at line 116 of file SpringElement.cpp.

120  {
122  // check if the volumes have associated degrees of freedom
123  const int row_nb_dofs = row_data.getIndices().size();
124  if (!row_nb_dofs)
126 
127  const int col_nb_dofs = col_data.getIndices().size();
128  if (!col_nb_dofs)
130 
131  if (dAta.tRis.find(getFEEntityHandle()) == dAta.tRis.end()) {
133  }
134 
135  CHKERR commonDataPtr->getBlockData(dAta);
136  // size associated to the entity
137  locKs.resize(row_nb_dofs, col_nb_dofs, false);
138  locKs.clear();
139 
140  // get number of Gauss points
141  const int row_nb_gauss_pts = row_data.getN().size1();
142  if (!row_nb_gauss_pts) // check if number of Gauss point <> 0
144 
145  // get intergration weights
146  auto t_w = getFTensor0IntegrationWeight();
147 
151 
152  // create a 3d vector to be used as the normal to the face with length equal
153  // to the face area
155 
156  // First tangent vector
157  auto t_tangent1_ptr = getFTensor1Tangent1AtGaussPts();
158  FTensor::Tensor1<double, 3> t_tangent1;
159  t_tangent1(i) = t_tangent1_ptr(i);
160 
161  // Second tangent vector, such that t_n = t_t1 x t_t2 | t_t2 = t_n x t_t1
162  FTensor::Tensor1<double, 3> t_tangent2;
163  t_tangent2(i) = FTensor::levi_civita(i, j, k) * t_normal(j) * t_tangent1(k);
164 
165  auto t_tangent2_ptr = getFTensor1Tangent2AtGaussPts();
166  t_normal(i) =
167  FTensor::levi_civita(i, j, k) * t_tangent1(j) * t_tangent2_ptr(k);
168 
169  auto normal_original_slave =
170  getFTensor1FromMat<3>(commonDataPtr->normalVector);
171 
172  FTensor::Tensor2<double, 3, 3> t_normal_projection;
173  FTensor::Tensor2<double, 3, 3> t_tangent_projection;
174  // loop over the Gauss points
175  for (int gg = 0; gg != row_nb_gauss_pts; gg++) {
176  t_normal(i) = normal_original_slave(i);
177  const double normal_length = std::sqrt(t_normal(k) * t_normal(k));
178  t_normal(i) = t_normal(i) / normal_length;
179  t_normal_projection(i, j) = t_normal(i) * t_normal(j);
180  t_tangent_projection(i, j) = t_normal_projection(i, j);
181  t_tangent_projection(0, 0) -= 1;
182  t_tangent_projection(1, 1) -= 1;
183  t_tangent_projection(2, 2) -= 1;
184 
185  // get area and integration weight
186  double w = t_w * normal_length;
187  if (getNumeredEntFiniteElementPtr()->getEntType() == MBTRI) {
188  w *= 0.5;
189  }
190 
191  auto t_row_base_func = row_data.getFTensor0N(gg, 0);
192 
193  for (int rr = 0; rr != row_nb_dofs / 3; rr++) {
194  auto assemble_m = getFTensor2FromArray<3, 3, 3>(locKs, 3 * rr);
195  auto t_col_base_func = col_data.getFTensor0N(gg, 0);
196  for (int cc = 0; cc != col_nb_dofs / 3; cc++) {
197  assemble_m(i, j) += w * t_row_base_func * t_col_base_func *
198  commonDataPtr->springStiffnessNormal *
199  t_normal_projection(i, j);
200  assemble_m(i, j) -= w * t_row_base_func * t_col_base_func *
201  commonDataPtr->springStiffnessTangent *
202  t_tangent_projection(i, j);
203  ++t_col_base_func;
204  ++assemble_m;
205  }
206  ++t_row_base_func;
207  }
208  // move to next integration weight
209  ++t_w;
210  ++normal_original_slave;
211  }
212 
213  // Add computed values of spring stiffness to the global LHS matrix
214  CHKERR MatSetValues(getKSPB(), row_data, col_data, &locKs(0, 0), ADD_VALUES);
215 
216  // is symmetric
217  if (row_side != col_side || row_type != col_type) {
218  transLocKs.resize(col_nb_dofs, row_nb_dofs, false);
219  noalias(transLocKs) = trans(locKs);
220 
221  CHKERR MatSetValues(getKSPB(), col_data, row_data, &transLocKs(0, 0),
222  ADD_VALUES);
223  }
224 
226 }

Member Data Documentation

◆ commonDataPtr

boost::shared_ptr<MetaSpringBC::DataAtIntegrationPtsSprings> MetaSpringBC::OpSpringKs::commonDataPtr

Definition at line 202 of file SpringElement.hpp.

◆ dAta

MetaSpringBC::BlockOptionDataSprings& MetaSpringBC::OpSpringKs::dAta

Definition at line 203 of file SpringElement.hpp.

◆ locKs

MatrixDouble MetaSpringBC::OpSpringKs::locKs

Definition at line 205 of file SpringElement.hpp.

◆ transLocKs

MatrixDouble MetaSpringBC::OpSpringKs::transLocKs

Definition at line 206 of file SpringElement.hpp.


The documentation for this struct was generated from the following files:
MoFEMFunctionReturnHot
#define MoFEMFunctionReturnHot(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:460
MetaSpringBC::BlockOptionDataSprings::tRis
Range tRis
Definition: SpringElement.hpp:26
MoFEM::MatSetValues
MoFEMErrorCode MatSetValues(Mat M, const EntitiesFieldData::EntData &row_data, const EntitiesFieldData::EntData &col_data, const double *ptr, InsertMode iora)
Assemble PETSc matrix.
Definition: EntitiesFieldData.hpp:1644
FTensor::Tensor1< double, 3 >
MetaSpringBC::OpSpringKs::commonDataPtr
boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings > commonDataPtr
Definition: SpringElement.hpp:202
FTensor::levi_civita
constexpr std::enable_if<(Dim0<=2 &&Dim1<=2), Tensor2_Expr< Levi_Civita< T >, T, Dim0, Dim1, i, j > >::type levi_civita(const Index< i, Dim0 > &, const Index< j, Dim1 > &)
levi_civita functions to make for easy adhoc use
Definition: Levi_Civita.hpp:617
MoFEM::ForcesAndSourcesCore::UserDataOperator::OPROWCOL
@ OPROWCOL
operator doWork is executed on FE rows &columns
Definition: ForcesAndSourcesCore.hpp:569
FTensor::Tensor2< double, 3, 3 >
MoFEM::ForcesAndSourcesCore::UserDataOperator::getFTensor0IntegrationWeight
auto getFTensor0IntegrationWeight()
Get integration weights.
Definition: ForcesAndSourcesCore.hpp:1240
MoFEM::EntitiesFieldData::EntData::getFTensor0N
FTensor::Tensor0< FTensor::PackPtr< double *, 1 > > getFTensor0N(const FieldApproximationBase base)
Get base function as Tensor0.
Definition: EntitiesFieldData.hpp:1502
MetaSpringBC::OpSpringKs::locKs
MatrixDouble locKs
Definition: SpringElement.hpp:205
CHKERR
#define CHKERR
Inline error check.
Definition: definitions.h:548
MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
friend class UserDataOperator
Definition: FaceElementForcesAndSourcesCore.hpp:86
MoFEM::EntitiesFieldData::EntData::getIndices
const VectorInt & getIndices() const
Get global indices of dofs on entity.
Definition: EntitiesFieldData.hpp:1214
MoFEM::ForcesAndSourcesCore::UserDataOperator::getNumeredEntFiniteElementPtr
boost::shared_ptr< const NumeredEntFiniteElement > getNumeredEntFiniteElementPtr() const
Return raw pointer to NumeredEntFiniteElement.
Definition: ForcesAndSourcesCore.hpp:1000
MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator::getFTensor1Tangent2AtGaussPts
auto getFTensor1Tangent2AtGaussPts()
get tangent 2 at integration points
Definition: FaceElementForcesAndSourcesCore.hpp:330
i
FTensor::Index< 'i', SPACE_DIM > i
Definition: hcurl_divergence_operator_2d.cpp:27
field_name
constexpr auto field_name
Definition: poisson_2d_homogeneous.cpp:13
FTensor::Index< 'i', 3 >
MoFEM::ForcesAndSourcesCore::UserDataOperator::getFEEntityHandle
EntityHandle getFEEntityHandle() const
Return finite element entity handle.
Definition: ForcesAndSourcesCore.hpp:1004
MoFEM::EntitiesFieldData::EntData::getN
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
Definition: EntitiesFieldData.hpp:1318
j
FTensor::Index< 'j', 3 > j
Definition: matrix_function.cpp:19
MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator::getFTensor1Tangent1AtGaussPts
auto getFTensor1Tangent1AtGaussPts()
get tangent 1 at integration points
Definition: FaceElementForcesAndSourcesCore.hpp:323
sdf_wavy_2d.w
int w
Definition: sdf_wavy_2d.py:6
MetaSpringBC::OpSpringKs::dAta
MetaSpringBC::BlockOptionDataSprings & dAta
Definition: SpringElement.hpp:203
MetaSpringBC::OpSpringKs::transLocKs
MatrixDouble transLocKs
Definition: SpringElement.hpp:206
k
FTensor::Index< 'k', 3 > k
Definition: matrix_function.cpp:20
MoFEMFunctionReturn
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:429
MoFEM::ForcesAndSourcesCore::UserDataOperator::getKSPB
Mat getKSPB() const
Definition: ForcesAndSourcesCore.hpp:1104
MoFEMFunctionBegin
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:359