v0.14.0
Public Member Functions | Public Attributes | List of all members
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation Struct Reference

Constitutive (physical) equation for interface. More...

#include <users_modules/basic_finite_elements/cohesive_interface/src/CohesiveInterfaceElement.hpp>

Collaboration diagram for CohesiveElement::CohesiveInterfaceElement::PhysicalEquation:
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Public Member Functions

 PhysicalEquation (MoFEM::Interface &m_field)
 
virtual ~PhysicalEquation ()
 
MoFEMErrorCode iNitailise (const FEMethod *fe_method)
 Initialize history variable data. More...
 
double calcG (int gg, MatrixDouble gap_loc)
 Calculate gap opening. More...
 
MoFEMErrorCode getKappa (int nb_gauss_pts, const FEMethod *fe_method)
 Get pointer from the mesh to histoy variables \(\kappa\). More...
 
MoFEMErrorCode calcDglob (const double omega, MatrixDouble &R)
 Calculate stiffness material matrix. More...
 
MoFEMErrorCode calcOmega (const double kappa, double &omega)
 Calculate damage. More...
 
MoFEMErrorCode calcTangetDglob (const double omega, double g, const VectorDouble &gap_loc, MatrixDouble &R)
 Calculate tangent material stiffness. More...
 
virtual MoFEMErrorCode calculateTraction (VectorDouble &traction, int gg, CommonData &common_data, const FEMethod *fe_method)
 Calculate tractions. More...
 
virtual MoFEMErrorCode calculateTangentStiffeness (MatrixDouble &tangent_matrix, int gg, CommonData &common_data, const FEMethod *fe_method)
 Calculate tangent stiffness. More...
 
virtual MoFEMErrorCode updateHistory (CommonData &common_data, const FEMethod *fe_method)
 Update history variables when converged. More...
 

Public Attributes

MoFEM::InterfacemField
 
bool isInitialised
 
double h
 
double youngModulus
 
double beta
 
double ft
 
double Gf
 
Range pRisms
 
Tag thKappa
 
Tag thDamagedPrism
 
double E0
 
double g0
 
double kappa1
 
doublekappaPtr
 
int kappaSize
 
MatrixDouble Dglob
 
MatrixDouble Dloc
 

Detailed Description

Constitutive (physical) equation for interface.

This is linear degradation model. Material parameters are: strength \(f_t\), interface fracture energy \(G_f\), elastic material stiffness \(E\). Parameter \(\beta\) controls how interface opening is calculated.

Model parameter is interface penalty thickness \(h\).

Definition at line 51 of file CohesiveInterfaceElement.hpp.

Constructor & Destructor Documentation

◆ PhysicalEquation()

CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::PhysicalEquation ( MoFEM::Interface m_field)
inline

Definition at line 55 of file CohesiveInterfaceElement.hpp.

55  :
56  mField(m_field),isInitialised(false) {};

◆ ~PhysicalEquation()

virtual CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::~PhysicalEquation ( )
inlinevirtual

Definition at line 58 of file CohesiveInterfaceElement.hpp.

58  {
59  }

Member Function Documentation

◆ calcDglob()

MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcDglob ( const double  omega,
MatrixDouble &  R 
)
inline

Calculate stiffness material matrix.

\[ \mathbf{D}_\textrm{loc} = (1-\Omega) \mathbf{I} E_0 \]

where \(E_0\) is initial interface penalty stiffness

\[ \mathbf{D}_\textrm{glob} = \mathbf{R}^\textrm{T} \mathbf{D}_\textrm{loc}\mathbf{R} \]

Definition at line 136 of file CohesiveInterfaceElement.hpp.

136  {
138  Dglob.resize(3,3);
139  Dloc.resize(3,3);
140  Dloc.clear();
141  double E = (1-omega)*E0;
142  Dloc(0,0) = E;
143  Dloc(1,1) = E;
144  Dloc(2,2) = E;
145  Dglob = prod( Dloc, R );
146  Dglob = prod( trans(R), Dglob );
148  }

◆ calcG()

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcG ( int  gg,
MatrixDouble  gap_loc 
)
inline

Calculate gap opening.

\[ g = \sqrt{ g_n^2 + \beta(g_{s1}^2 + g_{s2}^2)} \]

Definition at line 95 of file CohesiveInterfaceElement.hpp.

95  {
96  return sqrt(pow(gap_loc(gg,0),2)+beta*(pow(gap_loc(gg,1),2)+pow(gap_loc(gg,2),2)));
97  }

◆ calcOmega()

MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcOmega ( const double  kappa,
double omega 
)
inline

Calculate damage.

\[ \Omega = \frac{1}{2} \frac{(2 G_f E_0+f_t^2)\kappa}{(ft+E_0 \kappa)G_f} \]

Definition at line 157 of file CohesiveInterfaceElement.hpp.

157  {
159  omega = 0;
160  if(kappa>=kappa1) {
161  omega = 1;
163  } else if(kappa>0) {
164  double a = (2.0*Gf*E0+ft*ft)*kappa;
165  double b = (ft+E0*kappa)*Gf;
166  omega = 0.5*a/b;
167  }
169  }

◆ calcTangetDglob()

MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcTangetDglob ( const double  omega,
double  g,
const VectorDouble &  gap_loc,
MatrixDouble &  R 
)
inline

Calculate tangent material stiffness.

Definition at line 173 of file CohesiveInterfaceElement.hpp.

173  {
175  Dglob.resize(3,3);
176  Dloc.resize(3,3);
177  double domega = 0.5*(2*Gf*E0+ft*ft)/((ft+(g-ft/E0)*E0)*Gf) - 0.5*((g-ft/E0)*(2*Gf*E0+ft*ft)*E0)/(pow(ft+(g-ft/E0)*E0,2)*Gf);
178  Dloc.resize(3,3);
179  //r0
180  Dloc(0,0) = (1-omega)*E0 - domega*E0*gap_loc[0]*gap_loc[0]/g;
181  Dloc(0,1) = -domega*E0*gap_loc[0]*beta*gap_loc[1]/g;
182  Dloc(0,2) = -domega*E0*gap_loc[0]*beta*gap_loc[2]/g;
183  //r1
184  Dloc(1,0) = -domega*E0*gap_loc[1]*gap_loc[0]/g;
185  Dloc(1,1) = (1-omega)*E0 - domega*E0*gap_loc[1]*beta*gap_loc[1]/g;
186  Dloc(1,2) = -domega*E0*gap_loc[1]*beta*gap_loc[2]/g;
187  //r2
188  Dloc(2,0) = -domega*E0*gap_loc[2]*gap_loc[0]/g;
189  Dloc(2,1) = -domega*E0*gap_loc[2]*beta*gap_loc[1]/g;
190  Dloc(2,2) = (1-omega)*E0 - domega*E0*gap_loc[2]*beta*gap_loc[2]/g;
191  Dglob = prod(Dloc,R);
192  Dglob = prod(trans(R),Dglob);
194  }

◆ calculateTangentStiffeness()

virtual MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calculateTangentStiffeness ( MatrixDouble &  tangent_matrix,
int  gg,
CommonData common_data,
const FEMethod fe_method 
)
inlinevirtual

Calculate tangent stiffness.

Definition at line 231 of file CohesiveInterfaceElement.hpp.

235  {
237 
238  try {
239  if(!isInitialised) {
240  ierr = iNitailise(fe_method); CHKERRG(ierr);
241  isInitialised = true;
242  }
243  if(gg==0) {
244  ierr = getKappa(common_data.gapGlob.size1(),fe_method); CHKERRG(ierr);
245  }
246  double g = calcG(gg,common_data.gapLoc);
247  double kappa = fmax(g-g0,kappaPtr[gg]);
248  double omega = 0;
250  //std::cerr << gg << " " << omega << std::endl;
251  int iter;
252  ierr = SNESGetIterationNumber(fe_method->snes,&iter); CHKERRG(ierr);
253  if((kappa <= kappaPtr[gg])||(kappa>=kappa1)||(iter <= 1)) {
254  ierr = calcDglob(omega,common_data.R[gg]); CHKERRG(ierr);
255  } else {
256  ublas::matrix_row<MatrixDouble > g_loc(common_data.gapLoc,gg);
257  ierr = calcTangetDglob(omega,g,g_loc,common_data.R[gg]);
258  }
259  tangent_matrix.resize(3,3);
260  noalias(tangent_matrix) = Dglob;
261  //std::cerr << "t " << tangent_matrix << std::endl;
262  } catch (const std::exception& ex) {
263  std::ostringstream ss;
264  ss << "throw in method: " << ex.what() << std::endl;
265  SETERRQ(PETSC_COMM_SELF,1,ss.str().c_str());
266  }
268  }

◆ calculateTraction()

virtual MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calculateTraction ( VectorDouble &  traction,
int  gg,
CommonData common_data,
const FEMethod fe_method 
)
inlinevirtual

Calculate tractions.

\[ \mathbf{t} = \mathbf{D}_\textrm{glob}\mathbf{g} \]

Definition at line 203 of file CohesiveInterfaceElement.hpp.

207  {
209 
210  if(!isInitialised) {
211  ierr = iNitailise(fe_method); CHKERRG(ierr);
212  isInitialised = true;
213  }
214  if(gg==0) {
215  ierr = getKappa(common_data.gapGlob.size1(),fe_method); CHKERRG(ierr);
216  }
217  double g = calcG(gg,common_data.gapLoc);
218  double kappa = fmax(g-g0,kappaPtr[gg]);
219  double omega = 0;
221  //std::cerr << gg << " " << omega << std::endl;
222  ierr = calcDglob(omega,common_data.R[gg]); CHKERRG(ierr);
223  traction.resize(3);
224  ublas::matrix_row<MatrixDouble > gap_glob(common_data.gapGlob,gg);
225  noalias(traction) = prod(Dglob,gap_glob);
227  }

◆ getKappa()

MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::getKappa ( int  nb_gauss_pts,
const FEMethod fe_method 
)
inline

Get pointer from the mesh to histoy variables \(\kappa\).

Definition at line 104 of file CohesiveInterfaceElement.hpp.

104  {
106  EntityHandle ent = fe_method->numeredEntFiniteElementPtr->getEnt();
107 
108  rval = mField.get_moab().tag_get_by_ptr(thKappa,&ent,1,(const void **)&kappaPtr,&kappaSize);
109  if(rval != MB_SUCCESS || kappaSize != nb_gauss_pts) {
111  kappa.resize(nb_gauss_pts);
112  kappa.clear();
113  int tag_size[1];
114  tag_size[0] = nb_gauss_pts;
115  void const* tag_data[] = { &kappa[0] };
116  rval = mField.get_moab().tag_set_by_ptr(thKappa,&ent,1,tag_data,tag_size); CHKERRG(rval);
117  rval = mField.get_moab().tag_get_by_ptr(thKappa,&ent,1,(const void **)&kappaPtr,&kappaSize); CHKERRG(rval);
118  }
120  }

◆ iNitailise()

MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::iNitailise ( const FEMethod fe_method)
inline

Initialize history variable data.

Create tag on the prism/interface to store damage history variable

Definition at line 72 of file CohesiveInterfaceElement.hpp.

72  {
74 
75  double def_damaged = 0;
76  rval = mField.get_moab().tag_get_handle(
77  "DAMAGED_PRISM",1,MB_TYPE_INTEGER,thDamagedPrism,MB_TAG_CREAT|MB_TAG_SPARSE,&def_damaged
78  ); MOAB_THROW(rval);
79  const int def_len = 0;
80  rval = mField.get_moab().tag_get_handle("_KAPPA",def_len,MB_TYPE_DOUBLE,
81  thKappa,MB_TAG_CREAT|MB_TAG_SPARSE|MB_TAG_VARLEN,NULL); CHKERRG(rval);
82  E0 = youngModulus/h;
83  g0 = ft/E0;
84  kappa1 = 2*Gf/ft;
86  }

◆ updateHistory()

virtual MoFEMErrorCode CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::updateHistory ( CommonData common_data,
const FEMethod fe_method 
)
inlinevirtual

Update history variables when converged.

Definition at line 272 of file CohesiveInterfaceElement.hpp.

274  {
276 
277 
278  if(!isInitialised) {
279  ierr = iNitailise(fe_method); CHKERRG(ierr);
280  isInitialised = true;
281  }
282  ierr = getKappa(common_data.gapGlob.size1(),fe_method); CHKERRG(ierr);
283  bool all_gauss_pts_damaged = true;
284  for(unsigned int gg = 0;gg<common_data.gapGlob.size1();gg++) {
285  double omega = 0;
286  double g = calcG(gg,common_data.gapLoc);
287  double kappa = fmax(g-g0,kappaPtr[gg]);
288  kappaPtr[gg] = kappa;
290  //if(omega < 1.) {
291  all_gauss_pts_damaged = false;
292  //}
293  }
294  if(all_gauss_pts_damaged) {
295  EntityHandle ent = fe_method->numeredEntFiniteElementPtr->getEnt();
296  int set_prism_as_demaged = 1;
297  rval = mField.get_moab().tag_set_data(thDamagedPrism,&ent,1,&set_prism_as_demaged); CHKERRG(rval);
298  }
300  }

Member Data Documentation

◆ beta

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::beta

Definition at line 61 of file CohesiveInterfaceElement.hpp.

◆ Dglob

MatrixDouble CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Dglob

Definition at line 122 of file CohesiveInterfaceElement.hpp.

◆ Dloc

MatrixDouble CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Dloc

Definition at line 122 of file CohesiveInterfaceElement.hpp.

◆ E0

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::E0

Definition at line 65 of file CohesiveInterfaceElement.hpp.

◆ ft

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::ft

Definition at line 61 of file CohesiveInterfaceElement.hpp.

◆ g0

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::g0

Definition at line 65 of file CohesiveInterfaceElement.hpp.

◆ Gf

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Gf

Definition at line 61 of file CohesiveInterfaceElement.hpp.

◆ h

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::h

Definition at line 61 of file CohesiveInterfaceElement.hpp.

◆ isInitialised

bool CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::isInitialised

Definition at line 54 of file CohesiveInterfaceElement.hpp.

◆ kappa1

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappa1

Definition at line 65 of file CohesiveInterfaceElement.hpp.

◆ kappaPtr

double* CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappaPtr

Definition at line 99 of file CohesiveInterfaceElement.hpp.

◆ kappaSize

int CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappaSize

Definition at line 100 of file CohesiveInterfaceElement.hpp.

◆ mField

MoFEM::Interface& CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::mField

Definition at line 53 of file CohesiveInterfaceElement.hpp.

◆ pRisms

Range CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::pRisms

Definition at line 62 of file CohesiveInterfaceElement.hpp.

◆ thDamagedPrism

Tag CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::thDamagedPrism

Definition at line 63 of file CohesiveInterfaceElement.hpp.

◆ thKappa

Tag CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::thKappa

Definition at line 63 of file CohesiveInterfaceElement.hpp.

◆ youngModulus

double CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::youngModulus

Definition at line 61 of file CohesiveInterfaceElement.hpp.


The documentation for this struct was generated from the following file:
MoFEMFunctionReturnHot
#define MoFEMFunctionReturnHot(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:460
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::h
double h
Definition: CohesiveInterfaceElement.hpp:61
g
constexpr double g
Definition: shallow_wave.cpp:63
omega
constexpr double omega
Save field DOFS on vertices/tags.
Definition: dynamic_first_order_con_law.cpp:93
EntityHandle
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::iNitailise
MoFEMErrorCode iNitailise(const FEMethod *fe_method)
Initialize history variable data.
Definition: CohesiveInterfaceElement.hpp:72
E
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcG
double calcG(int gg, MatrixDouble gap_loc)
Calculate gap opening.
Definition: CohesiveInterfaceElement.hpp:95
MOAB_THROW
#define MOAB_THROW(err)
Check error code of MoAB function and throw MoFEM exception.
Definition: definitions.h:554
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::getKappa
MoFEMErrorCode getKappa(int nb_gauss_pts, const FEMethod *fe_method)
Get pointer from the mesh to histoy variables .
Definition: CohesiveInterfaceElement.hpp:104
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcTangetDglob
MoFEMErrorCode calcTangetDglob(const double omega, double g, const VectorDouble &gap_loc, MatrixDouble &R)
Calculate tangent material stiffness.
Definition: CohesiveInterfaceElement.hpp:173
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::thDamagedPrism
Tag thDamagedPrism
Definition: CohesiveInterfaceElement.hpp:63
MoFEM::Exceptions::rval
static MoFEMErrorCodeGeneric< moab::ErrorCode > rval
Definition: Exceptions.hpp:74
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::g0
double g0
Definition: CohesiveInterfaceElement.hpp:65
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::isInitialised
bool isInitialised
Definition: CohesiveInterfaceElement.hpp:54
MoFEM::CoreInterface::get_moab
virtual moab::Interface & get_moab()=0
a
constexpr double a
Definition: approx_sphere.cpp:30
R
@ R
Definition: free_surface.cpp:394
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappaSize
int kappaSize
Definition: CohesiveInterfaceElement.hpp:100
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcDglob
MoFEMErrorCode calcDglob(const double omega, MatrixDouble &R)
Calculate stiffness material matrix.
Definition: CohesiveInterfaceElement.hpp:136
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::calcOmega
MoFEMErrorCode calcOmega(const double kappa, double &omega)
Calculate damage.
Definition: CohesiveInterfaceElement.hpp:157
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::thKappa
Tag thKappa
Definition: CohesiveInterfaceElement.hpp:63
kappa
double kappa
Definition: free_surface.cpp:183
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappaPtr
double * kappaPtr
Definition: CohesiveInterfaceElement.hpp:99
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::ft
double ft
Definition: CohesiveInterfaceElement.hpp:61
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Dglob
MatrixDouble Dglob
Definition: CohesiveInterfaceElement.hpp:122
MoFEM::Exceptions::ierr
static MoFEMErrorCodeGeneric< PetscErrorCode > ierr
Definition: Exceptions.hpp:76
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::youngModulus
double youngModulus
Definition: CohesiveInterfaceElement.hpp:61
MoFEM::Types::VectorDouble
UBlasVector< double > VectorDouble
Definition: Types.hpp:68
MoFEMFunctionBeginHot
#define MoFEMFunctionBeginHot
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:453
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Dloc
MatrixDouble Dloc
Definition: CohesiveInterfaceElement.hpp:122
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::beta
double beta
Definition: CohesiveInterfaceElement.hpp:61
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::E0
double E0
Definition: CohesiveInterfaceElement.hpp:65
CHKERRG
#define CHKERRG(n)
Check error code of MoFEM/MOAB/PETSc function.
Definition: definitions.h:496
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::mField
MoFEM::Interface & mField
Definition: CohesiveInterfaceElement.hpp:53
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::kappa1
double kappa1
Definition: CohesiveInterfaceElement.hpp:65
CohesiveElement::CohesiveInterfaceElement::PhysicalEquation::Gf
double Gf
Definition: CohesiveInterfaceElement.hpp:61