MFEM  v4.0
Finite element discretization library
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Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
mfem::NeoHookeanModel Class Reference

#include <nonlininteg.hpp>

Inheritance diagram for mfem::NeoHookeanModel:
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Collaboration diagram for mfem::NeoHookeanModel:
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Public Member Functions

 NeoHookeanModel (double _mu, double _K, double _g=1.0)
 
 NeoHookeanModel (Coefficient &_mu, Coefficient &_K, Coefficient *_g=NULL)
 
virtual double EvalW (const DenseMatrix &J) const
 Evaluate the strain energy density function, W = W(Jpt). More...
 
virtual void EvalP (const DenseMatrix &J, DenseMatrix &P) const
 Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt). More...
 
virtual void AssembleH (const DenseMatrix &J, const DenseMatrix &DS, const double weight, DenseMatrix &A) const
 Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'. More...
 
- Public Member Functions inherited from mfem::HyperelasticModel
 HyperelasticModel ()
 
virtual ~HyperelasticModel ()
 
void SetTransformation (ElementTransformation &_Ttr)
 

Protected Member Functions

void EvalCoeffs () const
 

Protected Attributes

double mu
 
double K
 
double g
 
Coefficientc_mu
 
Coefficientc_K
 
Coefficientc_g
 
bool have_coeffs
 
DenseMatrix Z
 
DenseMatrix G
 
DenseMatrix C
 
- Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformationTtr
 

Detailed Description

Neo-Hookean hyperelastic model with a strain energy density function given by the formula: \((\mu/2)(\bar{I}_1 - dim) + (K/2)(det(J)/g - 1)^2\) where J is the deformation gradient and \(\bar{I}_1 = (det(J))^{-2/dim} Tr(J J^t)\). The parameters \(\mu\) and K are the shear and bulk moduli, respectively, and g is a reference volumetric scaling.

Definition at line 183 of file nonlininteg.hpp.

Constructor & Destructor Documentation

mfem::NeoHookeanModel::NeoHookeanModel ( double  _mu,
double  _K,
double  _g = 1.0 
)
inline

Definition at line 196 of file nonlininteg.hpp.

mfem::NeoHookeanModel::NeoHookeanModel ( Coefficient _mu,
Coefficient _K,
Coefficient _g = NULL 
)
inline

Definition at line 199 of file nonlininteg.hpp.

Member Function Documentation

void mfem::NeoHookeanModel::AssembleH ( const DenseMatrix Jpt,
const DenseMatrix DS,
const double  weight,
DenseMatrix A 
) const
virtual

Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.

Parameters
[in]JptRepresents the target->physical transformation Jacobian matrix.
[in]DSGradient of the basis matrix (dof x dim).
[in]weightQuadrature weight coefficient for the point.
[in,out]ALocal gradient matrix where the contribution from this point will be added.

Computes weight * d(dW_dxi)_d(xj) at the current point, for all i and j, where x1 ... xn are the FE dofs. This function is usually defined using the matrix invariants and their derivatives.

Implements mfem::HyperelasticModel.

Definition at line 260 of file nonlininteg.cpp.

void mfem::NeoHookeanModel::EvalCoeffs ( ) const
inlineprotected

Definition at line 213 of file nonlininteg.cpp.

void mfem::NeoHookeanModel::EvalP ( const DenseMatrix Jpt,
DenseMatrix P 
) const
virtual

Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).

Parameters
[in]JptRepresents the target->physical transformation Jacobian matrix.
[out]PThe evaluated 1st Piola-Kirchhoff stress tensor.

Implements mfem::HyperelasticModel.

Definition at line 239 of file nonlininteg.cpp.

double mfem::NeoHookeanModel::EvalW ( const DenseMatrix Jpt) const
virtual

Evaluate the strain energy density function, W = W(Jpt).

Parameters
[in]JptRepresents the target->physical transformation Jacobian matrix.

Implements mfem::HyperelasticModel.

Definition at line 223 of file nonlininteg.cpp.

Member Data Documentation

DenseMatrix mfem::NeoHookeanModel::C
mutableprotected

Definition at line 191 of file nonlininteg.hpp.

Coefficient * mfem::NeoHookeanModel::c_g
protected

Definition at line 187 of file nonlininteg.hpp.

Coefficient * mfem::NeoHookeanModel::c_K
protected

Definition at line 187 of file nonlininteg.hpp.

Coefficient* mfem::NeoHookeanModel::c_mu
protected

Definition at line 187 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::g
mutableprotected

Definition at line 186 of file nonlininteg.hpp.

DenseMatrix mfem::NeoHookeanModel::G
mutableprotected

Definition at line 191 of file nonlininteg.hpp.

bool mfem::NeoHookeanModel::have_coeffs
protected

Definition at line 188 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::K
mutableprotected

Definition at line 186 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::mu
mutableprotected

Definition at line 186 of file nonlininteg.hpp.

DenseMatrix mfem::NeoHookeanModel::Z
mutableprotected

Definition at line 190 of file nonlininteg.hpp.


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