Class used to compute the strain measures. More...

#include <GradientMeasure.h>

Public Member Functions
	GradientMeasure ()
	Default constructor.
	GradientMeasure (GradientMeasure &Instance)
	Copy-initializer constructor.
	~GradientMeasure ()
	Destructor.
void	GetDeformationGradientTensor (double Jinit, double detJinit, double *Jcurr, unsigned long Dimension, unsigned long IntPoint, Matrix &F)
	Computes the deformation gradient tensor.
void	GetDisplacementGradientTensor (FiniteFormulation_E FiniteFormulation, unsigned long Dimension, Matrix &F, Matrix &gradU)
	Computes the displacement gradient tensor.
void	GetStrainTensor (StrainMeasure_E StrainMeasure, ProblemType_E ProblemType, Material &Mater, Matrix &F, SymmetricMatrix &E, double *Ev, double r=0.0, double ur=0.0)
	Calculates the strain tensor for the given strain measure and deformation gradient tensor calculated on ain integration point.
void	GetLinearBMatrix (ProblemType_E ProblemType, unsigned long Dimension, unsigned long NumberSF, double Jacob, double detJ, double dShapeFunctions, double ShapeFunctions, double *Xe, unsigned long IntPoint, Matrix &BMatrix, double r=0.0)
	Computes the element linear deformation matrix B on an integration point.
void	GetNonLinearBMatrix (ProblemType_E ProblemType, FiniteFormulation_E FiniteFormulation, unsigned long Dimension, unsigned long NumberSF, double Jacob, double detJ, double dShapeFunctions, double ShapeFunctions, double *Xe, Matrix &DisplacementGradTensor, unsigned long IntPoint, Matrix &BMatrix, Matrix &ISBMatrix, double r=0.0, double ur=0.0)
	Computes the non-linear element deformation matrix.
void	GetGVector (ProblemType_E ProblemType, double *Strain, Matrix &NLBMatrix, Vector &dJdE, Vector &GVector)
	Calculates the g vector (B * dJ/dE) for an incompressible material.
void	GetAllNonlinearGradientMeasures (ProblemType_E ProblemType, StrainMeasure_E StrainMeasure, unsigned long NumIntPoints, double dShapeFunctions, unsigned long NumberSF, double Jinit, double detJinit, double Jcurr, Matrix &F, Matrix &gradU, Vector &Ev, Matrix &NLBMatrix, Matrix &ISBMatrix, unsigned long &VectorOrder, unsigned long &TensorOrder)
	Calculates all strain related variables for a large deformation problem, for all integration points.
Protected Member Functions
void	GetGreenLagrangeStrainTensor (ProblemType_E ProblemType, Matrix &F, Material &Mater, SymmetricMatrix &E, double *Ev=NULL, double r=0.0, double ur=0.0)
	Computes the Green-Lagrange strain tensor on an integration point.
void	GetAlmansiHamelStrainTensor (ProblemType_E ProblemType, Matrix &F, Material &Mat, SymmetricMatrix &E, double *Ev=NULL)
	Compute the Almansi-Hamel strain tensor on an integration point.
void	GetInfinitesimalStrainTensor (ProblemType_E ProblemType, Matrix &F, SymmetricMatrix &E, double *Ev=NULL)
	Returns the infinitesimal strain tensor.

Detailed Description

Class used to compute the strain measures.

Author:: Fabiano Fernandes Bargos/Marco Lucio Bittencourt

Date:: March/25/2011

Constructor & Destructor Documentation

GradientMeasure::GradientMeasure ( GradientMeasure & Instance )

Copy-initializer constructor.

Parameters:

[in] Instance - object of type GradientMeasure

Member Function Documentation

void GradientMeasure::GetAlmansiHamelStrainTensor	(	ProblemType_E	ProblemType,
		Matrix &	F,
		Material &	Mat,
		SymmetricMatrix &	E,
		double *	Ev = `NULL`
	)		`[protected]`

Compute the Almansi-Hamel strain tensor on an integration point.

Parameters:

[in]	ProblemType	- problem type (plan strain, plane stress, etc)
[in]	F	- deformation gradient tensor calculated on an integration point.
[in]	Mat	- instance of material class
[out]	E	- strain measure tensor
[out]	Ev	- strain maesuare tensor stored as a double array

void GradientMeasure::GetDeformationGradientTensor	(	double *	Jinit,
		double *	detJinit,
		double *	Jcurr,
		unsigned long	Dimension,
		unsigned long	IntPoint,
		Matrix &	F
	)

Computes the deformation gradient tensor.

Parameters:

[in]	Jinit	- Jacobian matrix of the initial configuration.
[in]	Jcurr	- Jacobian matrix of the current configuration.
[in]	Dimension	- Dimension of the element (1,2,3).
[out]	F	- deformation gradient tensor calculated on an integration point.

void GradientMeasure::GetDisplacementGradientTensor	(	FiniteFormulation_E	FiniteFormulation,
		unsigned long	Dimension,
		Matrix &	F,
		Matrix &	gradU
	)

Computes the displacement gradient tensor.

Parameters:

[in]	FiniteFormulation	- Formulation used to calculate B (Total Lagrangian, Updated Lagrangian, Eulerian).
[in]	Dimension	- Dimension of the element (1,2,3).
[in]	F	- deformation gradient tensor calculated on an integration point.
[out]	gradU	- displacment gradient tensor calculated on an integration point.

void GradientMeasure::GetGreenLagrangeStrainTensor	(	ProblemType_E	ProblemType,
		Matrix &	F,
		Material &	Mater,
		SymmetricMatrix &	E,
		double *	Ev = `NULL`,
		double	r = `0.0`,
		double	ur = `0.0`
	)		`[protected]`

Computes the Green-Lagrange strain tensor on an integration point.

Parameters:

[in]	ProblemType	- problem type (plan strain, plane stress, etc)
[in]	F	- deformation gradient tensor calculated on an integration point.
[in]	Mater	- instance of material class
[out]	E	- strain maesuare tensor
[out]	Ev	- strain maesuare tensor stored as a double array
[in]	r	- interpolated radial coordinate for axisymmetric analysis.
[in]	ur	- interpolated radial displacement for axisymmetric analysis.

void GradientMeasure::GetGVector	(	ProblemType_E	ProblemType,
		double *	Strain,
		Matrix &	NLBMatrix,
		Vector &	dJdE,
		Vector &	GVector
	)

Calculates the g vector (B * dJ/dE) for an incompressible material.

Parameters:

[in]	ProblemType	- The type of problem being solved.
[in]	Strain	- Current strain at the integration point.
[in]	Mater	- Instance for the material class.
[in]	NLBMatrix	- Deformation matrix.
[in]	dJdE	- Third material invariant derivatives with respect to the second Piola-Kirchhoff stress tensor.
[out]	GVector

void GradientMeasure::GetInfinitesimalStrainTensor	(	ProblemType_E	ProblemType,
		Matrix &	F,
		SymmetricMatrix &	E,
		double *	Ev = `NULL`
	)		`[protected]`

Returns the infinitesimal strain tensor.

Parameters:

[in]	ProblemType	- problem type (plan strain, plane stress, etc)
[in]	F	- deformation gradient tensor calculated on an integration point.
[out]	E	- strain measure tensor
[out]	Ev	- strain maesuare tensor stored as a double array

void GradientMeasure::GetLinearBMatrix	(	ProblemType_E	ProblemType,
		unsigned long	Dimension,
		unsigned long	NumberSF,
		double *	Jacob,
		double *	detJ,
		double *	dShapeFunctions,
		double *	ShapeFunctions,
		double *	Xe,
		unsigned long	IntPoint,
		Matrix &	BMatrix,
		double	r = `0.0`
	)

Computes the element linear deformation matrix B on an integration point.

Parameters:

[in]	ProblemType	- problem type (plan strain, plane stress, etc)
[in]	Dimension	- dimension of the element (1, 2, 3)
[in]	NumberSF	- Number of shape functions.
[in]	Jacob	- Element Jacobian.
[in]	dShapeFunctions	- double array with the values of the shape function derivatives on the integration point.
[in]	ShapeFunctions	- double array with the values of the shape function on the integration point.
[in]	Xe	- double array with the element coordinates.
[out]	BMatrix	- deformation matrix.

[in] r - interpolated radial coordinate for axisymmetric analysis.

void GradientMeasure::GetNonLinearBMatrix	(	ProblemType_E	ProblemType,
		FiniteFormulation_E	FiniteFormulation,
		unsigned long	Dimension,
		unsigned long	NumberSF,
		double *	Jacob,
		double *	detJ,
		double *	dShapeFunctions,
		double *	ShapeFunctions,
		double *	Xe,
		Matrix &	DisplacementGradTensor,
		unsigned long	IntPoint,
		Matrix &	BMatrix,
		Matrix &	ISBMatrix,
		double	r = `0.0`,
		double	ur = `0.0`
	)

Computes the non-linear element deformation matrix.

Computes the element linear deformation matrix B on an integration point.

Parameters:

[in]	ProblemType	- problem type (plan strain, plane stress, etc).
[in]	FiniteFormulation	- formulation used to calculate B (total Lagrangian, Eulerian, Lagrangian).
[in]	Dimension	- dimension of the element (1, 2, 3).
[in]	NumberSF	- Number of shape functions.
[in]	Jacob	- Element Jacobian.
[in]	ShapeFunctions	- double array with the values of the shape function derivatives on the integration point.
[in]	dShapeFunctions	- double array with the values of the shape function on the integration point.
[in]	Xe	- double array with the element coordinates.
[in]	DisplacementGradTensor	- Displacement gradient tensor calculates at the integration point.
[out]	BMatrix	- deformation matrix.
[in]	r	- interpolated radial coordinate for axisymmetric analysis.
[in]	ur	- interpolated radial displacement for axisymmetric analysis.

void GradientMeasure::GetStrainTensor	(	StrainMeasure_E	StrainMeasure,
		ProblemType_E	ProblemType,
		Material &	Mater,
		Matrix &	F,
		SymmetricMatrix &	E,
		double *	Ev,
		double	r = `0.0`,
		double	ur = `0.0`
	)

Calculates the strain tensor for the given strain measure and deformation gradient tensor calculated on ain integration point.

Parameters:

[in]	StrainMeasure	- type of strain measure
[in]	ProblemType	- problem type (plan strain, plane stress, etc)
[in]	Mater	- instance of material class
[in]	F	- deformation gradient tensor calculated on an integration point.
[out]	E	- strain maesuare tensor
[out]	Ev	- strain maesuare tensor stored as a double array
[in]	r	- interpolated radial coordinate
[in]	ur	- interpolated radial displacement

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

include/finiteelement/GradientMeasure.h
src/finiteelement/GradientMeasure.cpp

Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation