FEUT4Domain Class Reference

Domain for nodally integrated tet elements. More...

#include <ut4.h>

Inheritance diagram for FEUT4Domain:

Data Structures
struct	UT4NODE
Public Member Functions
	FEUT4Domain (FEMesh *pm, FEMaterial *pmat)
	constructor
	~FEUT4Domain ()
	destructor
FEDomain *	Clone ()
	clone function
void	Serialize (DumpFile &ar)
	data serialization
FENodeElemList &	GetNodeElemList ()
	return the node-element list for this domain
bool	Initialize (FEModel &fem)
	initialization function
void	UpdateStresses (FEModel &fem)
	Update stresses.
void	Residual (FESolidSolver *psolver, vector< double > &R)
	calculates the total residual
void	StiffnessMatrix (FESolidSolver *psolver)
	calculates the global stiffness matrix for this domain
Static Public Attributes
static double	m_alpha = 0.05
	stabilization factor alpha
static bool	m_bdev = false
	use deviatoric components only for the element contribution
Protected Member Functions
void	NodalResidual (FESolidSolver *psolver, vector< double > &R)
	calculates the nodal residual
void	ElementResidual (FESolidSolver *psolver, vector< double > &R)
	calculates the element residual
void	ElementInternalForces (FESolidElement &el, vector< double > &fe)
	Calculates the internal stress vector for solid elements.
void	ElementalStiffnessMatrix (FESolidSolver *psolver)
	Calculates the element stiffness matrix.
void	ElementStiffness (FEM &fem, FESolidElement &el, matrix &ke)
	calculates the solid element stiffness matrix
void	NodalStiffnessMatrix (FESolidSolver *psolver)
	Calculates the nodal stiffness matrix.
void	GeometricalStiffness (FESolidElement &el, matrix &ke)
	geometrical stiffness (i.e. initial stress)
void	MaterialStiffness (FEM &fem, FESolidElement &el, matrix &ke)
	material stiffness component
void	NodalGeometryStiffness (UT4NODE &node, matrix &ke)
	nodal geometry stiffness contribution
void	NodalMaterialStiffness (UT4NODE &node, matrix &ke, FEElasticMaterial *pme)
	nodal material stiffness contribution
double	TetVolume (vec3d *r)
	calculate the volume of a tet element
tens4ds	Cvol (const tens4ds &C, const mat3ds &S)

---

Detailed Description

Domain for nodally integrated tet elements.

This class implements the uniform nodal strain tetrahedron with isochoric stabilization as described by Gee, Dohrmann, Key and Wall (2009)

---

Constructor & Destructor Documentation

FEUT4Domain::FEUT4Domain	(	FEMesh *	pm,
		FEMaterial *	pmat
	)

constructor

Constructor for the UT4Domain.

---

Member Function Documentation

tens4ds FEUT4Domain::Cvol	(	const tens4ds &	C,
		const mat3ds &	S
	)		[protected]

Calculate the volumetric contribution of the spatial tangent stiffness

void FEUT4Domain::ElementalStiffnessMatrix

(

FESolidSolver *

psolver

)

[protected]

Calculates the element stiffness matrix.

Calculates the element contribution to the global stiffness matrix.

void FEUT4Domain::ElementInternalForces	(	FESolidElement &	el,
		vector< double > &	fe
	)		[protected]

Calculates the internal stress vector for solid elements.

calculates the internal equivalent nodal forces for solid elements

void FEUT4Domain::ElementResidual	(	FESolidSolver *	psolver,
		vector< double > &	R
	)		[protected]

calculates the element residual

This function calculates the element contribution to the residual.

void FEUT4Domain::GeometricalStiffness	(	FESolidElement &	el,
		matrix &	ke
	)		[protected]

geometrical stiffness (i.e. initial stress)

calculates element's geometrical stiffness component for integration point n

Reimplemented from FEElasticSolidDomain.

bool FEUT4Domain::Initialize

(

FEModel &

fem

)

[virtual]

initialization function

Initialization for the UT4Domain. Note that we first initialize the base class before initializing the domain.

Reimplemented from FEElasticSolidDomain.

void FEUT4Domain::MaterialStiffness	(	FEM &	fem,
		FESolidElement &	el,
		matrix &	ke
	)		[protected]

material stiffness component

Calculates element material stiffness element matrix.

Reimplemented from FEElasticSolidDomain.

void FEUT4Domain::NodalGeometryStiffness	(	UT4NODE &	node,
		matrix &	ke
	)		[protected]

nodal geometry stiffness contribution

calculates the nodal geometry stiffness contribution

void FEUT4Domain::NodalMaterialStiffness	(	UT4NODE &	node,
		matrix &	ke,
		FEElasticMaterial *	pme
	)		[protected]

nodal material stiffness contribution

Calculates the nodal material stiffness contribution.

void FEUT4Domain::NodalResidual	(	FESolidSolver *	psolver,
		vector< double > &	R
	)		[protected]

calculates the nodal residual

This function calculates the nodal contribution to the residual.

void FEUT4Domain::NodalStiffnessMatrix

(

FESolidSolver *

psolver

)

[protected]

Calculates the nodal stiffness matrix.

Calculates the nodal contribution to the global stiffness matrix.

void FEUT4Domain::Residual	(	FESolidSolver *	psolver,
		vector< double > &	R
	)		[virtual]

calculates the total residual

The residual is defined as the sum of the nodal residual and the element residual

Reimplemented from FEElasticSolidDomain.

void FEUT4Domain::StiffnessMatrix

(

FESolidSolver *

psolver

)

[virtual]

calculates the global stiffness matrix for this domain

Calculates the stiffness matrix. The stiffness matrix is a sum of the nodal and element stiffness matrices

Reimplemented from FEElasticSolidDomain.

double FEUT4Domain::TetVolume

(

vec3d *

r

)

[protected]

calculate the volume of a tet element

Calculate volume for tets using the determinant rule.

void FEUT4Domain::UpdateStresses

(

FEModel &

fem

)

[virtual]

Update stresses.

Update the nodal and element stresses.

Reimplemented from FEElasticSolidDomain.

---

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

• FEBio/ut4.h
• FEBio/ut4.cpp