CompressibleNonlinearElasticitySolver< DIM > Class Template Reference

#include <CompressibleNonlinearElasticitySolver.hpp>

Inherits AbstractNonlinearElasticitySolver< DIM >.

Collaboration diagram for CompressibleNonlinearElasticitySolver< DIM >:

Public Member Functions
	CompressibleNonlinearElasticitySolver (QuadraticMesh< DIM > &rQuadMesh, SolidMechanicsProblemDefinition< DIM > &rProblemDefinition, std::string outputDirectory)
	~CompressibleNonlinearElasticitySolver ()
Protected Member Functions
virtual void	AssembleOnElement (Element< DIM, DIM > &rElement, c_matrix< double, STENCIL_SIZE, STENCIL_SIZE > &rAElem, c_matrix< double, STENCIL_SIZE, STENCIL_SIZE > &rAElemPrecond, c_vector< double, STENCIL_SIZE > &rBElem, bool assembleResidual, bool assembleJacobian)
virtual void	AssembleOnBoundaryElement (BoundaryElement< DIM-1, DIM > &rBoundaryElement, c_matrix< double, BOUNDARY_STENCIL_SIZE, BOUNDARY_STENCIL_SIZE > &rAelem, c_vector< double, BOUNDARY_STENCIL_SIZE > &rBelem, bool assembleResidual, bool assembleJacobian, unsigned boundaryConditionIndex)
void	AssembleSystem (bool assembleResidual, bool assembleJacobian)
Static Protected Attributes
static const size_t	NUM_NODES_PER_ELEMENT = AbstractNonlinearElasticitySolver<DIM>::NUM_NODES_PER_ELEMENT
static const size_t	NUM_VERTICES_PER_ELEMENT = AbstractNonlinearElasticitySolver<DIM>::NUM_VERTICES_PER_ELEMENT
static const size_t	NUM_NODES_PER_BOUNDARY_ELEMENT = AbstractNonlinearElasticitySolver<DIM>::NUM_NODES_PER_BOUNDARY_ELEMENT
static const size_t	STENCIL_SIZE = DIM*NUM_NODES_PER_ELEMENT
static const size_t	BOUNDARY_STENCIL_SIZE = DIM*NUM_NODES_PER_BOUNDARY_ELEMENT
Friends
class	TestCompressibleNonlinearElasticitySolver

Detailed Description

template<size_t DIM>
class CompressibleNonlinearElasticitySolver< DIM >

Finite elasticity solver. Solves static *compressible* nonlinear elasticity problems with arbitrary (compressible) material laws and a body force.

Uses quadratic basis functions for displacement, and is therefore outside the other assembler or solver hierarchy.

Definition at line 56 of file CompressibleNonlinearElasticitySolver.hpp.

Constructor & Destructor Documentation

template<size_t DIM>

CompressibleNonlinearElasticitySolver< DIM >::CompressibleNonlinearElasticitySolver	(	QuadraticMesh< DIM > &	rQuadMesh,
		SolidMechanicsProblemDefinition< DIM > &	rProblemDefinition,
		std::string	outputDirectory
	)			`[inline]`

Constructor

Parameters:

	rQuadMesh	The quadratic mesh to solve on
	rProblemDefinition	an object defining in particular the body force and boundary conditions
	outputDirectory	The output directory

Definition at line 526 of file CompressibleNonlinearElasticitySolver.cpp.

References EXCEPTION, SolidMechanicsProblemDefinition< DIM >::GetCompressibilityType(), and AbstractNonlinearElasticitySolver< DIM >::Initialise().

template<size_t DIM>

CompressibleNonlinearElasticitySolver< DIM >::~CompressibleNonlinearElasticitySolver ( ) [inline]

Destructor.

Definition at line 544 of file CompressibleNonlinearElasticitySolver.cpp.

Member Function Documentation

template<size_t DIM>

void CompressibleNonlinearElasticitySolver< DIM >::AssembleOnBoundaryElement	(	BoundaryElement< DIM-1, DIM > &	rBoundaryElement,
		c_matrix< double, BOUNDARY_STENCIL_SIZE, BOUNDARY_STENCIL_SIZE > &	rAelem,
		c_vector< double, BOUNDARY_STENCIL_SIZE > &	rBelem,
		bool	assembleResidual,
		bool	assembleJacobian,
		unsigned	boundaryConditionIndex
	)			`[inline, protected, virtual]`

Compute the term from the surface integral of s*phi, where s is a specified non-zero surface traction (ie Neumann boundary condition) to be added to the Rhs vector.

Parameters:

	rBoundaryElement	the boundary element to be integrated on
	rAelem	The element's contribution to the LHS matrix is returned in this n by n matrix, where n is the no. of nodes in this element. There is no need to zero this matrix before calling.
	rBelem	The element's contribution to the RHS vector is returned in this vector of length n, the no. of nodes in this element. There is no need to zero this vector before calling.
	assembleResidual	A bool stating whether to assemble the residual vector.
	assembleJacobian	A bool stating whether to assemble the Jacobian matrix.
	boundaryConditionIndex	index of this boundary (in the vectors in the problem definition object, in which the boundary conditions are stored

Definition at line 424 of file CompressibleNonlinearElasticitySolver.cpp.

References DeformedBoundaryElement< ELEM_DIM, SPACE_DIM >::ApplyUndeformedElementAndDisplacement(), AbstractTetrahedralElement< ELEMENT_DIM, SPACE_DIM >::CalculateNormal(), AbstractTetrahedralElement< ELEMENT_DIM, SPACE_DIM >::CalculateWeightedDirection(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeGlobalIndex(), GaussianQuadratureRule< ELEMENT_DIM >::GetNumQuadPoints(), GaussianQuadratureRule< ELEMENT_DIM >::GetWeight(), AbstractNonlinearElasticitySolver< DIM >::mCurrentSolution, AbstractNonlinearElasticitySolver< DIM >::mCurrentTime, AbstractNonlinearElasticitySolver< DIM >::mDeformedBoundaryElement, AbstractNonlinearElasticitySolver< DIM >::mpBoundaryQuadratureRule, AbstractNonlinearElasticitySolver< DIM >::mrProblemDefinition, AbstractNonlinearElasticitySolver< DIM >::mrQuadMesh, NEVER_REACHED, CompressibleNonlinearElasticitySolver< DIM >::NUM_NODES_PER_BOUNDARY_ELEMENT, and GaussianQuadratureRule< ELEMENT_DIM >::rGetQuadPoint().

Referenced by CompressibleNonlinearElasticitySolver< DIM >::AssembleSystem().

template<size_t DIM>

void CompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement	(	Element< DIM, DIM > &	rElement,
		c_matrix< double, STENCIL_SIZE, STENCIL_SIZE > &	rAElem,
		c_matrix< double, STENCIL_SIZE, STENCIL_SIZE > &	rAElemPrecond,
		c_vector< double, STENCIL_SIZE > &	rBElem,
		bool	assembleResidual,
		bool	assembleJacobian
	)			`[inline, protected, virtual]`

Assemble residual or Jacobian on an element, using the current solution stored in mCurrrentSolution. The ordering assumed is (in 2d) rBElem = [u0 v0 u1 v1 .. u5 v5].

Parameters:

	rElement	The element to assemble on.
	rAElem	The element's contribution to the LHS matrix is returned in this n by n matrix, where n is the no. of nodes in this element. There is no need to zero this matrix before calling.
	rAElemPrecond	The element's contribution to the matrix passed to PetSC in creating a preconditioner
	rBElem	The element's contribution to the RHS vector is returned in this vector of length n, the no. of nodes in this element. There is no need to zero this vector before calling.
	assembleResidual	A bool stating whether to assemble the residual vector.
	assembleJacobian	A bool stating whether to assemble the Jacobian matrix.

Definition at line 158 of file CompressibleNonlinearElasticitySolver.cpp.

Referenced by CompressibleNonlinearElasticitySolver< DIM >::AssembleSystem().

template<size_t DIM>

void CompressibleNonlinearElasticitySolver< DIM >::AssembleSystem	(	bool	assembleResidual,
		bool	assembleJacobian
	)			`[inline, protected, virtual]`

Assemble the residual vector (using the current solution stored in mCurrentSolution, output going to mpLinearSystem->rGetRhsVector), or Jacobian matrix (using the current solution stored in mCurrentSolution, output going to mpLinearSystem->rGetLhsMatrix).

Parameters: