ElasticityIntegrator Class Reference

#include <bilininteg.hpp>

Inheritance diagram for ElasticityIntegrator:

Collaboration diagram for ElasticityIntegrator:

List of all members.

Public Member Functions
	ElasticityIntegrator (Coefficient &l, Coefficient &m)
	ElasticityIntegrator (Coefficient &m, double q_l, double q_m)
virtual void	AssembleElementMatrix (const FiniteElement &, ElementTransformation &, DenseMatrix &)
	Given a particular Finite Element computes the element matrix elmat.
Private Attributes
double	q_lambda
double	q_mu
Coefficient *	lambda
Coefficient *	mu
DenseMatrix	dshape
DenseMatrix	Jinv
DenseMatrix	gshape
DenseMatrix	pelmat
Vector	divshape

---

Detailed Description

Integrator for the linear elasticity form: a(u,v) = (lambda div(u), div(v)) + (2 mu e(u), e(v)), where e(v) = (1/2) (grad(v) + grad(v)^T). This is a 'Vector' integrator, i.e. defined for FE spaces using multiple copies of a scalar FE space.

Definition at line 398 of file bilininteg.hpp.

---

Constructor & Destructor Documentation

ElasticityIntegrator::ElasticityIntegrator	(	Coefficient &	l,
		Coefficient &	m
	)		[inline]

Definition at line 410 of file bilininteg.hpp.

References lambda, and mu.

ElasticityIntegrator::ElasticityIntegrator	(	Coefficient &	m,
		double	q_l,
		double	q_m
	)		[inline]

With this constructor lambda = q_l * m and mu = q_m * m; if dim * q_l + 2 * q_m = 0 then trace(sigma) = 0.

Definition at line 414 of file bilininteg.hpp.

References lambda, mu, q_lambda, and q_mu.

---

Member Function Documentation

void ElasticityIntegrator::AssembleElementMatrix	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		DenseMatrix &	elmat
	)		[virtual]

Given a particular Finite Element computes the element matrix elmat.

Reimplemented from BilinearFormIntegrator.

Definition at line 830 of file bilininteg.cpp.

References AddMult_a_VVt(), FiniteElement::CalcDShape(), CalcInverse(), divshape, dshape, Coefficient::Eval(), IntegrationRules::Get(), FiniteElement::GetDim(), FiniteElement::GetDof(), FiniteElement::GetGeomType(), DenseMatrix::GradToDiv(), gshape, IntegrationRule::IntPoint(), IntRules, ElementTransformation::Jacobian(), Jinv, lambda, mu, Mult(), MultAAt(), ElementTransformation::OrderGrad(), pelmat, q_lambda, q_mu, ElementTransformation::SetIntPoint(), Vector::SetSize(), DenseMatrix::SetSize(), ElementTransformation::Weight(), and IntegrationPoint::weight.

---

Member Data Documentation

Vector ElasticityIntegrator::divshape [private]

Definition at line 406 of file bilininteg.hpp.

Referenced by AssembleElementMatrix().

DenseMatrix ElasticityIntegrator::dshape [private]

Definition at line 405 of file bilininteg.hpp.

Referenced by AssembleElementMatrix().

DenseMatrix ElasticityIntegrator::gshape [private]

Definition at line 405 of file bilininteg.hpp.

Referenced by AssembleElementMatrix().

DenseMatrix ElasticityIntegrator::Jinv [private]

Definition at line 405 of file bilininteg.hpp.

Referenced by AssembleElementMatrix().

Coefficient* ElasticityIntegrator::lambda [private]

Definition at line 402 of file bilininteg.hpp.

Referenced by AssembleElementMatrix(), and ElasticityIntegrator().

Coefficient * ElasticityIntegrator::mu [private]

Definition at line 402 of file bilininteg.hpp.

Referenced by AssembleElementMatrix(), and ElasticityIntegrator().

DenseMatrix ElasticityIntegrator::pelmat [private]

Definition at line 405 of file bilininteg.hpp.

Referenced by AssembleElementMatrix().

double ElasticityIntegrator::q_lambda [private]

Definition at line 401 of file bilininteg.hpp.

Referenced by AssembleElementMatrix(), and ElasticityIntegrator().

double ElasticityIntegrator::q_mu [private]

Definition at line 401 of file bilininteg.hpp.

Referenced by AssembleElementMatrix(), and ElasticityIntegrator().

---

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

• bilininteg.hpp
• bilininteg.cpp