AMP::Operator::UpdatedLagrangianUtils Namespace Reference

Functions
void	computeGradient (double dN_dxnp1o2[8], double dN_dynp1o2[8], double dN_dznp1o2[8], double delta_u[8], double delta_v[8], double delta_w[8], unsigned int num_nodes, double d_np1o2[3][3])
void	computeJInverse (double G[3][3], double dNdxi[8], double dNdeta[8], double dNdzeta[8], double x[8], double y[8], double z[8], double detJ[1])
void	computeLocalDerivatives (double dNdxi[8], double dNdeta[8], double dNdzeta[8], double xi, double eta, double zeta)
void	computeShapeFunctions (double N[8], double xi, double eta, double zeta)
void	constructShapeFunctionDerivatives (double dNdx[8], double dNdy[8], double dNdz[8], double x[8], double y[8], double z[8], double xi, double eta, double zeta, double detJ[1])
void	cubicRoots (double a, double b, double c, double d, double &r1, double &r2, double &r3)
void	eigenValues (double A[3][3], double val[3])
void	eigenVectors (double A[3][3], double val[3], double vec[3][3])
void	firstCubicRoot (double a, double b, double c, double d, double &r1)
void	jaumannToCauchy (double Om[3][3], double Sg[3][3])
void	matCopy (double A[3][3], double B[3][3])
double	matDeterminant (double A[3][3])
void	matDiagMatMultiply (double P1[3][3], double D[3], double P2[3][3], double A[3][3])
void	matInverse (double A[3][3], double B[3][3])
void	matMatMultiply (double A[3][3], double B[3][3], double C[3][3])
void	matrixOuterProduct (double Qia[3][3], double Qjb[3][3], double Tijab[6][6])
void	matScale (double A[3][3], double c)
double	matTrace (double A[3][3])
void	matTranspose (double A[3][3], double B[3][3])
void	matVecMultiply (double A[3][3], double b[3], double c[3])
void	orthonormalize (std::vector< std::array< double, 3 > > &vecs)
void	polarDecomposeRU (double A[3][3], double R[3][3], double U[3][3])
void	polarDecompositionFeqRU_Simo (double F[3][3], double R[3][3], double U[3][3])
void	pullbackCorotational (double Q[3][3], double A[3][3], double QtAQ[3][3])
void	pushforwardCorotational (double Q[3][3], double A[3][3], double QAQt[3][3])
void	pushforwardCorotationalStiffness (double Q[3][3], double K[6][6], double QQKQtQt[6][6])
void	quadraticRoots (double a, double b, double c, double &r1, double &r2)
bool	softEquals (double a, double b)
void	solveEquation (double A[3][3], std::vector< std::array< double, 3 > > &sols)
void	vecVecAddition (double a[3], double b[3], double c[3])

Function Documentation

computeGradient()

void AMP::Operator::UpdatedLagrangianUtils::computeGradient	(	double	dN_dxnp1o2[8],
		double	dN_dynp1o2[8],
		double	dN_dznp1o2[8],
		double	delta_u[8],
		double	delta_v[8],
		double	delta_w[8],
		unsigned int	num_nodes,
		double	d_np1o2[3][3]
	)

computeJInverse()

void AMP::Operator::UpdatedLagrangianUtils::computeJInverse	(	double	G[3][3],
		double	dNdxi[8],
		double	dNdeta[8],
		double	dNdzeta[8],
		double	x[8],
		double	y[8],
		double	z[8],
		double	detJ[1]
	)

computeLocalDerivatives()

void AMP::Operator::UpdatedLagrangianUtils::computeLocalDerivatives	(	double	dNdxi[8],
		double	dNdeta[8],
		double	dNdzeta[8],
		double	xi,
		double	eta,
		double	zeta
	)

computeShapeFunctions()

void AMP::Operator::UpdatedLagrangianUtils::computeShapeFunctions	(	double	N[8],
		double	xi,
		double	eta,
		double	zeta
	)

constructShapeFunctionDerivatives()

void AMP::Operator::UpdatedLagrangianUtils::constructShapeFunctionDerivatives	(	double	dNdx[8],
		double	dNdy[8],
		double	dNdz[8],
		double	x[8],
		double	y[8],
		double	z[8],
		double	xi,
		double	eta,
		double	zeta,
		double	detJ[1]
	)

cubicRoots()

void AMP::Operator::UpdatedLagrangianUtils::cubicRoots	(	double	a,
		double	b,
		double	c,
		double	d,
		double &	r1,
		double &	r2,
		double &	r3
	)

eigenValues()

void AMP::Operator::UpdatedLagrangianUtils::eigenValues	(	double	A[3][3],
		double	val[3]
	)

eigenVectors()

void AMP::Operator::UpdatedLagrangianUtils::eigenVectors	(	double	A[3][3],
		double	val[3],
		double	vec[3][3]
	)

firstCubicRoot()

void AMP::Operator::UpdatedLagrangianUtils::firstCubicRoot	(	double	a,
		double	b,
		double	c,
		double	d,
		double &	r1
	)

jaumannToCauchy()

void AMP::Operator::UpdatedLagrangianUtils::jaumannToCauchy	(	double	Om[3][3],
		double	Sg[3][3]
	)

matCopy()

void AMP::Operator::UpdatedLagrangianUtils::matCopy	(	double	A[3][3],
		double	B[3][3]
	)

matDeterminant()

double AMP::Operator::UpdatedLagrangianUtils::matDeterminant

(

double

A[3][3]

)

matDiagMatMultiply()

void AMP::Operator::UpdatedLagrangianUtils::matDiagMatMultiply	(	double	P1[3][3],
		double	D[3],
		double	P2[3][3],
		double	A[3][3]
	)

matInverse()

void AMP::Operator::UpdatedLagrangianUtils::matInverse	(	double	A[3][3],
		double	B[3][3]
	)

matMatMultiply()

void AMP::Operator::UpdatedLagrangianUtils::matMatMultiply	(	double	A[3][3],
		double	B[3][3],
		double	C[3][3]
	)

matrixOuterProduct()

void AMP::Operator::UpdatedLagrangianUtils::matrixOuterProduct	(	double	Qia[3][3],
		double	Qjb[3][3],
		double	Tijab[6][6]
	)

matScale()

void AMP::Operator::UpdatedLagrangianUtils::matScale	(	double	A[3][3],
		double	c
	)

matTrace()

double AMP::Operator::UpdatedLagrangianUtils::matTrace

(

double

A[3][3]

)

matTranspose()

void AMP::Operator::UpdatedLagrangianUtils::matTranspose	(	double	A[3][3],
		double	B[3][3]
	)

matVecMultiply()

void AMP::Operator::UpdatedLagrangianUtils::matVecMultiply	(	double	A[3][3],
		double	b[3],
		double	c[3]
	)

orthonormalize()

void AMP::Operator::UpdatedLagrangianUtils::orthonormalize

(

std::vector< std::array< double, 3 > > &

vecs

)

polarDecomposeRU()

void AMP::Operator::UpdatedLagrangianUtils::polarDecomposeRU	(	double	A[3][3],
		double	R[3][3],
		double	U[3][3]
	)

polarDecompositionFeqRU_Simo()

void AMP::Operator::UpdatedLagrangianUtils::polarDecompositionFeqRU_Simo	(	double	F[3][3],
		double	R[3][3],
		double	U[3][3]
	)

pullbackCorotational()

void AMP::Operator::UpdatedLagrangianUtils::pullbackCorotational	(	double	Q[3][3],
		double	A[3][3],
		double	QtAQ[3][3]
	)

pushforwardCorotational()

void AMP::Operator::UpdatedLagrangianUtils::pushforwardCorotational	(	double	Q[3][3],
		double	A[3][3],
		double	QAQt[3][3]
	)

pushforwardCorotationalStiffness()

void AMP::Operator::UpdatedLagrangianUtils::pushforwardCorotationalStiffness	(	double	Q[3][3],
		double	K[6][6],
		double	QQKQtQt[6][6]
	)

quadraticRoots()

void AMP::Operator::UpdatedLagrangianUtils::quadraticRoots	(	double	a,
		double	b,
		double	c,
		double &	r1,
		double &	r2
	)

softEquals()

bool AMP::Operator::UpdatedLagrangianUtils::softEquals	(	double	a,
		double	b
	)

solveEquation()

void AMP::Operator::UpdatedLagrangianUtils::solveEquation	(	double	A[3][3],
		std::vector< std::array< double, 3 > > &	sols
	)

vecVecAddition()

void AMP::Operator::UpdatedLagrangianUtils::vecVecAddition	(	double	a[3],
		double	b[3],
		double	c[3]
	)