FFaAlgebra Namespace Reference

Namespace with matrix-vector function used by FE file parsers, etc. More...

Functions
void	eccTransform6 (double mat[6][6], const FaVec3 &X)
	Performs eccentricity transformation of a 6×6 element matrix. More...
bool	congruenceTransform (double **mat, const FaMat33 &T, int N, int node=0)
	Performs congruence transformation of a symmetric 3N×3N element matrix. More...

Detailed Description

Namespace with matrix-vector function used by FE file parsers, etc.

Function Documentation

congruenceTransform()

bool FFaAlgebra::congruenceTransform	(	double **	mat,
		const FaMat33 &	T,
		int	N,
		int	node = 0
	)

Performs congruence transformation of a symmetric 3N×3N element matrix.

The transformation matrix consists of a 3×3 submatrix T, which is repeated along the diagonal (when node == 0). If node > 0, the transformation matrix equals the identity matrix, but with the submatrix T inserted on the diagonal at position 3*(node-1)+1 to 3*node.

The implementation of this function is based on the Fortran routine mpro30() in the file src/Femlib/beamaux.f

eccTransform6()

void FFaAlgebra::eccTransform6	(	double	mat[6][6],
		const FaVec3 &	X
	)

Performs eccentricity transformation of a 6×6 element matrix.

The implementation of this function is based on the Fortran routine trix30() in the file src/Femlib/beamaux.f

Note

The vector X is here assumed to point FROM the nodal point location TO the actual element location (this is opposite to the case in trix30()).