belfem::tensor Namespace Reference

Functions
template<typename T>
void	contract42 (const T *A, const T *B, T *C)
	tensor contraction A_ijkl * B_kl = C_ij
template<typename T>
void	contract42 (const T *A, const Matrix< T > &B, Matrix< T > &C)
	tensor contraction A_ijkl * B_kl = C_ij
template<typename T>
void	kelvin_christoffel (const T *A, const T *B, T *C)
	C_ik = A_ijkl * B_j * B_l.
template<typename T>
void	kelvin_christoffel (const T *A, const Vector< T > &B, Matrix< T > &C)
template<typename T>
void	rotate42 (const T *B, const T *R, T *A)
	tensor rotation A_mnop = B_ijkl * R_im * R_jn * R_ko * R_lp
template<typename T>
void	rotate42 (const T *B, const Matrix< T > &R, T *A)
	tensor rotation A_mnop = B_ijkl * R_im * R_jn * R_ko * R_lp
template<typename T>
void	identity (Tensor< T > &aTensor)
	populate the symmetric identity tensor
template<typename T>
void	invert_symmetric (Tensor< T > &aTensor, Vector< T > &aWork, Vector< int_t > &aPivot)
template<typename T>
void	contract44 (const T *A, const T *B, T *C)
	tensor contraction A_ijmn * B_mnkl = C_ijkl
template<typename T>
bool	equal_equal (const T *A, const T *B, const index_t aCapacity)
template<typename T>
void	fill (T *A, const T a, const T b)
template<typename T>
void	mat_to_ten (const T *C, T *A)
	elasticity matrix conversion elasticity matrix C => tensor A
template<typename T>
void	mat_to_ten (const Matrix< T > &C, T *A)
template<typename T>
void	ten_to_mat (const T *A, T *C)
	elasticity matrix conversion Elasticity tensor A => elasticity matrix C
template<typename T>
void	ten_to_mat (const T *A, Matrix< T > &C)

Function Documentation

contract42() [1/2]

template<typename T>

void belfem::tensor::contract42 ( const T * A, const Matrix< T > & B, Matrix< T > & C )

inline

tensor contraction A_ijkl * B_kl = C_ij

contract42() [2/2]

template<typename T>

void belfem::tensor::contract42	(	const T *	A,
		const T *	B,
		T *	C )

tensor contraction A_ijkl * B_kl = C_ij

contract44()

template<typename T>

void belfem::tensor::contract44	(	const T *	A,
		const T *	B,
		T *	C )

tensor contraction A_ijmn * B_mnkl = C_ijkl

equal_equal()

template<typename T>

bool belfem::tensor::equal_equal ( const T * A, const T * B, const index_t aCapacity )

inline

fill()

template<typename T>

void belfem::tensor::fill	(	T *	A,
		const T	a,
		const T	b )

identity()

template<typename T>

void belfem::tensor::identity

(

Tensor< T > &

aTensor

)

populate the symmetric identity tensor

I_ijkl = 0.5 * ( d_ik * d_jl + d_il * d_jk )

Parameters

aTensor

invert_symmetric()

template<typename T>

void belfem::tensor::invert_symmetric	(	Tensor< T > &	aTensor,
		Vector< T > &	aWork,
		Vector< int_t > &	aPivot )

kelvin_christoffel() [1/2]

template<typename T>

void belfem::tensor::kelvin_christoffel	(	const T *	A,
		const T *	B,
		T *	C )

C_ik = A_ijkl * B_j * B_l.

kelvin_christoffel() [2/2]

template<typename T>

void belfem::tensor::kelvin_christoffel	(	const T *	A,
		const Vector< T > &	B,
		Matrix< T > &	C )

mat_to_ten() [1/2]

template<typename T>

void belfem::tensor::mat_to_ten	(	const Matrix< T > &	C,
		T *	A )

mat_to_ten() [2/2]

template<typename T>

void belfem::tensor::mat_to_ten	(	const T *	C,
		T *	A )

elasticity matrix conversion elasticity matrix C => tensor A

rotate42() [1/2]

template<typename T>

void belfem::tensor::rotate42	(	const T *	B,
		const Matrix< T > &	R,
		T *	A )

tensor rotation A_mnop = B_ijkl * R_im * R_jn * R_ko * R_lp

rotate42() [2/2]

template<typename T>

void belfem::tensor::rotate42	(	const T *	B,
		const T *	R,
		T *	A )

tensor rotation A_mnop = B_ijkl * R_im * R_jn * R_ko * R_lp

ten_to_mat() [1/2]

template<typename T>

void belfem::tensor::ten_to_mat	(	const T *	A,
		Matrix< T > &	C )

ten_to_mat() [2/2]

template<typename T>

void belfem::tensor::ten_to_mat	(	const T *	A,
		T *	C )

elasticity matrix conversion Elasticity tensor A => elasticity matrix C