transform Namespace Reference

Namespaces
namespace	beam
namespace	strain
namespace	stress
namespace	triangle

Concepts
concept	HasEval

Functions
void	tsai_wu_projection (const vec &, mat &, mat &)
	Generate two projection matrix based on the given yield stress according to the Tsai-Wu yielding criterion.
void	hoffman_projection (const vec &, mat &, mat &)
	Generate two projection matrix based on the given yield stress according to the Hoffman yielding criterion.
mat	hill_projection (double, double, double, double, double, double)
double	atan2 (const vec &)
mat	compute_jacobian_nominal_to_principal (const mat &)
mat	compute_jacobian_principal_to_nominal (const mat &)
mat66	eigen_to_tensor_base (const mat &)
vec	eigen_to_tensile_stress (const vec &, const mat &)
std::pair< mat, mat >	eigen_to_tensile_derivative (const vec &, const mat &)
template<typename T >
Mat< T >	skew_symm (const Mat< T > &R)
template<HasEval T>
mat	skew_symm (const T &R)
template<typename T >
Mat< T >	rodrigues (const Mat< T > &R)
template<typename T >
Quaternion< T >	to_quaternion (const Mat< T > &R)
template<typename T >
Col< T >	to_pseudo (const Mat< T > &R)

Function Documentation

atan2()

double transform::atan2

(

const vec &

direction_cosine

)

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compute_jacobian_nominal_to_principal()

mat transform::compute_jacobian_nominal_to_principal

(

const mat &

in

)

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compute_jacobian_principal_to_nominal()

mat transform::compute_jacobian_principal_to_nominal

(

const mat &

in

)

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eigen_to_tensile_derivative()

std::pair< mat, mat > transform::eigen_to_tensile_derivative	(	const vec &	principal_stress,
		const mat &	principal_direction
	)

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eigen_to_tensile_stress()

vec transform::eigen_to_tensile_stress	(	const vec &	principal_stress,
		const mat &	principal_direction
	)

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eigen_to_tensor_base()

mat66 transform::eigen_to_tensor_base

(

const mat &

eig_vec

)

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hill_projection()

mat transform::hill_projection	(	double	S1,
		double	S2,
		double	S3,
		double	S4,
		double	S5,
		double	S6
	)

hoffman_projection()

void transform::hoffman_projection	(	const vec &	yield_stress,
		mat &	proj_a,
		mat &	proj_b
	)

Generate two projection matrix based on the given yield stress according to the Hoffman yielding criterion.

Parameters

yield_stress	nine yield stresses
proj_a	P matrix
proj_b	q vector

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rodrigues()

template<typename T >

Mat< T > transform::rodrigues

(

const Mat< T > &

R

)

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skew_symm() [1/2]

template<typename T >

Mat< T > transform::skew_symm

(

const Mat< T > &

R

)

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skew_symm() [2/2]

template<HasEval T>

mat transform::skew_symm

(

const T &

R

)

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to_pseudo()

template<typename T >

Col< T > transform::to_pseudo

(

const Mat< T > &

R

)

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to_quaternion()

template<typename T >

Quaternion< T > transform::to_quaternion

(

const Mat< T > &

R

)

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tsai_wu_projection()

void transform::tsai_wu_projection	(	const vec &	yield_stress,
		mat &	proj_a,
		mat &	proj_b
	)

Generate two projection matrix based on the given yield stress according to the Tsai-Wu yielding criterion.

Parameters

yield_stress	nine yield stresses
proj_a	P matrix
proj_b	q vector

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