tensor::stress Namespace Reference

Functions
double	invariant1 (const vec &)
	compute the first invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	invariant2 (const vec &)
	compute the second invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	invariant3 (const vec &)
	compute the third invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	lode (vec)
vec	lode_der (vec)
mat	to_tensor (const vec &)
vec	to_voigt (const mat &)
double	norm (const vec &)
double	norm (vec &&)
double	double_contraction (const vec &, const vec &)
double	double_contraction (vec &&, vec &&)

Function Documentation

double_contraction() [1/2]

double tensor::stress::double_contraction	(	const vec &	a,
		const vec &	b
	)

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double_contraction() [2/2]

double tensor::stress::double_contraction	(	vec &&	a,
		vec &&	b
	)

invariant1()

double tensor::stress::invariant1

(

const vec &

S

)

compute the first invariant of the given 3D stress tensor, could be either normal or deviatoric stress

Parameters

S	3D stress tensor in Voigt notation

Returns

the first invariant trace(S)

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invariant2()

double tensor::stress::invariant2

(

const vec &

S

)

compute the second invariant of the given 3D stress tensor, could be either normal or deviatoric stress

Parameters

S	3D stress tensor in Voigt notation

Returns

the second invariant 0.5*(trace(S^2)-trace(S)^2)

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invariant3()

double tensor::stress::invariant3

(

const vec &

S

)

compute the third invariant of the given 3D stress tensor, could be either normal or deviatoric stress

Parameters

S	3D stress tensor in Voigt notation

Returns

the third invariant det(S)

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lode()

double tensor::stress::lode

(

vec

S

)

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lode_der()

vec tensor::stress::lode_der

(

vec

S

)

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norm() [1/2]

double tensor::stress::norm

(

const vec &

in

)

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norm() [2/2]

double tensor::stress::norm

(

vec &&

in

)

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to_tensor()

mat tensor::stress::to_tensor

(

const vec &

in_stress

)

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to_voigt()

vec tensor::stress::to_voigt

(

const mat &

in_stress

)

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