tensor::strain Namespace Reference

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

Function Documentation

double_contraction() [1/3]

double tensor::strain::double_contraction

(

const vec &

a

)

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double_contraction() [2/3]

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

double_contraction() [3/3]

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

invariant1()

double tensor::strain::invariant1

(

const vec &

E

)

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

Parameters

E	3D strain tensor in Voigt notation

Returns

the first invariant trace(E)

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invariant2()

double tensor::strain::invariant2

(

const vec &

E

)

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

Parameters

E	3D strain tensor in Voigt notation

Returns

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

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invariant3()

double tensor::strain::invariant3

(

const vec &

E

)

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

Parameters

E	3D strain tensor in Voigt notation

Returns

the third invariant det(E)

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lode()

double tensor::strain::lode

(

vec

E

)

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norm()

double tensor::strain::norm

(

const vec &

in

)

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to_green() [1/2]

mat tensor::strain::to_green

(

const mat &

gradient

)

to_green() [2/2]

mat tensor::strain::to_green

(

mat &&

gradient

)

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to_tensor()

mat tensor::strain::to_tensor

(

const vec &

in_strain

)

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to_voigt()

vec tensor::strain::to_voigt

(

const mat &

in_strain

)

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