GMatElastoPlasticQPot::Cartesian3d Namespace Reference

Implementation in a 3-d Cartesian coordinate frame. More...

Classes
class	Cusp
	Array of material points with an elasto-plastic material model. More...
class	Smooth
	Array of material points with an elasto-plastic material model. More...

Functions
template<class T >
auto	Epsd (const T &A) -> typename GMatTensor::allocate< xt::get_rank< T >::value - 2, T >::type
	Equivalent strain: norm of strain deviator. More...
template<class T , class U >
void	epsd (const T &A, U &ret)
	Same as Epsd(), but writes to externally allocated output. More...
template<class T >
auto	Sigd (const T &A) -> typename GMatTensor::allocate< xt::get_rank< T >::value - 2, T >::type
	Equivalent stress: norm of strain deviator. More...
template<class T , class U >
void	sigd (const T &A, U &ret)
	Same as Sigd(), but writes to externally allocated output. More...

Detailed Description

Implementation in a 3-d Cartesian coordinate frame.

Note that the definitions of the bulk and shear modulus are different: here they are identical to classical elasticity (see e.g. Landau & Lifschitz).

Function Documentation

Epsd()

template<class T >

auto GMatElastoPlasticQPot::Cartesian3d::Epsd ( const T &  A ) -> typename GMatTensor::allocate<xt::get_rank<T>::value - 2, T>::type

inline

Equivalent strain: norm of strain deviator.

\( \sqrt{\frac{1}{2} (dev(A))_{ij} (dev(A))_{ji}} \)

To write to allocated data use epsd().

Parameters

A	[..., 3, 3] array.

Returns

[...] array.

Definition at line 49 of file Cartesian3d.h.

epsd()

template<class T , class U >

void GMatElastoPlasticQPot::Cartesian3d::epsd ( const T &  A, U &  ret  )

inline

Same as Epsd(), but writes to externally allocated output.

Parameters

A	[..., 3, 3] array.
ret	output [...] array

Definition at line 68 of file Cartesian3d.h.

Sigd()

template<class T >

auto GMatElastoPlasticQPot::Cartesian3d::Sigd ( const T &  A ) -> typename GMatTensor::allocate<xt::get_rank<T>::value - 2, T>::type

inline

Equivalent stress: norm of strain deviator.

\( \sqrt{2 (dev(A))_{ij} (dev(A))_{ji}} \)

To write to allocated data use sigd().

Parameters

A	[..., 3, 3] array.

Returns

[...] array.

Definition at line 90 of file Cartesian3d.h.

sigd()

template<class T , class U >

void GMatElastoPlasticQPot::Cartesian3d::sigd ( const T &  A, U &  ret  )

inline

Same as Sigd(), but writes to externally allocated output.

Parameters

A	[..., 3, 3] array.
ret	output [...] array

Definition at line 109 of file Cartesian3d.h.