GMatElastic::Cartesian3d Namespace Reference

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

Classes
class	Elastic
	Array of material points with a linear elastic constitutive response. More...

Functions
template<class T >
auto	Epseq (const T &A) -> typename GMatTensor::allocate< xt::get_rank< T >::value - 2, T >::type
	Von Mises equivalent strain: norm of strain deviator. More...
template<class T , class U >
void	epseq (const T &A, U &ret)
	Same as epseq(), but writes to externally allocated output. More...
template<class T >
auto	Sigeq (const T &A) -> typename GMatTensor::allocate< xt::get_rank< T >::value - 2, T >::type
	Von Mises equivalent stress: norm of strain deviator. More...
template<class T , class U >
void	sigeq (const T &A, U &ret)
	Same as Sigeq(), but writes to externally allocated output. More...

Detailed Description

Implementation in a 3-d Cartesian coordinate frame.

Function Documentation

Epseq()

template<class T >

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

inline

Von Mises equivalent strain: norm of strain deviator.

\( \sqrt{\frac{2}{3} (dev(A))_{ij} (dev(A))_{ji}} \)

To write to allocated data use epseq().

Parameters

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

Returns

[...] array.

Definition at line 33 of file Cartesian3d.h.

epseq()

template<class T , class U >

void GMatElastic::Cartesian3d::epseq ( const T &  A, U &  ret  )

inline

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

Parameters

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

Definition at line 52 of file Cartesian3d.h.

Sigeq()

template<class T >

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

inline

Von Mises equivalent stress: norm of strain deviator.

\( \sqrt{\frac{3}{2} (dev(A))_{ij} (dev(A))_{ji}} \)

To write to allocated data use sigeq().

Parameters

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

Returns

[...] array.

Definition at line 74 of file Cartesian3d.h.

sigeq()

template<class T , class U >

void GMatElastic::Cartesian3d::sigeq ( const T &  A, U &  ret  )

inline

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

Parameters

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

Definition at line 93 of file Cartesian3d.h.