GMatElastic::Cartesian3d::Elastic< N > Class Template Reference

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

#include <GMatElastic/Cartesian3d.h>

Inheritance diagram for GMatElastic::Cartesian3d::Elastic< N >:

Public Member Functions
template<class T >
	Elastic (const T &K, const T &G)
	Construct system. More...
const array_type::tensor< double, N > &	K () const
	Bulk modulus per item. More...
const array_type::tensor< double, N > &	G () const
	Shear modulus per item. More...
template<class T >
void	set_Eps (const T &arg)
	Set strain tensors. More...
template<class T >
void	set_Eps (const T &arg, bool compute_tangent)
	Set strain tensors. More...
virtual void	refresh (bool compute_tangent=true)
	Recompute stress from strain. More...
const array_type::tensor< double, N+2 > &	Eps () const
	Strain tensor per item. More...
array_type::tensor< double, N+2 > &	Eps ()
	Strain tensor per item. More...
const array_type::tensor< double, N+2 > &	Sig () const
	Stress tensor per item. More...
const array_type::tensor< double, N+4 > &	C () const
	Tangent tensor per item. More...
virtual array_type::tensor< double, N >	energy () const
	Potential energy per item. More...
Public Member Functions inherited from GMatTensor::Cartesian3d::Array< N >
	Array (const std::array< size_t, N > &shape)
	Constructor. More...
const std::array< size_t, N > &	shape () const
	Shape of the array (of scalars). More...
const std::array< size_t, N+2 > &	shape_tensor2 () const
	Shape of the array of second-order tensors. More...
const std::array< size_t, N+4 > &	shape_tensor4 () const
	Shape of the array of fourth-order tensors. More...
array_type::tensor< double, N+2 >	O2 () const
	Array of Cartesian3d::O2() More...
array_type::tensor< double, N+4 >	O4 () const
	Array of Cartesian3d::O4() More...
array_type::tensor< double, N+2 >	I2 () const
	Array of Cartesian3d::I2() More...
array_type::tensor< double, N+4 >	II () const
	Array of Cartesian3d::II() More...
array_type::tensor< double, N+4 >	I4 () const
	Array of Cartesian3d::I4() More...
array_type::tensor< double, N+4 >	I4rt () const
	Array of Cartesian3d::I4rt() More...
array_type::tensor< double, N+4 >	I4s () const
	Array of Cartesian3d::I4s() More...
array_type::tensor< double, N+4 >	I4d () const
	Array of Cartesian3d::I4d() More...

Protected Member Functions
template<class T >
void	init_Elastic (const T &K, const T &G)
	Construct system. More...
Protected Member Functions inherited from GMatTensor::Cartesian3d::Array< N >
void	init (const std::array< size_t, N > &shape)
	Constructor 'alias'. More...

Protected Attributes
array_type::tensor< double, N >	m_K
	Bulk modulus per item. More...
array_type::tensor< double, N >	m_G
	Shear modulus per item. More...
array_type::tensor< double, N+2 >	m_Eps
	Strain tensor per item. More...
array_type::tensor< double, N+2 >	m_Sig
	Stress tensor per item. More...
array_type::tensor< double, N+4 >	m_C
	Tangent per item. More...
Protected Attributes inherited from GMatTensor::Cartesian3d::Array< N >
size_t	m_size
	Size of the array (of scalars) == prod(m_shape). More...
std::array< size_t, N >	m_shape
	Shape of the array (of scalars). More...
std::array< size_t, N+2 >	m_shape_tensor2
	Shape of an array of 2nd-order tensors == [m_shape, 3, 3]. More...
std::array< size_t, N+4 >	m_shape_tensor4
	Shape of an array of 4th-order tensors == [m_shape, 3, 3, 3, 3]. More...

Additional Inherited Members
Static Public Attributes inherited from GMatTensor::Cartesian3d::Array< N >
static constexpr std::size_t	rank = N
	Rank of the array (the actual rank is increased with the tensor-rank). More...
Static Protected Attributes inherited from GMatTensor::Cartesian3d::Array< N >
static constexpr size_t	m_ndim = 3
	Number of dimensions of tensors. More...
static constexpr size_t	m_stride_tensor2 = 9
	Storage stride for 2nd-order tensors ( \( 3^2 \)). More...
static constexpr size_t	m_stride_tensor4 = 81
	Storage stride for 4th-order tensors ( \( 3^4 \)). More...

Detailed Description

template<size_t N>
class GMatElastic::Cartesian3d::Elastic< N >

Array of material points with a linear elastic constitutive response.

Template Parameters

N	Rank of the array.

Definition at line 109 of file Cartesian3d.h.

Constructor & Destructor Documentation

Elastic()

template<size_t N>

template<class T >

GMatElastic::Cartesian3d::Elastic< N >::Elastic ( const T &  K, const T &  G  )

inline

Construct system.

Parameters

K	Bulk modulus per item.
G	Shear modulus per item.

Definition at line 136 of file Cartesian3d.h.

Member Function Documentation

C()

template<size_t N>

const array_type::tensor< double, N+4 > & GMatElastic::Cartesian3d::Elastic< N >::C ( ) const

inline

Tangent tensor per item.

Returns

[shape(), 3, 3, 3, 3].

Definition at line 307 of file Cartesian3d.h.

energy()

template<size_t N>

virtual array_type::tensor< double, N > GMatElastic::Cartesian3d::Elastic< N >::energy ( ) const

inlinevirtual

Potential energy per item.

Returns

[shape()].

Definition at line 316 of file Cartesian3d.h.

Eps() [1/2]

template<size_t N>

array_type::tensor< double, N+2 > & GMatElastic::Cartesian3d::Elastic< N >::Eps ( )

inline

Strain tensor per item.

The user is responsible for calling refresh() after modifying entries.

Returns

[shape(), 3, 3].

Definition at line 289 of file Cartesian3d.h.

Eps() [2/2]

template<size_t N>

const array_type::tensor< double, N+2 > & GMatElastic::Cartesian3d::Elastic< N >::Eps ( ) const

inline

Strain tensor per item.

Returns

[shape(), 3, 3].

Definition at line 279 of file Cartesian3d.h.

G()

template<size_t N>

const array_type::tensor< double, N > & GMatElastic::Cartesian3d::Elastic< N >::G ( ) const

inline

Shear modulus per item.

Returns

[shape()].

Definition at line 193 of file Cartesian3d.h.

init_Elastic()

template<size_t N>

template<class T >

void GMatElastic::Cartesian3d::Elastic< N >::init_Elastic ( const T &  K, const T &  G  )

inlineprotected

Construct system.

Parameters

K	Bulk modulus per item.
G	Shear modulus per item.

Definition at line 148 of file Cartesian3d.h.

K()

template<size_t N>

const array_type::tensor< double, N > & GMatElastic::Cartesian3d::Elastic< N >::K ( ) const

inline

Bulk modulus per item.

Returns

[shape()].

Definition at line 184 of file Cartesian3d.h.

refresh()

template<size_t N>

virtual void GMatElastic::Cartesian3d::Elastic< N >::refresh ( bool  compute_tangent = true )

inlinevirtual

Recompute stress from strain.

From C++, this function need never be called: the API takes care of this.

For Python, this function should only be called when you modify elements of Eps(). For example

mat.Eps[e, q, 0, 1] = value
...
mat.refresh() # "Eps" was changed without "mat" knowing

Instead, if you write an nd-array, the API takes care of the refresh. I.e.

mat.Eps = new_Eps
# no further action needed, "mat" was refreshed

Note though that you can call this function as often as you like, you will only loose time.

Parameters

compute_tangent

Update tangent (if needed).

Definition at line 248 of file Cartesian3d.h.

set_Eps() [1/2]

template<size_t N>

template<class T >

void GMatElastic::Cartesian3d::Elastic< N >::set_Eps ( const T &  arg )

inline

Set strain tensors.

Internally, this calls refresh() to update stress.

Template Parameters

T	e.g. array_type::tensor<double, N + 2>

Parameters

arg	Strain tensor per item [shape(), 3, 3].

Definition at line 205 of file Cartesian3d.h.

set_Eps() [2/2]

template<size_t N>

template<class T >

void GMatElastic::Cartesian3d::Elastic< N >::set_Eps ( const T &  arg, bool  compute_tangent  )

inline

Set strain tensors.

Internally, this calls refresh() to update stress.

Template Parameters

T	e.g. array_type::tensor<double, N + 2>

Parameters

arg	Strain tensor per item [shape(), 3, 3].
compute_tangent	Update tangent (if needed).

Definition at line 220 of file Cartesian3d.h.

Sig()

template<size_t N>

const array_type::tensor< double, N+2 > & GMatElastic::Cartesian3d::Elastic< N >::Sig ( ) const

inline

Stress tensor per item.

Returns

[shape(), 3, 3].

Definition at line 298 of file Cartesian3d.h.

Member Data Documentation

m_C

template<size_t N>

array_type::tensor<double, N + 4> GMatElastic::Cartesian3d::Elastic< N >::m_C

protected

Tangent per item.

Definition at line 115 of file Cartesian3d.h.

m_Eps

template<size_t N>

array_type::tensor<double, N + 2> GMatElastic::Cartesian3d::Elastic< N >::m_Eps

protected

Strain tensor per item.

Definition at line 113 of file Cartesian3d.h.

m_G

template<size_t N>

array_type::tensor<double, N> GMatElastic::Cartesian3d::Elastic< N >::m_G

protected

Shear modulus per item.

Definition at line 112 of file Cartesian3d.h.

m_K

template<size_t N>

array_type::tensor<double, N> GMatElastic::Cartesian3d::Elastic< N >::m_K

protected

Bulk modulus per item.

Definition at line 111 of file Cartesian3d.h.

m_Sig

template<size_t N>

array_type::tensor<double, N + 2> GMatElastic::Cartesian3d::Elastic< N >::m_Sig

protected

Stress tensor per item.

Definition at line 114 of file Cartesian3d.h.

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The documentation for this class was generated from the following file:

• GMatElastic/Cartesian3d.h