Array of material points with an elasto-plastic material model. More...

#include <GMatElastoPlasticQPot/Cartesian3d.h>

Inheritance diagram for GMatElastoPlasticQPot::Cartesian3d::Cusp< N >:

Public Member Functions
template<class T , class Y >
	Cusp (const T &K, const T &G, const Y &epsy)
	Construct system. More...

const array_type::tensor< double, N+1 > &	epsy () const
	Yield strains per item. More...

template<class T >
void	set_epsy (const T &epsy)
	Overwrite yield strains per item. More...

const array_type::tensor< size_t, N > &	i () const
	Index of the current yield strain per item. More...

const array_type::tensor< double, N > &	eps () const
	Equivalent strain per item. More...

array_type::tensor< double, N >	epsy_left () const
	Current yield strain left per item. More...

array_type::tensor< double, N >	epsy_right () const
	Current yield strain right per item. More...

array_type::tensor< double, N >	epsp () const
	Plastic strain per item. More...

void	refresh (bool compute_tangent=true) override
	Recompute stress from strain. More...

array_type::tensor< double, N >	energy () const override
	Potential energy per item. More...

Public Member Functions inherited from GMatElastic::Cartesian3d::Elastic< N >
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 , class Y >
void	init_Cusp (const T &K, const T &G, const Y &epsy)
	Construct system. More...

Protected Member Functions inherited from GMatElastic::Cartesian3d::Elastic< N >
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< size_t, N >	m_i
	Index of the current yield strain per item. More...

array_type::tensor< double, N >	m_eps
	Equivalent strain. More...

array_type::tensor< double, N+1 >	m_epsy
	Yield strain sequence. More...

size_t	m_nyield
	shape(-1) More...

Protected Attributes inherited from GMatElastic::Cartesian3d::Elastic< N >
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 GMatElastoPlasticQPot::Cartesian3d::Cusp< N >

Array of material points with an elasto-plastic material model.

The response is defined by a potential energy landscape consisting of a sequence of parabolic wells.

The corresponding elastic response is GMatElastic::Cartesian3d::Elastic.

Template Parameters

N	Rank of the array.

Definition at line 129 of file Cartesian3d.h.

Constructor & Destructor Documentation

◆ Cusp()

template<size_t N>

template<class T , class Y >

GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::Cusp	(	const T &	K,
		const T &	G,
		const Y &	epsy
	)

inline

Construct system.

Parameters

K	Bulk modulus per item.
G	Shear modulus per item.
epsy	Yield strain sequence per item.

Definition at line 162 of file Cartesian3d.h.

Member Function Documentation

◆ energy()

template<size_t N>

array_type::tensor< double, N > GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::energy ( ) const

inlineoverridevirtual

Potential energy per item.

Returns: [shape()].

Reimplemented from GMatElastic::Cartesian3d::Elastic< N >.

Reimplemented in GMatElastoPlasticQPot::Cartesian3d::Smooth< N >.

Definition at line 332 of file Cartesian3d.h.

◆ eps()

template<size_t N>

const array_type::tensor< double, N > & GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::eps ( ) const

inline

Equivalent strain per item.

Returns: [shape()].

Definition at line 232 of file Cartesian3d.h.

◆ epsp()

template<size_t N>

array_type::tensor< double, N > GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::epsp ( ) const

inline

Plastic strain per item.

Convenience function, same as (epsy[..., i] + epsy[..., i + 1]) / 2.

Returns: [shape()].

Definition at line 274 of file Cartesian3d.h.

◆ epsy()

template<size_t N>

const array_type::tensor< double, N+1 > & GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::epsy ( ) const

inline

Yield strains per item.

Returns: [shape()].

Definition at line 188 of file Cartesian3d.h.

◆ epsy_left()

template<size_t N>

array_type::tensor< double, N > GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::epsy_left ( ) const

inline

Current yield strain left per item.

Convenience function, same as epsy[..., i].

Returns: [shape()].

Definition at line 242 of file Cartesian3d.h.

◆ epsy_right()

template<size_t N>

array_type::tensor< double, N > GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::epsy_right ( ) const

inline

Current yield strain right per item.

Convenience function, same as epsy[..., i + 1].

Returns: [shape()].

Definition at line 258 of file Cartesian3d.h.

◆ i()

template<size_t N>

const array_type::tensor< size_t, N > & GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::i ( ) const

inline

Index of the current yield strain per item.

By definition epsy[..., i] < eps[...] <= epsy[..., i + 1]

Returns: [shape()].

Definition at line 223 of file Cartesian3d.h.

◆ init_Cusp()

template<size_t N>

template<class T , class Y >

void GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::init_Cusp	(	const T &	K,
		const T &	G,
		const Y &	epsy
	)

inlineprotected

Construct system.

Parameters

K	Bulk modulus per item.
G	Shear modulus per item.
epsy	Yield strain sequence per item.

Definition at line 175 of file Cartesian3d.h.

◆ refresh()

template<size_t N>

void GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::refresh ( bool compute_tangent = true )

inlineoverridevirtual

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).

Reimplemented from GMatElastic::Cartesian3d::Elastic< N >.

Reimplemented in GMatElastoPlasticQPot::Cartesian3d::Smooth< N >.

Definition at line 286 of file Cartesian3d.h.

◆ set_epsy()

template<size_t N>

template<class T >

void GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::set_epsy ( const T & epsy )

inline

Overwrite yield strains per item.

Parameters

epsy	Yield strain sequence per item.

Definition at line 198 of file Cartesian3d.h.

Member Data Documentation

◆ m_eps

template<size_t N>

array_type::tensor<double, N> GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::m_eps

protected

Equivalent strain.

Definition at line 132 of file Cartesian3d.h.

◆ m_epsy

template<size_t N>

array_type::tensor<double, N + 1> GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::m_epsy

protected

Yield strain sequence.

Definition at line 133 of file Cartesian3d.h.

◆ m_i

template<size_t N>

array_type::tensor<size_t, N> GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::m_i

protected

Index of the current yield strain per item.

Definition at line 131 of file Cartesian3d.h.

◆ m_nyield

template<size_t N>

size_t GMatElastoPlasticQPot::Cartesian3d::Cusp< N >::m_nyield

protected

shape(-1)

Definition at line 134 of file Cartesian3d.h.

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

GMatElastoPlasticQPot/Cartesian3d.h

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Cusp()

Member Function Documentation

◆ energy()

◆ eps()

◆ epsp()

◆ epsy()

◆ epsy_left()

◆ epsy_right()

◆ i()

◆ init_Cusp()

◆ refresh()

◆ set_epsy()

Member Data Documentation

◆ m_eps

◆ m_epsy

◆ m_i

◆ m_nyield