Array of material points with a linear elastic constitutive response. More...
#include <GMatElastoPlasticQPot/Cartesian2d.h>
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... | |
| 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::Cartesian2d::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 Cartesian2d::O2() More... | |
| array_type::tensor< double, N+4 > | O4 () const |
| Array of Cartesian2d::O4() More... | |
| array_type::tensor< double, N+2 > | I2 () const |
| Array of Cartesian2d::I2() More... | |
| array_type::tensor< double, N+4 > | II () const |
| Array of Cartesian2d::II() More... | |
| array_type::tensor< double, N+4 > | I4 () const |
| Array of Cartesian2d::I4() More... | |
| array_type::tensor< double, N+4 > | I4rt () const |
| Array of Cartesian2d::I4rt() More... | |
| array_type::tensor< double, N+4 > | I4s () const |
| Array of Cartesian2d::I4s() More... | |
| array_type::tensor< double, N+4 > | I4d () const |
| Array of Cartesian2d::I4d() More... | |
Protected Member Functions | |
| template<class T > | |
| void | init_Elastic (const T &K, const T &G) |
| Constructor alias. More... | |
| Protected Member Functions inherited from GMatTensor::Cartesian2d::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::Cartesian2d::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, 2, 2]. More... | |
| std::array< size_t, N+4 > | m_shape_tensor4 |
| Shape of an array of 4th-order tensors == [m_shape, 2, 2, 2, 2]. More... | |
Additional Inherited Members | |
| Static Public Attributes inherited from GMatTensor::Cartesian2d::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::Cartesian2d::Array< N > | |
| static constexpr size_t | m_ndim = 2 |
| Number of dimensions of tensors. More... | |
| static constexpr size_t | m_stride_tensor2 = 4 |
| Storage stride for 2nd-order tensors ( \( 2^2 \)). More... | |
| static constexpr size_t | m_stride_tensor4 = 16 |
| Storage stride for 4th-order tensors ( \( 2^4 \)). More... | |
Detailed Description
class GMatElastoPlasticQPot::Cartesian2d::Elastic< N >
Array of material points with a linear elastic constitutive response.
- Template Parameters
-
N Rank of the array.
Definition at line 122 of file Cartesian2d.h.
Constructor & Destructor Documentation
◆ Elastic()
|
inline |
Construct system.
- Parameters
-
K Bulk modulus per item. G Shear modulus per item.
Definition at line 149 of file Cartesian2d.h.
Member Function Documentation
◆ C()
|
inline |
Tangent tensor per item.
- Returns
- [shape(), 3, 3, 3, 3].
Definition at line 300 of file Cartesian2d.h.
◆ energy()
|
inlinevirtual |
Potential energy per item.
- Returns
- [shape()].
Reimplemented in GMatElastoPlasticQPot::Cartesian2d::Cusp< N >, and GMatElastoPlasticQPot::Cartesian2d::Smooth< N >.
Definition at line 309 of file Cartesian2d.h.
◆ Eps() [1/2]
|
inline |
Strain tensor per item.
The user is responsible for calling refresh() after modifying entries.
- Returns
- [shape(), 3, 3].
Definition at line 282 of file Cartesian2d.h.
◆ Eps() [2/2]
|
inline |
◆ G()
|
inline |
◆ init_Elastic()
|
inlineprotected |
Constructor alias.
- Parameters
-
K Bulk modulus per item. G Shear modulus per item.
Definition at line 161 of file Cartesian2d.h.
◆ K()
|
inline |
◆ refresh()
|
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 Irrelevant, ignored.
Reimplemented in GMatElastoPlasticQPot::Cartesian2d::Cusp< N >, and GMatElastoPlasticQPot::Cartesian2d::Smooth< N >.
Definition at line 246 of file Cartesian2d.h.
◆ set_Eps()
|
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 218 of file Cartesian2d.h.
◆ Sig()
|
inline |
Member Data Documentation
◆ m_C
|
protected |
Tangent per item.
Definition at line 128 of file Cartesian2d.h.
◆ m_Eps
|
protected |
Strain tensor per item.
Definition at line 126 of file Cartesian2d.h.
◆ m_G
|
protected |
Shear modulus per item.
Definition at line 125 of file Cartesian2d.h.
◆ m_K
|
protected |
Bulk modulus per item.
Definition at line 124 of file Cartesian2d.h.
◆ m_Sig
|
protected |
Stress tensor per item.
Definition at line 127 of file Cartesian2d.h.
The documentation for this class was generated from the following file:
- GMatElastoPlasticQPot/Cartesian2d.h
