NEML2 1.4.0
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SR2.h
1// Copyright 2023, UChicago Argonne, LLC
2// All Rights Reserved
3// Software Name: NEML2 -- the New Engineering material Model Library, version 2
4// By: Argonne National Laboratory
5// OPEN SOURCE LICENSE (MIT)
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23// THE SOFTWARE.
24
25#pragma once
26
27#include "neml2/tensors/FixedDimTensor.h"
28
29namespace neml2
30{
31class Scalar;
32class R2;
33class SFR3;
34class SSR4;
35class SFFR4;
36class Rot;
37class SWR4;
38class WR2;
39
45class SR2 : public FixedDimTensor<SR2, 6>
46{
47public:
49
51 SR2(const R2 & T);
52
54 [[nodiscard]] static SR2 fill(const Real & a,
55 const torch::TensorOptions & options = default_tensor_options());
56 [[nodiscard]] static SR2 fill(const Scalar & a);
58 [[nodiscard]] static SR2 fill(const Real & a11,
59 const Real & a22,
60 const Real & a33,
61 const torch::TensorOptions & options = default_tensor_options());
62 [[nodiscard]] static SR2 fill(const Scalar & a11, const Scalar & a22, const Scalar & a33);
64 [[nodiscard]] static SR2 fill(const Real & a11,
65 const Real & a22,
66 const Real & a33,
67 const Real & a23,
68 const Real & a13,
69 const Real & a12,
70 const torch::TensorOptions & options = default_tensor_options());
71 [[nodiscard]] static SR2 fill(const Scalar & a11,
72 const Scalar & a22,
73 const Scalar & a33,
74 const Scalar & a23,
75 const Scalar & a13,
76 const Scalar & a12);
78 [[nodiscard]] static SR2
79 identity(const torch::TensorOptions & options = default_tensor_options());
81 [[nodiscard]] static SSR4
82 identity_map(const torch::TensorOptions & options = default_tensor_options());
83
85 SR2 rotate(const Rot & r) const;
86 SR2 rotate(const R2 & R) const;
87
89 SFR3 drotate(const Rot & r) const;
90 SFFR4 drotate(const R2 & R) const;
91
94
96 Scalar tr() const;
97
99 SR2 vol() const;
100
102 SR2 dev() const;
103
105 Scalar det() const;
106
108 Scalar inner(const SR2 & other) const;
109
111 Scalar norm_sq() const;
112
114 Scalar norm(Real eps = 0) const;
115
117 SSR4 outer(const SR2 & other) const;
118
120 SR2 inverse() const;
121
123 SR2 transpose() const;
124};
125
126} // namespace neml2
The wrapper (decorator) for cross-referencing unresolved values at parse time.
Definition CrossRef.h:52
FixedDimTensor inherits from BatchTensorBase and additionally templates on the base shape.
Definition FixedDimTensor.h:38
FixedDimTensor()=default
Default constructor.
A basic R2.
Definition R2.h:42
Rotation stored as modified Rodrigues parameters.
Definition Rot.h:49
The logical fourth order tensor with minor symmetry in the 1st and 2nd dimensions.
Definition SFFR4.h:37
The logical third order tensor with symmetry in the first two dimensions.
Definition SFR3.h:38
The (logical) symmetric second order tensor.
Definition SR2.h:46
SR2 transpose() const
Transpose, no-op.
Definition SR2.cxx:218
SFR3 drotate(const Rot &r) const
Derivative of the rotated tensor w.r.t. the Rodrigues vector.
Definition SR2.cxx:134
Scalar tr() const
Trace.
Definition SR2.cxx:155
SR2 inverse() const
Inversion.
Definition SR2.cxx:212
static SR2 identity(const torch::TensorOptions &options=default_tensor_options())
Identity.
Definition SR2.cxx:110
SR2(const R2 &T)
Symmetrize an R2 then fill.
Definition SR2.cxx:40
Scalar inner(const SR2 &other) const
Double contraction ij,ij.
Definition SR2.cxx:186
SSR4 outer(const SR2 &other) const
Outer product ij,kl -> ijkl.
Definition SR2.cxx:205
Scalar det() const
Determinant.
Definition SR2.cxx:173
SR2 rotate(const Rot &r) const
Rotate.
Definition SR2.cxx:122
SR2 dev() const
Deviatoric part of the tensor.
Definition SR2.cxx:167
Scalar norm_sq() const
Norm squared.
Definition SR2.cxx:193
Scalar operator()(TorchSize i, TorchSize j) const
Accessor.
Definition SR2.cxx:148
Scalar norm(Real eps=0) const
Norm.
Definition SR2.cxx:199
SR2 vol() const
Volumetric part of the tensor.
Definition SR2.cxx:161
static SSR4 identity_map(const torch::TensorOptions &options=default_tensor_options())
The derivative of a SR2 with respect to itself.
Definition SR2.cxx:116
static SR2 fill(const Real &a, const torch::TensorOptions &options=default_tensor_options())
Fill the diagonals with a11 = a22 = a33 = a.
Definition SR2.cxx:46
The (logical) symmetric fourth order tensor, with symmetry in the first two dimensionss as well as in...
Definition SSR4.h:44
The (logical) scalar.
Definition Scalar.h:38
Definition CrossRef.cxx:32
const torch::TensorOptions default_tensor_options()
Definition types.cxx:30
int64_t TorchSize
Definition types.h:33
double Real
Definition types.h:31