Line data Source code
1 : // Copyright 2024, 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)
6 : //
7 : // Permission is hereby granted, free of charge, to any person obtaining a copy
8 : // of this software and associated documentation files (the "Software"), to deal
9 : // in the Software without restriction, including without limitation the rights
10 : // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
11 : // copies of the Software, and to permit persons to whom the Software is
12 : // furnished to do so, subject to the following conditions:
13 : //
14 : // The above copyright notice and this permission notice shall be included in
15 : // all copies or substantial portions of the Software.
16 : //
17 : // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
18 : // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
19 : // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
20 : // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
21 : // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
22 : // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
23 : // THE SOFTWARE.
24 :
25 : #include "neml2/models/solid_mechanics/elasticity/GreenLagrangeStrain.h"
26 : #include "neml2/tensors/SR2.h"
27 : #include "neml2/tensors/R2.h"
28 : #include "neml2/tensors/mandel_notation.h"
29 :
30 : namespace neml2
31 : {
32 : register_NEML2_object(GreenLagrangeStrain);
33 :
34 : OptionSet
35 2 : GreenLagrangeStrain::expected_options()
36 : {
37 2 : OptionSet options = Model::expected_options();
38 2 : options.doc() =
39 : "Green-Lagrange strain, \\f$ E = \\frac{1}{2} (C - I) \\f$, where \\f$ C = F^T F \\f$ "
40 2 : "is the right Cauchy-Green tensor and \\f$ I \\f$ is the identity tensor.";
41 :
42 6 : options.set_input("deformation_gradient") = VariableName(FORCES, "F");
43 2 : options.set("deformation_gradient").doc() = "The deformation gradient";
44 :
45 6 : options.set_output("strain") = VariableName(STATE, "E");
46 2 : options.set("strain").doc() = "The Green-Lagrange strain";
47 :
48 2 : return options;
49 0 : }
50 :
51 1 : GreenLagrangeStrain::GreenLagrangeStrain(const OptionSet & options)
52 : : Model(options),
53 1 : _E(declare_output_variable<SR2>("strain")),
54 2 : _F(declare_input_variable<R2>("deformation_gradient"))
55 : {
56 1 : }
57 :
58 : void
59 2 : GreenLagrangeStrain::set_value(bool out, bool dout_din, bool /*d2out_din2*/)
60 : {
61 2 : if (out)
62 : {
63 1 : const auto C = R2(_F).transpose() * _F;
64 1 : _E = 0.5 * (SR2(C) - SR2::identity(_F.options()));
65 1 : }
66 :
67 2 : if (dout_din)
68 : {
69 1 : const auto I = R2::identity(_F.options());
70 6 : const auto dC_dF = R4(at::einsum("...jm,...ni,...jk", {I, I, _F})) +
71 7 : R4(at::einsum("...jm,...nk,...ji", {I, I, _F}));
72 1 : _E.d(_F) = 0.5 * full_to_mandel(dC_dF);
73 1 : }
74 6 : }
75 :
76 : } // namespace neml2
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