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mat_law_interface_impl.h
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1/*
2 * Copyright (c) 2014-2015: G-CSC, Goethe University Frankfurt
3 * Author: Raphael Prohl
4 *
5 * This file is part of UG4.
6 *
7 * UG4 is free software: you can redistribute it and/or modify it under the
8 * terms of the GNU Lesser General Public License version 3 (as published by the
9 * Free Software Foundation) with the following additional attribution
10 * requirements (according to LGPL/GPL v3 §7):
11 *
12 * (1) The following notice must be displayed in the Appropriate Legal Notices
13 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
14 *
15 * (2) The following notice must be displayed at a prominent place in the
16 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
17 *
18 * (3) The following bibliography is recommended for citation and must be
19 * preserved in all covered files:
20 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
21 * parallel geometric multigrid solver on hierarchically distributed grids.
22 * Computing and visualization in science 16, 4 (2013), 151-164"
23 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
24 * flexible software system for simulating pde based models on high performance
25 * computers. Computing and visualization in science 16, 4 (2013), 165-179"
26 *
27 * This program is distributed in the hope that it will be useful,
28 * but WITHOUT ANY WARRANTY; without even the implied warranty of
29 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
30 * GNU Lesser General Public License for more details.
31 */
32
33#ifndef MAT_LAW_INTERFACE_IMPL_H_
34#define MAT_LAW_INTERFACE_IMPL_H_
35
36#include "mat_law_interface.h"
37
38namespace ug{
39namespace SmallStrainMechanics{
40
41template<typename TDomain>
42template<typename TFEGeom>
43void
45DisplacementGradient(MathMatrix<dim, dim>& GradU, const size_t ip,
46 const TFEGeom& geo, const LocalVector& u)
47{
48 // loop shape-functions at one integration point ip in order
49 // to compute local_grad(ip,i): \frac{\partial N_i}{\eps_ip}
50 // and global_grad(ip,i): \frac{\partial N_i}{\X_ip}
51
52 for (size_t i = 0; i < (size_t) dim; ++i)
53 for (size_t J = 0; J < (size_t) dim; ++J)
54 {
55 GradU[i][J] = 0.0;
56
57 // compute GradU: displacementGradient
58 for (size_t a = 0; a < geo.num_sh(); ++a)
59 GradU[i][J] += geo.global_grad(ip, a)[J] * u(i, a);
60 }
61}
62
63}// end of namespace SmallStrainMechanics
64}// end of namespace ug
65
66#endif /* MAT_LAW_INTERFACE_IMPL_H_ */
void DisplacementGradient(MathMatrix< dim, dim > &GradU, const size_t ip, const TFEGeom &geo, const LocalVector &u)
Definition mat_law_interface_impl.h:45