Intrepid: /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Shared/MiniTensor/Intrepid_MiniTensor

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00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
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00010 // Redistribution and use in source and binary forms, with or without
00011 // modification, are permitted provided that the following conditions are
00012 // met:
00013 //
00014 // 1. Redistributions of source code must retain the above copyright
00015 // notice, this list of conditions and the following disclaimer.
00016 //
00017 // 2. Redistributions in binary form must reproduce the above copyright
00018 // notice, this list of conditions and the following disclaimer in the
00019 // documentation and/or other materials provided with the distribution.
00020 //
00021 // 3. Neither the name of the Corporation nor the names of the
00022 // contributors may be used to endorse or promote products derived from
00023 // this software without specific prior written permission.
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00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
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00037 // Questions: Alejandro Mota (amota@sandia.gov)
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00040 // @HEADER
00041 
00042 #if !defined(Intrepid_MiniTensor_Mechanics_h)
00043 #define Intrepid_MiniTensor_Mechanics_h
00044 
00045 #include "Intrepid_MiniTensor_Tensor.h"
00046 
00047 namespace Intrepid {
00048 
00054 template<typename T, Index N>
00055 Tensor<T, N>
00056 vol(Tensor<T, N> const & A);
00057 
00063 template<typename T, Index N>
00064 Tensor<T, N>
00065 dev(Tensor<T, N> const & A);
00066 
00072 template<typename T, Index N>
00073 Vector<T, N>
00074 push_forward_covariant(Tensor<T, N> const & F, Vector<T, N> const & u);
00075 
00081 template<typename T, Index N>
00082 Vector<T, N>
00083 pull_back_covariant(Tensor<T, N> const & F, Vector<T, N> const & u);
00084 
00090 template<typename T, Index N>
00091 Vector<T, N>
00092 push_forward_contravariant(Tensor<T, N> const & F, Vector<T, N> const & u);
00093 
00099 template<typename T, Index N>
00100 Vector<T, N>
00101 pull_back_contravariant(Tensor<T, N> const & F, Vector<T, N> const & u);
00102 
00108 template<typename T, Index N>
00109 Tensor<T, N>
00110 push_forward_covariant(Tensor<T, N> const & F, Tensor<T, N> const & A);
00111 
00117 template<typename T, Index N>
00118 Tensor<T, N>
00119 pull_back_covariant(Tensor<T, N> const & F, Tensor<T, N> const & A);
00120 
00126 template<typename T, Index N>
00127 Tensor<T, N>
00128 push_forward_contravariant(Tensor<T, N> const & F, Tensor<T, N> const & A);
00129 
00135 template<typename T, Index N>
00136 Tensor<T, N>
00137 pull_back_contravariant(Tensor<T, N> const & F, Tensor<T, N> const & A);
00138 
00144 template<typename T, Index N>
00145 Vector<T, N>
00146 piola(Tensor<T, N> const & F, Vector<T, N> const & u);
00147 
00153 template<typename T, Index N>
00154 Vector<T, N>
00155 piola_inverse(Tensor<T, N> const & F, Vector<T, N> const & u);
00156 
00163 template<typename T, Index N>
00164 Tensor<T, N>
00165 piola(Tensor<T, N> const & F, Tensor<T, N> const & sigma);
00166 
00173 template<typename T, Index N>
00174 Tensor<T, N>
00175 piola_inverse(Tensor<T, N> const & F, Tensor<T, N> const & P);
00176 
00180 template<typename T, Index N>
00181 T
00182 smallest_eigenvalue(Tensor<T, N> const & A);
00183 
00192 template<typename T, Index N>
00193 bool
00194 check_strict_ellipticity(Tensor4<T, N> const & A);
00195 
00202 template<typename T, Index N>
00203 std::pair<bool, Vector<T, N> >
00204 check_strong_ellipticity(Tensor4<T, N> const & A);
00205 
00206 } // namespace Intrepid
00207 
00208 #include "Intrepid_MiniTensor_Mechanics.i.h"
00209 #include "Intrepid_MiniTensor_Mechanics.t.h"
00210 
00211 #endif // Intrepid_MiniTensor_Mechanics_h