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Intrepid
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00001 // @HEADER 00002 // ************************************************************************ 00003 // 00004 // Intrepid Package 00005 // Copyright (2007) Sandia Corporation 00006 // 00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00008 // license for use of this work by or on behalf of the U.S. Government. 00009 // 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. 00024 // 00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00036 // 00037 // Questions: Alejandro Mota (amota@sandia.gov) 00038 // 00039 // ************************************************************************ 00040 // @HEADER 00041 00042 #if !defined(Intrepid_MiniTensor_Mechanics_i_h) 00043 #define Intrepid_MiniTensor_Mechanics_i_h 00044 00045 namespace Intrepid { 00046 00047 // 00048 // R^N volumetric part of 2nd-order tensor 00049 // \return \f$ \frac{1}{N} \mathrm{tr}\:(A) I \f$ 00050 // 00051 template<typename T, Index N> 00052 inline 00053 Tensor<T, N> 00054 vol(Tensor<T, N> const & A) 00055 { 00056 Index const 00057 dimension = A.get_dimension(); 00058 00059 T const 00060 theta = (1.0/dimension) * trace(A); 00061 00062 return theta * eye<T, N>(dimension); 00063 } 00064 00065 // 00066 // R^N deviatoric part of 2nd-order tensor 00067 // \return \f$ A - vol(A) \f$ 00068 // 00069 template<typename T, Index N> 00070 inline 00071 Tensor<T, N> 00072 dev(Tensor<T, N> const & A) 00073 { 00074 return A - vol(A); 00075 } 00076 00077 } // namespace Intrepid 00078 00079 #endif // Intrepid_MiniTensor_Mechanics_i_h
1.7.6.1