Intrepid
/usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Shared/MiniTensor/Intrepid_MiniTensor_Mechanics.i.h
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00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
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00037 // Questions: Alejandro Mota (amota@sandia.gov)
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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