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// @HEADER
// ************************************************************************
//
//                           Intrepid Package
//                 Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions: Alejandro Mota (amota@sandia.gov)
//
// ************************************************************************
// @HEADER

#if !defined(Intrepid_MiniTensor_Mechanics_i_h)
#define Intrepid_MiniTensor_Mechanics_i_h

namespace Intrepid {

//
// R^N volumetric part of 2nd-order tensor
// \return \f$ \frac{1}{N} \mathrm{tr}\:(A) I \f$
//
template<typename T, Index N>
inline
Tensor<T, N>
vol(Tensor<T, N> const & A)
{
  Index const
  dimension = A.get_dimension();

  T const
  theta = (1.0/dimension) * trace(A);

  return theta * eye<T, N>(dimension);
}

//
// R^N deviatoric part of 2nd-order tensor
// \return \f$ A - vol(A) \f$
//
template<typename T, Index N>
inline
Tensor<T, N>
dev(Tensor<T, N> const & A)
{
  return A - vol(A);
}

} // namespace Intrepid

#endif // Intrepid_MiniTensor_Mechanics_i_h