/usr/include/ITK-4.5/itkFEMElement1DStress.hxx is in libinsighttoolkit4-dev 4.5.0-3.
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*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef __itkFEMElement1DStress_hxx
#define __itkFEMElement1DStress_hxx
#include "itkFEMElement1DStress.h"
#include "itkFEMMaterialLinearElasticity.h"
namespace itk
{
namespace fem
{
template <typename TBaseClass>
Element1DStress<TBaseClass>
::Element1DStress() : Superclass(), m_mat(0)
{
}
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to the physics of the problem.
*/
template <typename TBaseClass>
void
Element1DStress<TBaseClass>
::GetStrainDisplacementMatrix(MatrixType & B, const MatrixType & shapeDgl) const
{
B.set_size(1, 2);
// Copy the shape function derivatives to the B matrix.
B[0][0] = shapeDgl[0][0];
B[0][1] = shapeDgl[0][1];
}
template <typename TBaseClass>
void
Element1DStress<TBaseClass>
::GetMaterialMatrix(MatrixType & D) const
{
D.set_size(1, 1);
D.fill(0.0);
// Material properties matrix is a scalar
D[0][0] = m_mat->GetYoungsModulus() * m_mat->GetCrossSectionalArea();
}
template <typename TBaseClass>
void
Element1DStress<TBaseClass>
::GetStiffnessMatrix(MatrixType & Ke) const
{
const unsigned int Ndims = this->GetNumberOfSpatialDimensions();
const unsigned int Nn = this->GetNumberOfNodes();
// First we obtain the Ke by calling the parent's
// GetStiffnessMatrix function. This is the stiffness matrix
// with only one DOF per node.
Superclass::GetStiffnessMatrix(Ke);
// Calculate the nodal displacement transformation matrix according
// to the number of dimensions in global coordinate system
MatrixType T(2, 2 * Ndims, 0.0);
VectorType d = this->GetNodeCoordinates(1) - this->GetNodeCoordinates(0);
d = d / d.magnitude();
for( unsigned int i = 0; i < Ndims; i++ )
{
for( unsigned int n = 0; n < Nn; n++ )
{
T[n][n * Ndims + i] = d[i];
}
}
// Apply the nodal displacement transformation matrix to original
// element stiffness matrix to obtain the element stiffness
// matrix in global coordinates.
Ke = T.transpose() * Ke * T;
}
template <typename TBaseClass>
void
Element1DStress<TBaseClass>
::PrintSelf(std::ostream& os, Indent indent) const
{
Superclass::PrintSelf(os, indent);
os << indent << "Young Modulus: " << this->m_mat << std::endl;
}
}
} // end namespace itk::fem
#endif // #ifndef __itkFEMElement1DStress_hxx
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