/usr/include/ITK-4.5/itkFEMElement3DC0LinearHexahedron.h 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 __itkFEMElement3DC0LinearHexahedron_h
#define __itkFEMElement3DC0LinearHexahedron_h
#include "itkFEMElementStd.h"
namespace itk
{
namespace fem
{
/**
* \class Element3DC0LinearHexahedron
* \brief 8-noded, linear, C0 continuous finite element in 3D space.
*
*
* The ordering of the nodes should be defined in the following order:
*
* 5 (0,1,1) 6 (1,1,1)
* *------------------------*
* /| /|
* / | / |
* / | / |
* / | / |
* / | (1,1,0) 7 / |
* (0,1,0) 4*------------------------* |
* | 1* ---------------- | ----*2 (1,0,1)
* | / (0,0,1) | /
* | / | /
* | / | /
* | / | /
* |/ |/
* *------------------------*
* 0 3
* (0,0,0) (1,0)
*
*
* This is an abstract class. Specific concrete implemenations of this
* It must be combined with the physics component of the problem.
* This has already been done in the following classes:
*
* \sa Element3DC0LinearHexahedronMembrane
* \sa Element3DC0LinearHexahedronStrain
*
* \ingroup ITKFEM
*/
class Element3DC0LinearHexahedron : public ElementStd<8, 3>
{
public:
/** Standard class typedefs. */
typedef Element3DC0LinearHexahedron Self;
typedef ElementStd<8, 3> TemplatedParentClass;
typedef TemplatedParentClass Superclass;
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
/** Run-time type information (and related methods). */
itkTypeMacro(Element3DC0LinearHexahedron, TemplatedParentClass);
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to numeric integration
*/
virtual void GetIntegrationPointAndWeight(unsigned int i, VectorType & pt, Float & w, unsigned int order) const;
virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const;
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to the geometry of an element
*/
/** Return the shape functions used to interpolate across the element */
virtual VectorType ShapeFunctions(const VectorType & pt) const;
/** Return the shape functions derivatives in the shapeD matrix */
virtual void ShapeFunctionDerivatives(const VectorType & pt, MatrixType & shapeD) const;
/** Convert from global to local coordinates */
virtual bool GetLocalFromGlobalCoordinates(const VectorType & globalPt, VectorType & localPt) const;
/**
* Methods used in computing parametric/local coordinates given global coordinates.
*/
void InterpolationFunctions( const VectorType & pcoords, VectorType & sf) const;
void InterpolationDerivs(const VectorType & pcoords, VectorType & derivs) const;
Float Determinant3x3(const VectorType & c1, const VectorType & c2, const VectorType & c3) const;
protected:
virtual void PrintSelf(std::ostream& os, Indent indent) const;
virtual void PopulateEdgeIds(void);
};
}
} // end namespace itk::fem
#endif // #ifndef __itkFEMElement3DC0LinearHexahedron_h
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