NonlinearElasticitySolver.hpp

00001 /*
00002 
00003 Copyright (C) University of Oxford, 2005-2010
00004 
00005 University of Oxford means the Chancellor, Masters and Scholars of the
00006 University of Oxford, having an administrative office at Wellington
00007 Square, Oxford OX1 2JD, UK.
00008 
00009 This file is part of Chaste.
00010 
00011 Chaste is free software: you can redistribute it and/or modify it
00012 under the terms of the GNU Lesser General Public License as published
00013 by the Free Software Foundation, either version 2.1 of the License, or
00014 (at your option) any later version.
00015 
00016 Chaste is distributed in the hope that it will be useful, but WITHOUT
00017 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
00018 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
00019 License for more details. The offer of Chaste under the terms of the
00020 License is subject to the License being interpreted in accordance with
00021 English Law and subject to any action against the University of Oxford
00022 being under the jurisdiction of the English Courts.
00023 
00024 You should have received a copy of the GNU Lesser General Public License
00025 along with Chaste. If not, see <http://www.gnu.org/licenses/>.
00026 
00027 */
00028 #ifndef NONLINEARELASTICITYSOLVER_HPP_
00029 #define NONLINEARELASTICITYSOLVER_HPP_
00030 
00031 /*
00032  * NOTE ON COMPILATION ERRORS:
00033  *
00034  * This file won't compile with Intel icpc version 9.1.039, with error message:
00035  * "Terminate with:
00036   (0): internal error: backend signals"
00037  *
00038  * Try recompiling with icpc version 10.0.025.
00039  */
00040 
00041 
00043 
00044 #include "AbstractNonlinearElasticitySolver.hpp"
00045 //#include "LinearBasisFunction.hpp"
00046 //#include "QuadraticBasisFunction.hpp"
00047 #include "QuadraticMesh.hpp"
00048 #include "GaussianQuadratureRule.hpp"
00049 
00060 template<size_t DIM>
00061 class NonlinearElasticitySolver : public AbstractNonlinearElasticitySolver<DIM>
00062 {
00063     friend class TestNonlinearElasticitySolver;
00064 
00065 protected:
00066 
00068     static const size_t NUM_VERTICES_PER_ELEMENT = DIM+1;
00070     static const size_t NUM_NODES_PER_ELEMENT = (DIM+1)*(DIM+2)/2; // assuming quadratic
00072     static const size_t STENCIL_SIZE = DIM*NUM_NODES_PER_ELEMENT + NUM_VERTICES_PER_ELEMENT;
00074     static const size_t NUM_NODES_PER_BOUNDARY_ELEMENT = DIM*(DIM+1)/2;
00076     static const size_t BOUNDARY_STENCIL_SIZE = DIM*NUM_NODES_PER_BOUNDARY_ELEMENT + DIM;
00077 
00082     QuadraticMesh<DIM>* mpQuadMesh;
00083 
00085     std::vector<BoundaryElement<DIM-1,DIM>*> mBoundaryElements;
00086 
00088     GaussianQuadratureRule<DIM>* mpQuadratureRule;
00089 
00091     GaussianQuadratureRule<DIM-1>* mpBoundaryQuadratureRule;
00092 
00110     virtual void AssembleOnElement(Element<DIM, DIM>& rElement,
00111                                    c_matrix<double, STENCIL_SIZE, STENCIL_SIZE >& rAElem,
00112                                    c_matrix<double, STENCIL_SIZE, STENCIL_SIZE >& rAElemPrecond,
00113                                    c_vector<double, STENCIL_SIZE>& rBElem,
00114                                    bool assembleResidual,
00115                                    bool assembleJacobian);
00116 
00133     virtual void AssembleOnBoundaryElement(BoundaryElement<DIM-1, DIM>& rBoundaryElement,
00134                                            c_matrix<double, BOUNDARY_STENCIL_SIZE, BOUNDARY_STENCIL_SIZE>& rAelem,
00135                                            c_vector<double, BOUNDARY_STENCIL_SIZE>& rBelem,
00136                                            c_vector<double, DIM>& rTraction,
00137                                            bool assembleResidual,
00138                                            bool assembleJacobian);
00139 
00156     void FormInitialGuess();
00157 
00167     void AssembleSystem(bool assembleResidual, bool assembleJacobian);
00168 
00174     void Initialise(std::vector<c_vector<double,DIM> >* pFixedNodeLocations);
00175 
00180     void AllocateMatrixMemory();
00181     
00200     virtual void ComputeStressAndStressDerivative(AbstractIncompressibleMaterialLaw<DIM>* pMaterialLaw,
00201                                                   c_matrix<double,DIM,DIM>& rC, 
00202                                                   c_matrix<double,DIM,DIM>& rInvC,
00203                                                   double pressure,
00204                                                   unsigned elementIndex,
00205                                                   unsigned currentQuadPointGlobalIndex,
00206                                                   c_matrix<double,DIM,DIM>& rT,
00207                                                   FourthOrderTensor<DIM,DIM,DIM,DIM>& rDTdE,
00208                                                   bool computeDTdE);
00209 
00210 public:
00211 
00225     NonlinearElasticitySolver(QuadraticMesh<DIM>* pQuadMesh,
00226                               AbstractIncompressibleMaterialLaw<DIM>* pMaterialLaw,
00227                               c_vector<double,DIM> bodyForce,
00228                               double density,
00229                               std::string outputDirectory,
00230                               std::vector<unsigned>& fixedNodes,
00231                               std::vector<c_vector<double,DIM> >* pFixedNodeLocations = NULL);
00232 
00244     NonlinearElasticitySolver(QuadraticMesh<DIM>* pQuadMesh,
00245                               std::vector<AbstractIncompressibleMaterialLaw<DIM>*>& rMaterialLaws,
00246                               c_vector<double,DIM> bodyForce,
00247                               double density,
00248                               std::string outputDirectory,
00249                               std::vector<unsigned>& fixedNodes,
00250                               std::vector<c_vector<double,DIM> >* pFixedNodeLocations = NULL);
00251 
00253     ~NonlinearElasticitySolver();
00254 
00263     void SetSurfaceTractionBoundaryConditions(std::vector<BoundaryElement<DIM-1,DIM>*>& rBoundaryElements,
00264                                               std::vector<c_vector<double,DIM> >& rSurfaceTractions);
00265 
00273     void SetFunctionalTractionBoundaryCondition(std::vector<BoundaryElement<DIM-1,DIM>*> rBoundaryElements,
00274                                                 c_vector<double,DIM> (*pFunction)(c_vector<double,DIM>&));
00275 
00276 
00280     std::vector<double>& rGetPressures();
00281 
00285     std::vector<c_vector<double,DIM> >& rGetDeformedPosition();
00286 };
00287 
00288 #endif /*NONLINEARELASTICITYSOLVER_HPP_*/

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