Chaste Release::3.1
CompressibleMooneyRivlinMaterialLaw.hpp
00001 /*
00002 
00003 Copyright (c) 2005-2012, University of Oxford.
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00010 This file is part of Chaste.
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00035 
00036 
00037 #ifndef COMPRESSIBLEMOONEYRIVLINMATERIALLAW_HPP_
00038 #define COMPRESSIBLEMOONEYRIVLINMATERIALLAW_HPP_
00039 
00040 #include "AbstractIsotropicCompressibleMaterialLaw.hpp"
00041 #include "Exception.hpp"
00042 
00043 
00044 
00065 template<unsigned DIM>
00066 class CompressibleMooneyRivlinMaterialLaw : public AbstractIsotropicCompressibleMaterialLaw<DIM>
00067 {
00068 private:
00069 
00071     double mC1;
00072 
00074     double mC3;
00075 
00077     static const double mMinusOneOverDimension = -1.0/DIM;
00078 
00079 public:
00080 
00088     double Get_dW_dI1(double I1, double I2, double I3)
00089     {
00090         return mC1 * pow(I3, mMinusOneOverDimension);
00091     }
00092 
00100     double Get_dW_dI2(double I1, double I2, double I3)
00101     {
00102         return 0.0;
00103     }
00104 
00112     double Get_dW_dI3(double I1, double I2, double I3)
00113     {
00114         return     mC1*I1*mMinusOneOverDimension*pow(I3,mMinusOneOverDimension - 1)
00115                 +  mC3*(1 - pow(I3,-0.5));
00116     }
00117 
00125     double Get_d2W_dI1(double I1, double I2, double I3)
00126     {
00127         return 0.0;
00128     }
00129 
00130 
00138     double Get_d2W_dI2(double I1, double I2, double I3)
00139     {
00140         return 0.0;
00141     }
00142 
00143 
00151     double Get_d2W_dI3(double I1, double I2, double I3)
00152     {
00153         return    mC1*I1*mMinusOneOverDimension*(mMinusOneOverDimension - 1)*pow(I3,mMinusOneOverDimension - 2)
00154                 + 0.5*mC3*pow(I3,-1.5);
00155     }
00156 
00157 
00158 
00166     double Get_d2W_dI2I3(double I1, double I2, double I3)
00167     {
00168         return 0.0;
00169     }
00170 
00171 
00179     double Get_d2W_dI1I3(double I1, double I2, double I3)
00180     {
00181         return mC1*mMinusOneOverDimension*pow(I3,mMinusOneOverDimension-1);
00182     }
00183 
00184 
00192     double Get_d2W_dI1I2(double I1, double I2, double I3)
00193     {
00194         return 0.0;
00195     }
00196 
00197 
00199     double GetC1()
00200     {
00201         return mC1;
00202     }
00203 
00205     double GetC3()
00206     {
00207         return mC3;
00208     }
00209 
00216     CompressibleMooneyRivlinMaterialLaw(double c1, double c3)
00217     {
00218         assert(c1 > 0.0);
00219         mC1 = c1;
00220         mC3 = c3;
00221     }
00222 
00228     void ScaleMaterialParameters(double scaleFactor)
00229     {
00230         assert(scaleFactor > 0.0);
00231         mC1 /= scaleFactor;
00232         mC3 /= scaleFactor;
00233     }
00234 };
00235 
00236 
00237 #endif /*COMPRESSIBLEMOONEYRIVLINMATERIALLAW_HPP_*/