eshelbySoluLambda.h

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//********************************************************************************************************
// code:                          ###  ###  #####   ####  ##  ##
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//                       ##  ##   ## ## ##  ###    ##     ######
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// name:           eshelbySoluLambda.h
// author(s):      Jan Novak
// language:       C, C++
// license:        This program is free software; you can redistribute it and/or modify
//                 it under the terms of the GNU Lesser General Public License as published by
//                 the Free Software Foundation; either version 2 of the License, or
//                 (at your option) any later version.
//
//                 This program is distributed in the hope that it will be useful,
//                 but WITHOUT ANY WARRANTY; without even the implied warranty of
//                 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//                 GNU Lesser General Public License for more details.
//
//                 You should have received a copy of the GNU Lesser General Public License
//                 along with this program; if not, write to the Free Software
//                 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
//********************************************************************************************************
//eshelbySoluLambda class definition

#ifndef MUMECH_ESHELBY_LAMBDA_SOLU_H
#define MUMECH_ESHELBY_LAMBDA_SOLU_H

#include "types.h"
#include <ccomplex>

namespace mumech {

class eshelbySoluLambda
{
 public:
  eshelbySoluLambda( );
  ~eshelbySoluLambda( );

  //******************************************************************************************************
  //Function gives the lambda value, see Mura's book (1982), page 72-73
  static double giveLambda (const double a[3], const double x[3], InclusionGeometry shape );
  static double giveLambda (const double a[3], const double x1, const double x2, const double x3, InclusionGeometry shape );
  //******************************************************************************************************
  //Function gives generally complex lambda value
  std::complex<double>  giveLambda( const double a[3], std::complex<double> x[3], InclusionGeometry shape );
  //******************************************************************************************************
  //Function gives the first or seccond derivative of Lambda
  double giveLambdaDerivative( const double a[3], const double x[3], double lambda, derivativeDirection direction );
  //******************************************************************************************************
  //Function gives the first or seccond derivative of Lambda
  double giveLambdaDerivative( const double a[3], const double x[3], double lambda, derivativeDirection direction_1,
                   derivativeDirection direction_2 );
  //******************************************************************************************************
  //Function gives the first complex derivative of Lambda
  std::complex<double> c_dLambda( const double a[3], std::complex<double> x[3], std::complex<double> lambda,
                derivativeDirection direction );

 protected:

  //******************************************************************************************************
  //Function gives the first derivative of Lambda
  double giveLambdaFirstDerivative( const double a[3], const double x[3], double lambda,
                    derivativeDirection direction );
  //******************************************************************************************************
  //Function gives the seccond derivative of Lambda
  double giveLambdaSeccondDerivative( const double a[3], const double x[3], double lambda,
                      derivativeDirection direction );

};//end of class declaration

} // end of namespace mumech

#endif

/*end of file*/