Tlinear_elasticity_elements.h

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//LIC// ====================================================================
//LIC// This file forms part of oomph-lib, the object-oriented, 
//LIC// multi-physics finite-element library, available 
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//LIC// 
//LIC//    Version 1.0; svn revision $LastChangedRevision$
//LIC//
//LIC// $LastChangedDate$
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//LIC// Copyright (C) 2006-2016 Matthias Heil and Andrew Hazel
//LIC// 
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//LIC//====================================================================
//Header file for Tri/Tet linear elasticity elements
#ifndef OOMPH_TLINEAR_ELASTICITY_ELEMENTS_HEADER
#define OOMPH_TLINEAR_ELASTICITY_ELEMENTS_HEADER


// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
  #include <oomph-lib-config.h>
#endif


//OOMPH-LIB headers
#include "../generic/nodes.h"
#include "../generic/oomph_utilities.h"
#include "../generic/Telements.h"
#include "linear_elasticity_elements.h"
#include "../generic/error_estimator.h"


namespace oomph
{

/////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////
// TLinearElasticityElement
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////



//======================================================================
/// TLinearElasticityElement<DIM,NNODE_1D> elements are 
/// isoparametric triangular 
/// DIM-dimensional LinearElasticity elements with  
/// NNODE_1D nodal points along each
/// element edge. Inherits from TElement and LinearElasticityEquations
//======================================================================
template <unsigned DIM, unsigned NNODE_1D>
 class TLinearElasticityElement : public virtual TElement<DIM,NNODE_1D>, 
 public virtual LinearElasticityEquations<DIM>,
 public virtual ElementWithZ2ErrorEstimator
 {
  
   public:
  
  ///\short  Constructor: Call constructors for TElement and 
  /// LinearElasticity equations
   TLinearElasticityElement() : TElement<DIM,NNODE_1D>(), 
   LinearElasticityEquations<DIM>() { }
  
  
  /// Broken copy constructor
 TLinearElasticityElement(const TLinearElasticityElement<DIM,NNODE_1D>& dummy) 
  { 
   BrokenCopy::broken_copy("TLinearElasticityElement");
  } 
 
 /// Broken assignment operator
//Commented out broken assignment operator because this can lead to a conflict warning
//when used in the virtual inheritence hierarchy. Essentially the compiler doesn't
//realise that two separate implementations of the broken function are the same and so,
//quite rightly, it shouts.
 /*void operator=(const TLinearElasticityElement<DIM,NNODE_1D>&) 
  {
   BrokenCopy::broken_assign("TLinearElasticityElement");
   }*/
 
 /// \short Output function:  
 void output(std::ostream &outfile)
 {
  LinearElasticityEquations<DIM>::output(outfile);
  }

 ///  \short Output function:  
 void output(std::ostream &outfile, const unsigned &nplot)
  {
   LinearElasticityEquations<DIM>::output(outfile,nplot);
  }


 /// \short C-style output function:  
 void output(FILE* file_pt)
  {
   LinearElasticityEquations<DIM>::output(file_pt);
  }

 ///  \short C-style output function:  
 void output(FILE* file_pt, const unsigned &n_plot)
  {
   LinearElasticityEquations<DIM>::output(file_pt,n_plot);
  }

 /// \short Number of vertex nodes in the element
 unsigned nvertex_node() const
 {return TElement<DIM,NNODE_1D>::nvertex_node();}
 
 /// \short Pointer to the j-th vertex node in the element
 Node* vertex_node_pt(const unsigned& j) const
 {
  return TElement<DIM,NNODE_1D>::vertex_node_pt(j);
 }
 
 /// \short Order of recovery shape functions for Z2 error estimation:
 /// Same order as shape functions.
 unsigned nrecovery_order() {return NNODE_1D-1;}

 /// Number of 'flux' terms for Z2 error estimation 
 unsigned num_Z2_flux_terms()
 {
  // DIM Diagonal strain rates and DIM*(DIM-1)/2 off diagonal terms
  return (DIM + DIM*(DIM-1)/2);
 }
 
 /// \short Get 'flux' for Z2 error recovery:   Upper triangular entries
 /// in strain tensor.
 void get_Z2_flux(const Vector<double>& s, Vector<double>& flux) 
 {
#ifdef PARANOID
  unsigned num_entries=(DIM+((DIM*DIM)-DIM)/2);
  if (flux.size()!=num_entries)
   {
    std::ostringstream error_message;
    error_message << "The flux vector has the wrong number of entries, " 
                  << flux.size() << ", whereas it should be " 
                  << num_entries << std::endl;
    throw OomphLibError(
     error_message.str(),
     OOMPH_CURRENT_FUNCTION,
     OOMPH_EXCEPTION_LOCATION);
   }
#endif
  
  // Get strain matrix
  DenseMatrix<double> strain(DIM);
  this->get_strain(s,strain);
  
  // Pack into flux Vector
  unsigned icount=0;
  
  // Start with diagonal terms
  for(unsigned i=0;i<DIM;i++)
   {
    flux[icount]=strain(i,i);
    icount++;
   }
  
  //Off diagonals row by row
  for(unsigned i=0;i<DIM;i++)
   {
    for(unsigned j=i+1;j<DIM;j++)
     {
      flux[icount]=strain(i,j);
      icount++;
     }
   }
 }
};

//=======================================================================
/// Face geometry for the TLinearElasticityElement elements: The spatial 
/// dimension of the face elements is one lower than that of the
/// bulk element but they have the same number of points
/// along their 1D edges.
//=======================================================================
template<unsigned DIM, unsigned NNODE_1D>
class FaceGeometry<TLinearElasticityElement<DIM,NNODE_1D> >: 
 public virtual TElement<DIM-1,NNODE_1D>
{

  public:
 
 /// \short Constructor: Call the constructor for the
 /// appropriate lower-dimensional QElement
 FaceGeometry() : TElement<DIM-1,NNODE_1D>() {}

};

//=======================================================================
/// Face geometry for the 1D TLinearElasticityElement elements: Point elements
//=======================================================================
template<unsigned NNODE_1D>
class FaceGeometry<TLinearElasticityElement<1,NNODE_1D> >: 
 public virtual PointElement
{

  public:
 
 /// \short Constructor: Call the constructor for the
 /// appropriate lower-dimensional TElement
 FaceGeometry() : PointElement() {}

};


}

#endif