quadhex.cpp

Finite element program for mechanical problem. It can solve various problem in solid problem

  for (i=0;i<nne;i++){
    //  geometric matrix
    geom_matrix (gm,x,y,z,nxi[i],neta[i],nzeta[i],jac);
    //  strain computation
    mxv (gm,r,eps);
    
    for (j=0;j<eps.n;j++){
      stra[i][j]=eps[j];
    }
  }

}




void quadhex::strains (long lcid,long eid,long ri,long ci)
{
  long i,naep,ncp,sid;
  vector coord,eps;
  
  switch (Mm->stra.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    //allip_strains (lcid,eid);
    break;
  }
  case enodes:{
    break;
  }
  case userdefined:{
    //  number of auxiliary element points
    naep = Mm->stra.give_naep (eid);
    ncp = Mm->stra.give_ncomp (eid);
    sid = Mm->stra.give_sid (eid);
    allocv (ncp,eps);
    allocv (3,coord);
    for (i=0;i<naep;i++){
      Mm->stra.give_aepcoord (sid,i,coord);

      if (Mp->strainaver==0)
	//appval (coord[0],coord[1],coord[2],0,ncp,eps,stra);
      if (Mp->strainaver==1)
	//appstrain (lcid,eid,coord[0],coord[1],coord[2],0,ncp,eps);
      
      Mm->stra.storevalues(lcid,eid,i,eps);
    }
    destrv (eps);
    destrv (coord);
    break;
  }
  default:{
    fprintf (stderr,"\n\n unknown strain point is required in function planeelemlq::strains (%s, line %d).\n",__FILE__,__LINE__);
  }
  }

}




/**
   function computes stresses at integration points of element
   
   @param lcid - load case id
   @param eid - element id
   
   JK, 10.5.2002
*/
void quadhex::res_ip_stresses (long lcid,long eid)
{
  ip_stresses (lcid,eid,0,0);
}

/**
   function computes stresses at integration points of element
   stresses are computed by material models
   
   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index
   
   10.5.2002, JK
*/
void quadhex::ip_stresses (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  computation of correct stresses
	if (Mp->strcomp==1)
	  Mm->computenlstresses (ipp);
	
	ipp++;
      }
    }
  }
}

/**
   function computes stresses at integration points of element
   stresses are computed from strains with the help of elastic stiffness
   
   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index
   
   JK, 10.5.2002
*/
void quadhex::ip_elast_stresses (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  vector gp,w,eps,sig(tncomp);
  matrix gm(tncomp,ndofe),d(tncomp,tncomp);
  
  allocv (intordsm[0][0],gp);
  allocv (intordsm[0][0],w);
  
  gauss_points (gp.a,w.a,intordsm[0][0]);
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  stiffness matrix of the material
	Mm->matstiff (d,ipp);
	
	//  strains
	Mm->givestrain (lcid,ipp,eps);
	
	//  elastic stresses
	mxv (d,eps,sig);
	
	Mm->storestress (lcid,ipp,sig);
	
	ipp++;
      }
    }
  }
  
  destrv (w);  destrv (gp);

}

/**
   function computes stresses at nodes of element

   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   JK, 27.9.2005
*/
void quadhex::nod_stresses_ip (long lcid,long eid,long ri,long ci)
{
  long i,j,ipp;
  ivector ipnum(nne),nod(nne);
  vector sig(tncomp);
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipp=Mt->elements[eid].ipp[ri][ci];
  nodip_quadhex (ipp,intordsm[0][0],ipnum);
  
  //  node numbers of the element
  Mt->give_elemnodes (eid,nod);
  
  for (i=0;i<nne;i++){
    //  stresses at the closest integration point
    Mm->givestress (lcid,ipnum[i],sig);
    
    //  storage of stresses to the node
    j=nod[i];
    Mt->nodes[j].storestress (lcid,0,sig);
  }
  
}

/**
   function computes stresses in nodes
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   @param stra -
   @param stre -

   10.5.2002
*/
void quadhex::nod_stresses_comp (long lcid,long eid,long ri,long ci,double **stra,double **stre)
{
  long i,j,ipp;
  vector eps(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);
  
  //  number of the first integration point on the element
  ipp=Mt->elements[eid].ipp[ri][ci];
  //  stiffness matrix of the material
  Mm->matstiff (d,ipp);
  
  //  loop over nodes
  for (i=0;i<nne;i++){
    for (j=0;j<eps.n;j++){
      eps[j]=stra[i][j];
    }
    mxv (d,eps,sig);
    for (j=0;j<eps.n;j++){
      stre[i][j]=sig[j];
    }
  }
}







void quadhex::stresses (long lcid,long eid,long ri,long ci)
{
  long i,naep,ncp,sid;
  vector coord,sig;
  
  switch (Mm->stre.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    //allip_stresses (lcid,eid,ri,ci);
    break;
  }
  case enodes:{
    break;
  }
  case userdefined:{
    //  number of auxiliary element points
    naep = Mm->stre.give_naep (eid);
    ncp = Mm->stre.give_ncomp (eid);
    sid = Mm->stre.give_sid (eid);
    allocv (ncp,sig);
    allocv (3,coord);
    for (i=0;i<naep;i++){
      Mm->stre.give_aepcoord (sid,i,coord);
      
      if (Mp->stressaver==0)
	//appval (coord[0],coord[1],coord[2],0,ncp,sig,stre);
      if (Mp->stressaver==1)
	//appstress (lcid,eid,coord[0],coord[1],coord[2],0,ncp,sig);
      
      Mm->stre.storevalues(lcid,eid,i,sig);
    }
    destrv (sig);
    destrv (coord);
    break;
  }
  default:{
    fprintf (stderr,"\n\n unknown stress point is required in function planeelemlq::stresses (%s, line %d).\n",__FILE__,__LINE__);
  }
  }

}


/**
   function computes other values in nodes of element

   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   JK, 24.10.2005
*/
void quadhex::nod_eqother_ip (long lcid,long eid,long ri,long ci)
{
  long i,j,ipp,ncompo;
  ivector ipnum(nne),nod(nne);
  vector eqother;
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipp=Mt->elements[eid].ipp[ri][ci];
  nodip_quadhex (ipp,intordsm[0][0],ipnum);

  
  //  node numbers of the element
  Mt->give_elemnodes (eid,nod);
  
  for (i=0;i<nne;i++){
    //  strains at the closest integration point
    //Mm->givestrain (lcid,ipnum[i],eps);
    
    ncompo = Mm->givencompeqother (ipnum[i],0);
    allocv (ncompo,eqother);
    Mm->giveeqother (ipnum[i],0,ncompo,eqother.a);
    
    //  storage of strains to the node
    j=nod[i];
    Mt->nodes[j].storeother (lcid,0,ncompo,eqother);
    
    destrv (eqother);
  }
}

















/**
   function computes correct stresses at integration points on element

   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   
   JK, 27.11.2006
*/
void quadhex::compute_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  computation of correct stresses
	if (Mp->strcomp==1)
	  Mm->computenlstresses (ipp);
	
	ipp++;
      }
    }
  }
}

/**
   function computes nonlocal correct stresses at integration points on element
   
   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   
   JK, 27.11.2006
*/
void quadhex::compute_nonloc_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  computation of correct stresses
	if (Mp->strcomp==1)
	  Mm->compnonloc_nlstresses (ipp);
	
	ipp++;
      }
    }
  }
}

/**
   function computes nonlocal correct stresses at integration points on element
   
   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   
   JK, 27.11.2006
*/
void quadhex::compute_eigstress (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  vector eigstr(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	Mm->giveeigstrain (ipp,eigstr);
	
	//  matrix of stiffness of the material
	Mm->matstiff (d,ipp);
	
	mxv (d,eigstr,sig);
	
	Mm->storeeigstress (ipp,sig);
	
	ipp++;
      }
    }
  }
}


/**
   function integrates selected quantity over the finite element
   it results in nodal values
   
   @param iq - type of integrated quantity (see alias.h)
   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   @param nv - nodal values
   
   JK, 27.11.2006
*/
void quadhex::elem_integration (integratedquant iq,long lcid,long eid,long ri,long ci,vector &nv)
{
  long i,j,k,ipp;
  double xi,eta,zeta,jac;
  vector x(nne),y(nne),z(nne),w,gp,ipv(tncomp),contr(ndofe);
  matrix gm(tncomp,ndofe);

  Mt->give_node_coord3d (x,y,z,eid);
  
  fillv (0.0,nv);
  
  allocv (intordsm[0][0],gp);
  allocv (intordsm[0][0],w);
  
  gauss_points (gp.a,w.a,intordsm[0][0]);
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    xi=gp[i];
    for (j=0;j<intordsm[0][0];j++){
      eta=gp[j];
      for (k=0;k<intordsm[0][0];k++){
	zeta=gp[k];
	
	switch (iq){
	case locstress:{
	  //  stress reading from integration point
	  Mm->givestress (lcid,ipp,ipv);
	  break;
	}
	case nonlocstress:{
	  //  stress reading from integration point
	  Mm->givestress (lcid,ipp,ipv);
	  break;
	}
	case eigstress:{
	  //  eigenstress reading from integration point
	  Mm->giveeigstress (ipp,ipv);
	  break;
	}
	default:{
	  fprintf (stderr,"\n\n unknown type of quantity is required in function quadhex::elem_integration (file %s, line %d).\n",__FILE__,__LINE__);
	}
	}
	
	
	//  strain-displacement (geometric) matrix
	geom_matrix (gm,x,y,z,xi,eta,zeta,jac);
	
	//  contribution to the internal forces
	mtxv (gm,ipv,contr);
	
	cmulv (jac*w[i]*w[j]*w[k],contr);
	
	//  summation
	addv (contr,nv,nv);
	
	ipp++;
      }
    }
  }
  
  destrv (w);  destrv (gp);
  
}














/**
   function computes internal forces

   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   @param ifor - vector of internal forces
   
   JK, 28.7.2001
*/
void quadhex::internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  integratedquant iq;
  iq=locstress;
  
  //  computation of stresses
  compute_nlstress (lcid,eid,ri,ci);
  
  //  integration of stresses over the element
  elem_integration (iq,lcid,eid,ri,ci,ifor);
}

/**
   function computes internal forces (from correct stresses)
   
   @param lcid - number of load case
   @param eid - element id
   @param ifor - %vector of internal forces
   
   JK, 24.9.2005
*/
void quadhex::res_internal_forces (long lcid,long eid,vector &ifor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe);

  internal_forces (lcid,eid,0,0,ifor);

  //  transformation of nodal forces
  //  (in the case of nodal coordinate systems)
  Mt->give_elemnodes (eid,nodes);
  transf = Mt->locsystems (nodes);
  if (transf>0){
    matrix tmat (ndofe,ndofe);
    transf_matrix (nodes,tmat);
    //globloctransf (ifor,v,tmat);
    glvectortransf (ifor,v,tmat);
    copyv (v,ifor);
  }
}

/**
   function computes contributions from eigenstrains to the right hand side
   
   @param eid - element id
   @param ifor - %vector of internal forces

   JK, 17.8.2004
*/
void quadhex::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe);

  eigstrain_forces (lcid,eid,0,0,nfor);

  //  transformation of nodal forces
  //  (in the case of nodal coordinate systems)
  Mt->give_elemnodes (eid,nodes);
  transf = Mt->locsystems (nodes);
  if (transf>0){
    matrix tmat (ndofe,ndofe);
    transf_matrix (nodes,tmat);
    //globloctransf (nfor,v,tmat);
    glvectortransf (nfor,v,tmat);
    copyv (v,nfor);
  }
}

/**
   function computes contributions from eigenstrains to the right hand side
   
   @param eid - element id
   @param ri,ci - row and column indices
   @param nfor - %vector of nodal forces

   JK, 17.8.2004
*/
void quadhex::eigstrain_forces (long lcid,long eid,long ri,long ci,vector &nfor)
{
  integratedquant iq;
  iq=eigstress;
  
  //  computation of eigenstresses
  compute_eigstress (lcid,eid,ri,ci);
  
  //  integration of stresses over the element
  elem_integration (iq,lcid,eid,ri,ci,nfor);
}