plelemqq.cpp

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

    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 (2,coord);
    for (i=0;i<naep;i++){
      Mm->stra.give_aepcoord (sid,i,coord);

      if (Mp->strainaver==0)
	appval (coord[0],coord[1],0,ncp,eps,stra);
      if (Mp->strainaver==1)
	appstrain (lcid,eid,coord[0],coord[1],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 planeelemqq::strains (file %s, line %d).\n",__FILE__,__LINE__);
  }
  }
  
}


/**
   function returns numbers of integration point closest to element nodes
   
   @param eid - element id
   @param ri,ci - row and column indices
   @param ipnum - array of numbers
   
   JK, 25.9.2004
*/
void planeelemqq::nodipnum (long eid,long ri,long ci,ivector &ipnum)
{
  long i,j;
  
  j=intordsm[0][0];
  i=Mt->elements[eid].ipp[ri][ci];

  ipnum[0]=i+8;
  ipnum[1]=i+2;
  ipnum[2]=i+0;
  ipnum[3]=i+6;
  ipnum[4]=i+5;
  ipnum[5]=i+1;
  ipnum[6]=i+3;
  ipnum[7]=i+7;

}

/**
   function computes stresses at integration points
   
   
*/
void planeelemqq::res_ip_stresses (long lcid,long eid)
{
  //mainip_stresses (lcid,eid,0,0);
}

/**
   function computes stresses in integration points of element
   
   @param eid - element id
   @param ri - row index
   @param ci - column index
   
   10.5.2002
*/
void planeelemqq::ip_stresses (long lcid,long eid,long ri,long ci)
{
  /*
  long i,j,jj,ipp;
  double xi,eta;
  vector gp,w,eps,epst,epstt,sig,auxsig;
  matrix d(tncomp,tncomp);

  long ii=0;

  allocv (ncomp[ii],sig);
  allocv (ncomp[ii],auxsig);
  allocv (intordsm[ii][ii],gp);
  allocv (intordsm[ii][ii],w);
  
  gauss_points (gp.a,w.a,intordsm[ii][ii]);
  ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
  
  for (i=0;i<intordsm[ii][ii];i++){
    xi=gp[i];
    for (j=0;j<intordsm[ii][ii];j++){
      eta=gp[j];
      
      Mm->matstiff (d,ipp);
      
      fillv (0.0,sig);
      for (jj=0;jj<nb;jj++){
	allocv (ncomp[jj],eps);
	allocm (ncomp[ii],ncomp[jj],dd);
	
	Mm->givestrain (lcid,ipp,cncomp[jj],ncomp[jj],eps);
	
	dmatblock (ii,jj,d,dd);
	mxv (dd,eps,auxsig);
	addv (auxsig,sig,sig);
	destrm (dd);  destrv (eps);
      }
      
      Mm->storestress (lcid,ipp,cncomp[ii],ncomp[ii],sig);
      
      ipp++;
    }
  }
  
  destrv (w);  destrv (gp);  destrv (auxsig);  destrv (sig);
  */
}


/**
   function computes stresses at nodes of element

   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void planeelemqq::nod_stresses_ip (long lcid,long eid,long ri,long ci)
{
  long i,j;
  ivector ipnum(nne),nod(nne);
  vector sig(tncomp);
  
  //  numbers of integration points closest to nodes
  nodipnum (eid,ri,ci,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);
  }
  
}


void planeelemqq::stresses (long lcid,long eid,long ri,long ci)
{
  vector coord,sig;
  
  switch (Mm->stre.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    //allip_stresses (stre,lcid,eid,ri,ci);
    break;
  }
  case enodes:{
    nod_stresses_ip (lcid,eid,ri,ci);
    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 (2,coord);
    for (i=0;i<naep;i++){
      Mm->stre.give_aepcoord (sid,i,coord);
      
      if (Mp->stressaver==0)
	appval (coord[0],coord[1],0,ncp,sig,stre);
      if (Mp->stressaver==1)
	appstress (lcid,eid,coord[0],coord[1],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
   
   10.5.2002
*/
void planeelemqq::nod_eqother_ip (long lcid,long eid,long ri,long ci)
{
  long i,j,ncompo;
  ivector ipnum(nne),nod(nne);
  vector eqother;
  
  //  numbers of integration points closest to nodes
  nodipnum (eid,ri,ci,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 planeelemqq::compute_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      
      //  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 planeelemqq::compute_nonloc_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      
      //  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 planeelemqq::compute_eigstress (long lcid,long eid,long ri,long ci)
{
  long i,j,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++){
      
      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
   @param x,y - node coordinates
   
   JK, 27.11.2006
*/
void planeelemqq::elem_integration (integratedquant iq,long lcid,long eid,long ri,long ci,vector &nv,vector &x,vector &y)
{
  long i,j,ipp;
  double xi,eta,jac,thick;
  ivector nodes(nne);
  vector w,gp,t(nne),ipv(tncomp),contr(ndofe);
  matrix gm(tncomp,ndofe);
  
  Mc->give_thickness (eid,nodes,t);
  
  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];
      thick = approx (xi,eta,t);
      
      
      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 plelemqq::elem_integration (file %s, line %d).\n",__FILE__,__LINE__);
      }
      }
      
      
      //  strain-displacement (geometric) matrix
      geom_matrix (gm,x,y,xi,eta,jac);
      
      //  contribution to the nodal values
      mtxv (gm,ipv,contr);
      
      cmulv (jac*w[i]*w[j]*thick,contr);
      
      //  summation
      addv(contr,nv,nv);
      
      ipp++;
    }
  }
  destrv (w);  destrv (gp);
}









/**
   function computes nodal forces caused by eigenstrains
   eigenstrain expresses e.g. temperature strains
   
   @param lcid - load case id
   @param eid - element id
   @param nfor - array containing nodal forces
   
   30.11.2002, JK
*/
void planeelemqq::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe),x(nne),y(nne);
  
  Mt->give_node_coord2d (x,y,eid);
  
  eigstrain_forces (lcid,eid,0,0,nfor,x,y);
  
  //  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 nodal forces caused by eigenstrains
   eigenstrain expresses e.g. temperature strains
   
   this function is used in plane stress/strain elements (function is called
   by function res_eigstrain_forces) and shell elements

   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   @param nfor - array containing nodal forces
   @param x,y - nodal coordinates
   
   30.11.2002, JK
*/
void planeelemqq::eigstrain_forces (long lcid,long eid,long ri,long ci,vector &nfor,vector &x,vector &y)
{
  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,x,y);
}  


/**
   function computes internal forces
   
   this function is used in plane stress/strain elements (function is called
   by function res_internal_forces) and shell elements

   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   @param ifor - vector of internal forces
   @param x,y - node coordinates
   
   25.8.2001, JK modified 23.11.2006
*/
void planeelemqq::internal_forces (long lcid,long eid,long ri,long ci,vector &ifor,vector &x,vector &y)
{
  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,x,y);
}

/**
   function computes internal forces
   
   @param lcid - load case id
   @param eid - element id
   @param ifor - internal forces
   
   JK, modified 23.11.2006
*/
void planeelemqq::res_internal_forces (long lcid,long eid,vector &ifor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe),x(nne),y(nne);
  
  Mt->give_node_coord2d (x,y,eid);
  
  internal_forces (lcid,eid,0,0,ifor,x,y);
  
  //  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 returns coordinates of integration points
   
   @param eid - element id
   @param ipp - integration point pointer
   @param ri,ci - row and column indices
   @param coord - vector of coordinates

   10.1.2002
*/
void planeelemqq::ipcoord (long eid,long ipp,long ri,long ci,vector &coord)
{
  long i,j,ii;
  double xi,eta;
  vector x(nne),y(nne),w(intordsm[ri][ci]),gp(intordsm[ri][ci]);
  
  gauss_points (gp.a,w.a,intordsm[ri][ci]);
  Mt->give_node_coord2d (x,y,eid);
  ii=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[ri][ci];i++){
    xi=gp[i];
    for (j=0;j<intordsm[ri][ci];j++){
      eta=gp[j];
      if (ii==ipp){
	coord[0]=approx (xi,eta,x);
	coord[1]=approx (xi,eta,y);
	coord[2]=0.0;
      }
      ii++;
    }
  }
}

/**
   function assembles coordinates of integration points in block [ri][ci]
   
   @param eid - element id
   @param ri - row index
   @param ci - column index
   @param ipcoord - array containing coordinates of integration points
   
   8.5.2002
*/
void planeelemqq::ipcoordblock (long eid,long ri,long ci,double **coord)
{
  long i,j,k;
  double xi,eta;
  vector x(nne),y(nne),w(intordsm[ri][ci]),gp(intordsm[ri][ci]);
  
  gauss_points (gp.a,w.a,intordsm[ri][ci]);
  Mt->give_node_coord2d (x,y,eid);
  
  k=0;
  for (i=0;i<intordsm[ri][ci];i++){
    xi=gp[i];
    for (j=0;j<intordsm[ri][ci];j++){
      eta=gp[j];
      
      coord[k][0]=approx (xi,eta,x);