plelemqt.cpp

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

    allocv (intordsm[ii][ii],gp2);
    allocv (intordsm[ii][ii],w);
    allocv (ncomp[ii],sig);
    allocv (ncomp[ii],auxsig);
    lhs = new double [ncomp[ii]*3];
    rhs = new double [ncomp[ii]*3];
    gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ii][ii]);
    
    nullv (lsm,9);
    nullv (rhs,ncomp[ii]*3);
    
    ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
    
    for (i=0;i<intordsm[ii][ii];i++){
      
      Mm->matstiff (d,ipp);
      
      fillv (0.0,sig);
      for (jj=0;jj<nb;jj++){
	allocv (ncomp[jj],eps);
	allocm (ncomp[ii],ncomp[jj],dd);

	if (Mp->strainaver==0)
	  appval (gp1[i],gp2[i],cncomp[jj],ncomp[jj],eps,stra);
	if (Mp->strainaver==1)
	  appstrain (lcid,eid,gp1[i],gp2[i],cncomp[jj],ncomp[jj],eps);
	
	/*
	if (Mt->elements[eid].presctemp==1){
	  allocv (tncomp,epstt);
	  tempstrains (lcid,eid,ipp,gp1[i],gp2[i],epstt);
	  allocv (ncomp[jj],epst);
	  extract (epst,epstt,cncomp[jj],ncomp[jj]);
	  subv (eps,epst,eps);
	  destrv (epst);  destrv (epstt);
	}
	*/

	dmatblock (ii,jj,d,dd);
	mxv (dd,eps,auxsig);
	addv (auxsig,sig,sig);
	destrm (dd);  destrv (eps);
      }
      
      natcoord[0]=gp1[i];  natcoord[1]=gp2[i];
      matassem_lsm (lsm,natcoord);
      rhsassem_lsm (rhs,natcoord,sig);

      ipp++;
    }
    
    solve_lsm (lsm,lhs,rhs,Mp->zero,3,ncomp[ii]);
    nodal_values (stre,nxi,neta,nxi,lhs,2,cncomp[ii],ncomp[ii]);
    
    delete [] lhs;  delete [] rhs;
    destrv (auxsig);  destrv (sig);  destrv (eps);  destrv (w);  destrv (gp2);  destrv (gp1);
  }
  
  delete [] lsm;
}

/**
   function computes stresses in arbitrary point on element
   
   @param lcid - load case id
   @param eid - element id
   @param xi,eta - natural coordinates
   @param fi,li - first and last indices
   @param sig - array containing stresses

   11.5.2002
*/
void planeelemqt::appstress (long lcid,long eid,double xi,double eta,long fi,long ncomp,vector &sig)
{
  long i,j,k;
  ivector nodes;
  vector nodval;
  
  if (ncomp != sig.n){
    fprintf (stderr,"\n\n wrong interval of indices in function stress (%s, line %d).\n",__FILE__,__LINE__);
    abort ();
  }

  allocv (nne,nodes);
  allocv (nne,nodval);
  
  Mt->give_elemnodes (eid,nodes);
  k=0;
  for (i=fi;i<fi+ncomp;i++){
    for (j=0;j<nne;j++){
      nodval[j]=Mt->nodes[nodes[j]].stress[lcid*tncomp+i];
    }
    sig[k]=approx (xi,eta,nodval);
    k++;
  }
  
  destrv (nodes);  destrv (nodval);
}

/**
   function computes stresses in all integration points
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices

   10.5.2002
*/
void planeelemqt::allip_stresses (double **stre,long lcid,long eid,long ri,long ci)
{
  long i,ii,jj,ipp;
  vector sig(tncomp),gp1,gp2,w;
  
  for (ii=0;ii<nb;ii++){
    for (jj=0;jj<nb;jj++){
      if (intordsm[ii][jj]==0)  continue;
      
      allocv (intordsm[ii][jj],gp1);
      allocv (intordsm[ii][jj],gp2);
      allocv (intordsm[ii][jj],w);
      gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ii][jj]);
      ipp=Mt->elements[eid].ipp[ri+ii][ci+jj];
      
      for (i=0;i<intordsm[ii][jj];i++){
	
	if (Mp->stressaver==0)
	  appval (gp1[i],gp2[i],0,tncomp,sig,stre);
	if (Mp->stressaver==1)
	  appstress (lcid,eid,gp1[i],gp2[i],0,tncomp,sig);
	
	Mm->storestress (lcid,ipp,sig);
	ipp++;
      }
      destrv (w);  destrv (gp2);  destrv (gp1);
    }
  }
}

void planeelemqt::stresses (long lcid,long eid,long ri,long ci)
{
  long i,naep,ncp,sid;
  double **stra,**stre;
  vector coord,sig;
  
  if (Mp->stressaver==0){
    stra = new double* [nne];
    stre = new double* [nne];
    for (i=0;i<nne;i++){
      stra[i] = new double [tncomp];
      stre[i] = new double [tncomp];
    }
    elem_strains (stra,lcid,eid,ri,ci);
    elem_stresses (stra,stre,lcid,eid,ri,ci);
  }
  
  switch (Mm->stre.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    allip_stresses (stre,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 (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__);
  }
  }

  if (Mp->stressaver==0){
    for (i=0;i<nne;i++){
      delete [] stra[i];
      delete [] stre[i];
    }
    delete [] stra;
    delete [] stre;
  }

}









void planeelemqt::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  vector x(nne),y(nne);
  Mt->give_node_coord2d (x,y,eid);
  eigstrain_forces (lcid,eid,0,0,nfor,x,y);
}

/**
   function computes nodal forces caused by temperature changes
   
   @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 planeelemqt::eigstrain_forces (long lcid,long eid,long ri,long ci,vector &nfor,vector &x,vector &y)
{
  long i,k,ii,ipp;
  double xi,eta,thick,jac;
  ivector nodes(nne);
  vector eigstr,sig,contr(ndofe),t(nne),epst(tncomp),gp1,gp2,w;
  matrix d(tncomp,tncomp),dd,gm;
  
  Mt->give_elemnodes (eid,nodes);
  Mc->give_thickness (eid,nodes,t);
  
  fillv (0.0,nfor);

  for (ii=0;ii<nb;ii++){
    
    allocv (intordsm[ii][ii],w);
    allocv (intordsm[ii][ii],gp1);
    allocv (intordsm[ii][ii],gp2);
    
    allocm (ncomp[ii],ndofe,gm);
    allocm (ncomp[ii],ncomp[ii],dd);
    allocv (ncomp[ii],eigstr);
    allocv (ncomp[ii],sig);
    
    gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ii][ii]);
    
    ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
    for (i=0;i<intordsm[ii][ii];i++){
      xi=gp1[i];  eta=gp2[i];
      
      Mm->giveeigstrain (ipp,cncomp[ii],ncomp[ii],eigstr);
      
      thick = approx (xi,eta,t);
      
      Mm->matstiff (d,ipp);
      dmatblock (ii,ii,d,dd);
      mxv (dd,eigstr,sig);
      geom_matrix_block (gm,ii,x,y,xi,eta,jac);
      mtxv (gm,sig,contr);
      cmulv (jac*w[i]*thick,contr);
      
      for (k=0;k<contr.n;k++){
	nfor[k]+=contr[k];
      }
      ipp++;
      
    }
    destrv (sig);  destrv (eigstr);  destrv (gp1);  destrv (gp2);  destrv (w);
    destrm (dd);  destrm (gm);
  }
}


/**
   function computes internal forces

   @param lcid - load case id
   @param eid - element id
   @param ifor - vector of internal forces

   25.8.2001
*/
void planeelemqt::internal_forces (long lcid,long eid,long ri,long ci,vector &ifor,vector &x,vector &y)
{
  long i,k,ii,ipp;
  double jac,thick;
  double **stra;
  ivector nodes(nne);
  vector w,gp1,gp2,t(nne),eps(tncomp),sig,contr(ndofe);
  matrix gm;
  
  stra = new double* [nne];
  for (i=0;i<nne;i++){
    stra[i] = new double [tncomp];
  }
  elem_strains (stra,lcid,eid,ri,ci);
  
  Mt->give_elemnodes (eid,nodes);
  Mc->give_thickness (eid,nodes,t);
  
  fillv (0.0,ifor);
  
  for (ii=0;ii<nb;ii++){
    allocv (intordsm[ii][ii],gp1);
    allocv (intordsm[ii][ii],gp2);
    allocv (intordsm[ii][ii],w);
    allocm (ncomp[ii],ndofe,gm);
    allocv (ncomp[ii],sig);
    
    gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ii][ii]);
    ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
    
    for (i=0;i<intordsm[ii][ii];i++){

      thick = approx (gp1[i],gp2[i],t);

      appval (gp1[i],gp2[i],0,tncomp,eps,stra);
      Mm->storestrain (lcid,ipp,eps);
      
      Mm->computenlstresses (ipp);
      
      Mm->givestress (lcid,ipp,cncomp[ii],ncomp[ii],sig);
      geom_matrix_block (gm,ii,x,y,gp1[i],gp2[i],jac);
      mtxv (gm,sig,contr);
      
      cmulv (jac*w[i]*thick,contr);
      
      for (k=0;k<contr.n;k++){
	ifor[k]+=contr[k];
      }
      
      ipp++;
    }
    destrv (sig);  destrm (gm);  destrv (w);  destrv (gp1);  destrv (gp2);
  }
  
  for (i=0;i<nne;i++){
    delete [] stra[i];
  }
  delete [] stra;
}

void planeelemqt::res_internal_forces (long lcid,long eid,vector &ifor)
{
  vector x(nne),y(nne);
  Mt->give_node_coord2d (x,y,eid);
  internal_forces (lcid,eid,0,0,ifor,x,y);
}

/**
   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

   19.1.2002
*/
void planeelemqt::ipcoord (long eid,long ipp,long ri,long ci,vector &coord)
{
  long i,ii;
  vector x(nne),y(nne),w(intordsm[ri][ci]),gp1(intordsm[ri][ci]),gp2(intordsm[ri][ci]);
  
  gauss_points_tr (gp1.a,gp2.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++){
    if (ii==ipp){
      coord[0]=approx (gp1[i],gp2[i],x);
      coord[1]=approx (gp1[i],gp2[i],y);
      coord[2]=0.0;
    }
    ii++;
  }
}

/**
   function returns coordinates of integration points

   @param eid - element id
   @param ri - row index
   @param ci - column index
   @param coord - array of coordinates

   19.1.2002
*/
void planeelemqt::ipcoordblock (long eid,long ri,long ci,double **coord)
{
  vector x(nne),y(nne),w(intordsm[ri][ci]),gp1(intordsm[ri][ci]),gp2(intordsm[ri][ci]);
  
  gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ri][ci]);
  Mt->give_node_coord2d (x,y,eid);
  
  for (long i=0;i<intordsm[ri][ci];i++){
    coord[i][0]=approx (gp1[i],gp2[i],x);
    coord[i][1]=approx (gp1[i],gp2[i],y);
    coord[i][2]=0.0;
  }
}

void planeelemqt::nodeforces (long eid,long *le,double *nv,vector &nf)
{
  long i;
  double xi,eta,jac;
  vector x(nne),y(nne),gp(intordb),w(intordb),av(ndofe),v(ndofe);
  matrix n(napfun,ndofe),am(ndofe,ndofe);
  
  Mt->give_node_coord2d (x,y,eid);
  gauss_points (gp.a,w.a,intordb);
  
  if (le[0]==1){
    fillm (0.0,am);
    for (i=0;i<intordb;i++){
      //xi=(1.0+gp[i])/2.0;  eta=1.0-xi;
      xi=(1.0-gp[i])/2.0;  eta=(1.0+gp[i])/2.0;
      
      bf_matrix (n,xi,eta);
      
      jac1d_2d (jac,x,y,gp[i],0);
      
      jac*=w[i];
      
      nnj (am.a,n.a,jac,n.m,n.n);
    }
    fillv (0.0,av);
    av[0]=nv[0]; av[1]=nv[1]; av[6]=nv[2]; av[7]=nv[3]; av[2]=nv[4]; av[3]=nv[5];
    mxv (am,av,v);  addv (nf,v,nf);
  }
  if (le[1]==1){
    fillm (0.0,am);
    for (i=0;i<intordb;i++){
      //xi=0.0;  eta=(1.0+gp[i])/2.0;
      xi=0.0;  eta=(1.0-gp[i])/2.0;
      
      bf_matrix (n,xi,eta);
      
      jac1d_2d (jac,x,y,gp[i],1);
      
      jac*=w[i];
      
      nnj (am.a,n.a,jac,n.m,n.n);
    }
    fillv (0.0,av);
    av[2]=nv[6]; av[3]=nv[7]; av[8]=nv[8]; av[9]=nv[9]; av[4]=nv[10]; av[5]=nv[11];
    mxv (am,av,v);  addv (nf,v,nf);
  }
  if (le[2]==1){
    fillm (0.0,am);
    for (i=0;i<intordb;i++){
      xi=(1.0+gp[i])/2.0;  eta=0.0;

      bf_matrix (n,xi,eta);

      jac1d_2d (jac,x,y,gp[i],2);

      jac*=w[i];

      nnj (am.a,n.a,jac,n.m,n.n);
    }
    fillv (0.0,av);
    av[4]=nv[12]; av[5]=nv[13]; av[10]=nv[14]; av[11]=nv[15]; av[0]=nv[16]; av[1]=nv[17];
    mxv (am,av,v);  addv (nf,v,nf);
  }
}


void planeelemqt::inicipval(long eid, long ri, long ci, matrix &nodval, inictype *ictn)
{
  long i, j, k, ipp;
  long ii, jj, nv = nodval.n;
  long nstra;
  double xi, eta, ipval;
  vector w, gp1, gp2, anv(nne);

  nstra = 0;
  for (j = 0; j < nv; j++) // for all initial values
  {
    for(i = 0; i < nne; i++) // for all nodes on element