plelemrotlq.cpp

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

  matrix d(tncomp,tncomp),dd;

  lsm = new double [9];
  allocv (nne,nodes);

  nodecoord (nxi,neta);
  Mt->give_elemnodes (eid,nodes);
  
  for (ii=0;ii<nb;ii++){
    allocv (intordsm[ii][ii],gp);
    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 (gp.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++){
      xi=gp[i];
      for (j=0;j<intordsm[ii][ii];j++){
	eta=gp[j];
	
	Mm->matstiff (d,ipp);
	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)
	    Mm->givestrain (lcid,ipp,cncomp[jj],ncomp[jj],eps);
	  if (Mp->strainaver==1)
	    //appstrain (lcid,eid,xi,eta,cncomp[jj],ncomp[jj],eps);
	  
	  dmatblock (ii,jj,d,dd);
	  mxv (dd,eps,auxsig);
	  addv (auxsig,sig,sig);
	  destrm (dd);  destrv (eps);
	}
	
	natcoord[0]=xi;  natcoord[1]=eta;
	matassem_lsm (lsm,natcoord);
	rhsassem_lsm (rhs,natcoord,sig);
	
      }
    }
    
    solve_lsm (lsm,lhs,rhs,Mp->zero,3,ncomp[ii]);
    Mt->stress_nodal_values (nodes,nxi,neta,nxi,lhs,2,cncomp[ii],ncomp[ii],lcid);
    

    delete [] lhs;  delete [] rhs;
    destrv (auxsig);  destrv (sig);  destrv (eps);  destrv (w);  destrv (gp);
  }
  
  delete [] lsm;
}

void planeelemrotlq::elem_stresses (double **stra,double **stre,long lcid,long eid,long ri,long ci)
{
  long i,j,ii,jj,ipp;
  double xi,eta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),gp,w,eps,sig,auxsig,natcoord(2);
  ivector nodes(nne);
  matrix d(tncomp,tncomp),dd;

  lsm = new double [9];

  nodecoord (nxi,neta);
  Mt->give_elemnodes (eid,nodes);
  
  for (ii=0;ii<nb;ii++){
    allocv (intordsm[ii][ii],gp);
    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 (gp.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++){
      xi=gp[i];
      for (j=0;j<intordsm[ii][ii];j++){
	eta=gp[j];
	
	Mm->matstiff (d,ipp);
	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 (xi,eta,cncomp[jj],ncomp[jj],eps,stra);
	  if (Mp->strainaver==1)
	    //appstrain (lcid,eid,xi,eta,cncomp[jj],ncomp[jj],eps);

	  dmatblock (ii,jj,d,dd);
	  mxv (dd,eps,auxsig);
	  addv (auxsig,sig,sig);
	  destrm (dd);  destrv (eps);
	}

	natcoord[0]=xi;  natcoord[1]=eta;
	matassem_lsm (lsm,natcoord);
	rhsassem_lsm (rhs,natcoord,sig);
	
      }
    }
        
    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 (gp);
  }
  
  delete [] lsm;
}


/**
   function computes stresses in arbitrary point on element
   
   @param eid - element id
   @param xi, eta - natural coordinates of the point
   @param fi,li - first and last indices
   @param sig - array containing stresses
   
   11.5.2002
*/
void planeelemrotlq::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);
}

void planeelemrotlq::allip_stresses (double **stre,long lcid,long eid,long ri,long ci)
{
  long i,j,ii,jj,ipp;
  double xi,eta;
  vector sig,gp,w;
  
  allocv (tncomp,sig);

  for (ii=0;ii<nb;ii++){
    for (jj=0;jj<nb;jj++){
      if (intordsm[ii][jj]==0)  continue;

      allocv (intordsm[ii][jj],gp);
      allocv (intordsm[ii][jj],w);
      gauss_points (gp.a,w.a,intordsm[ii][jj]);
      ipp=Mt->elements[eid].ipp[ri+ii][ci+jj];
      
      for (i=0;i<intordsm[ii][jj];i++){
	xi=gp[i];
	for (j=0;j<intordsm[ii][jj];j++){
	  eta=gp[j];
	  
	  if (Mp->stressaver==0)
	    //appval (xi,eta,0,tncomp,sig,stre);
	  if (Mp->stressaver==1)
	    appstress (lcid,eid,xi,eta,0,tncomp,sig);
	  
	  Mm->storestress (lcid,ipp,sig);
	  ipp++;
	}
      }
      destrv (w);  destrv (gp);
    }
  }
  destrv (sig);
}

void planeelemrotlq::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 planeelemrotlq::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;
  }
}




/**
   function computes internal forces (from correct stresses)
   
   @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 planeelemrotlq::internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  long i,j,k,ii,ipp;
  double xi,eta,jac,thick;
  ivector nodes(nne),cn(ndofe);
  vector x(nne),y(nne),w,gp,t(nne),eps(tncomp),sig,contr(ndofe),l(ned),nx(ned),ny(ned);
  matrix gm;

  Mt->give_elemnodes (eid,nodes);
  Mt->give_node_coord2d (x,y,eid);
  Mc->give_thickness (eid,nodes,t);
  auxdata (x,y,l,nx,ny);

  fillv (0.0,ifor);

  for (ii=0;ii<nb;ii++){
    allocv (intordsm[ii][ii],gp);
    allocv (intordsm[ii][ii],w);
    allocm (ncomp[ii],ndofe,gm);
    allocv (ncomp[ii],sig);

    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];
	thick = approx (xi,eta,t);
	
	//appstrain (lcid,eid,xi,eta,0,tncomp,eps);
	Mm->storestrain (lcid,ipp,eps);
	
	Mm->computenlstresses (ipp);

	Mm->givestress (lcid,ipp,cncomp[ii],ncomp[ii],sig);
	geom_matrix_block (gm,ii,x,y,xi,eta,l,nx,ny,jac);
	mtxv (gm,sig,contr);

	cmulv (jac*w[i]*w[j]*thick,contr);

	for (k=0;k<contr.n;k++){
	  ifor[k]+=contr[k];
	}

	ipp++;
      }
    }
    destrv (sig);  destrm (gm);  destrv (w);  destrv (gp);
  }
}


void planeelemrotlq::res_internal_forces (long lcid,long eid,vector &ifor)
{
  internal_forces (lcid,eid,0,0,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 planeelemrotlq::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++;
    }
  }
}



void planeelemrotlq::inicipval(long eid, long ri, long ci, matrix &nodval, inictype *ictn)
{
  long i, j, k, l, ipp;
  long ii, jj, nv = nodval.n;
  long nstra;
  double xi, eta, ipval;
  vector w, gp, 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
      anv[i] = nodval[i][j];
    for (ii = 0; ii < nb; ii++)
    {
      for (jj = 0; jj < nb; jj++)
      {
        ipp=Mt->elements[eid].ipp[ri+ii][ci+jj];
        if (intordsm[ii][jj] == 0)
          continue;
        allocv (intordsm[ii][jj],gp);
        allocv (intordsm[ii][jj],w);
        gauss_points (gp.a,w.a,intordsm[ii][jj]);
        for (k = 0; k < intordsm[ii][jj]; k++)
        {
          xi=gp[k];
          for (l = 0; l < intordsm[ii][jj]; l++)
          {
            eta=gp[l];
            //  value in integration point
            ipval = approx (xi,eta,anv);
            if ((ictn[i] & inistrain) && (j < Mm->ip[ipp].ncompstr))
            {
              Mm->ip[ipp].strain[j] += ipval;
              ipp++;
              continue;
            }
            if ((ictn[i] & inistress) && (j < nstra + Mm->ip[ipp].ncompstr))
            {
              Mm->ip[ipp].stress[j] += ipval;
              ipp++;
              continue;
            }
            if ((ictn[i] & iniother) && (j < nv))
            {
              Mm->ip[ipp].other[j] += ipval;
              ipp++;
              continue;
            }
            ipp++;

          }
        }
        destrv (gp);  destrv (w);
      }
    }
    if (ictn[i] & inistrain) nstra++;
  }
}

/**
   function computes volume appropriate to integration point
   
   2.3.2004, JK
*/
void planeelemrotlq::ipvolume (long eid,long ri,long ci)
{
  long i,j,ii,jj,ipp;
  double xi,eta,jac;
  vector x(nne),y(nne),w,gp;
  
  Mt->give_node_coord2d (x,y,eid);
  
  for (ii=0;ii<nb;ii++){
    for (jj=0;jj<nb;jj++){
      if (intordsm[ii][jj]==0)  continue;
      
      allocv (intordsm[ii][jj],w);
      allocv (intordsm[ii][jj],gp);

      gauss_points (gp.a,w.a,intordsm[ii][jj]);

      ipp=Mt->elements[eid].ipp[ri+ii][ci+jj];

      for (i=0;i<intordsm[ii][jj];i++){
	xi=gp[i];
	for (j=0;j<intordsm[ii][jj];j++){
	  eta=gp[j];

	  jac_2d (jac,x,y,xi,eta);
	  
	  jac*=w[i]*w[j];

	  Mm->storeipvol (ipp,jac);
	    
	  ipp++;
	}
      }
      destrv (gp);  destrv (w);
    }
  }
}