linhex-16ip.cpp

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

   @param val - array containing strains on element
   @param lcid - load case id
   @param eid - element id
   
   19.9.2002
*/
void linhex::elem_strains (double **stra,long lcid,long eid,long ri,long ci)
{
  long i,j,k,ii,ipp;
  double xi,eta,zeta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),nzeta(nne),gp,w,eps,natcoord(3);

  lsm = new double [16];

  nodecoord (nxi,neta,nzeta);
  
  for (ii=0;ii<nb;ii++){
    allocv (intordsm[ii][ii],gp);
    allocv (intordsm[ii][ii],w);
    allocv (ncomp[ii],eps);
    lhs = new double [ncomp[ii]*4];
    rhs = new double [ncomp[ii]*4];
    gauss_points (gp.a,w.a,intordsm[ii][ii]);
    
    nullv (lsm,16);
    nullv (rhs,ncomp[ii]*4);
    
    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];
	for (k=0;k<intordsm[ii][ii];k++){
	  zeta=gp[k];
	  
	  Mm->givestrain (lcid,ipp,cncomp[ii],ncomp[ii],eps);
	  
	  natcoord[0]=xi;  natcoord[1]=eta;  natcoord[2]=zeta;
	  matassem_lsm (lsm,natcoord);
	  rhsassem_lsm (rhs,natcoord,eps);
	  
	  ipp++;
	}
      }
    }
        
    solve_lsm (lsm,lhs,rhs,Mp->zero,4,ncomp[ii]);
    nodal_values (stra,nxi,neta,nzeta,lhs,3,cncomp[ii],ncomp[ii]);

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


/**
   function computes strains in arbitrary point on element
   
   @param lcid - load case id
   @param eid - element id
   @param xi, eta, zeta - natural coordinates of the point
   @param fi - first index
   @param ncomp - number of components
   @param eps - array containing strains
   
   11.5.2002
*/
void linhex::appstrain (long lcid,long eid,double xi,double eta,double zeta,long fi,long ncomp,vector &eps)
{
  long i,j,k;
  ivector nod(nne);
  vector nodval(nne);
  
  if (ncomp != eps.n){
    fprintf (stderr,"\n\n wrong interval of indices in function strain (%s, line %d).\n",__FILE__,__LINE__);
    abort ();
  }

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

/**
   function computes strains in all integration points
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void linhex::allip_strains (double **stra,long lcid,long eid,long ri,long ci)
{
  long i,j,k,ii,jj,ipp;
  double xi,eta,zeta;
  vector eps(tncomp),gp,w;
  
  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];
	  for (k=0;k<intordsm[ii][jj];k++){
	    zeta=gp[k];
	    
	    if (Mp->strainaver==0)
	      appval (xi,eta,zeta,0,tncomp,eps,stra);
	    if (Mp->strainaver==1)
	      appstrain (lcid,eid,xi,eta,zeta,0,tncomp,eps);
	    
	    Mm->storestrain (lcid,ipp,eps);
	    ipp++;
	  }
	}
      }
      destrv (w);  destrv (gp);
    }
  }
}

void linhex::strains (long lcid,long eid,long ri,long ci)
{
  long i,naep,ncp,sid;
  double **stra;
  vector coord,eps;
  
  if (Mp->strainaver==0){
    stra = new double* [nne];
    for (i=0;i<nne;i++){
      stra[i] = new double [tncomp];
    }
    elem_strains (stra,lcid,eid,ri,ci);
  }
  
  switch (Mm->stra.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    allip_strains (stra,lcid,eid,ri,ci);
    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__);
  }
  }
  
  if (Mp->strainaver==0){
    for (i=0;i<nne;i++){
      delete [] stra[i];
    }
    delete [] stra;
  }
}




/**
   function assembles natural coordinates of nodes of element
   
   @param xi - array containing natural coordinates xi
   @param eta - array containing natrual coordinates eta
   @param zeta - array containing natrual coordinates zeta
   
   10.5.2002
*/
void linhex::nodecoord (vector &xi,vector &eta,vector &zeta)
{
  xi[0] =  1.0;  eta[0] =  1.0;  zeta[0] =  1.0;
  xi[1] = -1.0;  eta[1] =  1.0;  zeta[1] =  1.0;
  xi[2] = -1.0;  eta[2] = -1.0;  zeta[2] =  1.0;
  xi[3] =  1.0;  eta[3] = -1.0;  zeta[3] =  1.0;
  xi[4] =  1.0;  eta[4] =  1.0;  zeta[4] = -1.0;
  xi[5] = -1.0;  eta[5] =  1.0;  zeta[5] = -1.0;
  xi[6] = -1.0;  eta[6] = -1.0;  zeta[6] = -1.0;
  xi[7] =  1.0;  eta[7] = -1.0;  zeta[7] = -1.0;
}

/**
   function computes strains in arbitrary point on element
   
   @param xi, eta - natural coordinates of the point
   @param eps - array containing strains
   @param val - array containing values on element
   
   11.5.2002
*/
void linhex::appval (double xi,double eta,double zeta,long fi,long nc,vector &eps,double **val)
{
  long i,j,k;
  vector nodval(nne);
  
  k=0;
  for (i=fi;i<fi+nc;i++){
    for (j=0;j<nne;j++){
      nodval[j]=val[j][i];
    }
    eps[k]=approx (xi,eta,zeta,nodval);
    k++;
  }
}


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

  for (ii=0;ii<nb;ii++){
    if (intordsm[ii][ii]==0)  continue;
    
    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];
	for (k=0;k<intordsm[ii][ii];k++){
	  zeta=gp[k];
	  
	  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)
	      Mm->givestrain (lcid,ipp,cncomp[jj],ncomp[jj],eps);
	    if (Mp->strainaver==1)
	      appstrain (lcid,eid,xi,eta,zeta,cncomp[jj],ncomp[jj],eps);
	    
	    /*
	    if (Mt->elements[eid].presctemp==1){
	      allocv (tncomp,epstt);
	      tempstrains (lcid,eid,ipp,xi,eta,zeta,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);
	  }
	  
	  Mm->storestress (lcid,ipp,sig);
	  
	  ipp++;
	}
      }
    }
    
    destrv (w);  destrv (gp);  destrv (auxsig);  destrv (sig);
  }
}

/**
   function computes stresses in nodes
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void linhex::nod_stresses (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ii,jj,ipp;
  double xi,eta,zeta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),nzeta(nne),r(ndofe),gp,w,eps,epst,epstt,sig,auxsig,natcoord(3);
  ivector nodes(nne);
  matrix d(tncomp,tncomp),dd;

  lsm = new double [16];

  nodecoord (nxi,neta,nzeta);
  Mt->give_elemnodes (eid,nodes);

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

    allocv (intordsm[ii][ii],gp);
    allocv (intordsm[ii][ii],w);
    allocv (ncomp[ii],sig);
    allocv (ncomp[ii],auxsig);
    lhs = new double [ncomp[ii]*4];
    rhs = new double [ncomp[ii]*4];
    gauss_points (gp.a,w.a,intordsm[ii][ii]);
    
    nullv (lsm,16);
    nullv (rhs,ncomp[ii]*4);
    
    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];
	for (k=0;k<intordsm[ii][ii];k++){
	  zeta=gp[k];
	  
	  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)
	      Mm->givestrain (lcid,ipp,cncomp[jj],ncomp[jj],eps);
	    if (Mp->strainaver==1)
	      appstrain (lcid,eid,xi,eta,zeta,cncomp[jj],ncomp[jj],eps);
	    
	    /*
	    if (Mt->elements[eid].presctemp==1){
	      allocv (tncomp,epstt);
	      tempstrains (lcid,eid,ipp,xi,eta,zeta,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]=xi;  natcoord[1]=eta;  natcoord[2]=zeta;
	  matassem_lsm (lsm,natcoord);
	  rhsassem_lsm (rhs,natcoord,sig);

	  ipp++;
	}
      }
    }
    
    solve_lsm (lsm,lhs,rhs,Mp->zero,4,ncomp[ii]);
    Mt->stress_nodal_values (nodes,nxi,neta,nzeta,lhs,3,cncomp[ii],ncomp[ii],lcid);
    
    
    delete [] lhs;  delete [] rhs;
    destrv (auxsig);  destrv (sig);  destrv (eps);  destrv (w);  destrv (gp);
  }
  
  delete [] lsm;
}

void linhex::elem_stresses (double **stra,double **stre,long lcid,long eid,long ri,long ci)
{
  long i,j,k,ii,jj,ipp;
  double xi,eta,zeta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),nzeta(nne),r,gp,w,eps,epst,epstt,sig,auxsig,natcoord(3);
  matrix d(tncomp,tncomp),dd;

  lsm = new double [16];

  nodecoord (nxi,neta,nzeta);
  
  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]*4];
    rhs = new double [ncomp[ii]*4];
    gauss_points (gp.a,w.a,intordsm[ii][ii]);
    
    nullv (lsm,16);
    nullv (rhs,ncomp[ii]*4);
    
    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];
	for (k=0;k<intordsm[ii][ii];k++){
	  zeta=gp[k];
	  
	  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 (xi,eta,zeta,cncomp[jj],ncomp[jj],eps,stra);
	    if (Mp->strainaver==1)
	      appstrain (lcid,eid,xi,eta,zeta,cncomp[jj],ncomp[jj],eps);
	    
	    /*
	    if (Mt->elements[eid].presctemp==1){
	      allocv (tncomp,epstt);
	      tempstrains (lcid,eid,ipp,xi,eta,zeta,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]=xi;  natcoord[1]=eta;  natcoord[2]=zeta;
	  matassem_lsm (lsm,natcoord);
	  rhsassem_lsm (rhs,natcoord,sig);

	  ipp++;
	}
      }
    }
        
    solve_lsm (lsm,lhs,rhs,Mp->zero,4,ncomp[ii]);
    nodal_values (stre,nxi,neta,nzeta,lhs,3,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 lcid - load case id
   @param eid - element id
   @param xi, eta, zeta - natural coordinates of the point
   @param fi,li - first and last indices
   @param sig - array containing stresses
   
   11.5.2002
*/
void linhex::appstress (long lcid,long eid,double xi,double eta,double zeta,long fi,long ncomp,vector &sig)
{
  long i,j,k;
  ivector nodes(nne);
  vector nodval(nne);
  
  if (ncomp != sig.n){
    fprintf (stderr,"\n\n wrong interval of indices in function stress (%s, line %d).\n",__FILE__,__LINE__);
    abort ();
  }

  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,zeta,nodval);
    k++;
  }
}

/**
   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 linhex::allip_stresses (double **stre,long lcid,long eid,long ri,long ci)
{
  long i,j,k,ii,jj,ipp;
  double xi,eta,zeta;
  vector sig(tncomp),gp,w;
  
  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];
	  for (k=0;k<intordsm[ii][jj];k++){
	    zeta=gp[k];
	    
	    if (Mp->stressaver==0)
	      appval (xi,eta,zeta,0,tncomp,sig,stre);
	    if (Mp->stressaver==1)
	      appstress (lcid,eid,xi,eta,zeta,0,tncomp,sig);

	    Mm->storestress (lcid,ipp,sig);
	    ipp++;
	  }
	}
      }
      destrv (w);  destrv (gp);
    }
  }
}







void linhex::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);