linhex_nb1.cpp

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

   function computes strains at all integration points
   
   @param lcid - load case id
   @param eid - element id
   
   JK, 26.9.2004
*/
void linhex::res_allip_strains (long lcid,long eid)
{
  allip_strains (lcid,eid,0,0);
}

/**
   function computes strains at 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 (long lcid,long eid,long ri,long ci)
{
  //  blocks of strain components at integration points
  res_mainip_strains (lcid,eid);
}

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 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, 26.9.2004
*/
void linhex::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+j*j*j-1;
  ipnum[1]=i+j*j-1;
  ipnum[2]=i+j-1;
  ipnum[3]=i+j*j*(j-1)+j-1;
  ipnum[4]=i+j*j*(j-1)+j*(j-1);
  ipnum[5]=i+j*(j-1);
  ipnum[6]=i;
  ipnum[7]=i+j*j*(j-1);
}

/**
   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
*/
/*  zruseno 26.9.2004
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::res_mainip_stresses (long lcid,long eid)
{
  mainip_stresses (lcid,eid,0,0);
}

/**
   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);

  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);


	    Mm->givestrain (lcid,ipp,eps);
	    

	    mxv (d,eps,auxsig);
	    addv (auxsig,sig,sig);
	    destrv (eps);
	  }
	  
	  Mm->storestress (lcid,ipp,sig);
	  
	  ipp++;
	}
      }
    }
    
    destrv (w);  destrv (gp);  destrv (auxsig);  destrv (sig);
  }
}

/**
   function computes stresses at nodes
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002, JK
*/
void linhex::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 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);

  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);
	    
	    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);
	    
	    mxv (d,eps,auxsig);
	    addv (auxsig,sig,sig);
	    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::res_allip_stresses (long lcid,long eid)
{
  res_allip_stresses (lcid,eid);
}

/**
   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 (long lcid,long eid,long ri,long ci)
{
  res_mainip_stresses (lcid,eid);
}







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);
    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__);
  }
  }

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

  //mainip_stresses (0,eid,0,0);
  
  
}




/**
   function computes other values in nodes
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void linhex::nod_others (long lcid,long eid,long ri,long ci)
{
  long i,j,k,l,ii,ipp,ncomp;
  double xi,eta,zeta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),nzeta(nne),r(ndofe),gp,w,other,natcoord(3);
  ivector nodes(nne);

  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;

    ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
    allocv (intordsm[ii][ii],gp);
    allocv (intordsm[ii][ii],w);
    ncomp = Mm->ip[ipp].ncompother;
    allocv (ncomp,other);
    lhs = new double [ncomp*4];
    rhs = new double [ncomp*4];
    gauss_points (gp.a,w.a,intordsm[ii][ii]);
    
    nullv (lsm,16);
    nullv (rhs,ncomp*4);
    
    
    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];
          
          for (l=0; l<ncomp; l++)
            other[l] = Mm->ip[ipp].eqother[l];

          natcoord[0]=xi;  natcoord[1]=eta;  natcoord[2]=zeta;
          matassem_lsm (lsm,natcoord);
          rhsassem_lsm (rhs,natcoord,other);

          ipp++;
        }
      }
    }
    
    solve_lsm (lsm,lhs,rhs,Mp->zero,4,ncomp);
    Mt->other_nodal_values (nodes,nxi,neta,nzeta,lhs,3,0,ncomp,lcid);
    
    
    delete [] lhs;  delete [] rhs;
    destrv (other);  destrv (w);  destrv (gp);
  }
  
  delete [] lsm;
}



/**
   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 linhex::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 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
   
   28.7.2001
*/
void linhex::gl_internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  long i,j,k,l,ii,ipp,transf;
  double xi,eta,zeta,jac;