linhex.cpp

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

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 computes stresses at integration points of element
   
   @param lcid - load case id
   @param eid - element id
   
   10.5.2002, JK
*/
void linhex::res_ip_stresses (long lcid,long eid)
{
  ip_stresses (lcid,eid,0,0);
}

/**
   function computes stresses at integration points of element
   stresses are computed by material models
   
   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index
   
   10.5.2002, JK
*/
void linhex::ip_stresses (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  computation of correct stresses
	if (Mp->strcomp==1)
	  Mm->computenlstresses (ipp);
	
	ipp++;
      }
    }
  }
}

/**
   function computes elastic stresses at integration points of element
   stresses are computed from strains with the help of elastic stiffness
   
   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index
   
   10.5.2002, JK
*/
void linhex::ip_elast_stresses (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  vector gp,w,eps(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);

  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++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	Mm->matstiff (d,ipp);
	
	Mm->givestrain (lcid,ipp,eps);
	
	mxv (d,eps,sig);
	
	Mm->storestress (lcid,ipp,sig);
	
	ipp++;
      }
    }
  }
  
  destrv (w);  destrv (gp);
}

/**
   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,ipp;
  ivector ipnum(nne),nod(nne);
  vector sig(tncomp);
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipp=Mt->elements[eid].ipp[ri][ci];
  nodip_linhex (ipp,intordsm[0][0],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);
  }
}


/**
   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++;
  }
}



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 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,ipp,ncompo;
  ivector ipnum(nne),nod(nne);
  vector eqother;
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipp=Mt->elements[eid].ipp[ri][ci];
  nodip_linhex (ipp,intordsm[0][0],ipnum);
  
  //  node numbers of the element
  Mt->give_elemnodes (eid,nod);
  
  for (i=0;i<nne;i++){
    //  number of components of array other
    ncompo = Mm->givencompeqother (ipnum[i],0);
    allocv (ncompo,eqother);
    //  components of array other at integration points
    Mm->giveeqother (ipnum[i],0,ncompo,eqother.a);
    
    //  storage of components to the node
    j=nod[i];
    Mt->nodes[j].storeother (lcid,0,ncompo,eqother);
    
    destrv (eqother);
  }
}














/**
   function computes internal forces in the case of geometrical linear computation
   
   @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 linhex::gl_internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  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);
}


/**
   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, 24.9.2005
*/
void linhex::gnl_internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  long i,j,k,ipp;
  double xi,eta,zeta,jac;
  ivector cn(ndofe);
  vector w,gp,x(nne),y(nne),z(nne),sig(tncomp),contr(ndofe),r(ndofe);
  matrix gm(tncomp,ndofe);
  
  //  node coordinates
  Mt->give_node_coord3d (x,y,z,eid);
  //  code numbers of element
  Mt->give_code_numbers (eid,cn.a);
  //  nodal displacements
  eldispl (lcid,eid,r.a,cn.a,ndofe);
  
  
  fillv (0.0,ifor);
  
  //  array for coordinates of integration points
  allocv (intordsm[0][0],gp);
  //  array for weights of integration points
  allocv (intordsm[0][0],w);
  
  //  coordinates and weights of integration points
  gauss_points (gp.a,w.a,intordsm[0][0]);
  
  //  number of the first integration point on element
  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];
      for (k=0;k<intordsm[0][0];k++){
	zeta=gp[k];
	
	//  computation of stress
	if (Mp->strcomp==1)
	  Mm->computenlstresses (ipp);
	
	if (Mp->nodeintfor==1){
	  Mm->givestress (lcid,ipp,sig);
	  
	  //  strain-displacement (geometric) matrix
	  gngeom_matrix (gm,r,x,y,z,xi,eta,zeta,jac);
	  
	  mtxv (gm,sig,contr);
	  
	  cmulv (jac*w[i]*w[j]*w[k],contr);
	  
	  addv (contr,ifor,ifor);
	}

	ipp++;
      }
    }
  }
  destrv (w);  destrv (gp);
}


/**
   function computes internal forces (from correct stresses)
   
   @param lcid - number of load case
   @param eid - element id
   @param ifor - %vector of internal forces
   
   JK, 24.9.2005
*/
void linhex::res_internal_forces (long lcid,long eid,vector &ifor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe);
  
  gl_internal_forces (lcid,eid,0,0,ifor);
  //gnl_internal_forces (lcid,eid,0,0,ifor);
  
  
  //  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 computes nonlocal 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
   
   JK, 28.7.2001
*/
void linhex::nonloc_internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  integratedquant iq;
  iq=nonlocstress;
  
  //  computation of nonlocal stresses
  compute_nonloc_nlstress (lcid,eid,ri,ci);
  
  //  integration of stresses over the element
  elem_integration (iq,lcid,eid,ri,ci,ifor);

}

/**
   function computes contributions from eigenstrains to the right hand side
   
   @param eid - element id
   @param ifor - %vector of internal forces

   JK, 17.8.2004
*/
void linhex::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe);

  eigstrain_forces (lcid,eid,0,0,nfor);

  //  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 contributions from eigenstrains to the right hand side
   
   @param eid - element id
   @param ifor - vector of internal forces

   JK, 17.8.2004
*/
void linhex::eigstrain_forces (long lcid,long eid,long ri,long ci,vector &nfor)
{
  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);
  
}


/**
   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 linhex::compute_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  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 linhex::compute_nonloc_nlstress (long lcid,long eid,long ri,long ci)
{
  long i,j,k,ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    for (j=0;j<intordsm[0][0];j++){
      for (k=0;k<intordsm[0][0];k++){
	
	//  computation of correct stresses
	if (Mp->strcomp==1)
	  Mm->compnonloc_nlstresses (ipp);
	
	ipp++;
      }
    }
  }
}

/**
   function computes nonlocal correct stresses at integration points on element