plelemlt.cpp

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

}

void planeelemlt::appstrain (long lcid,long eid,double xi,double eta,long fi,long ncomp,vector &eps)
{
  long i,j,k;
  ivector nodes;
  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 ();
  }
  
  allocv (nne,nodes);
  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]].strain[lcid*tncomp+i];
    }
    eps[k]=approx_nat (xi,eta,nodval);
    k++;
  }
  
  destrv (nodes);
}


void planeelemlt::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 (2,coord);
    for (i=0;i<naep;i++){
      Mm->stra.give_aepcoord (sid,i,coord);
      
      if (Mp->strainaver==0)
	appval (coord[0],coord[1],0,ncp,eps,stra);
      if (Mp->strainaver==1)
	appstrain (lcid,eid,coord[0],coord[1],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 planeelemlt::strains (%s, line %d).\n",__FILE__,__LINE__);
  }
  }

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




/**
   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 planeelemlt::appval (double xi,double eta,long fi,long nc,vector &eps,double **val)
{
  long i,j,k;
  vector nodval;
  
  k=0;
  allocv (nne,nodval);
  for (i=fi;i<fi+nc;i++){
    for (j=0;j<nne;j++){
      nodval[j]=val[j][i];
    }
    eps[k]=approx_nat (xi,eta,nodval);
    k++;
  }
  
  destrv (nodval);
}




/**
   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
   
   JK, 10.5.2002
*/
void planeelemlt::ip_stresses (long lcid,long eid,long ri,long ci)
{
  long ipp;

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

  //  computation of correct stresses
  if (Mp->strcomp==1)
    Mm->computenlstresses (ipp);
}


/**
   function computes 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
   
   JK, 27.11.2006
*/
void planeelemlt::ip_elast_stresses (long lcid,long eid,long ri,long ci)
{
  long ipp;
  vector eps(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);
  
  //  stiffness matrix of the material
  Mm->matstiff (d,ipp);
  
  //  strains
  Mm->givestrain (lcid,ipp,eps);
  
  //  elastic stresses
  mxv (d,eps,sig);
  
  Mm->storestress (lcid,ipp,sig);
}


void planeelemlt::nod_stresses (long lcid,long eid,long ri,long ci)
{
  long ipp;
  double xi,eta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),eps,epst,epstt,sig,natcoord(2);
  ivector nodes(nne);
  matrix d(tncomp,tncomp);
  
  lsm = new double [9];
  
  //  natural coordinates of element nodes
  //  (function is from the file GEFEL/ordering.cpp)
  nodcoord_planelt (nxi,neta);

  Mt->give_elemnodes (eid,nodes);
  
  allocv (ncomp[0],sig);
  lhs = new double [ncomp[0]*3];
  rhs = new double [ncomp[0]*3];
  
  nullv (lsm,9);
  nullv (rhs,ncomp[0]*3);
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  Mm->matstiff (d,ipp);
  
  fillv (0.0,sig);
  allocv (ncomp[0],eps);
  
  xi=1.0/3.0;
  eta=1.0/3.0;
  
  if (Mp->strainaver==0)
    Mm->givestrain (lcid,ipp,cncomp[0],ncomp[0],eps);
  if (Mp->strainaver==1)
    appstrain (lcid,eid,xi,eta,cncomp[0],ncomp[0],eps);
  
  /*
  if (Mt->elements[eid].presctemp==1){
    allocv (tncomp,epstt);
    tempstrains (lcid,eid,ipp,xi,eta,epstt);
    allocv (ncomp[0],epst);
    extract (epst,epstt,cncomp[0],ncomp[0]);
    subv (eps,epst,eps);
    destrv (epst);  destrv (epstt);
  }
  */
  
  mxv (d,eps,sig);
  
  natcoord[0]=xi;  natcoord[1]=eta;
  matassem_lsm (lsm,natcoord);
  rhsassem_lsm (rhs,natcoord,sig);
  
  solve_lsm (lsm,lhs,rhs,Mp->zero,3,ncomp[0]);
  
  Mt->stress_nodal_values (nodes,nxi,neta,nxi,lhs,2,cncomp[0],ncomp[0],lcid);

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


void planeelemlt::elem_stresses (double **stra,double **stre,long lcid,long eid,long ri,long ci)
{
  long ipp;
  double xi,eta,*lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),eps,epst,epstt,sig,natcoord(2);
  ivector nodes(nne);
  matrix d(tncomp,tncomp);
  
  lsm = new double [9];
  
  //  natural coordinates of element nodes
  //  (function is from the file GEFEL/ordering.cpp)
  nodcoord_planelt (nxi,neta);

  Mt->give_elemnodes (eid,nodes);
  
  allocv (ncomp[0],sig);
  lhs = new double [ncomp[0]*3];
  rhs = new double [ncomp[0]*3];
  
  nullv (lsm,9);
  nullv (rhs,ncomp[0]*3);
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  xi=1.0/3.0;
  eta=1.0/3.0;
  
  Mm->matstiff (d,ipp);
  
  allocv (tncomp,eps);
  
  if (Mp->strainaver==0)
    appval (xi,eta,0,tncomp,eps,stra);
  if (Mp->strainaver==1)
    appstrain (lcid,eid,xi,eta,cncomp[0],ncomp[0],eps);
  
  /*
  if (Mt->elements[eid].presctemp==1){
    allocv (tncomp,epstt);
    tempstrains (lcid,eid,ipp,xi,eta,epstt);
    allocv (ncomp[0],epst);
    extract (epst,epstt,cncomp[0],ncomp[0]);
    subv (eps,epst,eps);
    destrv (epst);  destrv (epstt);
  }
  */
  
  mxv (d,eps,sig);
  
  natcoord[0]=xi;  natcoord[1]=eta;
  matassem_lsm (lsm,natcoord);
  rhsassem_lsm (rhs,natcoord,sig);
  
  solve_lsm (lsm,lhs,rhs,Mp->zero,3,ncomp[0]);
  nodal_values (stre,nxi,neta,nxi,lhs,2,cncomp[0],ncomp[0]);
  
  
  delete [] lhs;  delete [] rhs;
  destrv (sig);  destrv (eps);
  
  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 planeelemlt::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_nat (xi,eta,nodval);
    k++;
  }
  
  destrv (nodes);  destrv (nodval);
}


void planeelemlt::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 planeelemlt::nod_others (long lcid,long eid,long ri,long ci)
{
  long ipp, i, ncomp;
  double *lsm,*lhs,*rhs;
  vector nxi(nne),neta(nne),other,aux,natcoord(2);
  ivector nodes(nne);
  
  //  natural coordinates of element nodes
  //  (function is from the file GEFEL/ordering.cpp)
  nodcoord_planelt (nxi,neta);

  Mt->give_elemnodes (eid,nodes);
  ipp=Mt->elements[eid].ipp[ri][ci];
  ncomp = Mm->ip[ipp].ncompother;

  allocv (ncomp,other);
  lhs = new double [ncomp*3];
  rhs = new double [ncomp*3];
  lsm = new double [9];
  
  nullv (lsm,9);
  nullv (rhs,ncomp*3);
  
  for (i = 0;i < ncomp; i++)
    other[i] = Mm->ip[ipp].eqother[i];

  natcoord[0]=1.0/3.0;  natcoord[1]=1.0/3.0;
  matassem_lsm (lsm,natcoord);
  rhsassem_lsm (rhs,natcoord,other);
  
  solve_lsm (lsm,lhs,rhs,Mp->zero,3,ncomp);
  Mt->other_nodal_values (nodes,nxi,neta,nxi,lhs,2,0,ncomp,lcid);
  
  delete [] lsm;  delete [] lhs;  delete [] rhs;
  destrv (other);  destrv (nodes);
}

















/**
   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 planeelemlt::compute_nlstress (long lcid,long eid,long ri,long ci)
{
  long ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  //  computation of correct stresses
  if (Mp->strcomp==1)
    Mm->computenlstresses (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 planeelemlt::compute_nonloc_nlstress (long lcid,long eid,long ri,long ci)
{
  long ipp;
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  //  computation of correct stresses
  if (Mp->strcomp==1)
    Mm->compnonloc_nlstresses (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 planeelemlt::compute_eigstress (long lcid,long eid,long ri,long ci)
{
  long ipp;
  vector eigstr(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  Mm->giveeigstrain (ipp,eigstr);
  
  //  matrix of stiffness of the material
  Mm->matstiff (d,ipp);
  
  mxv (d,eigstr,sig);
  
  Mm->storeeigstress (ipp,sig);

}

/**
   function integrates selected quantity over the finite element
   it results in nodal values
   
   @param iq - type of integrated quantity (see alias.h)
   @param lcid - number of load case
   @param eid - element id
   @param ri,ci - row and column indices
   @param nv - nodal values
   @param x,y - node coordinates
   
   JK, 27.11.2006
*/
void planeelemlt::elem_integration (integratedquant iq,long lcid,long eid,long ri,long ci,vector &nv,vector &x,vector &y)
{
  long ipp;
  double xi,eta,det,thick;
  ivector nodes(nne);
  vector t(nne),ipv(tncomp),contr(ndofe);
  matrix gm(tncomp,ndofe);
  
  Mc->give_thickness (eid,nodes,t);
  
  fillv (0.0,nv);
  
  ipp=Mt->elements[eid].ipp[ri][ci];
  
  xi=1.0/3.0;
  eta=1.0/3.0;

  thick = approx_nat (xi,eta,t);
  
  
  switch (iq){
  case locstress:{
    //  stress reading from integration point
    Mm->givestress (lcid,ipp,ipv);
    break;
  }
  case nonlocstress:{
    //  stress reading from integration point
    Mm->givestress (lcid,ipp,ipv);
    break;
  }
  case eigstress:{
    //  eigenstress reading from integration point
    Mm->giveeigstress (ipp,ipv);
    break;
  }
  default:{
    fprintf (stderr,"\n\n unknown type of quantity is required in function plelemlt::elem_integration (file %s, line %d).\n",__FILE__,__LINE__);
  }
  }
  
  
  //  strain-displacement (geometric) matrix
  geom_matrix (gm,x,y);
  
  //  contribution to the nodal values
  mtxv (gm,ipv,contr);
  
  //  det is equal to double area of the element
  det = (x[1]-x[0])*(y[2]-y[0])-(x[2]-x[0])*(y[1]-y[0]);

  cmulv (det*thick/2.0,contr);
  
  //  summation
  addv(contr,nv,nv);
}







/**
   function computes nodal forces caused by eigenstrains
   eigenstrain expresses e.g. temperature strains
   
   @param lcid - load case id
   @param eid - element id
   @param nfor - array containing nodal forces
   
   JK, 27.11.2006
*/
void planeelemlt::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  long transf;
  ivector nodes (nne);
  vector v(ndofe),x(nne),y(nne);

  Mt->give_node_coord2d (x,y,eid);

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