barel2d.cpp

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

/**
   function computes stress at integration points
   
   @param lcid - load case id
   @param eid - element id
   
   JK
*/
void barel2d::res_ip_stresses (long lcid,long eid)
{
  ip_stresses (lcid,eid,0,0);
}

/**
   function computes stress at integration points

   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index

   10.5.2002
*/
void barel2d::ip_stresses (long lcid,long eid,long ri,long ci)
{
  long ipid;
  
  ipid=Mt->elements[eid].ipp[ri][ci];
  
  //  computation of correct stresses
  if (Mp->strcomp==1)
    Mm->computenlstresses (ipid);
}

/**
   function computes stress at integration points

   @param lcid - load case id
   @param eid - element id
   @param ri - row index
   @param ci - column index

   10.5.2002
*/
void barel2d::ip_elast_stresses (long lcid,long eid,long ri,long ci)
{
  long i,ipid;
  vector eps(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);

  ipid=Mt->elements[eid].ipp[ri][ci];
  
  for (i=0;i<intordsm[0][0];i++){
    //  stiffness matrix of material
    Mm->matstiff (d,ipid);
    //  strain
    Mm->givestrain (lcid,ipid,eps);
    //  stress computation
    mxv (d,eps,sig);
    //  storage of stress
    Mm->storestress (lcid,ipid,sig);
    
    ipid++;
  }
}


/**
   function computes stresses at nodes of element

   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void barel2d::nod_stresses_ip (long lcid,long eid,long ri,long ci)
{
  long i,j,ipid;
  ivector ipnum(nne),nod(nne);
  vector sig(tncomp);
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipid=Mt->elements[eid].ipp[ri][ci];
  nodip_bar (ipid,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);
  }
}




void barel2d::stresses (long lcid,long eid,long ri,long ci)
{
  long i,naep,ncp,sid;
  vector coord,sig;

  switch (Mm->stre.tape[eid]){
  case nowhere:{
    break;
  }
  case intpts:{
    //allip_stresses (lcid,eid,ri,ci);
    break;
  }
  case enodes:{
    nod_stresses_ip (lcid,eid,ri,ci);
    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 (1,coord);
    for (i=0;i<naep;i++){
      Mm->stre.give_aepcoord (sid,i,coord);

      if (Mp->stressaver==0)
	//appval (coord[0],0,ncp,sig,stre);
      if (Mp->stressaver==1)
	//appstress (lcid,eid,coord[0],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 barelq2d::stresses (file %s, line %d).\n",__FILE__,__LINE__);
  }
  }

}



/**
   function computes other values in nodes of element

   @param lcid - load case id
   @param eid - element id
   
   10.5.2002
*/
void barel2d::nod_eqother_ip (long lcid,long eid,long ri,long ci)
{
  long i,j,ipid,ncompo;
  ivector ipnum(nne),nod(nne);
  vector eqother;
  
  //  numbers of integration points closest to nodes
  //  (function is from the file GEFEL/ordering.cpp)
  ipid=Mt->elements[eid].ipp[ri][ci];
  nodip_bar (ipid,intordsm[0][0],ipnum);

  
  //  node numbers of the element
  Mt->give_elemnodes (eid,nod);
  
  for (i=0;i<nne;i++){
    ncompo = Mm->givencompeqother (ipnum[i],0);
    allocv (ncompo,eqother);
    Mm->giveeqother (ipnum[i],0,ncompo,eqother.a);
    
    //  storage of other values to the node
    j=nod[i];
    Mt->nodes[j].storeother (lcid,0,ncompo,eqother);
    
    destrv (eqother);
  }
}

/**
   function computes internal forces
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   @param ifor - vector of internal forces
   
   12.8.2001
*/
void barel2d::internal_forces (long lcid,long eid,long ri,long ci,vector &ifor)
{
  integratedquant iq;
  iq=locstress;
  vector x(nne),y(nne);

  //  computation of stresses
  compute_nlstress (lcid,eid,ri,ci);
  
  Mt->give_node_coord2d (x,y,eid);

  //  integration of stresses over the element
  elem_integration (iq,lcid,eid,ri,ci,ifor,x,y);

}

/**
   function computes resulting internal forces

   @param lcid - load case id
   @param eid - element id
   @param ifor - %vector of internal forces
   
   12.8.2001
*/
void barel2d::res_internal_forces (long lcid,long eid,vector &ifor)
{
  internal_forces (lcid,eid,0,0,ifor);
}



void barel2d::intpointval (long eid,vector &nodval,vector &ipval)
{
  long ii,jj,i,k,ipp;
  double xi;
  vector w,gp;

  k=0;
  for (ii = 0; ii < nb; ii++)
  {
    for (jj = 0; jj < nb; jj++)
    {
      ipp=Mt->elements[eid].ipp[ii][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 (i = 0; i < intordsm[ii][jj]; i++)
      {
        xi=gp[i];
        //  value in integration point
        ipval[k] = approx (xi,nodval);
        k++;
        ipp++;
      }
      destrv (gp);  destrv (w);
    }
  }
}



void barel2d::inicipval(long eid, long ri, long ci, matrix &nodval, inictype *ictn)
{
  long i, j, k, ipp;
  long ii, jj, nv = nodval.n;
  long nstra;
  double xi, 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];
          //  value in integration point
          ipval = approx (xi,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++;
  }
}



void barel2d::res_eigstrain_forces (long lcid,long eid,vector &nfor)
{
  //vector gx(nne),gy(nne),x(nne);
  //Mt->give_node_coord2d (gx,gy,eid);
  //giveloccoord (gx,gy,x);
  //temp_forces (lcid,eid,0,0,nfor,x);

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

/**
   function computes nodal forces caused by temperature changes
   
   @param eid - element id
   @param ri,ci - row and column indices
   @param nfor - array containing nodal forces
   @param x,y - nodal coordinates
   
   30.11.2002, JK
*/
void barel2d::eigstrain_forces (long lcid,long eid,long ri,long ci,vector &nfor)
{
  integratedquant iq;
  iq=eigstress;
  vector x(nne),y(nne);
  
  Mt->give_node_coord2d (x,y,eid);

  //  computation of eigenstresses
  compute_eigstress (lcid,eid,ri,ci);
  
  //  integration of stresses over the element
  elem_integration (iq,lcid,eid,ri,ci,nfor,x,y);
}




/**
   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, 30.11.2006
*/
void barel2d::compute_nlstress (long lcid,long eid,long ri,long ci)
{
  long ipid;
  
  ipid=Mt->elements[eid].ipp[ri][ci];
  
  //  computation of correct stresses
  if (Mp->strcomp==1)
    Mm->computenlstresses (ipid);
  
}

/**
   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, 30.11.2006
*/
void barel2d::compute_nonloc_nlstress (long lcid,long eid,long ri,long ci)
{
  long ipid;
  
  ipid=Mt->elements[eid].ipp[ri][ci];

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


/**
   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, 30.11.2006
*/
void barel2d::compute_eigstress (long lcid,long eid,long ri,long ci)
{
  long ipid;
  vector eigstr(tncomp),sig(tncomp);
  matrix d(tncomp,tncomp);
  
  ipid=Mt->elements[eid].ipp[ri][ci];
  
  Mm->giveeigstrain (ipid,eigstr);
  
  //  matrix of stiffness of the material
  Mm->matstiff (d,ipid);
  
  mxv (d,eigstr,sig);
  
  Mm->storeeigstress (ipid,sig);
  
  //ipid++;
}

/**
   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, 30.11.2006
*/
void barel2d::elem_integration (integratedquant iq,long lcid,long eid,long ri,long ci,vector &nv,vector &x,vector &y)
{
  long ipid;
  double s,c,l,a;
  ivector nodes(nne);
  vector ipv(tncomp),contr(ndofe);
  matrix gm(tncomp,ndofe);
  
  //  length of the element
  l=sqrt ((x[1]-x[0])*(x[1]-x[0])+(y[1]-y[0])*(y[1]-y[0]));
  if (l<Mp->zero){
    fprintf (stderr,"\n\n zero length of the %ld truss element",eid);
    fprintf (stderr,"\n in function barel2d::elem_integration (file %s, line %d).\n",__FILE__,__LINE__);
  }
  
  s=(y[1]-y[0])/l;
  c=(x[1]-x[0])/l;
  
  ipid=Mt->elements[eid].ipp[ri][ci];

  switch (iq){
  case locstress:{
    //  stress reading from integration point
    Mm->givestress (lcid,ipid,ipv);
    break;
  }
  case nonlocstress:{
    //  stress reading from integration point
    Mm->givestress (lcid,ipid,ipv);
    break;
  }
  case eigstress:{
    //  eigenstress reading from integration point
    Mm->giveeigstress (ipid,ipv);
    break;
  }
  default:{
    fprintf (stderr,"\n\n unknown type of quantity is required in function plelemqq::elem_integration (file %s, line %d).\n",__FILE__,__LINE__);
  }
  }
  
  
  //  strain-displacement (geometric) matrix
  geom_matrix (gm,s,c,l);
  
  //  contribution to the nodal values
  mtxv (gm,ipv,contr);
  
  //  area of bar cross-section
  Mc->give_area (eid,a);

  cmulv (a*l,contr);

  //  summation
  addv(contr,nv,nv);
  
}