axisymlt.cpp

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

    rho = approx_nat (gp1[i],gp2[i],dens);
    r = approx_nat (gp1[i],gp2[i],x);
    
    jac=r*w[i]*rho*det;
    
    nnj (mm.a,n.a,jac,n.m,n.n);
  }
  
}


void axisymlt::res_mainip_strains (long lcid,long eid)
{
  vector aux,x(nne),y(nne),r(ndofe);
  ivector cn(ndofe),nodes(nne);
  matrix tmat;

  Mt->give_node_coord2d (x,y,eid);
  Mt->give_elemnodes (eid,nodes);
  Mt->give_code_numbers (eid,cn.a);
  eldispl (lcid,eid,r.a,cn.a,ndofe);
  
  //  transformation of displacement vector
  long transf = Mt->locsystems (nodes);
  if (transf>0){
    allocv (ndofe,aux);
    allocm (ndofe,ndofe,tmat);
    transf_matrix (nodes,tmat);
    //locglobtransf (aux,r,tmat);
    lgvectortransf (aux,r,tmat);
    copyv (aux,r);
    destrv (aux);
    destrm (tmat);
  }

  mainip_strains (lcid,eid,0,0,x,y,r);  
}


/**
   function computes strains 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 axisymlt::mainip_strains (long lcid,long eid,long ri,long ci,vector &x,vector &y,vector &r)
{
  long i,ii,ipp;
  vector gp1,gp2,w,eps(tncomp),aux,areacoord(3);
  matrix gm(tncomp,ndofe);
  
  for (ii=0;ii<nb;ii++){
    if (intordsm[ii][ii]==0)  continue;

    allocv (intordsm[ii][ii],gp1);
    allocv (intordsm[ii][ii],gp2);
    allocv (intordsm[ii][ii],w);
    //allocv (ncomp[ii],eps);
    //allocm (ncomp[ii],ndofe,gm);

    gauss_points_tr (gp1.a,gp2.a,w.a,intordsm[ii][ii]);
    
    ipp=Mt->elements[eid].ipp[ri+ii][ci+ii];
    for (i=0;i<intordsm[ii][ii];i++){
      areacoord[0]=gp1[i];
      areacoord[1]=gp2[i];
      areacoord[2]=1.0-areacoord[0]-areacoord[1];
      
      geom_matrix (gm,areacoord,x,y);
      //geom_matrix_block (gm,ii,areacoord,x,y);
      mxv (gm,r,eps);
      
      //Mm->storestrain (lcid,ipp,cncomp[ii],ncomp[ii],eps);
      Mm->storestrain (lcid,ipp,eps);
      ipp++;
    }
    //destrm (gm);  destrv (eps);  
    destrv (w);  destrv (gp1);  destrv (gp2);
  }
  
}

/**
   function computes strains in nodes of element
   
   @param lcid - load case id
   @param eid - element id
   
   10.5.2002
*/
void axisymlt::nod_strains_ip (long lcid,long eid)
{
  long i,j;
  ivector ipnum(nne),nod(nne);
  vector eps(tncomp);
  
  //  numbers of integration points closest to nodes
  nodipnum (eid,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);
    
    //  storage of strains to the node
    j=nod[i];
    Mt->nodes[j].storestrain (lcid,0,eps);
  }

}

/**
   function computes strains in nodes of element
   
   @param lcid - load case id
   @param eid - element id
   
   JK, 23.9.2004
*/
void axisymlt::nod_strains_comp (long lcid,long eid)
{
/*
  long i,j;
  double jac;
  vector x(nne),y(nne),nxi(nne),neta(nne),r(ndofe),eps(tncomp),aux;
  ivector nodes(nne),cn(ndofe);
  matrix gm(tncomp,ndofe),tmat;
  vector areacoord(3);
  
  //  natural coordinates of nodes of element
  nodecoord (nxi,neta);
  //  node numbers of element
  Mt->give_elemnodes (eid,nodes);
  //  coordinates of element nodes
  Mt->give_node_coord2d (x,y,eid);
  //  code numbers of element
  Mt->give_code_numbers (eid,cn.a);
  //  nodal displacements
  eldispl (lcid,eid,r.a,cn.a,ndofe);
  
  //  transformation of displacement vector
  long transf = Mt->locsystems (nodes);
  if (transf>0){
    allocv (ndofe,aux);
    allocm (ndofe,ndofe,tmat);
    transf_matrix (nodes,tmat);
    locglobtransf (aux,r,tmat);
    copyv (aux,r);
    destrv (aux);
    destrm (tmat);
  }
  
  
  for (i=0;i<nne;i++){
    //  block of geometric matrix
    geom_matrix (gm,areacoord,x,y);
    //  strain computation
    mxv (gm,r,eps);
    
    //  storage of nodal strains
    j=nodes[i];
    Mt->nodes[j].storestrain (lcid,0,eps);
  }
*/  
}


/**
   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 axisymlt::res_allip_strains (long lcid,long eid)
{
  allip_strains (lcid,eid,0,0);
}
/**
   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 axisymlt::allip_strains (long lcid,long eid,long ri,long ci)
{
  //  blocks of strain components at integration points
  res_mainip_strains (lcid,eid);
}


void axisymlt::strains (long lcid,long eid,long ri,long ci)
{
  vector coord,eps;
  
  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__);
  }
  }

}

/**
   function assembles natural coordinates of nodes of element
   
   @param xi - array containing natural coordinates xi
   @param eta - array containing natrual coordinates eta
   
   10.5.2002
*/
void axisymlt::nodecoord (vector &xi,vector &eta)
{
  xi[0] = 0.0;  eta[0] = 0.0;
  xi[1] = 1.0;  eta[1] = 0.0;
  xi[2] = 0.0;  eta[2] = 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, 25.9.2004
*/
void axisymlt::nodipnum (long eid,ivector &ipnum)
{
  long i,j;
  
  j=intordsm[0][0];
  i=Mt->elements[eid].ipp[0][0];
  
  /*
  ipnum[0]=i+j*(j-1)+j-1;
  ipnum[1]=i+j-1;
  ipnum[2]=i;
  ipnum[3]=i+j*(j-1);
  */
  
  ipnum[0]=i+0;
  ipnum[1]=i+0;
  ipnum[2]=i+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 axisymlt::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
   
   @param lcid - load case id
   @param eid - element id
   
   JK
*/
void axisymlt::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 axisymlt::mainip_stresses (long lcid,long eid,long ri,long ci)
{
  long i,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++){
    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 in nodes
   
   @param lcid - load case id
   @param eid - element id
   @param ri,ci - row and column indices
   
   10.5.2002
*/
void axisymlt::nod_stresses_ip (long lcid,long eid)
{
  long i,j;
  ivector ipnum(nne),nod(nne);
  vector sig(tncomp);
  
  //  numbers of integration points closest to nodes
  nodipnum (eid,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 axisymlt::nod_stresses_comp (long lcid,long eid)
{
/*
  long i,j,ipp;
  double jac;
  vector x(nne),y(nne),nxi(nne),neta(nne),r(ndofe),eps(tncomp),sig(tncomp),aux;
  ivector nodes(nne),cn(ndofe);
  matrix gm(tncomp,ndofe),tmat,d(tncomp,tncomp);
  
  //  natural coordinates of nodes of element
  nodecoord (nxi,neta);
  //  node numbers of element
  Mt->give_elemnodes (eid,nodes);
  //  coordinates of element nodes
  Mt->give_node_coord2d (x,y,eid);
  //  code numbers of element
  Mt->give_code_numbers (eid,cn.a);
  //  nodal displacements
  eldispl (lcid,eid,r.a,cn.a,ndofe);
  
  //  transformation of displacement vector
  long transf = Mt->locsystems (nodes);
  if (transf>0){
    allocv (ndofe,aux);
    allocm (ndofe,ndofe,tmat);
    transf_matrix (nodes,tmat);
    locglobtransf (aux,r,tmat);
    copyv (aux,r);
    destrv (aux);
    destrm (tmat);
  }
  
  
  ipp=Mt->elements[eid].ipp[0][0]+4;
  for (i=0;i<nne;i++){
    
    //Mm->givestrain (lcid,ipp,eps);
    Mm->givestress (lcid,ipp,sig);
    
    //  number of actual node
    j=nodes[i];
    //  storage of nodal strains
    //Mt->nodes[j].storestrain (lcid,0,tncomp,eps);
    //  storage of nodal strains
    Mt->nodes[j].storestress (lcid,0,tncomp,sig);
  }
*/  
}


/**
   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 axisymlt::res_allip_stresses (long lcid,long eid)
{
  allip_stresses (lcid,eid,0,0);
}

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