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/***********************************************************************
*
* ***** *** ***
* * * * * *
* * *** ***
* * * * * *
* ***** *** ***
*
* A FREE Finite Elements Analysis Program in ANSI C for the UNIX OS.
*
* Composed and edited and copyright by
* Professor Dr.-Ing. Frank Rieg, University of Bayreuth, Germany
*
* eMail:
* frank.rieg@uni-bayreuth.de
* dr.frank.rieg@t-online.de
*
* V12.0 February 14, 2005
*
* Z88 should compile and run under any UNIX OS and Motif 2.0.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2, or (at your option)
* any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; see the file COPYING. If not, write to
* the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
***********************************************************************/
/***********************************************************************
* diese Compilerunit umfasst: bspur88 - Lastvektorroutine Ele 17
* bsb88 - Formfunktionen und Ableitungen
* 29.9.2005 Rieg
***********************************************************************/
/***********************************************************************
* Fuer UNIX
***********************************************************************/
#ifdef FR_UNIX
#include <z88f.h>
#include <stdio.h>
#endif
/***********************************************************************
* Fuer Windows 95
***********************************************************************/
#ifdef FR_WIN95
#include <z88f.h>
#include <stdio.h>
#endif
/***********************************************************************
* Functions
***********************************************************************/
int bsb88(FR_DOUBLE *,FR_DOUBLE *);
/***********************************************************************
* hier beginnt Function bspur88
***********************************************************************/
int bspur88(void)
{
extern FR_DOUBLE xk[],yk[],zk[];
extern FR_DOUBLE be[],hi[];
extern FR_DOUBLE pree;
extern FR_INT4 intore;
FR_DOUBLE r,s,wt;
FR_INT4 i,igauss,j;
/*----------------------------------------------------------------------
* Gauss-Legendre Stuetzstellen fuer r
*---------------------------------------------------------------------*/
static FR_DOUBLE rg[40]=
{
0.,0.,0.,0.,0.,0.,0., /* Elemente 0 - 6 leer */
0.1666666666667, /* intore = 3, 1.Ele Start bei i=7 */
0.6666666666667,
0.1666666666667,
0.,0.,0.,0.,0., /* Elemente 10-14 leer */
0.1012865073235, /* intore = 7, 1.Ele Start bei i=15 */
0.7974269853531,
0.1012865073235,
0.4701420641051,
0.4701420641051,
0.0597158717898,
0.3333333333333,
0.,0.,0.,0.,0., /* Elemente 22-26 leer */
0.0651301029022, /* intore =13, 1.Ele Start bei i=27 */
0.8697397941956,
0.0651301029022,
0.3128654960049,
0.6384441885698,
0.0486903154253,
0.6384441885698,
0.3128654960049,
0.0486903154253,
0.2603459660790,
0.4793080678419,
0.2603459660790,
0.3333333333333
};
/*----------------------------------------------------------------------
* Gauss-Legendre Stuetzstellen fuer s
*---------------------------------------------------------------------*/
static FR_DOUBLE sg[40]=
{
0.,0.,0.,0.,0.,0.,0., /* Elemente 0 - 6 leer */
0.1666666666667, /* intore = 3, 1.Ele Start bei i=7 */
0.1666666666667,
0.6666666666667,
0.,0.,0.,0.,0., /* Elemente 10-14 leer */
0.1012865073235, /* intore = 7, 1.Ele Start bei i=15 */
0.1012865073235,
0.7974269853531,
0.0597158717898,
0.4701420641051,
0.4701420641051,
0.3333333333333,
0.,0.,0.,0.,0., /* Elemente 22-26 leer */
0.0651301029022, /* intore =13, 1.Ele Start bei i=27 */
0.0651301029022,
0.8697397941956,
0.0486903154253,
0.3128654960049,
0.6384441885698,
0.0486903154253,
0.6384441885698,
0.3128654960049,
0.2603459660790,
0.2603459660790,
0.4793080678419,
0.3333333333333
};
/*----------------------------------------------------------------------
* Gauss-Legendre Integrationsgewichte
*---------------------------------------------------------------------*/
static FR_DOUBLE wg[40]=
{
0.,0.,0.,0.,0.,0.,0., /* Elemente 0 - 6 leer */
0.3333333333333, /* intore = 3, 1.Ele Start bei i=7 */
0.3333333333333,
0.3333333333333,
0.,0.,0.,0.,0., /* Elemente 10-14 leer */
0.1259391805448, /* intore = 7, 1.Ele Start bei i=15 */
0.1259391805448,
0.1259391805448,
0.1323941527885,
0.1323941527885,
0.1323941527885,
0.225,
0.,0.,0.,0.,0., /* Elemente 22-26 leer */
0.0533472356088, /* intore =13, 1.Ele Start bei i=27 */
0.0533472356088,
0.0533472356088,
0.0771137608903,
0.0771137608903,
0.0771137608903,
0.0771137608903,
0.0771137608903,
0.0771137608903,
0.1756152574332,
0.1756152574332,
0.1756152574332,
-0.1495700444677
};
/*----------------------------------------------------------------------
* intore anpassen, damit Verwendung mit spur88 moeglich ist
*---------------------------------------------------------------------*/
if(intore == 1 || intore == 4) intore = 3;
if(intore == 5) intore = 7;
/*----------------------------------------------------------------------
* Elementlastvektor aufstellen
*---------------------------------------------------------------------*/
for(i = 1;i <= 9;i++)
be[i]= 0.;
for(igauss = 1;igauss <= intore;igauss++)
{
r= rg[igauss+2*intore];
s= sg[igauss+2*intore];
/*======================================================================
* Matrix b der partiellen Ableitungen & Jacobi Determinante holen
*=====================================================================*/
bsb88(&r,&s);
wt= wg[igauss+2*intore]*0.5 ; /* Gaussg. halbieren */
for(j = 1;j <= 9;j++)
{
be[j]+= hi[j]*wt*pree;
}
}
return(0);
}
/***********************************************************************
* hier beginnt Function bsb88
***********************************************************************/
int bsb88(FR_DOUBLE *r,FR_DOUBLE *s)
{
extern FR_DOUBLE h[],hi[],p[],xk[],yk[],zk[];
FR_DOUBLE sx,sy,sz,sx1,sx2,sx3,sx4,sy1,sy2,sy3,sy4,sz1,sz2,sz3,sz4;
FR_INT4 i,k;
/*----------------------------------------------------------------------
* Formfunktionen
*---------------------------------------------------------------------*/
h[1]= 1. - (*r) - (*s);
h[2]= (*r);
h[3]= (*s);
/*----------------------------------------------------------------------
* Partielle Ableitung der Formfunktionen nach r
*---------------------------------------------------------------------*/
p[1]= -1.;
p[2]= 1.;
p[3]= 0.;
/*----------------------------------------------------------------------
* Partielle Ableitung der Formfunktionen nach s
*---------------------------------------------------------------------*/
p[4] = -1.;
p[5] = 0.;
p[6] = 1.;
/*----------------------------------------------------------------------
* Entwickeln der Formfunktionen fuer den Lastvektor be
*---------------------------------------------------------------------*/
/*----------------------------------------------------------------------
* Normalenvektor am Punkt (x,y,z) entwickeln
*---------------------------------------------------------------------*/
sx1=0.;
sx2=0.;
sx3=0.;
sx4=0.;
sy1=0.;
sy2=0.;
sy3=0.;
sy4=0.;
sz1=0.;
sz2=0.;
sz3=0.;
sz4=0.;
for(k = 1;k <= 3;k++)
{
sx1+= p[3+k]*yk[k];
sx2+= p[k ]*zk[k];
sx3+= p[k ]*yk[k];
sx4+= p[3+k]*zk[k];
sy1+= p[3+k]*zk[k];
sy2+= p[k ]*xk[k];
sy3+= p[k ]*zk[k];
sy4+= p[3+k]*xk[k];
sz1+= p[3+k]*xk[k];
sz2+= p[k ]*yk[k];
sz3+= p[k ]*xk[k];
sz4+= p[3+k]*yk[k];
}
sx= sx1*sx2-sx3*sx4; /* Normalenvektor */
sy= sy1*sy2-sy3*sy4;
sz= sz1*sz2-sz3*sz4;
/*----------------------------------------------------------------------
* Entwickeln der Formfunktionen fuer den Lastvektor be
*---------------------------------------------------------------------*/
for(i = 1;i <= 9;i++)
hi[i]= 0.;
for(k = 1;k <= 3;k++)
{
hi[(k-1)*3+1]= h[k]*sx;
hi[(k-1)*3+2]= h[k]*sy;
hi[(k-1)*3+3]= h[k]*sz;
}
return(0);
}
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