/***********************************************************************
* 
*               *****   ***    ***
*                  *   *   *  *   *
*                 *     ***    ***
*                *     *   *  *   *
*               *****   ***    ***
*
* 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
* 
* V10.0  Decemeber 12, 2001
*
* 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.
***********************************************************************/ 
/***********************************************************************
* Functions zur Vergleichs-Spannungsberechnung
*
* torgh:  gh fuer torus nr.8 & 12
* sheigh: gh fuer scheibe nr.7 & 11
* hexgh:  gh fuer hexaeder nr.1 & nr.10
* platgh: gh fuer platte nr.18,19 und 20
*
* 29.5.2002 Rieg
***********************************************************************/

/***********************************************************************
* Fuer UNIX
***********************************************************************/
#ifdef FR_UNIX
#include <z88d.h>
#include <math.h>        /* FR_SQRT */
#endif

/***********************************************************************
* Fuer Windows 95
***********************************************************************/
#ifdef FR_WIN95
#include <z88d.h>
#include <math.h>        /* FR_SQRT */
#endif

/***********************************************************************
* hier beginnt Function torgh
***********************************************************************/
FR_DOUBLE torgh(FR_DOUBLE sig[])
{        
FR_DOUBLE fret;
fret= FR_SQRT(sig[1]*sig[1] + sig[4]*sig[4] + sig[2]*sig[2] - 
             (sig[1]*sig[4] + sig[4]*sig[2] + sig[1]*sig[2]) +
           3.*sig[3]*sig[3]);
return(fret);
}
        
/***********************************************************************
* hier beginnt Function sheigh
***********************************************************************/
FR_DOUBLE sheigh(FR_DOUBLE sig[])
{
FR_DOUBLE fret;
fret= FR_SQRT(sig[1]*sig[1] + sig[2]*sig[2] - sig[1]*sig[2] +
           3.*sig[3]*sig[3]);
return(fret);
}
        
/***********************************************************************
* hier beginnt Function hexgh
***********************************************************************/
FR_DOUBLE hexgh(FR_DOUBLE sig[])
{
FR_DOUBLE fret;
fret= FR_SQRT(sig[1]*sig[1] + sig[2]*sig[2] + sig[3]*sig[3] - 
             (sig[1]*sig[2] + sig[2]*sig[3] + sig[1]*sig[3]) + 
          3.*(sig[4]*sig[4] + sig[5]*sig[5] + sig[6]*sig[6]));
return(fret);
}

/***********************************************************************
* hier beginnt Function platgh
***********************************************************************/
FR_DOUBLE platgh(FR_DOUBLE rsig[])
{
FR_DOUBLE fret;
fret= FR_SQRT(rsig[1]*rsig[1] + rsig[2]*rsig[2]
             -rsig[1]*rsig[2] + 3.*rsig[3]*rsig[3]);
return(fret);
}