TALK=T;RUN(1,1)
  DISPLAY
   This is a 2D (xy) Plane-Strain problem, in which a beam is bent
   by a torqe applied at its right-hand end.

   The problem has an exact analytical solution which is used to
   enable the accuracy of the computed values to be assessed by
   being divided by the exact values, and printed as U1/T, etc ,
   which, if equal to 1.0 signify correctness. [for casenos 1-11
   only at present.]

   A menu is provided which enables:
   * the Poisson's ratio to be varied
   * the z-dimension to be varied
   * the beam to be made much more slender
   * the end torque to be replaced by a tension force
   * point-wise and distributed forces to be applied
   * temperature gradients to be applied in x and y directions
   * the grid-fineness and distribution to be varied.

  In order to ensure accuracy, the grid distribution in beam-
  thickness is such as to provide one very thin cell near each beam
  surface.
  ENDDIS
  PHOTON USE
  p;;;;



  set prop off
  cl
  msg x-direction-displacement field
  gr ou z 1
  cont U1 z 1 fil;.0001
  vec z 1 y 2 22 col 0
  pause

  cl
  msg y-direction-displacement field
  gr ou z 1
  cont V1 z 1  fil;.0001
  vec z 1  col 0
  pause;cl

  msg v1/v1_exact field
  gr ou z 1
  cont V1/t z 1 fi;.0001
  pause;cl
  msg u1/u1_exact field
  gr ou z 1
  cont u1/t z 1  fil;.0001
  pause;cl
  msg p1/p1_exact field
  gr ou z 1
  cont p1/t z 1  fil;.0001

  ENDUSE
 ************************************************************
  Group 1. Run Title and Number
 ************************************************************
 ************************************************************
 
 TEXT(bent beam in plane strain; s220         )
 
 ************************************************************
 ************************************************************
 
 IRUNN = 1 ;LIBREF = 3
 ************************************************************
  Group 2. Time dependence
 STEADY = T
 ************************************************************
  Group 3. X-Direction Grid Spacing
 CARTES = T
 NX = 22
 XULAST =0.1224
 XFRAC(1)=9.803922E-03 ;XFRAC(2)=0.058824
 XFRAC(3)=0.107843 ;XFRAC(4)=0.156863
 XFRAC(5)=0.205882 ;XFRAC(6)=0.254902
 XFRAC(7)=0.303922 ;XFRAC(8)=0.352941
 XFRAC(9)=0.401961 ;XFRAC(10)=0.45098
 XFRAC(11)=0.5 ;XFRAC(12)=0.54902
 XFRAC(13)=0.598039 ;XFRAC(14)=0.647059
 XFRAC(15)=0.696078 ;XFRAC(16)=0.745098
 XFRAC(17)=0.794118 ;XFRAC(18)=0.843137
 XFRAC(19)=0.892157 ;XFRAC(20)=0.941176
 XFRAC(21)=0.990196 ;XFRAC(22)=1.
 ************************************************************
  Group 4. Y-Direction Grid Spacing
 NY = 22
 YVLAST =0.0408
 YFRAC(1)=9.803922E-03 ;YFRAC(2)=0.058824
 YFRAC(3)=0.107843 ;YFRAC(4)=0.156863
 YFRAC(5)=0.205882 ;YFRAC(6)=0.254902
 YFRAC(7)=0.303922 ;YFRAC(8)=0.352941
 YFRAC(9)=0.401961 ;YFRAC(10)=0.45098
 YFRAC(11)=0.5 ;YFRAC(12)=0.54902
 YFRAC(13)=0.598039 ;YFRAC(14)=0.647059
 YFRAC(15)=0.696078 ;YFRAC(16)=0.745098
 YFRAC(17)=0.794118 ;YFRAC(18)=0.843137
 YFRAC(19)=0.892157 ;YFRAC(20)=0.941176
 YFRAC(21)=0.990196 ;YFRAC(22)=1.
 ************************************************************
  Group 5. Z-Direction Grid Spacing
 PARAB = F
 NZ = 1
 ZWLAST =1.0E-03
 ZFRAC(1)=1.
 ************************************************************
  Group 6. Body-Fitted Coordinates
 ************************************************************
  Group 7. Variables: STOREd,SOLVEd,NAMEd
 ONEPHS = T
 NAME(1)=P1 ;NAME(3)=U1
 NAME(5)=V1 ;NAME(134)=P1/T
 NAME(135)=V1/T ;NAME(136)=U1/T
 NAME(137)=DRH1 ;NAME(138)=DVO1
 NAME(139)=VISL ;NAME(140)=DILT
 NAME(141)=V1T ;NAME(142)=U1T
 NAME(143)=EPSZ ;NAME(144)=EPSX
 NAME(145)=EPSY ;NAME(146)=STXY
 NAME(147)=STRZ ;NAME(148)=STRY
 NAME(149)=STRX ;NAME(150)=PRPS
    * Y in SOLUTN argument list denotes:
    * 1-stored 2-solved 3-whole-field
    * 4-point-by-point 5-explicit 6-harmonic averaging 
 SOLUTN(P1,Y,Y,N,N,N,Y)
 SOLUTN(U1,Y,Y,N,N,N,Y)
 SOLUTN(V1,Y,Y,N,N,N,Y)
 SOLUTN(P1/T,Y,N,N,N,N,N)
 SOLUTN(V1/T,Y,N,N,N,N,N)
 SOLUTN(U1/T,Y,N,N,N,N,N)
 SOLUTN(DRH1,Y,N,N,N,N,Y)
 SOLUTN(DVO1,Y,N,N,N,N,Y)
 SOLUTN(VISL,Y,N,N,N,N,Y)
 SOLUTN(DILT,Y,N,N,N,N,Y)
 SOLUTN(V1T,Y,N,N,N,N,Y)
 SOLUTN(U1T,Y,N,N,N,N,Y)
 SOLUTN(EPSZ,Y,N,N,N,N,Y)
 SOLUTN(EPSX,Y,N,N,N,N,Y)
 SOLUTN(EPSY,Y,N,N,N,N,Y)
 SOLUTN(STXY,Y,N,N,N,N,Y)
 SOLUTN(STRZ,Y,N,N,N,N,Y)
 SOLUTN(STRY,Y,N,N,N,N,Y)
 SOLUTN(STRX,Y,N,N,N,N,Y)
 SOLUTN(PRPS,Y,N,N,N,N,Y)
 VISL = 139
 PRPS = 150
 ************************************************************
  Group 8. Terms & Devices
    * Y in TERMS argument list denotes:
    * 1-built-in source 2-convection 3-diffusion 4-transient
    * 5-first phase variable 6-interphase transport         
 TERMS(P1,Y,Y,Y,N,Y,Y)
 TERMS(U1,Y,Y,Y,Y,Y,Y)
 TERMS(V1,Y,Y,Y,Y,Y,Y)
 DIFCUT =0.5 ;ZDIFAC =1.
 GALA = F ;ADDDIF = F
 ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1
 ************************************************************
  Group 9. Properties used if PRPS is not
  stored, and where PRPS = -1.0 if it is!
 RHO1 =1. ;TMP1 =0.
 EL1 =0.
 TSURR =0. ;TEMP0 =0.
 PRESS0 =0.
 DVO1DT =0. ;DRH1DP =0.
 EMISS =0. ;SCATT =0.
 RADIA =0. ;RADIB =0.
 ENUL =1.0E-05 ;ENUT =0.
 PRNDTL(U1)=1. ;PRNDTL(V1)=1.
 PRT(U1)=1. ;PRT(V1)=1.
 CP1 =1. ;CP2 =1.
   *  List of user-defined materials to be read by EARTH
    MATFLG=T;IMAT=2   
   *  Name
   *Ind. Dens.  Viscos.  Spec.heat  Conduct.  Expans.  Compr.
   *  
    160 7800.0 0.3 473.0 43.0 1.0E-5 0.5E-11
   *  
    161 7800.0 0.0 473.0 43.0 1.0E-5 0.5E-11
 ************************************************************
  Group 10.Inter-Phase Transfer Processes
 ************************************************************
  Group 11.Initial field variables (PHIs)
 FIINIT(P1)=0. ;FIINIT(U1)=0.
 FIINIT(V1)=0. ;FIINIT(P1/T)=1.0E-10
 FIINIT(V1/T)=1.0E-10 ;FIINIT(U1/T)=1.0E-10
 FIINIT(DRH1)=1.0E-10 ;FIINIT(DVO1)=1.0E-10
 FIINIT(VISL)=1.0E-10 ;FIINIT(DILT)=0.
 FIINIT(V1T)=0. ;FIINIT(U1T)=0.
 FIINIT(EPSZ)=1.0E-10 ;FIINIT(EPSX)=1.0E-10
 FIINIT(EPSY)=1.0E-10 ;FIINIT(STXY)=1.0E-10
 FIINIT(STRZ)=1.0E-10 ;FIINIT(STRY)=1.0E-10
 FIINIT(STRX)=1.0E-10 ;FIINIT(PRPS)=0.
 
 PATCH(BODY ,INIVAL, 2, 21, 2, 21, 1, 1, 1, 1)
 INIT(BODY ,PRPS, FIXVAL ,160. )
 INIADD = F
 FSWEEP = 1
 NAMFI =CHAM
 ************************************************************
  Group 12. Patchwise adjustment of terms
  Patches for this group are printed with those
  for Group 13.
  Their names begin either with GP12 or &
 ************************************************************
  Group 13. Boundary & Special Sources
 
 PATCH(AXESUU ,WEST , 1, 1, 2, 21, 1, 1, 1, 1)
 COVAL(AXESUU ,U1 ,1.0E+06 ,0. )
 
 PATCH(FORC01 ,EAST , 21, 21, 2, 21, 1, 1, 1, 1)
 
 PATCH(RIGHTEND,CELL , 21, 21, 2, 21, 1, 1, 1, 1)
 COVAL(RIGHTEND,U1 ,In-Form:source - see Grp 19)
 
 PATCH(RIGHTENV,CELL , 21, 21, 1, 21, 1, 1, 1, 1)
 COVAL(RIGHTENV,V1 ,In-Form:source - see Grp 19)
 
 PATCH(AXESVV ,CELL , 2, 2, 1, 21, 1, 1, 1, 1)
 COVAL(AXESVV ,V1 ,In-Form:source - see Grp 19)
 XCYCLE = F
 EGWF = T
 WALLCO = GRND2
 ************************************************************
  Group 14. Downstream Pressure For PARAB
 ************************************************************
  Group 15. Terminate Sweeps
 LSWEEP = 1600 ;ISWC1 = 1
 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
 SELREF = T
 RESFAC =1.0E-08
 ************************************************************
  Group 16. Terminate Iterations
 LITER(P1)=4 ;LITER(U1)=10
 LITER(V1)=100
 ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03
 ENDIT(V1)=0.
 ************************************************************
  Group 17. Relaxation
 RELAX(P1,LINRLX,1.)
 RELAX(U1,FALSDT,1.)
 RELAX(V1,FALSDT,1.)
 RELAX(P1/T,LINRLX,1.)
 RELAX(V1/T,LINRLX,1.)
 RELAX(U1/T,LINRLX,1.)
 RELAX(DRH1,LINRLX,1.)
 RELAX(DVO1,LINRLX,1.)
 RELAX(VISL,LINRLX,1.)
 RELAX(DILT,LINRLX,1.)
 RELAX(V1T,LINRLX,1.)
 RELAX(U1T,LINRLX,1.)
 RELAX(EPSZ,LINRLX,1.)
 RELAX(EPSX,LINRLX,1.)
 RELAX(EPSY,LINRLX,1.)
 RELAX(STXY,LINRLX,1.)
 RELAX(STRZ,LINRLX,1.)
 RELAX(STRY,LINRLX,1.)
 RELAX(STRX,LINRLX,1.)
 RELAX(PRPS,LINRLX,1.)
 OVRRLX =0.
 EXPERT = F ;NNORSL = F
 ************************************************************
  Group 18. Limits
 VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
 VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06
 VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06
 VARMAX(P1/T)=1.0E+10 ;VARMIN(P1/T)=-1.0E+10
 VARMAX(V1/T)=1.0E+10 ;VARMIN(V1/T)=-1.0E+10
 VARMAX(U1/T)=1.0E+10 ;VARMIN(U1/T)=-1.0E+10
 VARMAX(DRH1)=1.0E+10 ;VARMIN(DRH1)=-1.0E+10
 VARMAX(DVO1)=1.0E+10 ;VARMIN(DVO1)=-1.0E+10
 VARMAX(VISL)=1.0E+10 ;VARMIN(VISL)=-1.0E+10
 VARMAX(DILT)=1.0E+10 ;VARMIN(DILT)=-1.0E+10
 VARMAX(V1T)=1.0E+10 ;VARMIN(V1T)=-1.0E+10
 VARMAX(U1T)=1.0E+10 ;VARMIN(U1T)=-1.0E+10
 VARMAX(EPSZ)=1.0E+10 ;VARMIN(EPSZ)=-1.0E+10
 VARMAX(EPSX)=1.0E+10 ;VARMIN(EPSX)=-1.0E+10
 VARMAX(EPSY)=1.0E+10 ;VARMIN(EPSY)=-1.0E+10
 VARMAX(STXY)=1.0E+10 ;VARMIN(STXY)=-1.0E+10
 VARMAX(STRZ)=1.0E+10 ;VARMIN(STRZ)=-1.0E+10
 VARMAX(STRY)=1.0E+10 ;VARMIN(STRY)=-1.0E+10
 VARMAX(STRX)=1.0E+10 ;VARMIN(STRX)=-1.0E+10
 VARMAX(PRPS)=1.0E+10 ;VARMIN(PRPS)=-1.0E+10
 ************************************************************
  Group 19. Data transmitted to GROUND
 STRA = T
 PARSOL = F
 ISG21 = 1600
 ISG50 = 1
 ISG52 = 1
 ISG62 = 1
 CSG10   ='Q1'
 SPEDAT(SET,SOURCE,U1!RIGHTEND,C,=COVAL(1.E10&U1T))
 SPEDAT(SET,SOURCE,V1!RIGHTENV,C,=COVAL(1.0E10&V1T))
 SPEDAT(SET,SOURCE,V1!AXESVV,C,=COVAL(1.E10&V1T))
 SPEDAT(SET,BOUNDARY,ZCONST,R,1.0E+20)
 SPEDAT(SET,LONGNAME,P1,C,pressure_or_dilatation)
 SPEDAT(SET,LONGNAME,PTH,C,dilatation_theoretical)
 SPEDAT(SET,LONGNAME,ENUL,C,viscosity_or__LAME's_G*1.E11)
 SPEDAT(SET,LONGNAME,VISL,C,viscosity_or__LAME's_G*1.E11)
 SPEDAT(SET,LONGNAME,DRH1,C,compressibility_or_LAME's_L+G*1.E11)
 SPEDAT(SET,LONGNAME,DVO1,C,th.exp.co_r_or_H*1.E11)
 SPEDAT(SET,LONGNAME,U1,C,x-direction_velocity_or_displacement)
 SPEDAT(SET,LONGNAME,EPSX,C,x-direction_strain)
 SPEDAT(SET,LONGNAME,EXTH,C,x-direction_strain_theoretical)
 SPEDAT(SET,LONGNAME,STRX,C,x-direction_stress)
 SPEDAT(SET,LONGNAME,SXTH,C,x-direction_stress_theoretical)
 SPEDAT(SET,LONGNAME,V1,C,y-direction_velocity_or_displacement)
 SPEDAT(SET,LONGNAME,EPSY,C,y-direction_strain)
 SPEDAT(SET,LONGNAME,EYTH,C,y-direction_strain_theoretical)
 SPEDAT(SET,LONGNAME,STRY,C,y-direction_stress)
 SPEDAT(SET,LONGNAME,SYTH,C,y-direction_stress_theoretical)
 SPEDAT(SET,LONGNAME,W1,C,z-direction_velocity_or_displacement)
 SPEDAT(SET,LONGNAME,EPSZ,C,z-direction_strain)
 SPEDAT(SET,LONGNAME,STRZ,C,z-direction_stress)
 SPEDAT(SET,LONGNAME,EZTH,C,z-direction_strain_theoretical)
 SPEDAT(SET,LONGNAME,SZTH,C,z-direction_stress_theoretical)
 SPEDAT(SET,LONGNAME,EPST,C,linearthermalexpansion)
 SPEDAT(SET,STORED,V1T,C,=-4.55E-03*((YV-0.51*0.04)^2*0.428571+(XG$)
 SPEDAT(SET,STORED,V1T,C,-0.01*0.12)^2)!ZSLFIN)
 SPEDAT(SET,STORED,DILT,C,=5.2E-03*(YG-0.51*0.04)!IMAT>100!ZSLFIN)
 SPEDAT(SET,STORED,U1T,C,=9.099999E-03*(XU-0.01*0.12)*(YG-0.51*0.0$)
 SPEDAT(SET,STORED,U1T,C,4)!IMAT>100!ZSLFIN)
 SPEDAT(SET,STORED,U1/T,C,=U1/U1T!IMAT>100!ZSLFIN)
 SPEDAT(SET,STORED,V1/T,C,=V1/V1T!ZSLFIN)
 SPEDAT(SET,STORED,P1/T,C,=P1/DILT!IMAT>100!ZSLFIN)
 SPEDAT(SET,MATERIAL,0,L,T)
 SPEDAT(SET,MATERIAL,160,L,T)
 ************************************************************
  Group 20. Preliminary Printout
 ************************************************************
  Group 21. Print-out of Variables
 INIFLD = F ;SUBWGR = F
    * Y in OUTPUT argument list denotes:
    * 1-field 2-correction-eq. monitor 3-selective dumping      
    * 4-whole-field residual 5-spot-value table 6-residual table
 OUTPUT(P1,Y,N,Y,Y,Y,Y)
 OUTPUT(U1,Y,N,Y,Y,Y,Y)
 OUTPUT(V1,Y,N,Y,Y,Y,Y)
 OUTPUT(P1/T,Y,N,Y,N,N,N)
 OUTPUT(V1/T,Y,N,Y,N,N,N)
 OUTPUT(U1/T,Y,N,Y,N,N,N)
 OUTPUT(DRH1,N,N,N,N,N,N)
 OUTPUT(DVO1,Y,N,Y,N,N,N)
 OUTPUT(VISL,N,N,N,N,N,N)
 OUTPUT(DILT,Y,N,Y,N,N,N)
 OUTPUT(V1T,Y,N,Y,N,N,N)
 OUTPUT(U1T,Y,N,Y,N,N,N)
 OUTPUT(EPSZ,Y,N,Y,N,N,N)
 OUTPUT(EPSX,Y,N,Y,N,N,N)
 OUTPUT(EPSY,Y,N,Y,N,N,N)
 OUTPUT(STXY,Y,N,Y,N,N,N)
 OUTPUT(STRZ,Y,N,Y,N,N,N)
 OUTPUT(STRY,Y,N,Y,N,N,N)
 OUTPUT(STRX,Y,N,Y,N,N,N)
 OUTPUT(PRPS,Y,N,Y,N,N,N)
 ************************************************************
  Group 22. Monitor Print-Out
 IXMON = 20 ;IYMON = 11 ;IZMON = 1
 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -1
 UWATCH = T ;USTEER = T
 HIGHLO = F
 ************************************************************
  Group 23.Field Print-Out & Plot Control
 NPRINT = 100000 ;NUMCLS = 5
 NXPRIN = -1 ;IXPRF = 1 ;IXPRL = 10000
 NYPRIN = -1 ;IYPRF = 1 ;IYPRL = 10000
 IPLTF = 1 ;IPLTL = -1 ;NPLT = -1
 ISWPRF = 1 ;ISWPRL = 100000
 ITABL = 3 ;IPROF = 1
 ABSIZ =0.5 ;ORSIZ =0.4
 NTZPRF = 1 ;NCOLPF = 50
 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20
 
 PATCH(VPROF ,PROFIL, 1, 22, 1, 1, 1, 1, 1, 1)
 PLOT(VPROF ,V1 ,0. ,0. )
 PLOT(VPROF ,V1T ,0. ,0. )
 ************************************************************
  Group 24. Dumps For Restarts
 SAVE = T ;NOWIPE = F
 NSAVE =CHAM
STOP