```
TALK=T;RUN(1,1)
photon use
p;;;;

set prop off
con u1 z 1 fi;.001
vec z 1 co 1
pause
con v1 z 1 fi;.001
vec z 1 co 1
pause
con p1 z 1 fi;.001
vec z 1 co 1
pause
con u1/t z 1 fi;.001
vec z 1 co 1
pause
con v1/t z 1 fi;.001
vec z 1 co 1
pause
enduse
DISPLAY
This file presents data-input sets which correspond to 2D (xy)
situations capable of analytical representation in terms of
polynomial stress functions, as described by Timoshenko and
Goodier, 'Theory of Elasticity', Chapter 3, Article 18.

Caseno=1: Plate with uniform shear stress but zero direct stress
(second-degree polynomial with a2=0, b2=finite, c2=0)
The boundary conditons are first expressed by prescribing the
displacements at the edges; the shear stress is compared with the
exact solution.
Then the same problem is solved by prescribing the shear forces
at the boundaries; the computed displacements are compared with
those of the exact solution

Caseno=2: PLate with linear variation of shear stress and
correspondingly non-uniform direct stresses
Analytical solution:
1.   StrY = B3 * Y ; StrXY = - B3 * X; StrX = StrZ = 0

U = - P/E * B3 * X * Y;
V = B3/(2*E)* [ Y^2 - (2+P)*X^2]

2. Boundary Condition for U:
LEFT  : U = 0;
RIGHT : free
UP    : StrXY = - B3*X
DOWN  : StrXY =   B3*X

3. Boundary Condition for V:
LEFT  : V(Y=LY/2) = 0;
RIGHT : StrXY = - B3*LX
UP    : StrY  =   B3*LY/2
DOWN  : StrY  =   B3*LY/2

ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(2D Plate with polynomial stress function)

************************************************************
************************************************************

IRUNN = 1 ;LIBREF = 3
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = T
NX = 10
XULAST =0.12
XFRAC(1)=0.1 ;XFRAC(2)=0.2
XFRAC(3)=0.3 ;XFRAC(4)=0.4
XFRAC(5)=0.5 ;XFRAC(6)=0.6
XFRAC(7)=0.7 ;XFRAC(8)=0.8
XFRAC(9)=0.9 ;XFRAC(10)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 10
YVLAST =0.02
YFRAC(1)=0.1 ;YFRAC(2)=0.2
YFRAC(3)=0.3 ;YFRAC(4)=0.4
YFRAC(5)=0.5 ;YFRAC(6)=0.6
YFRAC(7)=0.7 ;YFRAC(8)=0.8
YFRAC(9)=0.9 ;YFRAC(10)=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(137)=V1/T
NAME(138)=U1/T ;NAME(139)=V1T
NAME(140)=U1T ;NAME(141)=EPSZ
NAME(142)=EPSX ;NAME(143)=EPSY
NAME(144)=STXY ;NAME(145)=STRZ
NAME(146)=STRY ;NAME(147)=STRX
NAME(148)=DRH1 ;NAME(149)=ENUL
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,Y,N,N,N)
SOLUTN(U1,Y,Y,Y,N,N,Y)
SOLUTN(V1,Y,Y,Y,N,N,Y)
SOLUTN(V1/T,Y,N,N,N,N,Y)
SOLUTN(U1/T,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(DRH1,Y,N,N,N,N,Y)
SOLUTN(ENUL,Y,N,N,N,N,Y)
SOLUTN(PRPS,Y,N,N,N,N,Y)
VISL = 149
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.
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=1
*  Name
*Ind. Dens.  Viscos.  Spec.heat  Conduct.  Expans.  Compr.
*
160 7800.0 0.3 473.0 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(V1/T)=1.0E-10
FIINIT(U1/T)=1.0E-10 ;FIINIT(V1T)=1.0E-10
FIINIT(U1T)=1.0E-10 ;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(DRH1)=1.0E-10 ;FIINIT(ENUL)=1.0E-10
FIINIT(PRPS)=-1.
No PATCHes yet used for this Group
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(LEFTU ,EAST , 1, 1, 1, 10, 1, 1, 1, 1)
COVAL(LEFTU ,U1 ,In-Form:source - see Grp 19)

PATCH(LEFTV ,NORTH , 1, 1, 1, 9, 1, 1, 1, 1)
COVAL(LEFTV ,V1 ,In-Form:source - see Grp 19)

PATCH(UPV ,NORTH , 1, 10, 10, 10, 1, 1, 1, 1)
COVAL(UPV ,V1 , FIXFLU ,4.0E+07 )

PATCH(DOWNV ,SOUTH , 1, 10, 1, 1, 1, 1, 1, 1)
COVAL(DOWNV ,V1 , FIXFLU ,4.0E+07 )

PATCH(RIGHTV ,EAST , 10, 10, 1, 9, 1, 1, 1, 1)
COVAL(RIGHTV ,V1 , FIXFLU ,-4.8E+08 )

PATCH(UPU ,NORTH , 1, 9, 10, 10, 1, 1, 1, 1)
COVAL(UPU ,U1 ,In-Form:source - see Grp 19)

PATCH(DOWNU ,SOUTH , 1, 9, 1, 1, 1, 1, 1, 1)
COVAL(DOWNU ,U1 ,In-Form:source - see Grp 19)
XCYCLE = F
EGWF = T
WALLCO = GRND2
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 1000 ;ISWC1 = 1
LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =1.0E-07
************************************************************
Group 16. Terminate Iterations
LITER(P1)=50 ;LITER(U1)=50
LITER(V1)=50
ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03
ENDIT(V1)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(U1,FALSDT,1.)
RELAX(V1,FALSDT,1.)
RELAX(V1/T,LINRLX,1.)
RELAX(U1/T,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(DRH1,LINRLX,1.)
RELAX(ENUL,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(V1/T)=1.0E+10 ;VARMIN(V1/T)=-1.0E+10
VARMAX(U1/T)=1.0E+10 ;VARMIN(U1/T)=-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(DRH1)=1.0E+10 ;VARMIN(DRH1)=-1.0E+10
VARMAX(ENUL)=1.0E+10 ;VARMIN(ENUL)=-1.0E+10
VARMAX(PRPS)=1.0E+10 ;VARMIN(PRPS)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
STRA = T
PARSOL = F
ISG21 = 1000
ISG50 = 1
ISG52 = 1
ISG62 = 1
CSG10   ='Q1'
SPEDAT(SET,STORED,U1T,C,=-6.000001E-03*XU*(YG-1.0E-02)!SWPS!ZSLFIN)
SPEDAT(SET,STORED,V1T,C,=1.0E-02*((YV-1.0E-02)^2-2.3*XG^2)!SWPS!Z\$)
SPEDAT(SET,STORED,V1T,C,SLFIN)
SPEDAT(SET,STORED,U1/T,C,=U1/(U1T+1.E-20)!ZSLFIN)
SPEDAT(SET,STORED,V1/T,C,=V1/(V1T+1.E-20)!ZSLFIN)
SPEDAT(SET,MATERIAL,160,L,T)
SPEDAT(SET,INITIAL,PRPS,C,=160)
SPEDAT(SET,SOURCE,U1!LEFTU,C,=COVAL(1.E6&-6.000001E-03*XU*(YG-1.0\$)
SPEDAT(SET,SOURCE,U1!LEFTU,C,E-02)))
SPEDAT(SET,SOURCE,V1!LEFTV,C,=COVAL(1.E6&1.0E-02*((YV-1.0E-02)^2-\$)
SPEDAT(SET,SOURCE,V1!LEFTV,C,2.3*XG^2)))
SPEDAT(SET,SOURCE,U1!UPU,C,=COVAL(2.0E-10&-4000000000*XU))
SPEDAT(SET,SOURCE,U1!DOWNU,C,=COVAL(2.0E-10&4.0E+09*XU))
SPEDAT(SET,BOUNDARY,ZCONST,R,0.)
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)
************************************************************
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(V1/T,Y,N,Y,N,N,N)
OUTPUT(U1/T,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(DRH1,Y,N,Y,N,N,N)
OUTPUT(ENUL,Y,N,Y,N,N,N)
OUTPUT(PRPS,Y,N,Y,N,N,N)
************************************************************
Group 22. Monitor Print-Out
IXMON = 8 ;IYMON = 2 ;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
No PATCHes yet used for this Group
************************************************************
Group 24. Dumps For Restarts
SAVE = T ;NOWIPE = F
NSAVE =CHAM
STOP
```