TALK=F;RUN( 1, 1)
************************************************************
Q1 created by VDI menu, Version 2007, Date 26/09/07
CPVNAM=VDI;SPPNAM=Core
************************************************************
Echo DISPLAY / USE settings
DISPLAY
Experiment Q1 ==> VR
A rectangular plate of dimensions LX * LY is
* held fixed along its north and west edges
* subjected to uniform tension along its south edge
* allowed to contract freely along its east edge
* in case 1 (plane stress) allowed to contract freely in the
z-direction
* in case 2 (plane strain) prevented from contracting in the
z-direction.
The distributions of displacement in the xy plane are computed,
and also the corresponding stresses and strains in all three
directions.
A uniform cartesian grid is used.
The computed results are compared with the analytically-derived
values.
Cases 3 and 4 represent the same situation but with then lower-IY
part of the plate being composed of a different material from the
uper part. This material has 10 times the compressibility of the
first material.
In case 3, the poisson's ratio is one tenth that of the first
material, so that the lateral extension remains the same, and
the solution remains one-dimensional.
In case 4 the poisson's ratio is the same as that of the first
material; so the lateral extensions differ, and the solution
becomes two-dimensional.
One-dimensionality can however be restored by making LX much
smaller than LY, for example by moving two spaces to the left
(and so activating) the line LX=LY/100 below.
ENDDIS
PHOTON USE
p;;;;
set prop off
cl
msg x-displacement fields
gr ou z 1
cont U1 z 1 fil;.0001
vec z 1 co 1
pause
cl
msg y-displacement fields
gr ou z 1
cont V1 z 1 fil;.0001
vec z 1 co 1
pause
cl
msg x-direction strain fields
msg of interest only for casenos 3 and 4
gr ou z 1
cont epsx z 1 fil;.0001
pause
cl
msg y-direction strain fields
msg of interest only for casenos 3 and 4
gr ou z 1
cont epsy z 1 fil;.0001
pause
cl
msg shear-stress fields
msg of interest only for casenos 3 and 4
gr ou z 1
cont stxy z 1 fil;.0001
ENDUSE
************************************************************
IRUNN = 1 ;LIBREF = 204
************************************************************
Group 1. Run Title
TEXT(2D xy 2-material plate in tension; s204 )
************************************************************
Group 2. Transience
STEADY = T
************************************************************
Groups 3, 4, 5 Grid Information
* Overall number of cells, RSET(M,NX,NY,NZ,tolerance)
RSET(M,16,16,1,1.000000E-05)
************************************************************
Group 6. Body-Fitted coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS = T
* Non-default variable names
NAME(135) =KOND ; NAME(136) =SPH1
NAME(137) =ENUL ; NAME(138) =DEN1
NAME(139) =V1/T ; NAME(140) =U1/T
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
* Solved variables list
SOLVE(P1 ,U1 ,V1 )
* Stored variables list
STORE(PRPS,STRX,STRY,STRZ,STXY,EPSY,EPSX,EPSZ)
STORE(U1T ,V1T ,U1/T,V1/T,DEN1,ENUL,SPH1,KOND)
* Additional solver options
SOLUTN(P1 ,Y,Y,Y,N,N,N)
SOLUTN(U1 ,Y,Y,Y,N,N,Y)
SOLUTN(V1 ,Y,Y,Y,N,N,Y)
************************************************************
Echo InForm settings for Group 7
inform7begin
***** SELECT CASENO ******
integer(caseno)
caseno = 1 : z free
caseno = 2 : z fixed
caseno = 3 : z free, 2nd material has Poisson's
ratio and Young's modulus divided by 10
caseno = 4 : free, 2nd material has only
Young's modulus divided by 10
Note: "theoretical" values for comparison
are not provided for casenos 3 and 4
caseno=2
***** CASENO ******
real(CEPSX,CEPSY,CEPS)
REAL(FY,POISSON,YOUNG)
YOUNG = 1/0.5E-11 ! Young's modulus used for exact solutions
POISSON=0.3 ! Poisson's ratio used for exact solutions
! The above must correspond to the data
! below MATFLG
REAL(LX,LY)
LX=90.e-3
LY=120.e-3
FY= -40.0e6 ! H/m^2 = 40 N/mm^2
IF(CASENO.EQ.2) THEN
CEPSX = FY/YOUNG*(1+POISSON)*POISSON
CEPSY = -FY/YOUNG*(1-POISSON**2)
ELSE
CEPSX = FY/YOUNG*POISSON
CEPSY = -FY/YOUNG
ENDIF
**** CALCULATE analytical solution ***
(STORED VAR U1T IS :CEPSX:*XU)
(STORED VAR V1T IS :CEPSY:*(YV -:LY:))
(STORED VAR U1/T IS U1/(U1T+1.e-20))
(STORED VAR V1/T IS V1/(V1T+1.e-20))
inform7end
************************************************************
Group 8. Terms & Devices
************************************************************
Group 9. Properties
* Domain material index is 160 signifying:
* NOTSET
SETPRPS(1,160,Q1)
ENUT = 0.000000E+00
DRH1DP = 5.000000E-12
DVO1DT = 1.000000E-05
* List of user-defined materials to be read by EARTH
MATFLG=T;IMAT=3
* 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 0.03 473.0 43.0 1.0E-5 0.5E-10
*
162 7800.0 0.3 473.0 43.0 1.0E-5 0.5E-10
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initialise Var/Porosity Fields
FIINIT(P1 ) = 0.000000E+00 ;FIINIT(U1 ) = 0.000000E+00
FIINIT(V1 ) = 0.000000E+00 ;FIINIT(V1/T) = 1.001000E-10
FIINIT(U1/T) = 1.001000E-10 ;FIINIT(V1T ) = 1.001000E-10
FIINIT(U1T ) = 1.001000E-10 ;FIINIT(EPSZ) = 1.001000E-10
FIINIT(EPSX) = 1.001000E-10 ;FIINIT(EPSY) = 1.001000E-10
FIINIT(STXY) = 1.001000E-10 ;FIINIT(STRZ) = 1.001000E-10
FIINIT(STRY) = 1.001000E-10 ;FIINIT(STRX) = 1.001000E-10
FIINIT(PRPS) = 1.600000E+02
No PATCHes used for this Group
INFORM11BEGIN
if(caseno.eq.1.or.caseno.eq.2) then
(INITIAL PRPS at 2ndmat is 160)
endif
if(caseno.eq.3) then
(INITIAL PRPS at 2ndmat is 161)
SPEDAT(SET,MATERIAL,161,L,T)
endif
if(caseno.eq.4) then
(INITIAL PRPS at 2ndmat is 162)
SPEDAT(SET,MATERIAL,162,L,T)
endif
INFORM11END
INIADD = F
************************************************************
Group 12. Convection and diffusion adjustments
No PATCHes used for this Group
************************************************************
Group 13. Boundary & Special Sources
PATCH (UP ,NWALL ,1,0,0,0,0,0,1,1)
COVAL (UP ,V1 , 1.000000E+00, 0.000000E+00)
PATCH (FORS01 ,SOUTH ,2,0,0,0,0,0,1,1)
COVAL (FORS01 ,V1 , FIXFLU ,-4.000000E+07)
PATCH (AXESZZ ,WWALL ,3,0,0,0,0,0,1,1)
COVAL (AXESZZ ,U1 , 1.000000E+00, 0.000000E+00)
EGWF = T
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 100
RESREF(U1 ) = 0.000000E+00 ;RESREF(V1 ) = 0.000000E+00
RESFAC = 1.000000E-07
************************************************************
Group 16. Terminate Iterations
LITER (P1 ) = 50 ;LITER (U1 ) = 50
LITER (V1 ) = 50
************************************************************
Group 17. Relaxation
RELAX(P1 ,LINRLX, 1.000000E+00)
************************************************************
Group 18. Limits
VARMAX(U1 ) = 1.000000E+06 ;VARMIN(U1 ) =-1.000000E+06
VARMAX(V1 ) = 1.000000E+06 ;VARMIN(V1 ) =-1.000000E+06
************************************************************
Group 19. EARTH Calls To GROUND Station
USEGRD = T ;USEGRX = T
STRA = T
ASAP = T
PARSOL = F
ISG21 = 100
ISG52 = 3
CSG10 ='q1'
SPEDAT(SET,BOUNDARY,ZCONST,R,0.00000E+00)
************************************************************
Echo InForm settings for Group 19
inform19begin
IF(CASENO.EQ.2) THEN
SPEDAT(BOUNDARY,ZCONST,R,1.e20) ! z contraction prevented
ELSE
SPEDAT(BOUNDARY,ZCONST,R,0.0) ! z contraction allowed
ENDIF
inform19end
************************************************************
Group 20. Preliminary Printout
ECHO = T
************************************************************
Group 21. Print-out of Variables
************************************************************
Group 22. Monitor Print-Out
IXMON = 14 ;IYMON = 2 ;IZMON = 1
NPRMON = 100000
NPRMNT = 1
TSTSWP = -1
************************************************************
Group 23.Field Print-Out & Plot Control
NPRINT = 100000
NXPRIN = 2
NYPRIN = 2
ISWPRF = 1 ;ISWPRL = 100000
No PATCHes used for this Group
************************************************************
Group 24. Dumps For Restarts
GVIEW(P,0.000000E+00,0.000000E+00,1.000000E+00)
GVIEW(UP,-1.499944E-02,9.998875E-01,0.000000E+00)
> DOM, SIZE, 9.000000E-02, 1.200000E-01, 1.000000E-03
> DOM, MONIT, 7.593750E-02, 1.125000E-02, 5.000000E-04
> DOM, SCALE, 1.000000E+00, 1.000000E+00, 1.000000E+00
> DOM, SNAPSIZE, 1.000000E-02
> GRID, RSET_X_1, 16, 1.000000E+00
> GRID, RSET_Y_1, 16, 1.000000E+00
> GRID, RSET_Z_1, 1, 1.000000E+00
> OBJ, NAME, UP
> OBJ, POSITION, 0.000000E+00, 1.200000E-01, 0.000000E+00
> OBJ, SIZE, 9.000000E-02, 0.000000E+00, 1.000000E-03
> OBJ, GEOMETRY, default
> OBJ, ROTATION24, 1
> OBJ, TYPE, USER_DEFINED
> OBJ, NAME, FORS01
> OBJ, POSITION, 0.000000E+00, 0.000000E+00, 0.000000E+00
> OBJ, SIZE, 9.000000E-02, 0.000000E+00, 1.000000E-03
> OBJ, GEOMETRY, default
> OBJ, ROTATION24, 1
> OBJ, TYPE, USER_DEFINED
> OBJ, NAME, AXESZZ
> OBJ, POSITION, 0.000000E+00, 0.000000E+00, 0.000000E+00
> OBJ, SIZE, 0.000000E+00, 1.200000E-01, 1.000000E-03
> OBJ, GEOMETRY, default
> OBJ, ROTATION24, 1
> OBJ, TYPE, USER_DEFINED
> OBJ, NAME, 2ndmat
> OBJ, POSITION, 0.000000E+00, 0.000000E 00, 0.000000E+00
> OBJ, SIZE, 9.000000E-02, 6.000000E-02, 1.000000E-03
> OBJ, GEOMETRY, default
> OBJ, ROTATION24, 1
> OBJ, TYPE, USER_DEFINED
************************************************************
STOP