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 STEADY = T ************************************************************ 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. 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=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 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(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) SPEDAT(SET,GXMONI,PLOTALL,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(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