TALK=T;RUN(1,1) DISPLAY This problem is the same as that of s104; but nx is given a value greater than 1 as a test of capability, while nz retains its unity value. The stresses, strains and displacements should be independent of$ x. A long, hollow, thick-walled cylinder, immersed in an outer fluid, contains a second fluid having a different pressure. Since conditions vary with radius alone, nx and nz are set = 1 . Two constraints on its length are considered, namely: 1. the cylinder length may extend freely; and 2. the cylinder length may not extend at all. To enable the computed stresses and strains to be compared with theoretical (text-book) values, the latter have been computed. So as to make comparison easy, variables named P1/T etc have also been computed. They represent the calculated values divided by text-book ones. They should all be, and indeed are, close to 1.0; but zero is printed when the text-book value is zero Parameters which may be changed by editing this file include: (a) Material properties: Young's modulus and Poisson's ratio (b) Geometric quantities: inner and outer radius, and length. (c) Mechanical loadings: inner and outer pressures (d) The grid fineness (via NYCYL) (e) The grid-fineness distributions in x and y (via POWERX and POWERY) The text-book solution may be found in section 14.4 of Benham, Crawford and Armstrong, Mechanics of Engineering Materials; and also in Love's Mathematical Theory of Elasticity p144 . ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Pressurised long cylinder; [X,Y] ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 0 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = F NX = 10 XULAST =0.2 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 = 33 YVLAST =0.808 YFRAC(1)=0.247525 ;YFRAC(2)=0.248297 YFRAC(3)=0.250616 ;YFRAC(4)=0.254479 YFRAC(5)=0.259888 ;YFRAC(6)=0.266842 YFRAC(7)=0.275342 ;YFRAC(8)=0.285388 YFRAC(9)=0.296978 ;YFRAC(10)=0.310114 YFRAC(11)=0.324796 ;YFRAC(12)=0.341023 YFRAC(13)=0.358795 ;YFRAC(14)=0.378113 YFRAC(15)=0.398976 ;YFRAC(16)=0.421384 YFRAC(17)=0.445338 ;YFRAC(18)=0.470838 YFRAC(19)=0.497883 ;YFRAC(20)=0.526473 YFRAC(21)=0.556609 ;YFRAC(22)=0.58829 YFRAC(23)=0.621516 ;YFRAC(24)=0.656288 YFRAC(25)=0.692606 ;YFRAC(26)=0.730468 YFRAC(27)=0.769877 ;YFRAC(28)=0.81083 YFRAC(29)=0.853329 ;YFRAC(30)=0.897374 YFRAC(31)=0.942964 ;YFRAC(32)=0.990099 YFRAC(33)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =1. 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(127)=SZ/T NAME(128)=EY/T ;NAME(129)=EX/T NAME(130)=V1/T ;NAME(131)=P1/T NAME(132)=V1TH ;NAME(133)=EZTH NAME(134)=EPSZ ;NAME(135)=SZTH NAME(136)=STRZ ;NAME(137)=EYTH NAME(138)=EPSY ;NAME(139)=SYTH NAME(140)=STRY ;NAME(141)=EXTH NAME(142)=EPSX ;NAME(143)=SXTH NAME(144)=STRX ;NAME(145)=DRH1 NAME(146)=DVO1 ;NAME(147)=ENUL NAME(148)=DEN1 ;NAME(149)=PRPS NAME(150)=P1TH * 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(SZ/T,Y,N,N,N,N,N) SOLUTN(EY/T,Y,N,N,N,N,N) SOLUTN(EX/T,Y,N,N,N,N,N) SOLUTN(V1/T,Y,N,N,N,N,N) SOLUTN(P1/T,Y,N,N,N,N,N) SOLUTN(V1TH,Y,N,N,N,N,N) SOLUTN(EZTH,Y,N,N,N,N,Y) SOLUTN(EPSZ,Y,N,N,N,N,Y) SOLUTN(SZTH,Y,N,N,N,N,Y) SOLUTN(STRZ,Y,N,N,N,N,Y) SOLUTN(EYTH,Y,N,N,N,N,Y) SOLUTN(EPSY,Y,N,N,N,N,Y) SOLUTN(SYTH,Y,N,N,N,N,Y) SOLUTN(STRY,Y,N,N,N,N,Y) SOLUTN(EXTH,Y,N,N,N,N,Y) SOLUTN(EPSX,Y,N,N,N,N,Y) SOLUTN(SXTH,Y,N,N,N,N,Y) SOLUTN(STRX,Y,N,N,N,N,Y) SOLUTN(DRH1,Y,N,N,N,N,Y) SOLUTN(DVO1,Y,N,N,N,N,Y) SOLUTN(ENUL,Y,N,N,N,N,Y) SOLUTN(DEN1,Y,N,N,N,N,Y) SOLUTN(PRPS,Y,N,N,N,N,Y) SOLUTN(P1TH,Y,N,N,N,N,Y) DEN1 = 148 VISL = 147 PRPS = 149 ************************************************************ 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 =0. ;TMP1 =0. EL1 =0. TSURR =0. ;TEMP0 =0. PRESS0 =0. DVO1DT =3.41E-03 ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. ENUL =0. ;ENUT =0. PRNDTL(U1)=1. ;PRNDTL(V1)=1. PRT(U1)=1. ;PRT(V1)=1. CP1 =1005. ;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)=1.0E-10 ;FIINIT(U1)=1.0E-10 FIINIT(V1)=1.0E-10 ;FIINIT(SZ/T)=1.0E-10 FIINIT(EY/T)=1.0E-10 ;FIINIT(EX/T)=1.0E-10 FIINIT(V1/T)=1.0E-10 ;FIINIT(P1/T)=1.0E-10 FIINIT(V1TH)=1.0E-10 ;FIINIT(EZTH)=1.001E-10 FIINIT(EPSZ)=1.001E-10 ;FIINIT(SZTH)=1.001E-10 FIINIT(STRZ)=1.001E-10 ;FIINIT(EYTH)=1.001E-10 FIINIT(EPSY)=1.001E-10 ;FIINIT(SYTH)=1.001E-10 FIINIT(STRY)=1.001E-10 ;FIINIT(EXTH)=1.001E-10 FIINIT(EPSX)=1.001E-10 ;FIINIT(SXTH)=1.001E-10 FIINIT(STRX)=1.001E-10 ;FIINIT(DRH1)=1.001E-10 FIINIT(DVO1)=1.001E-10 ;FIINIT(ENUL)=1.001E-10 FIINIT(DEN1)=1.001E-10 ;FIINIT(PRPS)=0. FIINIT(P1TH)=1.001E-10 PATCH(INNER ,INIVAL, 1, 10, 1, 1, 1, 1, 1, 1) INIT(INNER ,P1 ,In-Form:initial value - G19) PATCH(OUTER ,INIVAL, 1, 10, 33, 33, 1, 1, 1, 1) INIT(OUTER ,P1 ,In-Form:initial value - G19) PATCH(OB3 ,INIVAL, 1, 10, 2, 32, 1, 1, 1, 1) INIT(OB3 ,PRPS,0. ,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(IN ,VOLUME, 1, 10, 1, 1, 1, 1, 1, 1) COVAL(IN ,P1 ,In-Form:source - see Grp 19) PATCH(OUT ,VOLUME, 1, 10, 33, 33, 1, 1, 1, 1) COVAL(OUT ,P1 ,In-Form:source - see Grp 19) PATCH(LOWX ,WWALL , 1, 1, 2, 32, 1, 1, 1, 1) COVAL(LOWX ,U1 , FIXVAL ,0. ) PATCH(HIGHX ,EWALL , 10, 10, 2, 32, 1, 1, 1, 1) COVAL(HIGHX ,U1 , FIXVAL ,0. ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 400 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-07 ************************************************************ Group 16. Terminate Iterations LITER(P1)=20 ;LITER(U1)=10 LITER(V1)=20 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(SZ/T,LINRLX,1.) RELAX(EY/T,LINRLX,1.) RELAX(EX/T,LINRLX,1.) RELAX(V1/T,LINRLX,1.) RELAX(P1/T,LINRLX,1.) RELAX(V1TH,LINRLX,1.) RELAX(EZTH,LINRLX,1.) RELAX(EPSZ,LINRLX,1.) RELAX(SZTH,LINRLX,1.) RELAX(STRZ,LINRLX,1.) RELAX(EYTH,LINRLX,1.) RELAX(EPSY,LINRLX,1.) RELAX(SYTH,LINRLX,1.) RELAX(STRY,LINRLX,1.) RELAX(EXTH,LINRLX,1.) RELAX(EPSX,LINRLX,1.) RELAX(SXTH,LINRLX,1.) RELAX(STRX,LINRLX,1.) RELAX(DRH1,LINRLX,1.) RELAX(DVO1,LINRLX,1.) RELAX(ENUL,LINRLX,1.) RELAX(DEN1,LINRLX,1.) RELAX(PRPS,LINRLX,1.) RELAX(P1TH,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(SZ/T)=1.0E+10 ;VARMIN(SZ/T)=-1.0E+10 VARMAX(EY/T)=1.0E+10 ;VARMIN(EY/T)=-1.0E+10 VARMAX(EX/T)=1.0E+10 ;VARMIN(EX/T)=-1.0E+10 VARMAX(V1/T)=1.0E+10 ;VARMIN(V1/T)=-1.0E+10 VARMAX(P1/T)=1.0E+10 ;VARMIN(P1/T)=-1.0E+10 VARMAX(V1TH)=1.0E+10 ;VARMIN(V1TH)=-1.0E+10 VARMAX(EZTH)=1.0E+10 ;VARMIN(EZTH)=-1.0E+10 VARMAX(EPSZ)=1.0E+10 ;VARMIN(EPSZ)=-1.0E+10 VARMAX(SZTH)=1.0E+10 ;VARMIN(SZTH)=-1.0E+10 VARMAX(STRZ)=1.0E+10 ;VARMIN(STRZ)=-1.0E+10 VARMAX(EYTH)=1.0E+10 ;VARMIN(EYTH)=-1.0E+10 VARMAX(EPSY)=1.0E+10 ;VARMIN(EPSY)=-1.0E+10 VARMAX(SYTH)=1.0E+10 ;VARMIN(SYTH)=-1.0E+10 VARMAX(STRY)=1.0E+10 ;VARMIN(STRY)=-1.0E+10 VARMAX(EXTH)=1.0E+10 ;VARMIN(EXTH)=-1.0E+10 VARMAX(EPSX)=1.0E+10 ;VARMIN(EPSX)=-1.0E+10 VARMAX(SXTH)=1.0E+10 ;VARMIN(SXTH)=-1.0E+10 VARMAX(STRX)=1.0E+10 ;VARMIN(STRX)=-1.0E+10 VARMAX(DRH1)=1.0E+10 ;VARMIN(DRH1)=-1.0E+10 VARMAX(DVO1)=1.0E+10 ;VARMIN(DVO1)=-1.0E+10 VARMAX(ENUL)=1.0E+10 ;VARMIN(ENUL)=-1.0E+10 VARMAX(DEN1)=1.0E+10 ;VARMIN(DEN1)=-1.0E+10 VARMAX(PRPS)=1.0E+10 ;VARMIN(PRPS)=-1.0E+10 VARMAX(P1TH)=1.0E+10 ;VARMIN(P1TH)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND STRA = T PARSOL = F CONWIZ = T ISG21 = 200 ISG52 = 1 ISG59 = 1 ISG62 = 1 CSG10 ='Q1' SPEDAT(SET,DOMAIN,PHASE_1_MAT,I,0) SPEDAT(SET,DOMAIN,PROPS_FILE_1,C,Q1) SPEDAT(SET,BOUNDARY,XCONST,R,1.0E+20) SPEDAT(SET,BOUNDARY,ZCONST,R,1.0E+20) SPEDAT(SET,STORED,SYTH,C,=6.666667E+05*(1.0-0.64/RG^2)-0.*(1.0-0.$) SPEDAT(SET,STORED,SYTH,C,04/RG^2)!IMAT>100!ZSLFIN) SPEDAT(SET,STORED,SXTH,C,=6.666667E+05*(1.0+0.64/RG^2)-0.*(1.0+0.$) SPEDAT(SET,STORED,SXTH,C,04/RG^2)!IMAT>100!ZSLFIN) SPEDAT(SET,STORED,EZTH,C,=0!IMAT>100!ZSLFIN) SPEDAT(SET,STORED,SZTH,C,=1.!IMAT>100!ZSLFIN) SPEDAT(SET,STORED,V1TH,C,=0.*RV+0./RV!ZSLFIN) SPEDAT(SET,STORED,EXTH,C,=(SXTH-0.3*(SYTH+SZTH))/2.0E+11!ZSLFIN) SPEDAT(SET,STORED,EYTH,C,=(SYTH-0.3*(SXTH+SZTH))/2.0E+11!ZSLFIN) SPEDAT(SET,STORED,P1TH,C,=(EXTH+EYTH+EZTH)!IMAT>100!ZSLFIN) SPEDAT(SET,STORED,P1/T,C,=P1/P1TH!ZSLFIN) SPEDAT(SET,STORED,V1/T,C,=V1/V1TH!ZSLFIN) SPEDAT(SET,STORED,EX/T,C,=EPSX/EXTH!ZSLFIN) SPEDAT(SET,STORED,EY/T,C,=EPSY/EYTH!ZSLFIN) SPEDAT(SET,STORED,SZ/T,C,=STRZ/SZTH!ZSLFIN) SPEDAT(SET,INITIAL,P1!INNER,C,=1.0E+07) SPEDAT(SET,INITIAL,P1!OUTER,C,=1.E6) SPEDAT(SET,SOURCE,R1!IN,C,=COVAL(2.0E+10&1.0E+07)) SPEDAT(SET,SOURCE,R1!OUT,C,=COVAL(2.0E+10&1.E6)) SPEDAT(SET,OBJNAM,!INNER,C,INNER) SPEDAT(SET,OBJTYP,!INNER,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!OUTER,C,OUTER) SPEDAT(SET,OBJTYP,!OUTER,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!IN,C,INNER) SPEDAT(SET,OBJTYP,!IN,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!OUT,C,OUTER) SPEDAT(SET,OBJTYP,!OUT,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!LOWX,C,LOWX) SPEDAT(SET,OBJTYP,!LOWX,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!HIGHX,C,HIGHX) SPEDAT(SET,OBJTYP,!HIGHX,C,USER_DEFINED) SPEDAT(SET,OBJNAM,!OB3,C,CYLINDER) SPEDAT(SET,OBJTYP,!OB3,C,BLOCKAGE) SPEDAT(SET,CYLINDER,MATERIAL,R,160.) SPEDAT(SET,FACETDAT,NUMOBJ,I,5) 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(SZ/T,Y,N,Y,N,N,N) OUTPUT(EY/T,Y,N,Y,N,N,N) OUTPUT(EX/T,Y,N,Y,N,N,N) OUTPUT(V1/T,Y,N,Y,N,N,N) OUTPUT(P1/T,Y,N,Y,N,N,N) OUTPUT(V1TH,Y,N,Y,N,N,N) OUTPUT(EZTH,Y,N,Y,N,N,N) OUTPUT(EPSZ,Y,N,Y,N,N,N) OUTPUT(SZTH,Y,N,Y,N,N,N) OUTPUT(STRZ,Y,N,Y,N,N,N) OUTPUT(EYTH,Y,N,Y,N,N,N) OUTPUT(EPSY,Y,N,Y,N,N,N) OUTPUT(SYTH,Y,N,Y,N,N,N) OUTPUT(STRY,Y,N,Y,N,N,N) OUTPUT(EXTH,Y,N,Y,N,N,N) OUTPUT(EPSX,Y,N,Y,N,N,N) OUTPUT(SXTH,Y,N,Y,N,N,N) OUTPUT(STRX,Y,N,Y,N,N,N) OUTPUT(DRH1,N,N,N,N,N,N) OUTPUT(DVO1,N,N,N,N,N,N) OUTPUT(ENUL,N,N,N,N,N,N) OUTPUT(DEN1,N,N,N,N,N,N) OUTPUT(PRPS,N,N,N,N,N,N) OUTPUT(P1TH,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 5 ;IYMON = 1 ;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 = 33 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