199 lines
5.3 KiB
Text
199 lines
5.3 KiB
Text
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SUBROUTINE UEL(RHS,AMATRX,SVARS,ENERGY,NDOFEL,NRHS,NSVARS,PROPS,
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1 NPROPS,COORDS,MCRD,NNODE,U,DU,V,A,JTYPE,TIME,DTIME,KSTEP,KINC,
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2 JELEM,PARAMS,NDLOAD,JDLTYP,ADLMAG,PREDEF,NPREDF,LFLAGS,
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3 MLVARX,DDLMAG,MDLOAD,PNEWDT,JPROPS,NJPROP,PERIOD)
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C
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INCLUDE 'aba_param.inc'
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C
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DIMENSION RHS(MLVARX,*),AMATRX(NDOFEL,NDOFEL),SVARS(NSVARS),
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1 ENERGY(8),PROPS(*),COORDS(MCRD,NNODE),
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2 U(NDOFEL),DU(MLVARX,*),V(NDOFEL),A(NDOFEL),TIME(2),
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3 PARAMS(3),JDLTYP(MDLOAD,*),ADLMAG(MDLOAD,*),
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4 DDLMAG(MDLOAD,*),PREDEF(2,NPREDF,NNODE),LFLAGS(*),JPROPS(*)
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C
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DIMENSION GPX(9),GPY(9),GWEI(9),PHI(8),PHIX(8),PHIY(8),PHIC(8),
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1 PHIE(8),IFACE(9),GWE(3),AR(3)
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C
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PARAMETER(ZERO=0.D0,TWOHUN=200.D0,FIVHUN=500.D0,CONDUC=204.D0)
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DATA IFACE/1,5,2,6,3,7,4,8,1/
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C
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C
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C MATERIAL PROPERTY DEFINITION
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C
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THICK = PROPS(1)
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RHO = PROPS(2)
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SPEC = PROPS(3)
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C
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C INITIALIZATION (NRHS=1)
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C
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DO 6 K1=1,NDOFEL
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RHS(K1,NRHS)=ZERO
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DO 4 K2=1,NDOFEL
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AMATRX(K2,K1)=ZERO
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4 CONTINUE
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6 CONTINUE
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C
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IF (LFLAGS(3).EQ.4) RETURN
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C
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C TRANSIENT ANALYSIS
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C
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IF (LFLAGS(1).EQ.33) THEN
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C
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C DETERMINE GAUSS POINT LOCATIONS
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C
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SUBROUTINE GSPT(GPX,GPY)
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INCLUDE 'aba_param.inc'
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DIMENSION AR(3),GPX(9),GPY(9)
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C
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PARAMETER(ZERO=0.D0,ONENEG=-1.D0,ONE=1.D0,SIX=6.D0,TEN=10.D0)
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C
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C GPX: X COORDINATE OF GAUSS PT
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C GPY: Y COORDINATE OF GAUSS PT
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C
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R=SQRT(SIX/TEN)
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AR(1)=-1.
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AR(2)=0.
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AR(3)=1.
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DO 10 I=1,3
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DO 10 J=1,3
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NUMGP=(I-1)*3+J
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GPX(NUMGP)=AR(I)*R
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GPY(NUMGP)=AR(J)*R
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10 CONTINUE
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RETURN
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END
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CALL GSPT(GPX,GPY)
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C
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C DETERMINE GAUSS WEIGHTS
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C
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CALL GSWT(GWEI,GWE)
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C
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C ASSEMBLE AMATRX AND RHS
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C
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DO 300 K=1,9
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C LOOP THROUGH GAUSS PTS
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C=GPX(K)
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E=GPY(K)
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CALL DER(C,E,GPX,GPY,GWEI,PHI,PHIX,PHIY,PHIC,PHIE
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1 ,DXDC,DXDE,DYDC,DYDE,AJACOB,COORDS,MCRD,NNODE)
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DTDX=ZERO
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DTDY=ZERO
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T =ZERO
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TOLD=ZERO
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DO I=1,8
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DTDX=U(I)*PHIX(I)+DTDX
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DTDY=U(I)*PHIY(I)+DTDY
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T =U(I)*PHI(I)+T
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TOLD=(U(I)-DU(I,NRHS))*PHI(I)+TOLD
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END DO
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C CHECK ON TEMPERATURE DEPENDENCE OF THERMAL CONDUCTIVITY
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COND=CONDUC
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DCDT=ZERO
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DTDT=(T-TOLD)/DTIME
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WE=GWEI(K)*AJACOB
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DO KI=1,8
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C LOOP OVER NODES
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RHS(KI,NRHS) = RHS(KI,NRHS) -
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1 WE*(PHI(KI)*RHO*SPEC*DTDT +
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2 COND*(PHIX(KI)*DTDX + PHIY(KI)*DTDY))
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DO KJ=1,8
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AMATRX(KI,KJ)= AMATRX(KI,KJ) + WE*(PHI(KI)*PHI(KJ)*RHO*
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1 SPEC/DTIME + COND*(PHIX(KI)*PHIX(KJ) + PHIY(KI)*
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2 PHIY(KJ)) + DCDT*PHI(KJ)*(PHIX(KI)*DTDX +
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3 PHIY(KI)*DTDY))
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END DO
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END DO
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300 CONTINUE
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C
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RETURN
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END
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C
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C
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SUBROUTINE GSWT(GWEI,GWE)
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INCLUDE 'aba_param.inc'
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DIMENSION GWEI(9),GWE(3)
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C
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PARAMETER(FIVE=5.D0,EIGHT=8.D0,NINE=9.D0)
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C
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C GWEI : GAUSS WEIGHT
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C
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GWE(1)=FIVE/NINE
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GWE(2)=EIGHT/NINE
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GWE(3)=FIVE/NINE
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DO 10 I=1,3
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DO 10 J=1,3
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NUMGP=(I-1)*3+J
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GWEI(NUMGP)=GWE(I)*GWE(J)
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10 CONTINUE
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RETURN
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END
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C
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SUBROUTINE DER(C,E,GPX,GPY,GWEI,PHI,PHIX,PHIY,PHIC,PHIE,
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1 DXDC,DXDE,DYDC,DYDE,AJACOB,COORDS,MCRD,NNODE)
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INCLUDE 'aba_param.inc'
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DIMENSION PHI(8),PHIX(8),PHIY(8),PHIC(8),PHIE(8),
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1 COORDS(MCRD,NNODE)
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C
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PARAMETER(ZERO=0.D0,FOURTH=0.25D0,HALF=0.5D0,ONE=1.D0,TWO=2.D0)
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C
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C INTERPOLATION FUNCTIONS
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C
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PHI(1) = FOURTH*(ONE-C)*(ONE-E)*(-C-E-ONE)
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PHI(2) = FOURTH*(ONE+C)*(ONE-E)*(C-E-ONE)
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PHI(3) = FOURTH*(ONE+C)*(ONE+E)*(C+E-ONE)
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PHI(4) = FOURTH*(ONE-C)*(ONE+E)*(-C+E-ONE)
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PHI(5) = HALF*(ONE-C*C)*(ONE-E)
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PHI(6) = HALF*(ONE+C)*(ONE-E*E)
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PHI(7) = HALF*(ONE-C*C)*(ONE+E)
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PHI(8) = HALF*(ONE-C)*(ONE-E*E)
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C
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C DERIVATIVES WRT TO C
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C
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PHIC(1) = FOURTH*(ONE-E)*(TWO*C+E)
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PHIC(2) = FOURTH*(ONE-E)*(TWO*C-E)
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PHIC(3) = FOURTH*(ONE+E)*(TWO*C+E)
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PHIC(4) = FOURTH*(ONE+E)*(TWO*C-E)
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PHIC(5) = -C*(ONE-E)
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PHIC(6) = HALF*(ONE-E*E)
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PHIC(7) = -C*(ONE+E)
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PHIC(8) = -HALF*(ONE-E*E)
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C
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C DERIVATIVES WRT TO E
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C
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PHIE(1) = FOURTH*(ONE-C)*(TWO*E+C)
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PHIE(2) = FOURTH*(ONE+C)*(TWO*E-C)
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PHIE(3) = FOURTH*(ONE+C)*(TWO*E+C)
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PHIE(4) = FOURTH*(ONE-C)*(TWO*E-C)
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PHIE(5) = -HALF*(ONE-C*C)
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PHIE(6) = -E*(ONE+C)
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PHIE(7) = HALF*(ONE-C*C)
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PHIE(8) = -E*(ONE-C)
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DXDC=ZERO
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DXDE=ZERO
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DYDC=ZERO
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DYDE=ZERO
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DO 3 I=1,8
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DXDC=DXDC+COORDS(1,I)*PHIC(I)
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DXDE=DXDE+COORDS(1,I)*PHIE(I)
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DYDC=DYDC+COORDS(2,I)*PHIC(I)
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DYDE=DYDE+COORDS(2,I)*PHIE(I)
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3 CONTINUE
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C
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C CALCULATION OF JACOBIAN
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C
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AJACOB=(DXDC*DYDE-DXDE*DYDC)
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C
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C DERIVATIVES WRT TO X AND Y
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C
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DO 5 I=1,8
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PHIX(I)=(PHIC(I)*DYDE-PHIE(I)*DYDC)/AJACOB
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PHIY(I)=(PHIE(I)*DXDC-PHIC(I)*DXDE)/AJACOB
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5 CONTINUE
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RETURN
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END
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