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SUBROUTINE DTRMEM( IOPT )
C
C DIFFERENTIAL STIFFNESS CALCULATIONS FOR THE TRIANGULAR MEMBRANE
C ELEMENT. THREE 6X6 MATRICES FOR THE PIVOT POINT ARE INSERTED.
C IF THIS ROUTINE IS CALLED FROM DTRIA OR DQUAD ONLY THE IN PLANE
C EFFECTS ARE GENERATED AND THE STRESS VALUES ARE RETURNED.
C
C THE VALUE OF IOPT TELLS US WHICH ROUTINE IS CALLING DTRMEM.
C THE OPTIONS ARE
C IOPT ROUTINE
C ****** *******
C 0 DSIA
C 1 DQDMEM
C 2 DTRIA
C 3 DQUAD
C
C
C THIS ROUTINE COMPUTES AN E-MATRIX UNIQUE TO THIS ROUTINE.
C
C IX IY IZ
C E = JX JY JZ
C KX KY KZ
C
DOUBLE PRECISION E ,C
1 ,KD ,SIGX
2 ,SIGY ,SIGXY
3 ,TEMP1 ,TEMP2
4 ,KIJ
5 ,G ,XSUBB
6 ,XSUBC ,YSUBC
7 ,SUM ,MU
8 ,LAMDA ,DELTA
9 ,TEMP ,GAMMA1
T ,GAMMA2 ,GAMMA3
1 ,DISP ,T
DOUBLE PRECISION AREAT ,DUMDP
C
DIMENSION SUM(3) ,NECPT(6) ,KIJ(36)
C
C
C INTERFACE DATA BLOCKS
C
COMMON /CONDAS/ CONSTS(5)
COMMON /MATIN / MATID, INFLAG, ELTEMP, STRESS, SINTH, COSTH
COMMON /MATOUT/ G11,G12,G13,G22,G23,G33,RHO,ALPHA1,ALPHA2,ALPH12,
1 TSUB0,GSUBE,SIGTEN,SIGCOM,SIGSHE,G2X211,G2X212,G2X222
COMMON /DS1AAA/ NPVT, ICSTM, NCSTM
COMMON /DS1AET/ ECPT(21),ELDEF,LDTEMP,SDISP(9)
COMMON /DS1ADP/ E(9) ,C(54)
1 ,KD(36) ,TEMP1(18)
2 ,TEMP2(18)
3 ,G(9) ,T(9)
4 ,DISP(9) ,MU
5 ,LAMDA ,DELTA
6 ,TEMP ,GAMMA1
7 ,GAMMA2 ,GAMMA3
8 ,AREAT ,XSUBB
9 ,XSUBC ,YSUBC
T ,DUMDP(12) ,THETA
1 ,ICSTM1 ,NPIVOT
2 ,IDUM
3 ,SIGX ,SIGY ,SIGXY
C
EQUIVALENCE ( CONSTS(4) , DEGRA )
EQUIVALENCE (LDTEMP,FTEMP),(NECPT(1),ECPT(1)),(SUM(1),SIGX)
EQUIVALENCE (KIJ(1),KD(1))
C
C
C ******************************************************************
C ECPT( 1) = ELEMENT ID
C ECPT( 2) = GRID POINT A OR 1
C ECPT( 3) = GRID POINT B OR 2
C ECPT( 4) = GRID POINT C OR 3
C ECPT( 5) = THETA = ANGLE OF MATERIAL CUT IF ANISOTROPIC
C ECPT( 6) = MATERIAL ID
C ECPT( 7) = THICKNESS
C ECPT( 8) = NON-STRUCTURAL MASS
C ECPT( 9) = COORD. SYSTEM ID 1
C ECPT(10) = X1
C ECPT(11) = Y1
C ECPT(12) = Z1
C ECPT(13) = COORD. SYSTEM ID 2
C ECPT(14) = X2
C ECPT(15) = Y2
C ECPT(16) = Z2
C ECPT(17) = COORD. SYSTEM ID 3
C ECPT(18) = X3
C ECPT(19) = Y3
C ECPT(20) = Z3
C ECPT(21) = ELEMENT TEMPERATURE
C ECPT(22) = ELEMENT DEFORMATION DELTA
C ECPT(23) = AVG. LOADING TEMPERATURE =(-1) IF NO LOADING TEMP.
C ECPT(24) = X-TRANS POINT 1
C ECPT(25) = Y-TRANS POINT 1
C ECPT(26) = Z-TRANS POINT 1
C ECPT(27) = X-TRANS POINT 2
C ECPT(28) = Y-TRANS POINT 2
C ECPT(29) = Z-TRANS POINT 2
C ECPT(30) = X-TRANS POINT 3
C ECPT(31) = Y-TRANS POINT 3
C ECPT(32) = Z-TRANS POINT 3
C ******************************************************************
C//////
C CALL BUG(4HTMET,0,ECPT,32)
C//////
C
SIGX=0.0D0
SIGY=0.0D0
SIGXY=0.0D0
IF(ECPT(7) .EQ. 0.0 .OR. NECPT(6) .EQ. 0 ) RETURN
C FILL ELEMENT TO GLOBAL E-TRANSFORMATION MATRIX
C
C IVEC = E(1). . .E(3)
C JVEC = E(4). . .E(6)
C KVEC = E(7). . .E(9)
C
DO 10 I=1,3
10 E(I) = DBLE( ECPT(I+13) ) - DBLE( ECPT(I+9) )
C
C LENGTH THEN = XSUBB
C
XSUBB = DSQRT( E(1)**2 + E(2)**2 + E(3)**2 )
C
C R - R (INTERMEDIATE STEP) AND NOMALIZE IVECTOR = E(1). . .E(3)
C C A
C
DO 20 I=1,3
E(I+3) = DBLE( ECPT(I+17) ) - DBLE( ECPT(I+9) )
20 E(I) = E(I) / XSUBB
C
C XSUBC = I DOT (R - R )
C C A
C
XSUBC = E(1) * E(4) + E(2) * E(5) + E(3) * E(6)
C
C KVEC = IVEC CROSS (R - R )
C C A
C
E(7) = E(2) * E(6) - E(3) * E(5)
E(8) = E(3) * E(4) - E(1) * E(6)
E(9) = E(1) * E(5) - E(2) * E(4)
C
C LENGTH = YSUBC
C
YSUBC = DSQRT(E(7)**2 + E(8)**2 + E(9)**2 )
C
C NORMALIZE KVECTOR
E(7) = E(7) / YSUBC
E(8) = E(8) / YSUBC
E(9) = E(9) / YSUBC
C
C JVECTOR = I CROSS K
C
E(4) = E(3) * E(8) - E(2) * E(9)
E(5) = E(1) * E(9) - E(3) * E(7)
E(6) = E(2) * E(7) - E(1) * E(8)
C
C NORMALIZE JVECTOR TO MAKE SURE
TEMP = DSQRT( E(4)**2 + E(5)**2 + E(6)**2 )
E(4) = E(4) / TEMP
E(5) = E(5) / TEMP
E(6) = E(6) / TEMP
C
C MU, LAMDA, AND DELTA
C
MU = 1.0D0 / XSUBB
LAMDA = 1.0D0 / YSUBC
DELTA =(XSUBC/XSUBB) - 1.0D0
AREAT = XSUBB * YSUBC * 0.50D0 * DBLE( ECPT(7) )
C
C C MATRIX C =(3X2) STORED C( 1). . .C( 6)
C A
C C =(3X2) STORED C( 7). . .C(12)
C B
C C =(3X2) STORED C(13). . .C(18)
C C
C
C( 1) = -MU
C( 2) = 0.0D0
C( 3) = 0.0D0
C( 4) = LAMDA * DELTA
C( 5) = C(4)
C( 6) = -MU
C( 7) = MU
C( 8) = 0.0D0
C( 9) = 0.0D0
C(10) = -LAMDA * MU * XSUBC
C(11) = C(10)
C(12) = MU
C(13) = 0.0D0
C(14) = 0.0D0
C(15) = 0.0D0
C(16) = LAMDA
C(17) = LAMDA
C(18) = 0.0D0
C
IF( IOPT .GE. 1 ) GO TO 30
C THE REASON FOR THIS IS THAT IF THE DQDMEM ROUTINE IS CALLING,
C EACH INDIVIDUAL SUBTRIANGLE WILL ALREADY HAVE A SINTH AND COSTH.
C
THETA = ECPT(5) * DEGRA
SINTH = SIN( THETA )
COSTH = COS( THETA )
30 IF( ABS(SINTH) .LT. 1.0E-06 ) SINTH = 0.0E0
C
ELTEMP = ECPT(21)
MATID = NECPT(6)
INFLAG = 2
CALL MAT( ECPT(1) )
C
C FILL G-MATRIX WITH OUTPUT FROM MAT ROUTINE.
C
G(1) = G11
G(2) = G12
G(3) = G13
G(4) = G12
G(5) = G22
G(6) = G23
G(7) = G13
G(8) = G23
G(9) = G33
C
C G, E, C MATRICES ARE COMPLETE
C
C FOLLOWING COMPUTES SIG , SIG , SIG (3X1) VECTOR
C X Y XY
C
C I=3
C = (SUM (G)(C )(E)(T )(DISP )) - (S )(LDTEMP - T )
C I=1 I I I T 0
C
C WHERE S =(G)(ALPHAS) (3X1)
C T
C
SUM(1) = 0.0E0
SUM(2) = 0.0E0
SUM(3) = 0.0E0
C
C MAKE DISPLACEMENT VECTOR DOUBLE PRECISION
C
DO 40 I=1,9
40 DISP(I) = SDISP(I)
C
DO 90 I=1,3
C DO WE NEED TRANSFORMATIONS
C
IF(NECPT(4*I+5)) 50,60,50
50 CALL TRANSD( NECPT(4*I+5),T(1))
CALL GMMATD( T(1),3,3,0, DISP(3*I-2),3,1,0, TEMP1(1))
GO TO 80
C
60 DO 70 J=1,3
IDUM= 3*(I-1)+J
70 TEMP1(J) = DISP(IDUM)
C
80 CALL GMMATD( E(1),2,3,0,TEMP1(1),3,1,0, TEMP2(1) )
CALL GMMATD( C(6*I-5),3,2,0, TEMP2(1),2,1,0, TEMP1(1) )
CALL GMMATD( G(1),3,3,0, TEMP1(1),3,1,0, TEMP2(1) )
C
SUM(1) = SUM(1) + TEMP2(1)
SUM(2) = SUM(2) + TEMP2(2)
SUM(3) = SUM(3) + TEMP2(3)
C
90 CONTINUE
C
IF( LDTEMP .EQ. (-1) ) GO TO 110
C COMPUTE S MATRIX
C T
C
TEMP2(1) = ALPHA1
TEMP2(2) = ALPHA2
TEMP2(3) = ALPH12
C ABOVE IS FOR SINGLE TO DOUBLE PRECISION.
C
CALL GMMATD( G(1),3,3,0, TEMP2(1),3,1,0, TEMP1(1) )
TEMP = FTEMP - TSUB0
DO 100 I=1,3
100 SUM(I) = SUM(I) - TEMP1(I) * TEMP
C
C//////
C CALL BUG(4HSUMS,90,SUM,6)
C//////
C 90 AT 90 SIG = SUM(1), SIG = SUM(2), SIG = SUM(3)
C X Y XY
C
C ABOVE SIMULATES SMA,SDR2-PHASE I+II
C FROM ABOVE THE E MATRIX (3X3), AND THE SUM (3X1) MATRIX ALONG WITH
C XSUBB, XSUBC, AND YSUBC ARE NOW USED...
110 DO 120 I =1,36
120 KD(I) =0.0D0
C
IF( IOPT.EQ. 3 ) AREAT=AREAT/2.0D0
C
MU = SIGX*AREAT
LAMDA = SIGY*AREAT
DELTA = SIGXY *AREAT
C
IF ( IOPT .GE. 2) GO TO 130
KD(1) = LAMDA
KD(2) =-DELTA
KD(7) = KD(2)
KD(8) = MU
130 KD(15) = MU+LAMDA
KD(16) =-DELTA
KD(17) = DELTA
KD(18) = MU -LAMDA
KD(21) = KD(16)
KD(27) = KD(17)
KD(33) = KD(18)
C
C GENERATE C MATRICES
C
DO 140 I=1,54
140 C(I) =0.0D0
C
C FILL NON ZERO TERMS
C
GAMMA1 = 1.0D0 /XSUBB
GAMMA2 = 1.0D0 /YSUBC
GAMMA3 = XSUBC /( XSUBB*YSUBC)
C(3) = GAMMA3 -GAMMA2
C(6) = GAMMA1
C(7) =-C(3)/2.0D0
C(8) =-GAMMA1/2.0D0
C(10)=-GAMMA1
C(14)= C(3)
C(16)=-C(7)
C(17)= C(8)
C
C(21)=-GAMMA3
C(24)=-GAMMA1
C(25)= GAMMA3/2.0D0
C(26)=-C(8)
C(28)= GAMMA1
C(32)=-GAMMA3
C(34)=-C(25)
C(35)= C(26)
C
C(39)=GAMMA2
C(43)=-GAMMA2/2.0D0
C(50)= GAMMA2
C(52)=-C(43)
C
C REPLACE C MATRICES BY (C)(E )(T) FOR EACH POINT
DO 200 I =1,3
IF( NECPT(4*I+5)) 150,160,150
C
C GLOBAL TO BASIC MATRIX T IS GENERATED AGAIN HERE
C
150 CALL TRANSD( NECPT(4*I+5),T(1))
CALL GMMATD( E(1),3,3,0, T(1),3,3,0, TEMP1(1) )
GO TO 180
160 DO 170 J =1,9
170 TEMP1(J) = E(J)
C
180 CALL GMMATD( C(18*I-17),6,3,0, TEMP1(1),3,3,0, TEMP2(1))
DO 190 J=1,18
IDUM = 18*(I-1) +J
190 C(IDUM) = TEMP2(J)
C
200 CONTINUE
C
DO 210 I =1,3
IF(NECPT(I+1) .NE. NPVT) GO TO 210
NPIVOT= I
GO TO 220
210 CONTINUE
RETURN
220 CALL GMMATD( C(18*NPIVOT-17),6,3,1, KD(1),6,6,0, TEMP1(1))
C
C TEMP1 NOW CONTAINS T
C ( (C )(E)(T ) ) ( KD)
C J J
C WHERE J IS THE PIVOT POINT
C
C GENERATE THE THREE BY THREE PARTITIONS IN GLOBAL COORDINATES HERE
C
DO 240 I=1,3
CALL GMMATD( TEMP1,3,6,0, C(18*I-17),6,3,0,TEMP2(1) )
C//////
C CALL BUG(4HTRMK,260,TEMP2,18)
C//////
DO 230 J=1,36
230 KIJ(J) = 0.0D0
KIJ( 1) = TEMP2(1)
KIJ( 2) = TEMP2(2)
KIJ( 3) = TEMP2(3)
KIJ( 7) = TEMP2(4)
KIJ( 8) = TEMP2(5)
KIJ( 9) = TEMP2(6)
KIJ(13) = TEMP2(7)
KIJ(14) = TEMP2(8)
KIJ(15) = TEMP2(9)
C
CALL DS1B( KIJ(1), NECPT(I+1) )
C
240 CONTINUE
RETURN
END
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