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SUBROUTINE SDHTFF
C
C THIS ROUTINE CALCULATES THE PHASE 1 FLUX-TEMPERATURE RELATIONSHIPS
C
INTEGER SUB,NELS(18),IP(32),SMAP(52),STRSPT,SIG
REAL C(12),K,KQ(9),DR(3,4),MATO,EL,ZI(3),VEC(3),VVEC(3)
COMMON /CONDAS/ CONSTS(5)
COMMON /SDR2X4/ DUMX(109),STRSPT
COMMON /SDR2X5/ EST(100),IDE,SIG(32),NQ,NSIL,NAME(2),K(9),CE(96),
1 DSHPB(3,32)
COMMON /SDR2X6/ SUB,IMAT,AF,THETA,R(3,32)
COMMON /HMTOUT/ MATO(6)
EQUIVALENCE (CONSTS(1),PI)
DATA NELS / 1,1,4,1,4,1,3,5,10,1,1,1,1,4,1,1,1,1 /
DATA SMAP / 1 ,2 ,3 ,6 ,
1 1 ,2 ,6 ,5 ,
2 1 ,4 ,5 ,6 ,
3 1 ,2 ,3 ,6 ,
4 1 ,3 ,4 ,8 ,
5 1 ,3 ,8 ,6 ,
6 1 ,5 ,6 ,8 ,
7 3 ,6 ,7 ,8 ,
8 2 ,3 ,4 ,7 ,
9 1 ,2 ,4 ,5 ,
O 2 ,4 ,5 ,7 ,
1 2 ,5 ,6 ,7 ,
2 4 ,5 ,7 ,8 /
C
GO TO (30,40,40,40,40,50,50,50,50,30,30,30,30,30,30,50,50,30), SUB
30 K(1) = MATO(1)
NQ = 1
GO TO 60
40 K(1) = MATO(1)
K(2) = MATO(2)
K(3) = K(2)
K(4) = MATO(3)
NQ = 2
GO TO 60
50 K(1) = MATO(1)
K(2) = MATO(2)
K(3) = MATO(3)
K(4) = K(2)
K(5) = MATO(4)
K(6) = MATO(5)
K(7) = K(3)
K(8) = K(6)
K(9) = MATO(6)
NQ = 3
60 CONTINUE
IP(1)= 1
IP(2)= 2
IP(3)= 3
IF (SUB .EQ. 17) GO TO 111
IF (SUB.NE.3 .AND. SUB.NE.5) GO TO 100
C
C MOVE QUADS TO ELEMENT COORDINATES
C (CQUAD4? APPEARENTLY UP TO ELEMENT TYPE 52 ONLY)
C
DO 70 I = 1,3
DR(I,1) = R(I,2) - R(I,1)
DR(I,3) = R(I,3) - R(I,1)
70 DR(I,2) = R(I,4) - R(I,2)
CALL SAXB (DR(1,3),DR(1,2),DR(1,4))
C
EL = SQRT(DR(1,1)**2 + DR(2,1)**2 + DR(3,1)**2)
AREA = SQRT(DR(1,4)**2 + DR(2,4)**2 + DR(3,4)**2)
C
DO 80 I = 1,3
DR(I,1) = DR(I,1)/EL
80 DR(I,4) = DR(I,4)/AREA
C
CALL SAXB (DR(1,4),DR(1,1),DR(1,2))
DO 90 I = 1,3
90 DR(I,4) = R(I,4) - R(I,1)
CALL GMMATS (DR(1,1),2,3,0,DR(1,3),2,3,1,KQ)
DR(1,3) = KQ(1)
DR(1,4) = KQ(2)
DR(2,3) = KQ(3)
DR(2,4) = KQ(4)
DR(1,2) = EL
DR(1,1) = 0.0
DR(2,1) = 0.0
DR(2,2) = 0.0
GO TO 120
100 IF (SUB.NE.2 .AND. SUB.NE.4) GO TO 120
C
C MOVE TRIANGLES TO ELEMENT COORDINATES
C (CTRIA3?)
C
DO 110 I = 1,3
DR(I,1) = R(I,2) - R(I,1)
110 DR(I,2) = R(I,3) - R(I,1)
C
EL = DR(1,1)**2 + DR(2,1)**2 + DR(3,1)**2
EL = SQRT(EL)
AREA = SADOTB(DR(1,1),DR(1,2))/EL
CALL SAXB (DR(1,1),DR(1,2),DR(1,3))
DR(2,3) = SQRT(DR(1,3)**2 + DR(2,3)**2 + DR(3,3)**2)/EL
DR(1,3) = AREA
DR(1,1) = 0.0
DR(1,2) = EL
DR(2,1) = 0.0
DR(2,2) = 0.0
GO TO 120
C
C IS2D8-CENTROID ONLY-WE NEED TO CONVERT ONLY GRIDS 5-8 TO LOCAL
C COORDS
C
111 DO 112 I = 1,3
112 ZI(I) = R(I,2) - R(I,1)
ZLEN = SQRT(ZI(1)**2 + ZI(2)**2 + ZI(3)**2)
DO 113 I = 1,3
113 ZI(I) = ZI(I)/ZLEN
DO 115 I = 5,8
DO 114 J = 1,3
114 VEC(J) = R(J,I) - R(J,1)
DR(1,I-4) = SADOTB(VEC,ZI)
CALL SAXB (ZI,VEC,VVEC)
DR(2,I-4) = SQRT(VVEC(1)**2 + VVEC(2)**2 + VVEC(3)**2)
115 CONTINUE
120 CONTINUE
C
C LOOP ON SUBELEMENTS (ONE FOR MOST)
C
FACT = 0.0
NEL = NELS(SUB)
XELS = FLOAT(NEL)
DO 460 IEL = 1,NEL
C
GO TO (130,160,160,140,140,200,220,240,240,330,330,330,
1 330,330,330,285,291,330), SUB
C
C RODS,BARS, ETC.
C
130 EL = 0.0
DO 135 I = 1, 3
EL = EL + (R(I,1)-R(I,2))**2
135 CONTINUE
EL = SQRT(EL)
C(1) = -1.0/EL
C(2) = 1.0/EL
NP = 2
GO TO 300
C
C RING ELEMENTS, TRIANGLES AND QUADRILATERALS
C
140 AF = 1.0
160 DO 170 I = 1,3
IG = I + IEL - 1
IF (IG .GT. 4) IG = IG - 4
170 IP(I) = IG
I1 = IP(1)
I2 = IP(2)
I3 = IP(3)
AREA = DR(1,I1)*(DR(2,I2)-DR(2,I3)) + DR(1,I2)*(DR(2,I3)-DR(2,I1))
2 + DR(1,I3)*(DR(2,I1)-DR(2,I2))
C(1) = (DR(2,I2) - DR(2,I3))/AREA
C(2) = (DR(2,I3) - DR(2,I1))/AREA
C(3) = (DR(2,I1) - DR(2,I2))/AREA
C(4) = (DR(1,I3) - DR(1,I2))/AREA
C(5) = (DR(1,I1) - DR(1,I3))/AREA
C(6) = (DR(1,I2) - DR(1,I1))/AREA
C
NP = 3
GO TO 300
C
C SOLID ELEMENTS
C
200 DO 210 I = 1,4
210 IP(I) = I
GO TO 260
C
C WEDGE
C
220 LROW = 4*IEL - 4
DO 230 I = 1,4
I1 = LROW + I
230 IP(I) = SMAP(I1)
GO TO 260
C
C HEXA1 AND HEXA2 ELEMENTS
C
240 LROW = 4*IEL + 8
DO 250 I = 1,4
I1 = LROW + I
250 IP(I) = SMAP(I1)
260 I1 = IP(1)
DO 270 I = 1,3
IG = IP(I+1)
DO 270 J = 1,3
DR(J,I) = R(J,IG) - R(J,I1)
270 CONTINUE
C
C NO NEED TO COMPUTE DETERMINANT SINCE IT IS NOT USED SUBSEQUENTLY.
C
ISING = -1
CALL INVERS (3,DR,3,C,0,DETERM,ISING,C(4))
DO 280 I = 1,3
IG = 4*I - 4
C(IG+1) = 0.0
DO 280 J = 2,4
I1 = IG + J
C(I1 ) = DR(J-1,I)
C(IG+1) = C(IG+1) - C(I1)
280 CONTINUE
NP = 4
GO TO 300
C
C ISOPARAMETRIC SOLIDS
C
285 IG = 0
DO 290 I = 1,3
DO 290 J = 1,NSIL
IG = IG + 1
290 CE(IG) = DSHPB(I,J)
GO TO 460
C
C IS2D8- SINCE CENTROID ONLY, WE CAN EASILY COMPUTE SHAPE FUNCTIONS
C DERIVATIVES, JACOBIAN,ETC.. THE FINAL RESULT OF DNDX,DNDY=DNL IS
C GIVEN
C
291 X68 = DR(1,2) - DR(1,4)
X57 = DR(1,1) - DR(1,3)
Y68 = DR(2,2) - DR(2,4)
Y57 = DR(2,1) - DR(2,3)
DENOM = -X68*Y57 + X57*Y68
DO 292 I = 1,24
292 CE(I) = 0.
CE( 5) = Y68/DENOM
CE( 6) =-Y57/DENOM
CE( 7) =-Y68/DENOM
CE( 8) = Y57/DENOM
CE(13) =-X68/DENOM
CE(14) = X57/DENOM
CE(15) = X68/DENOM
CE(16) =-X57/DENOM
GO TO 460
C
C SUPERIMPOSE C MATRICES ONTO CE MATRICES OF THE WHOLE ELEMENT
C
300 DO 310 I = 1,NP
DO 310 J = 1,NQ
I1 = NP*(J-1) + I
IG = NSIL*(J-1) + IP(I)
CE(IG) = CE(IG) + C(I1)/XELS
310 CONTINUE
GO TO 460
C
C BOUNDARY HEAT CONVECTION ELEMENTS
C
330 ITYPE = SUB - 9
IF (ITYPE .GT. 7) RETURN
GO TO (340,350,370,380,380,350,350), ITYPE
340 NP = 1
C(1) = 1.0
FACT = AF*K(1)
GO TO 410
350 NP = 2
C(1) = 0.5
C(2) = 0.5
EL = SQRT((R(1,1)-R(1,2))**2 + (R(2,1)-R(2,2))**2 +
1 (R(3,1)-R(3,2))**2)
FACT = AF*EL*K(1)
GO TO 410
C
C RING SURFACE
C
370 EL = ((R(1,2)-R(1,1))**2 + (R(3,2)-R(3,1))**2)
FACT = 3.0*(R(1,1) + R(1,2))
C(1) = (2.0*R(1,1) + R(1,2))/FACT
C(2) = (R(1,1) + 2.0*R(1,2))/FACT
FACT = (R(1,1) + R(1,2))*PI*SQRT(EL)*K(1)
NP = 2
GO TO 410
C
C TRIANGLES (ALSO FOR SUBELEMENT OF QUAD)
C
380 DO 390 I = 1,3
IG = I + IEL - 1
IF (IG .GT. 4) IG = IG - 4
IP(I) = IG
390 CONTINUE
I1 = IP(1)
I2 = IP(2)
I3 = IP(3)
DO 400 I = 1,3
DR(I,1) = R(I,I2) - R(I,I1)
400 DR(I,2) = R(I,I3) - R(I,I1)
CALL SAXB (DR(1,1),DR(1,2),DR(1,3))
AREA = (SQRT(DR(1,3)**2 + DR(2,3)**2 +DR(3,3)**2))/2.0
IF (ITYPE .EQ. 5) AREA = AREA/2.0
FACT = FACT + AREA*MATO(1)
C(1) = 1.0/3.0
C(2) = C(1)
C(3) = C(1)
NP = 3
C
C SUPERIMPOSE C MATRIX INTO CE MATRIX
C
410 DO 420 I = 1,NP
IG = IP(I)
CE(IG) = CE(IG) + C(I)/XELS
IG = IP(I) + 4
420 CE(IG) = CE(IG) - C(I)/XELS
K(1) = FACT
460 CONTINUE
RETURN
END
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