Cloned SEACAS for EXODUS library with extra build files for internal package management.
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C Copyright(C) 1999-2020 National Technology & Engineering Solutions
C of Sandia, LLC (NTESS). Under the terms of Contract DE-NA0003525 with
C NTESS, the U.S. Government retains certain rights in this software.
C
C See packages/seacas/LICENSE for details
SUBROUTINE CGCAL3(CRD,IX,MAT,MASS,VOL,DENS,VOLM,CG,ZITOT,XXX,
* XG,XI,XINI,AJ,NNODES,NDIM,NQUAD,VOLMN,IELM,NELBLK,NUMNP)
C ... CALCULATE PROPERTIES FOR THREE-DIMENSIONAL MESH --- BRICKS ONLY
DIMENSION CRD(NUMNP,*), IX(NNODES,*), MAT(6,*), MASS(*),
* DENS(*), VOLM(*), CG(*), ZITOT(*),VOLMN(4,*),IELM(4,*),
* XXX(3+1,NQUAD,*),XG(3,*), XI(3,*), XINI(*),
* AJ(3,*)
DIMENSION ZI(6), ZMOM(3)
DIMENSION CCC(3,8)
REAL MASS, MASSE
C ... VOLMN(1,*) = MINIMUM VOLUME (AREAS FOR 2-D)
C VOLMN(2,*) = MAXIMUM VOLUME
C VOLMN(3,*) = TOTAL VOLUME
C VOLMN(4,*) = MAXIMUM SUM OF SQUARES OF INVERSE LENGTHS
DO 10 I=1, NELBLK
VOLMN(1,I) = 1.0E30
VOLMN(2,I) = 0.0
VOLMN(3,I) = 0.0
IELM (3,I) = 0
MASS(I) = 0.0
VOLM(I) = 0.0
10 CONTINUE
DO 20 I=1,3
ZITOT(I) = 0.0
ZITOT(I+3) = 0.0
ZMOM(I) = 0.0
20 CONTINUE
ZMAS = 0.0
VOL = 0.0
C ... GET QUADRATURE POINT LOCATIONS, EVALUATE SHAPE FUNCTIONS
CALL QUAD(XXX, XI, XG, NDIM, NNODES, NQUAD, WT)
DO 80 IBLK = 1, NELBLK
IF (MAT(5,IBLK) .NE. 1) GOTO 80
IELBEG = MAT(3,IBLK)
IELEND = MAT(4,IBLK)
MIEL = IBLK
DO 70 IEL = IELBEG, IELEND
C ... CALCULATE ARA, VOLUME, AND MOMENTS OF INERTIA OF ELEMENT
DO 30 I=1,3
ZI(I) = 0.0
ZI(I+3) = 0.0
CG(I) = 0.0
30 CONTINUE
VOLUME = 0.0
DO 40 I=1,8
CCC(1,I) = CRD(IX(I,IEL),1)
CCC(2,I) = CRD(IX(I,IEL),2)
CCC(3,I) = CRD(IX(I,IEL),3)
40 CONTINUE
DO 60 NG=1,NQUAD
DET = 0.0
XINI(1) = XXX(1,1,NG) * CCC(1,1) +
* XXX(1,2,NG) * CCC(1,2) + XXX(1,3,NG) * CCC(1,3) +
* XXX(1,4,NG) * CCC(1,4) + XXX(1,5,NG) * CCC(1,5) +
* XXX(1,6,NG) * CCC(1,6) + XXX(1,7,NG) * CCC(1,7) +
* XXX(1,8,NG) * CCC(1,8)
XINI(2) = XXX(1,1,NG) * CCC(2,1) +
* XXX(1,2,NG) * CCC(2,2) + XXX(1,3,NG) * CCC(2,3) +
* XXX(1,4,NG) * CCC(2,4) + XXX(1,5,NG) * CCC(2,5) +
* XXX(1,6,NG) * CCC(2,6) + XXX(1,7,NG) * CCC(2,7) +
* XXX(1,8,NG) * CCC(2,8)
XINI(3) = XXX(1,1,NG) * CCC(3,1) +
* XXX(1,2,NG) * CCC(3,2) + XXX(1,3,NG) * CCC(3,3) +
* XXX(1,4,NG) * CCC(3,4) + XXX(1,5,NG) * CCC(3,5) +
* XXX(1,6,NG) * CCC(3,6) + XXX(1,7,NG) * CCC(3,7) +
* XXX(1,8,NG) * CCC(3,8)
AJ(1,1) = XXX(2,1,NG) * CCC(1,1)
* + XXX(2,2,NG) * CCC(1,2) + XXX(2,3,NG) * CCC(1,3)
* + XXX(2,4,NG) * CCC(1,4) + XXX(2,5,NG) * CCC(1,5)
* + XXX(2,6,NG) * CCC(1,6) + XXX(2,7,NG) * CCC(1,7)
* + XXX(2,8,NG) * CCC(1,8)
AJ(2,1) = XXX(3,1,NG) * CCC(1,1)
* + XXX(3,2,NG) * CCC(1,2) + XXX(3,3,NG) * CCC(1,3)
* + XXX(3,4,NG) * CCC(1,4) + XXX(3,5,NG) * CCC(1,5)
* + XXX(3,6,NG) * CCC(1,6) + XXX(3,7,NG) * CCC(1,7)
* + XXX(3,8,NG) * CCC(1,8)
AJ(3,1) = XXX(4,1,NG) * CCC(1,1)
* + XXX(4,2,NG) * CCC(1,2) + XXX(4,3,NG) * CCC(1,3)
* + XXX(4,4,NG) * CCC(1,4) + XXX(4,5,NG) * CCC(1,5)
* + XXX(4,6,NG) * CCC(1,6) + XXX(4,7,NG) * CCC(1,7)
* + XXX(4,8,NG) * CCC(1,8)
AJ(1,2) = XXX(2,1,NG) * CCC(2,1)
* + XXX(2,2,NG) * CCC(2,2) + XXX(2,3,NG) * CCC(2,3)
* + XXX(2,4,NG) * CCC(2,4) + XXX(2,5,NG) * CCC(2,5)
* + XXX(2,6,NG) * CCC(2,6) + XXX(2,7,NG) * CCC(2,7)
* + XXX(2,8,NG) * CCC(2,8)
AJ(2,2) = XXX(3,1,NG) * CCC(2,1)
* + XXX(3,2,NG) * CCC(2,2) + XXX(3,3,NG) * CCC(2,3)
* + XXX(3,4,NG) * CCC(2,4) + XXX(3,5,NG) * CCC(2,5)
* + XXX(3,6,NG) * CCC(2,6) + XXX(3,7,NG) * CCC(2,7)
* + XXX(3,8,NG) * CCC(2,8)
AJ(3,2) = XXX(4,1,NG) * CCC(2,1)
* + XXX(4,2,NG) * CCC(2,2) + XXX(4,3,NG) * CCC(2,3)
* + XXX(4,4,NG) * CCC(2,4) + XXX(4,5,NG) * CCC(2,5)
* + XXX(4,6,NG) * CCC(2,6) + XXX(4,7,NG) * CCC(2,7)
* + XXX(4,8,NG) * CCC(2,8)
AJ(1,3) = XXX(2,1,NG) * CCC(3,1)
* + XXX(2,2,NG) * CCC(3,2) + XXX(2,3,NG) * CCC(3,3)
* + XXX(2,4,NG) * CCC(3,4) + XXX(2,5,NG) * CCC(3,5)
* + XXX(2,6,NG) * CCC(3,6) + XXX(2,7,NG) * CCC(3,7)
* + XXX(2,8,NG) * CCC(3,8)
AJ(2,3) = XXX(3,1,NG) * CCC(3,1)
* + XXX(3,2,NG) * CCC(3,2) + XXX(3,3,NG) * CCC(3,3)
* + XXX(3,4,NG) * CCC(3,4) + XXX(3,5,NG) * CCC(3,5)
* + XXX(3,6,NG) * CCC(3,6) + XXX(3,7,NG) * CCC(3,7)
* + XXX(3,8,NG) * CCC(3,8)
AJ(3,3) = XXX(4,1,NG) * CCC(3,1)
* + XXX(4,2,NG) * CCC(3,2) + XXX(4,3,NG) * CCC(3,3)
* + XXX(4,4,NG) * CCC(3,4) + XXX(4,5,NG) * CCC(3,5)
* + XXX(4,6,NG) * CCC(3,6) + XXX(4,7,NG) * CCC(3,7)
* + XXX(4,8,NG) * CCC(3,8)
DET = AJ(1,1) * (AJ(2,2)*AJ(3,3) - AJ(2,3)*AJ(3,2))
* -AJ(1,2) * (AJ(2,1)*AJ(3,3) - AJ(2,3)*AJ(3,1))
* +AJ(1,3) * (AJ(2,1)*AJ(3,2) - AJ(2,2)*AJ(3,1))
DET = DET * WT
DETW = DET * DENS(MIEL)
CG(1) = CG(1) + DETW * XINI(1)
CG(2) = CG(2) + DETW * XINI(2)
CG(3) = CG(3) + DETW * XINI(3)
ZI(1) = ZI(1) + DETW * XINI(1)**2
ZI(2) = ZI(2) + DETW * XINI(2)**2
ZI(3) = ZI(3) + DETW * XINI(3)**2
ZI(4) = ZI(4) + DETW * XINI(1) * XINI(2)
ZI(5) = ZI(5) + DETW * XINI(1) * XINI(3)
ZI(6) = ZI(6) + DETW * XINI(2) * XINI(3)
VOLUME = VOLUME + DET
60 CONTINUE
C ... DETERMINE MIN/MAX ELEMENT VOLUMES FOR EACH MATERIAL AND
C COUNT NUMBER OF ELEMENTS FOR EACH MATERIAL
IELM(3,MIEL) = IELM(3,MIEL) + 1
VOLMN(3,MIEL) = VOLMN(3,MIEL) + VOLUME
IF (VOLUME .LT. VOLMN(1,MIEL)) THEN
VOLMN(1,MIEL) = VOLUME
IELM(1,MIEL) = IEL
END IF
C ... Changed from else if to if so 1 element and equal size blocks get correct volume
IF (VOLUME .GT. VOLMN(2,MIEL)) THEN
VOLMN(2,MIEL) = VOLUME
IELM(2,MIEL) = IEL
END IF
if (volume .le. 0.0) then
write (*,*) 'Zero or negative volume at element',
& iel
end if
ZITOT(1) = ZITOT(1) + ZI(2) + ZI(3)
ZITOT(2) = ZITOT(2) + ZI(1) + ZI(3)
ZITOT(3) = ZITOT(3) + ZI(1) + ZI(2)
ZITOT(4) = ZITOT(4) + ZI(4)
ZITOT(5) = ZITOT(5) + ZI(5)
ZITOT(6) = ZITOT(6) + ZI(6)
MASSE = VOLUME * DENS(MIEL)
MASS(MIEL)= MASS(MIEL) + MASSE
VOLM(MIEL)= VOLM(MIEL) + VOLUME
VOL = VOL + VOLUME
ZMAS = ZMAS + MASSE
ZMOM(1) = ZMOM(1) + CG(1)
ZMOM(2) = ZMOM(2) + CG(2)
ZMOM(3) = ZMOM(3) + CG(3)
70 CONTINUE
80 CONTINUE
FIX = SIGN(0.5, ZMAS) + SIGN(0.5, -ZMAS)
DO 90 I=1,3
CG(I) = ZMOM(I) / (ZMAS + FIX)
90 CONTINUE
ZITOT(1) = ZITOT(1) - ZMAS * (CG(2)**2 + CG(3)**2)
ZITOT(2) = ZITOT(2) - ZMAS * (CG(1)**2 + CG(3)**2)
ZITOT(3) = ZITOT(3) - ZMAS * (CG(1)**2 + CG(2)**2)
ZITOT(4) = ZITOT(4) - ZMAS * CG(1) * CG(2)
ZITOT(5) = ZITOT(5) - ZMAS * CG(1) * CG(3)
ZITOT(6) = ZITOT(6) - ZMAS * CG(2) * CG(3)
RETURN
END