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179 lines
6.5 KiB
179 lines
6.5 KiB
2 years ago
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C Copyright(C) 1999-2020 National Technology & Engineering Solutions
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C of Sandia, LLC (NTESS). Under the terms of Contract DE-NA0003525 with
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C NTESS, the U.S. Government retains certain rights in this software.
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C
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C See packages/seacas/LICENSE for details
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C=======================================================================
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SUBROUTINE CON2D (CRD, NDIM, NUMNP, IX, NNODES, NUMEL, MAT,
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* NELBLK, SELECT, ASPECT, SKEW, TAPER, AREA,
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* SUMRY, ISUMRY, DEBUG)
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C=======================================================================
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C *** CON2D *** Calculate state of mesh -- Aspect ratio, Skewness,
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C and Taper
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C (Greg Sjaardema, 16 April, 1989)
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C Based on article by John Robinson, "CRE Method of element testing
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C and the Jacobian shape parameters," Eng. Comput., 1987, Vol. 4,
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C June, pp 113 - 118
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C -- ARRAYS:
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C CRD(NUMNP, NDIM) - IN -
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C IX(NNODES, NUMEL) - IN -
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C MAT(5, NELBLK) - IN -
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C SELECT(NUMEL) - IN -
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C ASPECT(NUMEL) - OUT- Aspect ratio (1.0 <= AR <= infinity)
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C SKEW(NUMEL) - OUT- Skewness of mesh, degrees (0 <= skew <= ?)
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C TAPER(NUMEL) - OUT- Taper of mesh, combination of X and Y taper
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C AREA(NUMEL) - OUT- Area of element
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C -- SCALARS:
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C NDIM - Number of spatial dimensions
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C NUMNP - Number of nodal points
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C NNODES - Number of nodes per element
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C NUMEL - Number of elements
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C NELBLK - Number of material/element blocks
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C E2 E4
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C +----------+ +-----------+ +---------+ |
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C | | F3 / / / \
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C | | / A / / \
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C +----------+ +-----------+ +---------------+
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C AR = E2/F3 SKEW = SIN(A) TAPER Y
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C=======================================================================
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REAL CRD(NUMNP, NDIM), ASPECT(*), SKEW(*), TAPER(*), AREA(*)
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INTEGER IX(NNODES, NUMEL), MAT(6, NELBLK), ISUMRY(2,4,NELBLK)
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REAL SUMRY(4,4,NELBLK)
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LOGICAL SELECT(*), DEBUG, ISABRT
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include 'nu_io.blk'
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CALL INIREA (NUMEL, 0.0, ASPECT)
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CALL INIREA (NUMEL, 0.0, SKEW)
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CALL INIREA (NUMEL, 0.0, TAPER)
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CALL INIREA (NUMEL, 0.0, AREA)
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DO 40 IBLK = 1, NELBLK
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IF (MAT(5, IBLK) .EQ. 1) THEN
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IELBEG = MAT(3, IBLK)
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IELEND = MAT(4, IBLK)
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IF (ISABRT()) RETURN
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DO 30 IEL = IELBEG, IELEND
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c .. if doesn't vectorize, remove next line and do select on summary only
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IF (SELECT(IEL)) THEN
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X1 = CRD(IX(1,IEL), 1)
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X2 = CRD(IX(2,IEL), 1)
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X3 = CRD(IX(3,IEL), 1)
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X4 = CRD(IX(4,IEL), 1)
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Y1 = CRD(IX(1,IEL), 2)
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Y2 = CRD(IX(2,IEL), 2)
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Y3 = CRD(IX(3,IEL), 2)
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Y4 = CRD(IX(4,IEL), 2)
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C ... Make centroid of element the center of coordinate system
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XS = (X1 + X2 + X3 + X4) / 4.0
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YS = (Y1 + Y2 + Y3 + Y4) / 4.0
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X1 = X1 - XS
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X2 = X2 - XS
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X3 = X3 - XS
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X4 = X4 - XS
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Y1 = Y1 - YS
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Y2 = Y2 - YS
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Y3 = Y3 - YS
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Y4 = Y4 - YS
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C ... Rotate element such that center of side 2-3 and 4-1 define X axis
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AMAG = SQRT((X2+X3-X4-X1)**2 + (Y2+Y3-Y4-Y1)**2)
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C = (X2 + X3 - X4 - X1) / AMAG
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S = (Y2 + Y3 - Y4 - Y1) / AMAG
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XT = C * X1 + S * Y1
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Y1 = -S * X1 + C * Y1
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X1 = XT
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XT = C * X2 + S * Y2
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Y2 = -S * X2 + C * Y2
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X2 = XT
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XT = C * X3 + S * Y3
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Y3 = -S * X3 + C * Y3
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X3 = XT
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XT = C * X4 + S * Y4
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Y4 = -S * X4 + C * Y4
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X4 = XT
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C ... Calculate ``Shape function'' parameters - E1, F1, F2 = 0.0
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E2 = -X1 + X2 + X3 - X4
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E3 = -X1 - X2 + X3 + X4
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E4 = X1 - X2 + X3 - X4
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F3 = -Y1 - Y2 + Y3 + Y4
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F4 = Y1 - Y2 + Y3 - Y4
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ASPECT(IEL) = MAX (E2 / F3, F3 / E2)
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SKEW(IEL) = ABS(E3/F3) / SQRT((E3/F3)**2 + 1.0)
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TAPER(IEL) = SQRT((F4 / F3)**2 + (E4 / E2)**2)
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AREA(IEL) = E2 * F3 / 4.0
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END IF
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30 CONTINUE
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END IF
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40 CONTINUE
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DO 50 IO=IOMIN, IOMAX
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WRITE (IO, 60)
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50 CONTINUE
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60 FORMAT (/' Shape Parameters for Selected Elements',/
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* /2X,'Mat Minimum Elem Maximum Elem Average ',
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* ' Std. Dev.'/)
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DO 100 ITMP = 1, NELBLK
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IBLK = MAT(6, ITMP)
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IF (MAT(5, IBLK) .EQ. 1) THEN
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IELBEG = MAT(3, IBLK)
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IELEND = MAT(4, IBLK)
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NUMLST = IELEND - IELBEG + 1
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C ... Determine mins, maxs, averages, and std. dev. for selected block/elem
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CALL SUMMRY (' ', NUMLST, SELECT(IELBEG), ASPECT(IELBEG),
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* SUMRY(1,1,IBLK), ISUMRY(1,1,IBLK),IELBEG-1)
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CALL SUMMRY (' ', NUMLST, SELECT(IELBEG), SKEW(IELBEG),
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* SUMRY(1,2,IBLK), ISUMRY(1,2,IBLK),IELBEG-1)
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CALL SUMMRY (' ', NUMLST, SELECT(IELBEG), TAPER(IELBEG),
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* SUMRY(1,3,IBLK), ISUMRY(1,3,IBLK),IELBEG-1)
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CALL SUMMRY (' ', NUMLST, SELECT(IELBEG), AREA(IELBEG),
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* SUMRY(1,4,IBLK), ISUMRY(1,4,IBLK),IELBEG-1)
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DO 70 IO= IOMIN, IOMAX
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WRITE (IO, 80) MAT(1,IBLK),
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* SUMRY(1,1,IBLK), ISUMRY(1,1,IBLK),
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* SUMRY(2,1,IBLK), ISUMRY(2,1,IBLK),
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* SUMRY(3,1,IBLK), SUMRY(4,1,IBLK), 'Aspect',
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* SUMRY(1,2,IBLK), ISUMRY(1,2,IBLK),
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* SUMRY(2,2,IBLK), ISUMRY(2,2,IBLK),
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* SUMRY(3,2,IBLK), SUMRY(4,2,IBLK), 'Skewness',
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* SUMRY(1,3,IBLK), ISUMRY(1,3,IBLK),
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* SUMRY(2,3,IBLK), ISUMRY(2,3,IBLK),
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* SUMRY(3,3,IBLK), SUMRY(4,3,IBLK), 'Taper',
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* SUMRY(1,4,IBLK), ISUMRY(1,4,IBLK),
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* SUMRY(2,4,IBLK), ISUMRY(2,4,IBLK),
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* SUMRY(3,4,IBLK), SUMRY(4,4,IBLK), 'Area'
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WRITE (IO, 90)
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70 CONTINUE
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80 FORMAT (I5,(T8,2(1PE15.8,I6,2X),2(1PE15.8,2X),3X,A8))
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90 FORMAT (' ------------------')
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END IF
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100 CONTINUE
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END
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