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113 lines
3.6 KiB
113 lines
3.6 KiB
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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SUBROUTINE DVOL3D( COORD, DISP, LSTSN, NSEG, DELVOL, NDIM, NUMNP)
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C***********************************************************************
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C DESCRIPTION:
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C This routine computes the change in volume of a cavity formed
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C by the boundary of an element side set flag
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C FORMAL PARAMETERS:
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C COORD REAL Nodal Coordinates
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C DISP REAL Nodal Displacements
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C LSTSN INTEGER List of nodes on this boundary
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C LSTLEN INTEGER Length of node list
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C NSEG INTEGER Number of segments in this boundary
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C DELVOL REAL Change in volume of this cavity
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C NDIM INTEGER Number of Nodes
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C CALLED BY:
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C***********************************************************************
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DIMENSION COORD(NUMNP, *), DISP(NUMNP, *), LSTSN(*)
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DELVOL = 0.0
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DO 100 KSEG = 1 , NSEG
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L = LSTSN(4*KSEG)
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K = LSTSN(4*KSEG - 1)
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J = LSTSN(4*KSEG - 2)
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I = LSTSN(4*KSEG - 3)
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Y1 = COORD(I,2)
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Y2 = COORD(J,2)
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Y3 = COORD(K,2)
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Y4 = COORD(L,2)
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Y5 = COORD(I,2) + DISP(I,2)
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Y6 = COORD(J,2) + DISP(J,2)
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Y7 = COORD(K,2) + DISP(K,2)
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Y8 = COORD(L,2) + DISP(L,2)
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Z1 = COORD(I,3)
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Z2 = COORD(J,3)
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Z3 = COORD(K,3)
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Z4 = COORD(L,3)
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Z5 = COORD(I,3) + DISP(I,3)
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Z6 = COORD(J,3) + DISP(J,3)
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Z7 = COORD(K,3) + DISP(K,3)
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Z8 = COORD(L,3) + DISP(L,3)
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Z24 = Z2 - Z4
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Z52 = Z5 - Z2
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Z45 = Z4 - Z5
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B11 = ( Y2*(Z6-Z3-Z45) + Y3*Z24 + Y4*(Z3-Z8-Z52)
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* + Y5*(Z8-Z6-Z24) + Y6*Z52 + Y8*Z45 ) / 12.
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Z31 = Z3 - Z1
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Z63 = Z6 - Z3
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Z16 = Z1 - Z6
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B21 = ( Y3*(Z7-Z4-Z16) + Y4*Z31 + Y1*(Z4-Z5-Z63)
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* + Y6*(Z5-Z7-Z31) + Y7*Z63 + Y5*Z16 ) / 12.
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Z42 = Z4 - Z2
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Z74 = Z7 - Z4
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Z27 = Z2 - Z7
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B31 = ( Y4*(Z8-Z1-Z27) + Y1*Z42 + Y2*(Z1-Z6-Z74)
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* + Y7*(Z6-Z8-Z42) + Y8*Z74 + Y6*Z27 ) / 12.
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Z13 = Z1 - Z3
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Z81 = Z8 - Z1
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Z38 = Z3 - Z8
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B41 = ( Y1*(Z5-Z2-Z38) + Y2*Z13 + Y3*(Z2-Z7-Z81)
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* + Y8*(Z7-Z5-Z13) + Y5*Z81 + Y7*Z38 ) / 12.
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Z86 = Z8 - Z6
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Z18 = Z1 - Z8
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Z61 = Z6 - Z1
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B51 = ( Y8*(Z4-Z7-Z61) + Y7*Z86 + Y6*(Z7-Z2-Z18)
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* + Y1*(Z2-Z4-Z86) + Y4*Z18 + Y2*Z61 ) / 12.
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Z57 = Z5 - Z7
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Z25 = Z2 - Z5
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Z72 = Z7 - Z2
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B61 = ( Y5*(Z1-Z8-Z72) + Y8*Z57 + Y7*(Z8-Z3-Z25)
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* + Y2*(Z3-Z1-Z57) + Y1*Z25 + Y3*Z72 ) / 12.
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Z68 = Z6 - Z8
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Z36 = Z3 - Z6
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Z83 = Z8 - Z3
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B71 = ( Y6*(Z2-Z5-Z83) + Y5*Z68 + Y8*(Z5-Z4-Z36)
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* + Y3*(Z4-Z2-Z68) + Y2*Z36 + Y4*Z83 ) / 12.
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Z75 = Z7 - Z5
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Z47 = Z4 - Z7
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Z54 = Z5 - Z4
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B81 = ( Y7*(Z3-Z6-Z54) + Y6*Z75 + Y5*(Z6-Z1-Z47)
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* + Y4*(Z1-Z3-Z75) + Y3*Z47 + Y1*Z54 ) / 12.
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C Calculate volume of displaced element face
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VOL= COORD(I,1) * B11
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* + COORD(J,1) * B21
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* + COORD(K,1) * B31
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* + COORD(L,1) * B41
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* + (COORD(I,1) + DISP(I,1)) * B51
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* + (COORD(J,1) + DISP(J,1)) * B61
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* + (COORD(K,1) + DISP(K,1)) * B71
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* + (COORD(L,1) + DISP(L,1)) * B81
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DELVOL = DELVOL + VOL
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100 CONTINUE
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RETURN
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END
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