PROGRAM SET8STAX3DTORSION
C=======================================================================
C THREE DIMENSIONAL DATA GENERATING PROGRAM FOR 3DSTATIC8QFXCOMBINE.FOR
C-------------------- TORSION PROBLEM APPLICATION ----------------------
C
C    BOUNDARY CONDITIONS
C            LEFT END: FIXED IN ALL DIRECTIONS
C            RIGHT END: TWIST MOMENT IS APPLIED USING FORCES AT 4 POINTS
C            ALL OTHERS: NO NORMAL FOECE, NO SHEAR FORCE
C    DOMAIN: RECTANGULAR
C    ELEMENT TYPE: 8-NODED ISOPARAMETRIC HEXA 3D ELEMENT
C    DOMAIN DISCRETIZATION: ALL ELEMENTS ARE THE SAME SIZE.
C     EIJI FUKUMORI JUNE 18, 2010, 09/NOV/2024
C=======================================================================
      IMPLICIT REAL*8 ( A-H , O-Z )
      PARAMETER ( ND=8,INTEPT=2,MXE=220000, MXN=400000, MXB=20000 )
      PARAMETER (YOUNG=69.D6,POISSON=0.3D0 )
C=======================================================================
      DIMENSION NODEX(MXE,ND), 
     * XCOORD(MXN), YCOORD(MXN) ,ZCOORD(MXN),
     * IBNDFX(MXB), IBNDFY(MXB) ,IBNDFZ(MXB),
     * BVX(MXB)   , BVY(MXB)    ,BVZ(MXB)   ,
     * IBFORCEX(MXB), IBFORCEY(MXB), IBFORCEZ(MXB), 
     * BVFORCEX(MXB), BVFORCEY(MXB), BVFORCEZ(MXB)
      DIMENSION NEUTRAL(MXN), NODECTOP(MXN)
      CHARACTER INPFILE*14,EXFILE*3
      LOGICAL YES
C=======================================================================
      DATA INPFILE / 'STATIC3D08.DAT' /
C=======================================================================
      F(X) = X 
      G(X) = X
C=======================================================================
      TLX = 20.D0
      TLY = 2.D0
      TLZ = 2.D0
      NEX = 20
      NEY = 4
      NEZ = 4
C=======================================================================
C------ NEY AND NEZ MUST BE AN EVEN NUMBER.
      NEY = NEY/2*2
      NEZ = NEZ/2*2
C=======================================================================
      DX  = TLX/NEX
      DY  = TLY/NEY
      DZ  = TLZ/NEZ
      NDX = NEX+1
      NDY = NEY+1
      NDZ = NEZ+1
C=======================================================================
C      NEZ: NEMBER OF VERTICAL   ELEMENTS (NUMBER OF NODES: NEZ+1)
C      NEY: NEMBER OF DEPTH      ELEMENTS (NUMBER OF NODES: NEY+1)
C      NEX: NEMBER OF HORIZONTAL ELEMENTS (NUMBER OF NODES: NEX+1)
C=======================================================================
      WRITE (*,*)' YOUNG MODULUS = ',YOUNG
      WRITE (*,*)' POISSON RATIO = ',POISSON
C=======================================================================
C                    ELEMENT CREATION
      NE = 0
      DO I = 1 , NEX
      DO K = 1 , NEZ
      DO J = 1 , NEY
      NE = NE + 1
      IF ( NE .GT. MXE ) STOP 'NE > MXE'
      NODEX(NE,1) = (I-1)*NDY*NDZ + (K-1)*NDY + J
      NODEX(NE,2) = NODEX(NE,1) + NDY*NDZ
      NODEX(NE,3) = NODEX(NE,2) + 1
      NODEX(NE,4) = NODEX(NE,1) + 1
      NODEX(NE,5) = NODEX(NE,1) + NDY
      NODEX(NE,6) = NODEX(NE,5) + NDY*NDZ
      NODEX(NE,7) = NODEX(NE,6) + 1
      NODEX(NE,8) = NODEX(NE,5) + 1
      END DO
      END DO
      END DO
      WRITE (*,*) 'NUMBER OF ELEMENTS =', NE
C=======================================================================
C                 NODAL COORDINATE CREATION
      NNODE = 0
      DO I = 1 , NDX
      DO K = 1 , NDZ
      DO J = 1 , NDY
      NNODE = NNODE + 1
      IF ( NNODE .GT. MXN ) STOP 'NNODE > MXN'
      XCOORD(NNODE) = (I-1)*DX
      YCOORD(NNODE) = (J-1)*DY
      ZCOORD(NNODE) = (K-1)*DZ
      END DO
      END DO
      END DO
      WRITE (*,*) 'NUMBER OF NODAL POINTS =', NNODE
C=======================================================================
C                          BOUNDARY CONDITIONS
C============================ FIRST KIND ===============================
C-------------- CONSTRAINS ARE ON THE FACE OF -X ONLY
      NBFX = 0
      NBFY = 0
      NBFZ = 0
C-----------------------------------------------
C--------- X DIRECTION ON FACE -X
      U0 = 0.D0
      DO K = 1 , NDZ
      DO J = 1 , NDY
      NBFX = NBFX + 1
      IBNDFX(NBFX) = J + (K-1)*NDY
      BVX(NBFX) = U0
      END DO
      END DO
C-----------------------------------------------
C--------- Y DIRECTION ON FACE -X
      V0 = 0.D0
      DO K = 1 , NDZ
      DO J = 1 , NDY
      NBFY = NBFY + 1
      IBNDFY(NBFY) = J + (K-1)*NDY
      BVY(NBFY) = V0
      END DO
      END DO
C-----------------------------------------------
C--------- Z DIRECTION ON FACE -X
      Z0 = 0.D0
      DO K = 1 , NDZ
      DO J = 1 , NDY
      NBFZ = NBFZ + 1
      IBNDFZ(NBFZ) = J + (K-1)*NDY
      BVZ(NBFZ) = Z0
      END DO
      END DO
C=======================================================================
C============================ SECOND KIND ==============================
      NFORCEX = 0
      NFORCEY = 0
      NFORCEZ = 0
C----------------- FORCES ARE ON THE FACE OF +X ONLY -------------------
      FORCEINZ =  1000.D0
      FORCEINY =  1000.D0
C
C--------- RIGHT END FACE
C
C        <---F
C        ----3---- A
C        I       I I
C        I       I I
C      F 2       4 F
C      I I       I 
C      I I       I 
C      V ----1---- 
C            F--->
C
C
C----------- POINT 1 ---------
      NFORCEY = NFORCEY + 1
      IBFORCEY(NFORCEY) = NDY*NDZ*NEX + NEY/2 + 1
      BVFORCEY(NFORCEY) = FORCEINY
C----------- POINT 3 ---------
      NFORCEY = NFORCEY + 1
      IBFORCEY(NFORCEY) = NDY*NDZ*NEX + NEZ*NDY + NEY/2 + 1
      BVFORCEY(NFORCEY) = -FORCEINY
C----------- POINT 2 ---------
      NFORCEZ = NFORCEZ + 1
      IBFORCEZ(NFORCEZ) = NDY*NDZ*NEX + NEZ/2*NDY + 1
      BVFORCEZ(NFORCEZ) = -FORCEINZ
C----------- POINT 4 ---------
      NFORCEZ = NFORCEZ + 1
      IBFORCEZ(NFORCEZ) = NDY*NDZ*NEX + NEZ/2*NDY + NDY
      BVFORCEZ(NFORCEZ) = FORCEINZ
C=======================================================================
C                      DATA FILE INQUIRY
      EXFILE = 'NEW'
      INQUIRE ( FILE = INPFILE, EXIST = YES )
      IF ( YES ) EXFILE='OLD'
C=======================================================================
C                     CREATING DATA FILES
C---------- PARAMETERS
      OPEN ( 1, FILE=INPFILE, STATUS = 'UNKNOWN' )
      WRITE(1,*) YOUNG , POISSON
C---------- ELEMENTS
      WRITE(1,*) NE
      DO I = 1 , NE
      WRITE (1,*) I, (NODEX(I,J), J = 1 , ND )
      END DO
C---------- COORDINATES OF NONAL POINTS
      WRITE(1,*) NNODE
      DO I = 1 , NNODE
      WRITE(1,*) I,XCOORD(I), YCOORD(I), ZCOORD(I)
      END DO
C--------- BOUNDARY CONDITIONS
C---------- DIRICHLET TYPE BOUNDARY CONDITIONS
      WRITE(1,*) NBFX
      DO I = 1 , NBFX 
      WRITE (1,*) IBNDFX(I), BVX(I)
      END DO
      WRITE(1,*) NBFY
      DO  I = 1 , NBFY 
      WRITE (1,*) IBNDFY(I), BVY(I)
      END DO
      WRITE(1,*) NBFZ
      DO  I = 1 , NBFZ 
      WRITE (1,*) IBNDFZ(I), BVZ(I)
      END DO
C---------- NUEMANN TYPE BOUNDARY CONDITIONS
      WRITE(1,*) NFORCEX
      IF ( NFORCEX .GT. 0 ) THEN
      DO I = 1 , NFORCEX
      WRITE(1,*) IBFORCEX(I), BVFORCEX(I)
      END DO
      ENDIF
      WRITE(1,*) NFORCEY
      IF ( NFORCEY .GT. 0 ) THEN
      DO I = 1 , NFORCEY
      WRITE(1,*) IBFORCEY(I), BVFORCEY(I)
      END DO
      ENDIF
      WRITE(1,*) NFORCEZ
      IF ( NFORCEZ .GT. 0 ) THEN
      DO I = 1 , NFORCEZ
      WRITE(1,*) IBFORCEZ(I), BVFORCEZ(I)
      END DO
      ENDIF
C---------- FINAL
      CLOSE (1)
C----------------- NODES ALONG THE NUTRAL LINE -------------------------
C---------------------- CENTER OF THE ROD --------------------------
C NODEL NUMBERS ALONG NEUTRAL LINE OF BEAM
      NNEUT = 1
      NEUTRAL(NNEUT) = NEZ/2*NDY + NEY/2 + 1
      DO I = 1 , NEX
      NNEUT = NNEUT + 1
      NEUTRAL(NNEUT) = NEUTRAL(NNEUT-1) + NDY*NDZ
      END DO
      OPEN ( 1, FILE='NEUTRAL.DAT', STATUS = 'UNKNOWN')
      WRITE (1,*) NNEUT
      DO I = 1 , NNEUT
      WRITE (1,*) NEUTRAL(I)
      END DO
      CLOSE (1)
C------------- NODES ALONG THE CENTER OF THE TOP FACE(+Z) --------------
      NCTOP = 1
      NODECTOP(NCTOP) = NDY*NDZ - NEY/2
      DO I = 1 , NEX
      NCTOP = NCTOP + 1
      NODECTOP(NCTOP) = NODECTOP(NCTOP-1) + NDY*NDZ
      END DO
      OPEN ( 1, FILE='NODECTOP.DAT', STATUS = 'UNKNOWN')
      WRITE (1,*) NCTOP
      DO I = 1 , NCTOP
      WRITE (1,*) NODECTOP(I)
      END DO
      CLOSE (1)
C=======================================================================
      CALL BANDWID ( ND, MXE, NE, NODEX , NBW  )
C------ CREATION OF PARAMETER FILE TO BE USED IN INCLUDE STATEMENT
      OPEN ( 1, FILE='PARAM.DAT', STATUS='UNKNOWN' )
      WRITE (1,*) '      PARAMETER ( ND=',ND,'    )'
      WRITE (1,*) '      PARAMETER ( INTEPT=',INTEPT,')'
      WRITE (1,*) '      PARAMETER ( MXE=',NE,')'
      WRITE (1,*) '      PARAMETER ( MXN=',NNODE,')'
      WRITE (1,*) '      PARAMETER ( MXW=',NBW,')'
      WRITE (1,*) '      PARAMETER ( MXB=',NBFX+NBFY+NBFZ,'   )'
      CLOSE (1)
C=======================================================================
      OPEN ( 1, FILE='ELEMENT3D08ND.DAT', STATUS='UNKNOWN' )
C
      DO IEL = 1 , NEY*NEZ
C
      DO J = 1 , 4
      K = J + 1
      IF ( J .EQ. 4 ) K = 1
      WRITE(1,*) YCOORD(NODEX(IEL,J)), ZCOORD(NODEX(IEL,J))
      WRITE(1,*) YCOORD(NODEX(IEL,K)), ZCOORD(NODEX(IEL,K))
      WRITE(1,*)
      END DO
C
      DO J = 5 , 8
      K = J + 1
      IF ( J .EQ. 8 ) K = 5
      WRITE(1,*) YCOORD(NODEX(IEL,J)), ZCOORD(NODEX(IEL,J))
      WRITE(1,*) YCOORD(NODEX(IEL,K)), ZCOORD(NODEX(IEL,K))
      WRITE(1,*)
      END DO
C
      DO J = 1 , 4
      K = J + 4
      WRITE(1,*) YCOORD(NODEX(IEL,J)), ZCOORD(NODEX(IEL,J))
      WRITE(1,*) YCOORD(NODEX(IEL,K)), ZCOORD(NODEX(IEL,K))
      WRITE(1,*)
      END DO
C
      END DO
      CLOSE (1)
C=======================================================================
      OPEN ( 1, FILE='FORCES3D08ND.DAT', STATUS='UNKNOWN' )
      WRITE (1,*) 'FORCE-DIRECTION YCOORD ZCOORD FORCE-STRENGTH'
      DO I = 1 , NFORCEY
      NODE = IBFORCEY(I)
      WRITE (1,*) 'FORCE-Y', YCOORD(NODE), ZCOORD(NODE), BVFORCEY(I)
      WRITE (1,*) 'FORCE-Y', YCOORD(NODE), ZCOORD(NODE), BVFORCEY(I)
      WRITE (1,*)
      END DO
      DO I = 1 , NFORCEZ
      NODE = IBFORCEZ(I)
      WRITE (1,*) 'FORCE-Z', YCOORD(NODE), ZCOORD(NODE), BVFORCEY(I)
      WRITE (1,*) 'FORCE-Z', YCOORD(NODE), ZCOORD(NODE), BVFORCEY(I)
      WRITE (1,*)
      END DO
      CLOSE (1)
      STOP 'NORMAL TERMINATION'
      END
C
C
      SUBROUTINE BANDWID ( ND, MXE, NE, NODEX , NBW  )
      IMPLICIT REAL*8 ( A-H , O-Z )
      DIMENSION NODEX(MXE,ND)
      NBW = 0
      DO  I = 1 , NE
      DO  J = 1 , ND-1
      DO  K = J+1 , ND
      NBW = MAX0(NBW,IABS(NODEX(I,J)-NODEX(I,K)))
      END DO
      END DO
      END DO
      NBW = NBW + 1
      WRITE(*,*) 'HALF BANDWIDTH + 1 =', NBW
      RETURN
      END