v3d4n_mass.f90

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      SUBROUTINE v3d4n_mass( &
           coor, &               ! Mesh Coordinates
           lmcstet, &            ! Connectivity array
           matcstet, &           ! Element Material ID
           rho, &                ! Density 
           xm, &                 ! mass matrix
           numnp, &
           numcstet, &
           numat_vol, &
           nstart, &
           nend,totalmass,numelneigh,elconn,alpha,vhat)

!-----Performs displacement based computations for 2-d, triangular
!-----linear elastic elements with linear interpolation functions.
!-----(constant strain triangles)
!-----The mass matrixes surface tractions and the strain and stress 
!-----calculations are all done here for the CSTs.
      IMPLICIT NONE
      INTEGER :: numnp          ! number of nodes
      INTEGER :: numcstet       ! number of CSTets
      INTEGER :: numat_vol      ! number of materials
!--   densities
      REAL*8, DIMENSION(1:numat_vol) :: rho
!--   reciprical of mass matrix diagonal
      REAL*8, DIMENSION(1:numnp) :: xm
!--   material number for CSTet element
      INTEGER, DIMENSION(1:numcstet) :: matcstet
!--   connectivity table for CSTet elem
      INTEGER, DIMENSION(1:4,1:numcstet) :: lmcstet
!--   global coordinates
      REAL*8, DIMENSION(1:3,1:numnp) :: coor
      integer, DIMENSION(1:numnp) ::numelneigh
      INTEGER, DIMENSION(1:numnp,1:40) :: elconn ! fix 40 should not be hard coded
      REAL*8 :: aa                 ! determinant of jacobian (2*area)
      REAL*8 :: x !,x1,x2,x3         ! dummy variable
      INTEGER :: m                 ! current element's material number
      INTEGER :: n1,n2,n3,n4,n5,n6 ! nodes, and dummy vars
      INTEGER :: n7,n8,n9,n10
      INTEGER :: i,j,nstart,nend     ! loop counter
!--  Coordinate holding variable
      REAL*8 :: x1,x2,x3,x4,y1,y2,y3,y4,z1,z2,z3,z4
!--  Coordinate subtractions
      REAL*8 :: x14, x24, x34, y14, y24, y34, z14, z24, z34
!--  
      REAL*8 :: c11, c21, c31
!--   6*volume and the volume      
      REAL*8 :: vx6,volume
      REAL*8 :: totalmass,volel, aux
      real*8, dimension(1:4,1:numcstet) :: alpha
      integer :: ielnum
      real*8 :: sumx
      REAL*8, DIMENSION(1:numnp) :: vhat


      DO i = 1, numnp
         sumx = 0.d0
         DO j = 1, numelneigh(i)
            ielnum = elconn(i,j)
            m = matcstet(ielnum)

            n1 = lmcstet(1,ielnum)
            n2 = lmcstet(2,ielnum)
            n3 = lmcstet(3,ielnum)
            n4 = lmcstet(4,ielnum) 

            x1 = coor(1,n1)
            x2 = coor(1,n2)
            x3 = coor(1,n3)
            x4 = coor(1,n4)
            y1 = coor(2,n1)
            y2 = coor(2,n2)
            y3 = coor(2,n3)
            y4 = coor(2,n4)
            z1 = coor(3,n1)
            z2 = coor(3,n2)
            z3 = coor(3,n3)
            z4 = coor(3,n4)
         
            x14 = x1 - x4
            x24 = x2 - x4
            x34 = x3 - x4
            y14 = y1 - y4
            y24 = y2 - y4
            y34 = y3 - y4
            z14 = z1 - z4
            z24 = z2 - z4
            z34 = z3 - z4

            c11 =    y24*z34 - z24*y34
            c21 = -( x24*z34 - z24*x34 )
            c31 =    x24*y34 - y24*x34

            vx6 = -( x14*c11 + y14*c21 + z14*c31 )
          
            volel = vx6/6.d0

            IF( volel.LT.0.d0)THEN
               print*,'ERROR'
               print*,'NEG, Volume... STOPPING'
               print*,'  ELEMENT =',i
               print*,'  NODES=',n1,n2,n3,n4
               print*,'  x-Coordinates:',x1,x2,x3,x4
               print*,'  y-Coordinates:',y1,y2,y3,y4
               print*,'  z-Coordinates:',z1,z2,z3,z4
               stop
            ENDIF
          
            IF(n1.EQ.i)THEN
               aux =  alpha(1,ielnum)*volel
               sumx = sumx + aux
!               print*,aux,rho(m)
               xm(n1) = xm(n1) + aux*rho(m)
               totalmass = totalmass + aux*rho(m)
            ELSE IF(n2.EQ.i)THEN
               aux = alpha(2,ielnum)*volel
               sumx = sumx + aux 
!               print*,aux,rho(m)
               xm(n2) = xm(n2) + aux*rho(m)
               totalmass = totalmass + aux*rho(m)
            ELSE IF(n3.EQ.i)THEN
               aux = alpha(3,ielnum)*volel
               sumx = sumx +  aux 
!               print*,aux,rho(m)
               xm(n3) = xm(n3) + aux*rho(m)
               totalmass = totalmass + aux*rho(m)
            ELSE IF(n4.EQ.i)THEN
               aux = alpha(4,ielnum)*volel
               sumx = sumx + aux
!               print*,aux,rho(m)
               xm(n4) = xm(n4) + aux*rho(m) 
               totalmass = totalmass + aux*rho(m)
            ENDIF
         ENDDO 
         vhat(i) = sumx
      ENDDO

! fix need to change if have more then one material, I.e. don't want to figure in the case

      RETURN
      END