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@ -125,10 +125,6 @@ subroutine mesh_init(ip,el)
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integer, dimension(:), allocatable :: &
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marc_matNumber !< array of material numbers for hypoelastic material (Marc only)
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logical :: myDebug
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real(pReal), dimension(:,:,:), allocatable:: &
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mesh_ipArea !< area of interface to neighboring IP (initially!)
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real(pReal),dimension(:,:,:,:), allocatable :: &
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mesh_ipAreaNormal !< area normal of interface to neighboring IP (initially!)
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real(pReal), dimension(:,:), allocatable :: &
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ip_reshaped
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@ -195,9 +191,6 @@ subroutine mesh_init(ip,el)
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call mesh_build_ipCoordinates
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if (myDebug) write(6,'(a)') ' Built IP coordinates'; flush(6)
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allocate(mesh_ipArea(theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems))
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allocate(mesh_ipAreaNormal(3,theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems))
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call mesh_build_ipAreas(mesh_ipArea,mesh_ipAreaNormal)
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if (myDebug) write(6,'(a)') ' Built IP areas'; flush(6)
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call IP_neighborhood2
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@ -230,10 +223,7 @@ subroutine mesh_init(ip,el)
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'nodal coordinates','m')
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call results_closeJobFile()
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#endif
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call geometry_plastic_nonlocal_setIPvolume(IPvolume())
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call geometry_plastic_nonlocal_setIPneighborhood(mesh_ipNeighborhood2)
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call geometry_plastic_nonlocal_setIParea(mesh_ipArea)
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call geometry_plastic_nonlocal_setIPareaNormal(mesh_ipAreaNormal)
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end subroutine mesh_init
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@ -1018,68 +1008,6 @@ function mesh_build_cellnodes()
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end function mesh_build_cellnodes
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!---------------------------------------------------------------------------------------------------
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!> @brief Calculates IP volume.
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!> @details The IP volume is calculated differently depending on the cell type.
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!> 2D cells assume an element depth of one in order to calculate the volume.
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!> For the hexahedral cell we subdivide the cell into subvolumes of pyramidal
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!> shape with a cell face as basis and the central ip at the tip. This subvolume is
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!> calculated as an average of four tetrahedals with three corners on the cell face
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!> and one corner at the central ip.
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!---------------------------------------------------------------------------------------------------
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function IPvolume()
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real(pReal), dimension(theMesh%elem%nIPs,theMesh%nElems) :: IPvolume
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integer :: e,i,c,m,f,n
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real(pReal), dimension(size(theMesh%elem%cellFace,1),size(theMesh%elem%cellFace,2)) :: subvolume
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c = theMesh%elem%cellType
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m = size(theMesh%elem%cellFace,1)
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do e = 1,theMesh%nElems
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select case (c)
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case (1) ! 2D 3node
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forall (i = 1:theMesh%elem%nIPs) & ! loop over ips=cells in this element
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IPvolume(i,e) = math_areaTriangle(theMesh%node_0(1:3,mesh_cell2(1,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(2,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(3,i,e)))
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case (2) ! 2D 4node
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forall (i = 1:theMesh%elem%nIPs) & ! loop over ips=cells in this element
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IPvolume(i,e) = math_areaTriangle(theMesh%node_0(1:3,mesh_cell2(1,i,e)), & ! here we assume a planar shape, so division in two triangles suffices
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theMesh%node_0(1:3,mesh_cell2(2,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(3,i,e))) &
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+ math_areaTriangle(theMesh%node_0(1:3,mesh_cell2(3,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(4,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(1,i,e)))
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case (3) ! 3D 4node
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forall (i = 1:theMesh%elem%nIPs) & ! loop over ips=cells in this element
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IPvolume(i,e) = math_volTetrahedron(theMesh%node_0(1:3,mesh_cell2(1,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(2,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(3,i,e)), &
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theMesh%node_0(1:3,mesh_cell2(4,i,e)))
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case (4) ! 3D 8node
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do i = 1,theMesh%elem%nIPs ! loop over ips=cells in this element
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subvolume = 0.0_pReal
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forall(f = 1:FE_NipNeighbors(c), n = 1:m) &
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subvolume(n,f) = math_volTetrahedron(&
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mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface( n ,f),i,e)), &
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mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface(1+mod(n ,m),f),i,e)), &
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mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface(1+mod(n+1,m),f),i,e)), &
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mesh_ipCoordinates(1:3,i,e))
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IPvolume(i,e) = 0.5_pReal * sum(subvolume) ! each subvolume is based on four tetrahedrons, altough the face consists of only two triangles -> averaging factor two
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enddo
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end select
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enddo
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end function IPvolume
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!---------------------------------------------------------------------------------------------------
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!> @brief cell neighborhood
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!---------------------------------------------------------------------------------------------------
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@ -1185,74 +1113,6 @@ subroutine mesh_build_ipCoordinates
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end subroutine mesh_build_ipCoordinates
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!--------------------------------------------------------------------------------------------------
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!> @brief calculation of IP interface areas, allocate globals '_ipArea', and '_ipAreaNormal'
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!--------------------------------------------------------------------------------------------------
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subroutine mesh_build_ipAreas(ipArea,ipAreaNormal)
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integer :: e,c,i,f,n,m
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real(pReal), dimension(theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems), intent(out) :: ipArea
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real(pReal), dimension(3,theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems), intent(out) :: ipAreaNormal
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real(pReal), dimension (3,size(theMesh%elem%cellFace,2)) :: nodePos, normals
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real(pReal), dimension(3) :: normal
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c = theMesh%elem%cellType
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do e = 1,theMesh%nElems ! loop over cpElems
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select case (c)
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case (1,2) ! 2D 3 or 4 node
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do i = 1,theMesh%elem%nIPs
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do f = 1,FE_NipNeighbors(c) ! loop over cell faces
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forall(n = 1: size(theMesh%elem%cellface,1)) &
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nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface(n,f),i,e))
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normal(1) = nodePos(2,2) - nodePos(2,1) ! x_normal = y_connectingVector
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normal(2) = -(nodePos(1,2) - nodePos(1,1)) ! y_normal = -x_connectingVector
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normal(3) = 0.0_pReal
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ipArea(f,i,e) = norm2(normal)
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ipAreaNormal(1:3,f,i,e) = normal / norm2(normal) ! ensure unit length of area normal
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enddo
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enddo
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case (3) ! 3D 4node
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do i = 1,theMesh%elem%nIPs
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do f = 1,FE_NipNeighbors(c) ! loop over cell faces
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forall(n = 1: size(theMesh%elem%cellface,1)) &
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nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface(n,f),i,e))
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normal = math_cross(nodePos(1:3,2) - nodePos(1:3,1), &
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nodePos(1:3,3) - nodePos(1:3,1))
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ipArea(f,i,e) = norm2(normal)
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ipAreaNormal(1:3,f,i,e) = normal / norm2(normal) ! ensure unit length of area normal
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enddo
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enddo
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case (4) ! 3D 8node
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! for this cell type we get the normal of the quadrilateral face as an average of
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! four normals of triangular subfaces; since the face consists only of two triangles,
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! the sum has to be divided by two; this whole prcedure tries to compensate for
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! probable non-planar cell surfaces
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m = size(theMesh%elem%cellFace,1)
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do i = 1,theMesh%elem%nIPs
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do f = 1,FE_NipNeighbors(c) ! loop over cell faces
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forall(n = 1: size(theMesh%elem%cellface,1)) &
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nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(theMesh%elem%cellface(n,f),i,e))
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forall(n = 1: size(theMesh%elem%cellface,1)) &
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normals(1:3,n) = 0.5_pReal &
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* math_cross(nodePos(1:3,1+mod(n ,m)) - nodePos(1:3,n), &
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nodePos(1:3,1+mod(n+1,m)) - nodePos(1:3,n))
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normal = 0.5_pReal * sum(normals,2)
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ipArea(f,i,e) = norm2(normal)
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ipAreaNormal(1:3,f,i,e) = normal / norm2(normal)
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enddo
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enddo
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end select
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enddo
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end subroutine mesh_build_ipAreas
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!--------------------------------------------------------------------------------------------------
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!> @brief Gives the FE to CP ID mapping by binary search through lookup array
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!! valid questions (what) are 'elem', 'node'
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