523 lines
24 KiB
Fortran
523 lines
24 KiB
Fortran
!* $Id$
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!********************************************************************
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! Material subroutine for BVP solution using spectral method
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!
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! written by P. Eisenlohr,
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! F. Roters,
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! L. Hantcherli,
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! W.A. Counts
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! D.D. Tjahjanto
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! C. Kords
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! M. Diehl
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! R. Lebensohn
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!
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! MPI fuer Eisenforschung, Duesseldorf
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!
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!********************************************************************
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! Usage:
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! - start program with mpie_spectral PathToMeshFile/NameOfMesh.mesh
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! PathToLoadFile/NameOfLoadFile.load
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! - PathToLoadFile will be the working directory
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! - make sure the file "material.config" exists in the working
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! directory
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!********************************************************************
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program mpie_spectral
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!********************************************************************
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use mpie_interface
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use prec, only: pInt, pReal
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use IO
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use math
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use CPFEM, only: CPFEM_general
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implicit none
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include 'fftw3.f' !header file for fftw3 (declaring variables). Library file is also needed
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! variables to read from loadcase and mesh file
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real(pReal), dimension(9) :: valuevector ! stores information temporarily from loadcase file
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integer(pInt), parameter :: maxNchunksInput = 24 ! 4 identifiers, 18 values for the matrices and 2 scalars
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integer(pInt), dimension (1+maxNchunksInput*2) :: posInput
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integer(pInt), parameter :: maxNchunksMesh = 7 ! 4 identifiers, 3 values
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integer(pInt), dimension (1+2*maxNchunksMesh) :: posMesh
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integer(pInt) unit, N_l, N_s, N_t, N_n ! numbers of identifiers
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character(len=1024) path, line
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logical gotResolution,gotDimension,gotHomogenization
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logical, dimension(9) :: bc_maskvector
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! variables storing information from loadcase file
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real(pReal) timeinc
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real(pReal), dimension (:,:,:), allocatable :: bc_velocityGrad, &
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bc_stress ! velocity gradient and stress BC
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real(pReal), dimension(:), allocatable :: bc_timeIncrement ! length of increment
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integer(pInt) N_Loadcases, steps
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integer(pInt), dimension(:), allocatable :: bc_steps ! number of steps
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logical, dimension(:,:,:,:), allocatable :: bc_mask ! mask of boundary conditions
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! variables storing information from mesh file
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real(pReal) wgt
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real(pReal), dimension(3) :: meshdimension
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integer(pInt) homog, prodnn
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integer(pInt), dimension(3) :: resolution
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! stress etc.
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real(pReal), dimension(3,3) :: pstress, defgradmacro, pstress_av, defgrad_av, temp33_Real
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real(pReal), dimension(3,3,3,3) :: dPdF, c0, s0
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real(pReal), dimension(6) :: cstress ! cauchy stress in Mandel notation (not needed)
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real(pReal), dimension(6,6) :: dsde
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real(pReal), dimension(9,9) :: s099
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real(pReal), dimension(:,:,:), allocatable :: ddefgrad
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real(pReal), dimension(:,:,:,:,:), allocatable :: pstress_field, defgrad, defgradold
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! variables storing information for spectral method
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complex(pReal), dimension(:,:,:,:,:), allocatable :: workfft
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complex(pReal), dimension(3,3) :: temp33_Complex
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real(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat
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real(pReal), dimension(:,:,:,:,:), allocatable :: xinormdyad
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real(pReal), dimension(:,:,:,:), allocatable :: xi
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integer(pInt), dimension(3) :: k_s
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integer*8, dimension(2,3,3) :: plan_fft
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! convergency etc.
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real(pReal) error, err_div, sigma0
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integer(pInt) itmax, ierr
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logical errmatinv
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! loop variables etc.
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real(pReal) guessmode ! flip-flop to guess defgrad fluctuation field evolution
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integer(pInt) i, j, k, l, m, n, p
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integer(pInt) loadcase, ielem, iter, calcmode
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real(pReal) temperature ! not used, but needed
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!gmsh output
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character(len=1024) :: nriter
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character(len=1024) :: nrstep
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real(pReal), dimension(:,:,:,:), allocatable :: displacement
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!gmsh output
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!Initializing
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bc_maskvector = ''
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unit = 234_pInt
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N_l = 0_pInt
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N_s = 0_pInt
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N_t = 0_pInt
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N_n = 0_pInt
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resolution = 1_pInt; meshdimension = 0.0_pReal
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xi = 0.0_pReal
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error = 1.0e-5_pReal
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itmax = 100_pInt
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temperature = 300.0_pReal
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gotResolution =.false.; gotDimension =.false.; gotHomogenization = .false.
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if (IargC() /= 2) call IO_error(102) ! check for correct number of given arguments
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! Reading the loadcase file and assign variables
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path = getLoadcaseName()
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print*,'Loadcase: ',trim(path)
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print*,'Workingdir: ',trim(getSolverWorkingDirectoryName())
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if (.not. IO_open_file(unit,path)) call IO_error(45,ext_msg = path)
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rewind(unit)
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do
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read(unit,'(a1024)',END = 101) line
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if (IO_isBlank(line)) cycle ! skip empty lines
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posInput = IO_stringPos(line,maxNchunksInput)
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do i = 1, maxNchunksInput, 1
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select case (IO_lc(IO_stringValue(line,posInput,i)))
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case('l','velocitygrad')
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N_l = N_l+1
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case('s','stress')
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N_s = N_s+1
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case('t','time','delta')
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N_t = N_t+1
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case('n','incs','increments','steps')
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N_n = N_n+1
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end select
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enddo ! count all identifiers to allocate memory and do sanity check
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if ((N_l /= N_s).or.(N_s /= N_t).or.(N_t /= N_n)) & ! sanity check
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call IO_error(46,ext_msg = path) ! error message for incomplete input file
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enddo
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! allocate memory depending on lines in input file
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101 N_Loadcases = N_l
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allocate (bc_velocityGrad(3,3,N_Loadcases)); bc_velocityGrad = 0.0_pReal
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allocate (bc_stress(3,3,N_Loadcases)); bc_stress = 0.0_pReal
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allocate (bc_mask(3,3,2,N_Loadcases)); bc_mask = .false.
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allocate (bc_timeIncrement(N_Loadcases)); bc_timeIncrement = 0.0_pReal
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allocate (bc_steps(N_Loadcases)); bc_steps = 0_pInt
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rewind(unit)
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i = 0_pInt
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do
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read(unit,'(a1024)',END = 200) line
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if (IO_isBlank(line)) cycle ! skip empty lines
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i = i + 1
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posInput = IO_stringPos(line,maxNchunksInput)
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do j = 1,maxNchunksInput,2
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select case (IO_lc(IO_stringValue(line,posInput,j)))
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case('l','velocitygrad')
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valuevector = 0.0_pReal
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forall (k = 1:9) bc_maskvector(k) = IO_stringValue(line,posInput,j+k) /= '#'
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do k = 1,9
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if (bc_maskvector(k)) valuevector(k) = IO_floatValue(line,posInput,j+k) ! assign values for the velocity gradient matrix
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enddo
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bc_mask(:,:,1,i) = reshape(bc_maskvector,(/3,3/))
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bc_velocityGrad(:,:,i) = reshape(valuevector,(/3,3/))
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case('s','stress')
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valuevector = 0.0_pReal
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forall (k = 1:9) bc_maskvector(k) = IO_stringValue(line,posInput,j+k) /= '#'
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do k = 1,9
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if (bc_maskvector(k)) valuevector(k) = IO_floatValue(line,posInput,j+k) ! assign values for the bc_stress matrix
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enddo
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bc_mask(:,:,2,i) = reshape(bc_maskvector,(/3,3/))
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bc_stress(:,:,i) = reshape(valuevector,(/3,3/))
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case('t','time','delta') ! increment time
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bc_timeIncrement(i) = IO_floatValue(line,posInput,j+1)
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case('n','incs','increments','steps') ! bc_steps
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bc_steps(i) = IO_intValue(line,posInput,j+1)
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end select
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enddo; enddo
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200 close(unit)
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do i = 1, N_Loadcases
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if (any(bc_mask(:,:,1,i) == bc_mask(:,:,2,i))) call IO_error(47,i) ! bc_mask consistency
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print '(a,/,3(3(f12.6,x)/))','L',bc_velocityGrad(:,:,i)
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print '(a,/,3(3(f12.6,x)/))','bc_stress',bc_stress(:,:,i)
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print '(a,/,3(3(l,x)/))','bc_mask for velocitygrad',bc_mask(:,:,1,i)
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print '(a,/,3(3(l,x)/))','bc_mask for stress',bc_mask(:,:,2,i)
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print *,'time',bc_timeIncrement(i)
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print *,'incs',bc_steps(i)
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print *, ''
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enddo
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!read header of mesh file to get the information needed before the complete mesh file is intepretated by mesh.f90
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path = getSolverJobName()
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print*,'JobName: ',trim(path)
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if (.not. IO_open_file(unit,trim(path)//InputFileExtension)) call IO_error(101,ext_msg = path)
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rewind(unit)
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do
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read(unit,'(a1024)',END = 100) line
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if (IO_isBlank(line)) cycle ! skip empty lines
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posMesh = IO_stringPos(line,maxNchunksMesh)
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select case ( IO_lc(IO_StringValue(line,posMesh,1)) )
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case ('dimension')
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gotDimension = .true.
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do i = 2,6,2
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select case (IO_lc(IO_stringValue(line,posMesh,i)))
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case('x')
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meshdimension(1) = IO_floatValue(line,posMesh,i+1)
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case('y')
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meshdimension(2) = IO_floatValue(line,posMesh,i+1)
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case('z')
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meshdimension(3) = IO_floatValue(line,posMesh,i+1)
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end select
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enddo
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case ('homogenization')
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gotHomogenization = .true.
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homog = IO_intValue(line,posMesh,2)
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case ('resolution')
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gotResolution = .true.
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do i = 2,6,2
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select case (IO_lc(IO_stringValue(line,posMesh,i)))
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case('a')
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resolution(1) = 2**IO_intValue(line,posMesh,i+1)
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case('b')
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resolution(2) = 2**IO_intValue(line,posMesh,i+1)
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case('c')
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resolution(3) = 2**IO_intValue(line,posMesh,i+1)
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end select
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enddo
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end select
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if (gotDimension .and. gotHomogenization .and. gotResolution) exit
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enddo
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100 close(unit)
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print '(a,/,i3,i3,i3)','resolution a b c', resolution
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print '(a,/,f6.2,f6.2,f6.2)','dimension x y z', meshdimension
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print *,'homogenization',homog
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print *, ''
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allocate (workfft(resolution(1)/2+1,resolution(2),resolution(3),3,3)); workfft = 0.0_pReal
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allocate (gamma_hat(resolution(1)/2+1,resolution(2),resolution(3),3,3,3,3)); gamma_hat = 0.0_pReal
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allocate (xinormdyad(resolution(1)/2+1,resolution(2),resolution(3),3,3)); xinormdyad = 0.0_pReal
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allocate (xi(resolution(1)/2+1,resolution(2),resolution(3),3)); xi = 0.0_pReal
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allocate (pstress_field(resolution(1),resolution(2),resolution(3),3,3)); pstress_field = 0.0_pReal
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allocate (displacement(resolution(1),resolution(2),resolution(3),3)); displacement = 0.0_pReal
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allocate (defgrad(resolution(1),resolution(2),resolution(3),3,3)); defgrad = 0.0_pReal
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allocate (defgradold(resolution(1),resolution(2),resolution(3),3,3)); defgradold = 0.0_pReal
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allocate (ddefgrad(resolution(1),resolution(2),resolution(3))); ddefgrad = 0.0_pReal
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! Initialization of fftw (see manual on fftw.org for more details)
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call dfftw_init_threads(ierr)
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call dfftw_plan_with_nthreads(4)
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do m = 1,3; do n = 1,3
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call dfftw_plan_dft_r2c_3d(plan_fft(1,m,n),resolution(1),resolution(2),resolution(3),&
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pstress_field(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT)
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call dfftw_plan_dft_c2r_3d(plan_fft(2,m,n),resolution(1),resolution(2),resolution(3),&
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workfft(:,:,:,m,n), ddefgrad(:,:,:), FFTW_PATIENT)
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enddo; enddo
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prodnn = resolution(1)*resolution(2)*resolution(3)
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wgt = 1_pReal/real(prodnn, pReal)
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defgradmacro = math_I3
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! Initialization of CPFEM_general (= constitutive law) and of deformation gradient field
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ielem = 0_pInt
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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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defgradold(i,j,k,:,:) = math_I3 !no deformation at the beginning
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defgrad(i,j,k,:,:) = math_I3
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ielem = ielem +1
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call CPFEM_general(2,math_I3,math_I3,temperature,0.0_pReal,ielem,1_pInt,cstress,dsde,pstress,dPdF)
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enddo; enddo; enddo
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!calculation of xinormdyad (needed to calculate gamma_hat) and xi (waves, needed for proof of equilibrium)
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do k = 1, resolution(3)
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k_s(3) = k-1
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if(k > resolution(3)/2+1) k_s(3) = k_s(3)-resolution(3)
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do j = 1, resolution(2)
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k_s(2) = j-1
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if(j > resolution(2)/2+1) k_s(2) = k_s(2)-resolution(2)
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do i = 1, resolution(1)/2+1
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k_s(1) = i-1
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xi(i,j,k,3) = 0.0_pReal
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if(resolution(3) > 1) xi(i,j,k,3) = real(k_s(3), pReal)/meshdimension(3)
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xi(i,j,k,2) = real(k_s(2), pReal)/meshdimension(2)
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xi(i,j,k,1) = real(k_s(1), pReal)/meshdimension(1)
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if (any(xi(i,j,k,:) /= 0.0_pReal)) then
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do l = 1,3; do m = 1,3
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xinormdyad(i,j,k, l,m) = xi(i,j,k, l)*xi(i,j,k, m)/sum(xi(i,j,k,:)**2)
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enddo; enddo
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endif
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enddo; enddo; enddo
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open(539,file='stress-strain.out')
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! Initialization done
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!*************************************************************
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!Loop over loadcases defined in the loadcase file
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do loadcase = 1, N_Loadcases
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!*************************************************************
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timeinc = bc_timeIncrement(loadcase)/bc_steps(loadcase)
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guessmode = 0.0_pReal ! change of load case, homogeneous guess for the first step
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!*************************************************************
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! loop oper steps defined in input file for current loadcase
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do steps = 1, bc_steps(loadcase)
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!*************************************************************
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defgradmacro = defgradmacro& ! update macroscopic displacement gradient (BC of defgrad)
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+ math_mul33x33(bc_velocityGrad(:,:,loadcase), defgradmacro)*timeinc
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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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temp33_Real = defgrad(i,j,k,:,:)
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defgrad(i,j,k,:,:) = defgrad(i,j,k,:,:)& ! old fluctuations as guess for new step, no fluctuations for new loadcase
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+ guessmode * (defgrad(i,j,k,:,:) - defgradold(i,j,k,:,:))&
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+ (1.0_pReal-guessmode) * math_mul33x33(bc_velocityGrad(:,:,loadcase),defgradold(i,j,k,:,:))*timeinc
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defgradold(i,j,k,:,:) = temp33_Real
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enddo; enddo; enddo
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guessmode = 1_pReal ! keep guessing along former trajectory during same loadcase
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calcmode = 1_pInt
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iter = 0_pInt
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err_div= 2_pInt * error
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!*************************************************************
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! convergency loop
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do while((iter <= itmax).and.(err_div > error))
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iter = iter + 1
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print '(A,I5.5,tr2,A,I5.5)', ' Step = ',steps,'Iteration = ',iter
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!*************************************************************
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err_div = 0.0_pReal; sigma0 = 0.0_pReal
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pstress_av = 0.0_pReal; defgrad_av = 0.0_pReal
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! Calculate stress field for current deformation gradient using CPFEM_general
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print *, 'Update Stress Field'
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ielem = 0_pInt
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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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ielem = ielem + 1
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call CPFEM_general(3, defgradold(i,j,k,:,:), defgrad(i,j,k,:,:),&
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temperature,timeinc,ielem,1_pInt,&
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cstress,dsde, pstress, dPdF)
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enddo; enddo; enddo
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c0 = 0.0_pReal
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ielem = 0_pInt
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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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ielem = ielem + 1
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call CPFEM_general(calcmode,& ! first element in first iteration retains calcMode 1, others get 2 (saves winding forward effort)
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defgradold(i,j,k,:,:), defgrad(i,j,k,:,:),&
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temperature,timeinc,ielem,1_pInt,&
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cstress,dsde, pstress, dPdF)
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calcmode = 2
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c0 = c0 + dPdF
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pstress_field(i,j,k,:,:) = pstress
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pstress_av = pstress_av + pstress ! average stress
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enddo; enddo; enddo
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pstress_av = pstress_av*wgt ! do the weighting of average stress
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! Update gamma_hat with new reference stiffness and calculate new average compliance (for stress BC)
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if(iter==1) then
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call math_invert(9, math_plain3333to99(c0),s099,i, errmatinv)
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if(errmatinv) call IO_error(45,ext_msg = "problem in c0 inversion") ! todo: change number and add message to io.f90 (and remove No. 48)
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s0 = math_plain99to3333(s099) * real(prodnn, pReal)
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c0 = c0 * wgt
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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
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temp33_Real = 0.0_pReal
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do l = 1,3; do m = 1,3; do n = 1,3; do p = 1,3
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temp33_Real(l,m) = temp33_Real(l,m) + c0(l,n,m,p) * xinormdyad(i,j,k, n,p)
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enddo; enddo; enddo; enddo
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temp33_Real = math_inv3x3(temp33_Real)
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do l=1,3; do m=1,3; do n=1,3; do p=1,3
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gamma_hat(i,j,k, l,m,n,p) = - temp33_Real(l,n) * xinormdyad(i,j,k, m,p)
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enddo; enddo; enddo; enddo
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enddo; enddo; enddo
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endif
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! Using the spectral method to calculate the change of deformation gradient, check divergence of stress field in fourier space
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print *, 'Update Deformation Gradient Field'
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do m = 1,3; do n = 1,3
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call dfftw_execute_dft_r2c(plan_fft(1,m,n), pstress_field(:,:,:,m,n),workfft(:,:,:,m,n))
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if(n == 3) sigma0 = max(sigma0, sum(abs(real(workfft(1,1,1,m,:))))) ! L infinity Norm of stress tensor
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enddo; enddo
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|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
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err_div = err_div + (maxval(abs(math_mul33x3_complex(workfft(i,j,k,:,:),xi(i,j,k,:))))) ! L infinity Norm of div(stress)
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temp33_Complex = .0_pReal
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|
do m = 1,3; do n = 1,3
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|
temp33_Complex(m,n) = sum(gamma_hat(i,j,k,m,n,:,:) * workfft(i,j,k,:,:))
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enddo; enddo
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|
workfft(i,j,k,:,:) = temp33_Complex(:,:)
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|
enddo; enddo; enddo
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|
|
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err_div = err_div/(real(prodnn/resolution(1)*(resolution(1)/2+1)))/sigma0 !weighting of error
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|
|
|
do m = 1,3; do n = 1,3
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|
call dfftw_execute_dft_c2r(plan_fft(2,m,n), workfft(:,:,:,m,n),ddefgrad(:,:,:))
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|
ddefgrad = ddefgrad * wgt
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|
defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + ddefgrad
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|
enddo; enddo
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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|
defgrad_av= defgrad_av + defgrad(i,j,k,:,:)
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|
enddo; enddo; enddo
|
|
defgrad_av = defgrad_av * wgt ! weight by number of FP
|
|
|
|
do m = 1,3; do n = 1,3
|
|
if(bc_mask(m,n,1,loadcase)) then ! adjust defgrad to fulfill displacement BC (defgradmacro)
|
|
defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + (defgradmacro(m,n)-defgrad_av(m,n))
|
|
else ! adjust defgrad to fulfill stress BC
|
|
defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + sum( s0(m,n,:,:)*(bc_stress(:,:,loadcase)-pstress_av(:,:)), &
|
|
mask = bc_mask(:,:,2,loadcase) )
|
|
endif
|
|
enddo; enddo
|
|
|
|
print '(2(a,E8.2))', ' Error = ',err_div,' Criteria = ', error
|
|
print '(A)', '---------------------------------------'
|
|
|
|
enddo ! end looping when convergency is achieved
|
|
|
|
write(539,'(E12.6,a,E12.6)'),defgrad_av(3,3)-1,' ',pstress_av(3,3)
|
|
print '(A,3(E10.4,tr2))', ' ', defgrad_av(1,:)
|
|
print '(A,3(E10.4,tr2))', ' Deformation Gradient: ', defgrad_av(2,:)
|
|
print '(A,3(E10.4,tr2))', ' ', defgrad_av(3,:)
|
|
print *, ''
|
|
print '(A,3(E10.4,tr2))', ' ', pstress_av(1,:)
|
|
print '(A,3(E10.4,tr2))', ' Piola-Kirchhoff Stress: ', pstress_av(2,:)
|
|
print '(A,3(E10.4,tr2))', ' ', pstress_av(3,:)
|
|
print '(A)', '************************************************************'
|
|
|
|
! Postprocessing (gsmh output)
|
|
temp33_Real(1,:) = 0.0_pReal; temp33_Real(1,3) = -(real(resolution(3))/meshdimension(3)) ! start just below origin
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
if((j==1).and.(i==1)) then
|
|
temp33_Real(1,:) = temp33_Real(1,:) + math_mul33x3(defgrad(i,j,k,:,:),(/0.0_pReal,0.0_pReal,(real(resolution(3))/meshdimension(3))/))
|
|
temp33_Real(2,:) = temp33_Real(1,:)
|
|
temp33_Real(3,:) = temp33_Real(1,:)
|
|
displacement(i,j,k,:) = temp33_Real(1,:)
|
|
else
|
|
if(i==1) then
|
|
temp33_Real(2,:) = temp33_Real(2,:) + math_mul33x3(defgrad(i,j,k,:,:),(/0.0_pReal,(real(resolution(2))/meshdimension(2)),0.0_pReal/))
|
|
temp33_Real(3,:) = temp33_Real(2,:)
|
|
displacement(i,j,k,:) = temp33_Real(2,:)
|
|
else
|
|
temp33_Real(3,:) = temp33_Real(3,:) + math_mul33x3(defgrad(i,j,k,:,:),(/(real(resolution(1))/meshdimension(1)),0.0_pReal,0.0_pReal/))
|
|
displacement(i,j,k,:) = temp33_Real(3,:)
|
|
endif
|
|
endif
|
|
enddo; enddo; enddo
|
|
|
|
write(nriter, *) iter; write(nrstep, *) steps
|
|
open(589,file = 'stress' //trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh')
|
|
open(588,file = 'disgrad'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh')
|
|
write(589, '(4(A, /), I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
|
write(588, '(4(A, /), I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
|
|
|
ielem = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
write(589, '(I10, 3(tr2, E12.6))'), ielem, displacement(i,j,k,:)
|
|
write(588, '(I10, 3(tr2, E12.6))'), ielem, displacement(i,j,k,:)
|
|
enddo; enddo; enddo
|
|
|
|
write(589, '(2(A, /), I10)'), '$EndNodes', '$Elements', prodnn
|
|
write(588, '(2(A, /), I10)'), '$EndNodes', '$Elements', prodnn
|
|
|
|
do i = 1, prodnn
|
|
write(589, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
|
write(588, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
|
enddo
|
|
|
|
write(589, '(A)'), '$EndElements'
|
|
write(588, '(A)'), '$EndElements'
|
|
write(589, '(8(A, /), I10)'), '$NodeData', '1','"'//trim(adjustl('stress'//trim(adjustl(nrstep))//&
|
|
'-'//trim(adjustl(nriter))//'_cpfem.msh'))//'"','1','0.0', '3', '0', '9', prodnn
|
|
write(588, '(8(A, /), I10)'), '$NodeData', '1','"'//trim(adjustl('disgrad'//trim(adjustl(nrstep))//&
|
|
'-'//trim(adjustl(nriter))//'_cpfem.msh'))//'"','1','0.0', '3', '0', '9', prodnn
|
|
|
|
ielem = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
write(589, '(i10, 9(tr2, E12.6))'), ielem, pstress_field(i,j,k,:,:)
|
|
write(588, '(i10, 9(tr2, E12.6))'), ielem, defgrad(i,j,k,:,:) - math_I3
|
|
enddo; enddo; enddo
|
|
|
|
write(589, *), '$EndNodeData'
|
|
write(588, *), '$EndNodeData'
|
|
close(589); close(588)
|
|
|
|
enddo ! end looping over steps in current loadcase
|
|
enddo ! end looping over loadcases
|
|
close(539)
|
|
|
|
do i=1,2; do m = 1,3; do n = 1,3
|
|
call dfftw_destroy_plan(plan_fft(i,m,n))
|
|
enddo; enddo; enddo
|
|
|
|
end program mpie_spectral
|
|
|
|
!********************************************************************
|
|
! quit subroutine to satisfy IO_error
|
|
!
|
|
!********************************************************************
|
|
subroutine quit(id)
|
|
use prec
|
|
implicit none
|
|
|
|
integer(pInt) id
|
|
|
|
stop
|
|
end subroutine |