542 lines
24 KiB
Fortran
542 lines
24 KiB
Fortran
!* $Id$
|
|
!********************************************************************
|
|
! Material subroutine for BVP solution using spectral method
|
|
!
|
|
! written by P. Eisenlohr,
|
|
! F. Roters,
|
|
! L. Hantcherli,
|
|
! W.A. Counts
|
|
! D.D. Tjahjanto
|
|
! C. Kords
|
|
! M. Diehl
|
|
! R. Lebensohn
|
|
!
|
|
! MPI fuer Eisenforschung, Duesseldorf
|
|
!
|
|
!********************************************************************
|
|
! Usage:
|
|
! - start program with mpie_spectral PathToMeshFile/NameOfMesh.mesh
|
|
! PathToLoadFile/NameOfLoadFile.load
|
|
! - PathToLoadFile will be the working directory
|
|
! - make sure the file "material.config" exists in the working
|
|
! directory
|
|
!********************************************************************
|
|
program mpie_spectral
|
|
!********************************************************************
|
|
|
|
use mpie_interface
|
|
use prec, only: pInt, pReal
|
|
use IO
|
|
use math
|
|
use CPFEM, only: CPFEM_general
|
|
|
|
implicit none
|
|
include 'fftw3.f' !header file for fftw3 (declaring variables). Library file is also needed
|
|
|
|
!variables to read in from loadcase and mesh file
|
|
real(pReal), dimension(9) :: valuevector ! stores information temporarily from loadcase file
|
|
integer(pInt), parameter :: maxNchunksInput = 24 ! 4 identifiers, 18 values for the matrices and 2 scalars
|
|
integer(pInt), dimension (1+maxNchunksInput*2) :: posInput
|
|
integer(pInt), parameter :: maxNchunksMesh = 7 ! 4 identifiers, 3 values
|
|
integer(pInt), dimension (1+2*maxNchunksMesh) :: posMesh
|
|
integer(pInt) unit, N_l, N_s, N_t, N_n ! numbers of identifiers
|
|
logical gotResolution,gotDimension,gotHomogenization
|
|
logical, dimension(9) :: bc_maskvector
|
|
character(len=1024) path, line
|
|
|
|
! variables storing information from loadcase file
|
|
integer(pInt) N_Loadcases, steps
|
|
integer(pInt), dimension(:), allocatable :: bc_steps ! number of steps
|
|
real(pReal) timeinc
|
|
real(pReal), dimension (:,:,:), allocatable :: bc_velocityGrad, &
|
|
bc_stress ! velocity gradient and stress BC
|
|
real(pReal), dimension(:), allocatable :: bc_timeIncrement ! length of increment
|
|
logical, dimension(:,:,:,:), allocatable :: bc_mask ! mask of boundary conditions
|
|
|
|
! variables storing information from mesh file
|
|
integer(pInt) homog, prodnn
|
|
real(pReal) wgt
|
|
integer(pInt), dimension(3) :: resolution
|
|
real(pReal), dimension(3) :: meshdimension
|
|
|
|
! stress etc.
|
|
real(pReal), dimension(6) :: cstress ! cauchy stress in Mandel notation
|
|
real(pReal), dimension(3,3) :: pstress ! Piola-Kirchhoff stress in Matrix notation
|
|
real(pReal), dimension(3,3,3,3) :: dPdF, c0, s0 ! ??, reference stiffnes, (reference stiffness)^-1
|
|
real(pReal), dimension(6,6) :: dsde, s066
|
|
real(pReal), dimension(3,3) :: defgradmacro
|
|
real(pReal), dimension(3,3) :: cstress_av, defgrad_av, temp33_Real
|
|
real(pReal), dimension(:,:,:,:,:), allocatable :: cstress_field, defgrad, defgradold, ddefgrad
|
|
|
|
! variables storing information for spectral method
|
|
complex(pReal), dimension(:,:,:,:,:), allocatable :: workfft
|
|
complex(pReal), dimension(3,3) :: temp33_Complex
|
|
real(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat
|
|
real(pReal), dimension(:,:,:,:,:), allocatable :: xknormdyad
|
|
real(pReal), dimension(3) :: xk
|
|
integer(pInt), dimension(3) :: k_s
|
|
integer*8, dimension(2,3,3) :: plan_fft
|
|
|
|
! convergency etc.
|
|
logical errmatinv
|
|
integer(pInt) itmax, ierr
|
|
real(pReal) error, err_stress_av, err_stress_max, err_strain_av, err_strain_max
|
|
real(pReal), dimension(3,3) :: strain_err, cstress_err
|
|
|
|
! loop variables etc.
|
|
integer(pInt) i, j, k, l, m, n, p
|
|
integer(pInt) loadcase, ielem, iter, calcmode
|
|
real(pReal) guessmode ! flip-flop to guess defgrad fluctuation field evolution
|
|
|
|
real(pReal) temperature ! not used, but needed
|
|
|
|
!gmsh output
|
|
character(len=1024) :: nriter
|
|
character(len=1024) :: nrstep
|
|
!gmsh output
|
|
|
|
!Initializing
|
|
bc_maskvector = ''
|
|
unit = 234_pInt
|
|
|
|
N_l = 0_pInt
|
|
N_s = 0_pInt
|
|
N_t = 0_pInt
|
|
N_n = 0_pInt
|
|
|
|
cstress_err = .0_pReal; strain_err = .0_pReal
|
|
|
|
cstress = .0_pReal
|
|
dsde = .0_pReal
|
|
|
|
resolution = 1_pInt; meshdimension = .0_pReal
|
|
|
|
error = 0.001_pReal
|
|
itmax = 50_pInt
|
|
|
|
temperature = 300.0_pReal
|
|
|
|
gotResolution =.false.; gotDimension =.false.; gotHomogenization = .false.
|
|
|
|
if (IargC() < 2) call IO_error(102) ! check for correct number of arguments given
|
|
|
|
! Reading the loadcase file and assign variables
|
|
path = getLoadcaseName()
|
|
print*,'Loadcase: ',trim(path)
|
|
print*,'Workingdir: ',trim(getSolverWorkingDirectoryName())
|
|
|
|
if (.not. IO_open_file(unit,path)) call IO_error(45,ext_msg = path)
|
|
|
|
rewind(unit)
|
|
do
|
|
read(unit,'(a1024)',END = 101) line
|
|
if (IO_isBlank(line)) cycle ! skip empty lines
|
|
posInput = IO_stringPos(line,maxNchunksInput)
|
|
do i = 1, maxNchunksInput, 1
|
|
select case (IO_lc(IO_stringValue(line,posInput,i)))
|
|
case('l','velocitygrad')
|
|
N_l = N_l+1
|
|
case('s','stress')
|
|
N_s = N_s+1
|
|
case('t','time','delta')
|
|
N_t = N_t+1
|
|
case('n','incs','increments','steps')
|
|
N_n = N_n+1
|
|
end select
|
|
enddo ! count all identifiers to allocate memory and do sanity check
|
|
if ((N_l /= N_s).or.(N_s /= N_t).or.(N_t /= N_n)) & ! sanity check
|
|
call IO_error(46,ext_msg = path) ! error message for incomplete input file
|
|
|
|
enddo
|
|
|
|
! allocate memory depending on lines in input file
|
|
101 N_Loadcases = N_l
|
|
|
|
allocate (bc_velocityGrad(3,3,N_Loadcases)); bc_velocityGrad = 0.0_pReal
|
|
allocate (bc_stress(3,3,N_Loadcases)); bc_stress = 0.0_pReal
|
|
allocate (bc_mask(3,3,2,N_Loadcases)); bc_mask = .false.
|
|
allocate (bc_timeIncrement(N_Loadcases)); bc_timeIncrement = 0.0_pReal
|
|
allocate (bc_steps(N_Loadcases)); bc_steps = 0_pInt
|
|
|
|
rewind(unit)
|
|
i = 0_pInt
|
|
do
|
|
read(unit,'(a1024)',END = 200) line
|
|
if (IO_isBlank(line)) cycle ! skip empty lines
|
|
i = i + 1
|
|
posInput = IO_stringPos(line,maxNchunksInput)
|
|
do j = 1,maxNchunksInput,2
|
|
select case (IO_lc(IO_stringValue(line,posInput,j)))
|
|
case('l','velocitygrad')
|
|
valuevector = 0.0_pReal
|
|
forall (k = 1:9) bc_maskvector(k) = IO_stringValue(line,posInput,j+k) /= '#'
|
|
do k = 1,9
|
|
if (bc_maskvector(k)) valuevector(k) = IO_floatValue(line,posInput,j+k) ! assign values for the velocity gradient matrix
|
|
enddo
|
|
bc_mask(:,:,1,i) = reshape(bc_maskvector,(/3,3/))
|
|
bc_velocityGrad(:,:,i) = reshape(valuevector,(/3,3/))
|
|
case('s','stress')
|
|
valuevector = 0.0_pReal
|
|
forall (k = 1:9) bc_maskvector(k) = IO_stringValue(line,posInput,j+k) /= '#'
|
|
do k = 1,9
|
|
if (bc_maskvector(k)) valuevector(k) = IO_floatValue(line,posInput,j+k) ! assign values for the bc_stress matrix
|
|
enddo
|
|
bc_mask(:,:,2,i) = reshape(bc_maskvector,(/3,3/))
|
|
bc_stress(:,:,i) = reshape(valuevector,(/3,3/))
|
|
case('t','time','delta') ! increment time
|
|
bc_timeIncrement(i) = IO_floatValue(line,posInput,j+1)
|
|
case('n','incs','increments','steps') ! bc_steps
|
|
bc_steps(i) = IO_intValue(line,posInput,j+1)
|
|
end select
|
|
enddo; enddo
|
|
|
|
200 close(unit)
|
|
|
|
! consistency checks
|
|
do i = 1, N_Loadcases
|
|
if (any(bc_mask(:,:,1,i) == bc_mask(:,:,2,i))) &
|
|
call IO_error(47,i) ! bc_mask consistency
|
|
if (any(math_transpose3x3(bc_stress(:,:,i)) + bc_stress(:,:,i) /= 2.0_pReal * bc_stress(:,:,i))) &
|
|
call IO_error(48,i) ! bc_stress symmetry
|
|
|
|
print '(a,/,3(3(f12.6,x)/))','L',bc_velocityGrad(:,:,i)
|
|
print '(a,/,3(3(f12.6,x)/))','bc_stress',bc_stress(:,:,i)
|
|
print '(a,/,3(3(l,x)/))','bc_mask for velocitygrad',bc_mask(:,:,1,i)
|
|
print '(a,/,3(3(l,x)/))','bc_mask for stress',bc_mask(:,:,2,i)
|
|
print *,'time',bc_timeIncrement(i)
|
|
print *,'incs',bc_steps(i)
|
|
print *, ''
|
|
enddo
|
|
|
|
!read header of mesh file to get the information needed before the complete mesh file is intepretated by mesh.f90
|
|
path = getSolverJobName()
|
|
print*,'JobName: ',trim(path)
|
|
if (.not. IO_open_file(unit,trim(path)//InputFileExtension)) call IO_error(101,ext_msg = path)
|
|
|
|
rewind(unit)
|
|
do
|
|
read(unit,'(a1024)',END = 100) line
|
|
if (IO_isBlank(line)) cycle ! skip empty lines
|
|
posMesh = IO_stringPos(line,maxNchunksMesh)
|
|
|
|
select case ( IO_lc(IO_StringValue(line,posMesh,1)) )
|
|
case ('dimension')
|
|
gotDimension = .true.
|
|
do i = 2,6,2
|
|
select case (IO_lc(IO_stringValue(line,posMesh,i)))
|
|
case('x')
|
|
meshdimension(1) = IO_floatValue(line,posMesh,i+1)
|
|
case('y')
|
|
meshdimension(2) = IO_floatValue(line,posMesh,i+1)
|
|
case('z')
|
|
meshdimension(3) = IO_floatValue(line,posMesh,i+1)
|
|
end select
|
|
enddo
|
|
case ('homogenization')
|
|
gotHomogenization = .true.
|
|
homog = IO_intValue(line,posMesh,2)
|
|
case ('resolution')
|
|
gotResolution = .true.
|
|
do i = 2,6,2
|
|
select case (IO_lc(IO_stringValue(line,posMesh,i)))
|
|
case('a')
|
|
resolution(1) = 2**IO_intValue(line,posMesh,i+1)
|
|
case('b')
|
|
resolution(2) = 2**IO_intValue(line,posMesh,i+1)
|
|
case('c')
|
|
resolution(3) = 2**IO_intValue(line,posMesh,i+1)
|
|
end select
|
|
enddo
|
|
end select
|
|
if (gotDimension .and. gotHomogenization .and. gotResolution) exit
|
|
enddo
|
|
100 close(unit)
|
|
|
|
print '(a,/,i3,i3,i3)','resolution a b c', resolution
|
|
print '(a,/,f6.2,f6.2,f6.2)','dimension x y z', meshdimension
|
|
print *,'homogenization',homog
|
|
print *, ''
|
|
|
|
allocate (workfft(resolution(1)/2+1,resolution(2),resolution(3),3,3)); workfft = .0_pReal
|
|
allocate (gamma_hat(resolution(1)/2+1,resolution(2),resolution(3),3,3,3,3)); gamma_hat = .0_pReal
|
|
allocate (xknormdyad(resolution(1)/2+1,resolution(2),resolution(3),3,3)); xknormdyad = .0_pReal
|
|
allocate (cstress_field(resolution(1),resolution(2),resolution(3),3,3)); cstress_field = .0_pReal
|
|
allocate (defgrad(resolution(1),resolution(2),resolution(3),3,3)); defgrad = .0_pReal
|
|
allocate (defgradold(resolution(1),resolution(2),resolution(3),3,3)); defgradold = .0_pReal
|
|
allocate (ddefgrad(resolution(1),resolution(2),resolution(3),3,3)); ddefgrad = .0_pReal
|
|
|
|
call dfftw_init_threads(ierr)
|
|
call dfftw_plan_with_nthreads(4)
|
|
do m = 1,3; do n = 1,3
|
|
call dfftw_plan_dft_r2c_3d(plan_fft(1,m,n),resolution(1),resolution(2),resolution(3),&
|
|
cstress_field(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT, FFTW_DESTROY_INPUT)
|
|
call dfftw_plan_dft_c2r_3d(plan_fft(2,m,n),resolution(1),resolution(2),resolution(3),&
|
|
workfft(:,:,:,m,n), ddefgrad(:,:,:,m,n), FFTW_PATIENT)
|
|
enddo; enddo
|
|
|
|
prodnn = resolution(1)*resolution(2)*resolution(3)
|
|
wgt = 1._pReal/real(prodnn, pReal)
|
|
|
|
ielem = 0_pInt
|
|
c0 = .0_pReal
|
|
defgradmacro = math_I3
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
defgradold(i,j,k,:,:) = math_I3 !no deformation at the beginning
|
|
defgrad(i,j,k,:,:) = math_I3
|
|
ielem = ielem +1
|
|
call CPFEM_general(2,math_I3,math_I3,temperature,0.0_pReal,ielem,1_pInt,cstress,dsde,pstress,dPdF)
|
|
c0 = c0 + math_Mandel66to3333(dsde)
|
|
enddo; enddo; enddo
|
|
|
|
call math_invert(6,math_Mandel3333to66(c0),s066,i,errmatinv) !i is just a dummy variable
|
|
if(errmatinv) call IO_error(45,ext_msg = "problem in c0 inversion") ! todo: change number and add message to io.f90
|
|
s0 = math_Mandel66to3333(s066)*real(prodnn, pReal)
|
|
|
|
!calculation of xknormdyad (needed to calculate gamma_hat)
|
|
do k = 1, resolution(3)
|
|
k_s(3) = k-1
|
|
if(k > resolution(3)/2+1) k_s(3) = k_s(3)-resolution(3)
|
|
xk(3) = .0_pReal
|
|
if(resolution(3) > 1) xk(3) = real(k_s(3), pReal)/meshdimension(3)
|
|
do j = 1, resolution(2)
|
|
k_s(2) = j-1
|
|
if(j > resolution(2)/2+1) k_s(2) = k_s(2)-resolution(2)
|
|
xk(2) = real(k_s(2), pReal)/meshdimension(2)
|
|
do i = 1, resolution(1)/2+1
|
|
k_s(1) = i-1
|
|
xk(1) = real(k_s(1), pReal)/meshdimension(1)
|
|
|
|
if (any(xk /= .0_pReal)) then
|
|
do l = 1,3; do m = 1,3
|
|
xknormdyad(i,j,k, l,m) = xk(l)*xk(m)/(xk(1)**2+xk(2)**2+xk(3)**2)
|
|
enddo; enddo
|
|
endif
|
|
enddo; enddo; enddo
|
|
|
|
! Initialization done
|
|
open(539,file='stress-strain.out')
|
|
|
|
!*************************************************************
|
|
!Loop over loadcases defined in the loadcase file
|
|
do loadcase = 1, N_Loadcases
|
|
!*************************************************************
|
|
|
|
timeinc = bc_timeIncrement(loadcase)/bc_steps(loadcase)
|
|
guessmode = 0.0_pReal ! change of load case
|
|
|
|
!*************************************************************
|
|
! loop oper steps defined in input file for current loadcase
|
|
do steps = 1, bc_steps(loadcase)
|
|
!*************************************************************
|
|
write(*,*) '***************************************************'
|
|
write(*,*) 'STEP = ',steps
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
temp33_Real = defgrad(i,j,k,:,:)
|
|
defgrad(i,j,k,:,:) = defgrad(i,j,k,:,:) + guessmode * (defgrad(i,j,k,:,:) - defgradold(i,j,k,:,:))& ! old fluctuations as guess for new step
|
|
+ (1.0_pReal-guessmode) * bc_velocityGrad(:,:,loadcase)*timeinc ! homogeneous fluctuations for new loadcase
|
|
defgradold(i,j,k,:,:) = temp33_Real ! wind forward
|
|
enddo; enddo; enddo
|
|
|
|
defgradmacro = defgradmacro + bc_velocityGrad(:,:,loadcase)*timeinc !update macroscopic displacement gradient (stores the desired BCs of defgrad)
|
|
guessmode = 1.0_pReal ! keep guessing along former trajectory
|
|
calcmode = 1_pInt
|
|
iter = 0_pInt
|
|
err_stress_av = 2.*error; err_strain_av = 2.*error
|
|
|
|
!*************************************************************
|
|
! convergency loop
|
|
do while((iter <= itmax).and.((err_stress_av > error).or.(err_strain_av > error)))
|
|
iter = iter+1
|
|
write(*,*) 'ITER = ',iter
|
|
!*************************************************************
|
|
err_strain_av = .0_pReal; err_stress_av = .0_pReal
|
|
err_strain_max = .0_pReal; err_stress_max = .0_pReal
|
|
cstress_av = .0_pReal; defgrad_av=.0_pReal
|
|
|
|
write(*,*) 'UPDATE STRESS FIELD'
|
|
ielem = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
call CPFEM_general(3, defgradold(i,j,k,:,:), defgrad(i,j,k,:,:),&
|
|
temperature,timeinc,ielem,1_pInt,&
|
|
cstress,dsde, pstress, dPdF)
|
|
enddo; enddo; enddo
|
|
|
|
c0 = .0_pReal
|
|
l = 0_pInt
|
|
ielem = 0_pInt
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
call CPFEM_general(calcmode,& ! first element in first iteration retains calcMode 1, others get 2 (saves winding forward effort)
|
|
defgradold(i,j,k,:,:), defgrad(i,j,k,:,:),&
|
|
temperature,timeinc,ielem,1_pInt,&
|
|
cstress,dsde, pstress, dPdF)
|
|
calcmode = 2
|
|
c0 = c0 + math_Mandel66to3333(dsde)
|
|
temp33_Real = math_Mandel6to33(cstress)
|
|
|
|
do m = 1,3; do n = 1,3 ! calculate stress error
|
|
if(abs(temp33_Real(m,n)) > 0.1_pReal * abs(cstress_err(m,n))) then ! only stress components larger than 10% are taking under consideration
|
|
err_stress_av = err_stress_av + abs((cstress_field(i,j,k,m,n)-temp33_Real(m,n))/temp33_Real(m,n))
|
|
err_stress_max = max(err_stress_max, abs((cstress_field(i,j,k,m,n)-temp33_Real(m,n))/temp33_Real(m,n)))
|
|
l=l+1
|
|
endif
|
|
enddo; enddo
|
|
cstress_field(i,j,k,:,:) = temp33_Real
|
|
cstress_av = cstress_av + temp33_Real ! average stress
|
|
enddo; enddo; enddo
|
|
|
|
err_stress_av = err_stress_av/l ! do the weighting of the error
|
|
cstress_av = cstress_av*wgt ! do the weighting of average stress
|
|
cstress_err = cstress_av
|
|
|
|
if(iter==1) then !update reference stiffness for gamma_hat
|
|
c0 = c0 *wgt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
|
temp33_Real = .0_pReal
|
|
do l = 1,3; do m = 1,3; do n = 1,3; do p = 1,3
|
|
temp33_Real(l,m) = temp33_Real(l,m)+c0(l,n,m,p)*xknormdyad(i,j,k, n,p)
|
|
enddo; enddo; enddo; enddo
|
|
temp33_Real = math_inv3x3(temp33_Real)
|
|
do l=1,3; do m=1,3; do n=1,3; do p=1,3
|
|
gamma_hat(i,j,k, l,m,n,p) = -temp33_Real(l,n)*xknormdyad(i,j,k, m,p)
|
|
enddo; enddo; enddo; enddo
|
|
enddo; enddo; enddo
|
|
endif
|
|
|
|
write(*,*) 'SPECTRAL METHOD TO GET CHANGE OF DEFORMATION GRADIENT FIELD'
|
|
do m = 1,3; do n = 1,3
|
|
call dfftw_execute_dft_r2c(plan_fft(1,m,n), cstress_field(:,:,:,m,n),workfft(:,:,:,m,n))
|
|
enddo; enddo
|
|
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
|
temp33_Complex = .0_pReal
|
|
do m = 1,3; do n = 1,3
|
|
temp33_Complex(m,n) = sum(gamma_hat(i,j,k,m,n,:,:) * workfft(i,j,k,:,:))
|
|
enddo; enddo
|
|
workfft(i,j,k,:,:) = temp33_Complex(:,:)
|
|
enddo; enddo; enddo
|
|
|
|
do m = 1,3; do n = 1,3
|
|
call dfftw_execute_dft_c2r(plan_fft(2,m,n), workfft(:,:,:,m,n),ddefgrad(:,:,:,m,n))
|
|
enddo; enddo
|
|
|
|
ddefgrad = ddefgrad * wgt
|
|
defgrad = defgrad + ddefgrad
|
|
|
|
l = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
defgrad_av(:,:) = defgrad_av(:,:) + defgrad(i,j,k,:,:) ! calculate average strain
|
|
do m = 1,3; do n = 1,3 ! calculate strain error
|
|
if(abs(defgrad(i,j,k,m,n)) > 0.1 * abs(strain_err(m,n))) then
|
|
err_strain_av = err_strain_av + abs(real(ddefgrad(i,j,k,m,n), pReal)/defgrad(i,j,k,m,n))
|
|
err_strain_max = max(err_strain_max, abs(real(ddefgrad(i,j,k,m,n), pReal)/defgrad(i,j,k,m,n)))
|
|
l=l+1
|
|
endif
|
|
enddo; enddo
|
|
enddo; enddo; enddo
|
|
|
|
err_strain_av = err_strain_av/l ! weight by number of non-zero strain components
|
|
defgrad_av = defgrad_av * wgt ! weight by number of points
|
|
strain_err = defgrad_av
|
|
|
|
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)-cstress_av(:,:)), &
|
|
mask = bc_mask(:,:,2,loadcase) )
|
|
endif
|
|
enddo; enddo
|
|
|
|
write(*,*) 'STRESS FIELD ERROR AV = ',err_stress_av
|
|
write(*,*) 'STRAIN FIELD ERROR AV = ',err_strain_av
|
|
write(*,*) 'STRESS FIELD ERROR MAX = ',err_stress_max
|
|
write(*,*) 'STRAIN FIELD ERROR MAX = ',err_strain_max
|
|
|
|
enddo ! end looping when convergency is achieved
|
|
write(539,'(f12.6,a,f12.6)'),defgrad_av(3,3)-1,' ',cstress_av(3,3)
|
|
write(*,*) 'U11 U22 U33'
|
|
write(*,*) defgrad_av(1,1)-1,defgrad_av(2,2)-1,defgrad_av(3,3)-1
|
|
write(*,*) 'U11/U33'
|
|
write(*,*) (defgrad_av(1,1)-1)/(defgrad_av(3,3)-1)
|
|
write(*,*) 'S11 S22 S33'
|
|
write(*,*) cstress_av(1,1),cstress_av(2,2),cstress_av(3,3)
|
|
|
|
!gsmh output
|
|
write(nriter, *) iter
|
|
write(nrstep, *) steps
|
|
nrstep='defgrad'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh'
|
|
open(589,file=nrstep)
|
|
write(589, '(A, /, A, /, A, /, A, /, I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
|
do i = 1, prodnn
|
|
write(589, '(I10, I10, I10, I10)'), i, mod((i-1), resolution(1)) +1, mod(((i-1)/resolution(1)),&
|
|
resolution(2)) +1, mod(((i-1)/(resolution(1)*resolution(2))), resolution(3)) +1
|
|
enddo
|
|
write(589, '(A, /, A, /, I10)'), '$EndNodes', '$Elements', prodnn
|
|
do i = 1, prodnn
|
|
write(589, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
|
enddo
|
|
write(589, '(A)'), '$EndElements'
|
|
write(589, '(A, /, A, /, A, /, A, /, A, /, A, /, A, /, A, /, I10)'), '$NodeData', '1',&
|
|
'"'//trim(adjustl(nrstep))//'"', '1','0.0', '3', '0', '9', prodnn
|
|
ielem = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
write(589, '(i10,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,&
|
|
tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2)'), ielem, defgrad(i,j,k,:,:)
|
|
enddo; enddo; enddo
|
|
write(589, *), '$EndNodeData'
|
|
close(589)
|
|
|
|
write(nriter, *) iter
|
|
write(nrstep, *) steps
|
|
nrstep = 'stress'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh'
|
|
open(589,file = nrstep)
|
|
write(589, '(A, /, A, /, A, /, A, /, I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
|
do i = 1, prodnn
|
|
write(589, '(I10, I10, I10, I10)'), i, mod((i-1), resolution(1)) +1, mod(((i-1)/resolution(1)),&
|
|
resolution(2)) +1, mod(((i-1)/(resolution(1)*resolution(2))), resolution(3)) +1
|
|
enddo
|
|
write(589, '(A, /, A, /, I10)'), '$EndNodes', '$Elements', prodnn
|
|
do i = 1, prodnn
|
|
write(589, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
|
enddo
|
|
write(589, '(A)'), '$EndElements'
|
|
write(589, '(A, /, A, /, A, /, A, /, A, /, A, /, A, /, A, /, I10)'), '$NodeData', '1',&
|
|
'"'//trim(adjustl(nrstep))//'"', '1','0.0', '3', '0', '9', prodnn
|
|
ielem = 0_pInt
|
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
ielem = ielem + 1
|
|
write(589, '(i10,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2,f16.8,&
|
|
tr2,f16.8,tr2,f16.8,tr2,f16.8,tr2)'), ielem, cstress_field(i,j,k,:,:)
|
|
enddo; enddo; enddo
|
|
write(589, *), '$EndNodeData'
|
|
close(589)
|
|
!end gmsh
|
|
|
|
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 |