added matrix multiplication 3333x33 to math.f90
added some parameters for spectral method to numerics.f90 (tolerance) changed error message concerning spectral method in IO.f90 corrected calculation of stress BC in mpie_spectral.f90
This commit is contained in:
Martin Diehl
parent
724960686f
commit
3c502561ee
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@ -1062,7 +1062,7 @@ endfunction
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case (47)
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msg = 'mask consistency violated in spectral loadcase'
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case (48)
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msg = 'stress symmetry violated in spectral loadcase'
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msg = 'Non-positive relative tolerance for defGrad correction'
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case (50)
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msg = 'Error writing constitutive output description'
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case (100)
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@ -448,6 +448,27 @@ real(pReal), dimension(4,36), parameter :: math_symOperations = &
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endfunction
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!**************************************************************************
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! matrix multiplication 3333x33 = 33 (double contraction --> ijkl *kl = ij)
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!**************************************************************************
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pure function math_mul3333xx33(A,B)
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use prec, only: pReal, pInt
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implicit none
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integer(pInt) i,j
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real(pReal), dimension(3,3,3,3), intent(in) :: A
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real(pReal), dimension(3,3), intent(in) :: B
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real(pReal), dimension(3,3) :: C,math_mul3333xx33
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do i = 1,3
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do j = 1,3
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math_mul3333xx33(i,j) = sum(A(i,j,:,:)*B(:,:))
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enddo; enddo
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return
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endfunction
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!**************************************************************************
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! matrix multiplication 33x33 = 3x3
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@ -29,6 +29,7 @@ program mpie_spectral
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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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use numerics, only: relevantStrain, rTol_crystalliteStress, rTol_defgradAvg
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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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@ -60,13 +61,16 @@ program mpie_spectral
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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) :: ones, zeroes, temp33_Real, damper,&
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pstress, cstress_av, defgrad_av,&
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defgradAim, defgradAimOld, defgradAimCorr, defgradAimCorrPrev,&
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mask_stress, mask_defgrad
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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(6) :: cstress ! cauchy stress in Mandel notation
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real(pReal), dimension(6,6) :: dsde, c066, s066
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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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real(pReal), dimension(:,:,:,:,:), allocatable :: pstress_field, defgrad, defgradold, cstress_field
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! variables storing information for spectral method
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complex(pReal), dimension(:,:,:,:,:), allocatable :: workfft
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@ -77,28 +81,32 @@ program mpie_spectral
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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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! convergence etc.
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real(pReal) err_div, err_stress, err_defgrad
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real(pReal) err_div_tol, err_stress_tol, err_defgrad_tol, 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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integer(pInt) loadcase, ielem, iter, calcmode, CPFEM_mode
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real(pReal) temperature ! not used, but needed for call to CPFEM_general
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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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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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ones = 1.0_pReal
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zeroes = 0.0_pReal
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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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@ -107,9 +115,12 @@ program mpie_spectral
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resolution = 1_pInt; meshdimension = 0.0_pReal
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xi = 0.0_pReal
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c0 = 0.0_pReal
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err_div_tol = 1.0e-4
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err_stress_tol = 1.0e6
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err_defgrad_tol = 1.0e-12
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error = 1.0e-4_pReal
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itmax = 100_pInt
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itmax = 50_pInt
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temperature = 300.0_pReal
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@ -142,7 +153,7 @@ program mpie_spectral
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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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call IO_error(46,ext_msg = path) !error message for incomplete input file
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enddo
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@ -232,11 +243,11 @@ program mpie_spectral
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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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resolution(1) = 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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resolution(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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resolution(3) = 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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@ -254,6 +265,7 @@ program mpie_spectral
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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 (cstress_field(resolution(1),resolution(2),resolution(3),3,3)); cstress_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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@ -271,22 +283,18 @@ program mpie_spectral
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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, calculating compliance
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defgradAim = math_I3
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defgradAimOld = math_I3
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defgrad_av = 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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c0 = c0 + dPdF
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enddo; enddo; enddo
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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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!calculation of xinormdyad (to calculate gamma_hat) and xi (waves, 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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@ -310,7 +318,6 @@ program mpie_spectral
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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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@ -320,37 +327,69 @@ program mpie_spectral
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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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mask_defgrad = merge(ones,zeroes,bc_mask(:,:,1,loadcase))
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mask_stress = merge(ones,zeroes,bc_mask(:,:,2,loadcase))
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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 (defgrad BC)
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+ math_mul33x33(bc_velocityGrad(:,:,loadcase), defgradmacro)*timeinc !todo: correct calculation?
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temp33_Real = defgradAim
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defgradAim = defgradAim & ! update macroscopic displacement gradient (defgrad BC)
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+ guessmode * mask_stress * (defgradAim - defgradAimOld) &
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+ math_mul33x33(bc_velocityGrad(:,:,loadcase), defgradAim)*timeinc
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defgradAimOld = temp33_Real
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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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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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guessmode = 1.0_pReal ! keep guessing along former trajectory during same loadcase
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calcmode = 1_pInt ! start calculation of BC fullfillment
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CPFEM_mode = 1_pInt ! winding forward
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iter = 0_pInt
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err_div= 2_pInt * error
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err_stress= 2_pReal * err_stress_tol ! go into loop
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defgradAimCorr = 0.0_pReal ! reset damping calculation
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damper = ones/10
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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)*defgrad_av(3,3))
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xi(i,j,k,2) = real(k_s(2), pReal)/(meshdimension(2)*defgrad_av(2,2))
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xi(i,j,k,1) = real(k_s(1), pReal)/(meshdimension(1)*defgrad_av(1,1))
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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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!*************************************************************
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! convergency loop
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do while((iter <= itmax).and.(err_div > error))
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! convergence loop
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do while( iter <= itmax .and. &
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(err_div > err_div_tol .or. &
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err_stress > err_stress_tol .or. &
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err_defgrad > err_defgrad_tol))
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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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!*************************************************************
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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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print *, 'Update Stress Field (constitutive evaluation P(F))'
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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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@ -358,93 +397,140 @@ program mpie_spectral
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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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cstress_av = 0.0_pReal
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c0 = 0.0_pReal; c066 = 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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call CPFEM_general(CPFEM_mode,& ! first element in first iteration retains CPFEM_mode 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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CPFEM_mode = 2
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c0 = c0 + dPdF
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c066 = c066 + dsde
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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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cstress_field(i,j,k,:,:) = math_mandel6to33(cstress)
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cstress_av = cstress_av + math_mandel6to33(cstress) ! 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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c0 = c0 * wgt
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! Update gamma_hat with new reference stiffness
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if((iter==1).and.(any(c0>0.1))) then ! for perfect plasticity inversion is not possible, criteria is just a first guess
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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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print *, 'Gamma hat updated'
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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(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 = 0.0_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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err_div = err_div/real((prodnn/resolution(1)*(resolution(1)/2+1)), pReal)/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
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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
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defgrad_av = defgrad_av * wgt ! weight by number of FP
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do m = 1,3; do n = 1,3
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if(bc_mask(m,n,1,loadcase)) then ! adjust defgrad to fulfill displacement BC (defgradmacro)
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defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + (defgradmacro(m,n)-defgrad_av(m,n))
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else ! adjust defgrad to fulfill stress BC
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defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + sum( s0(m,n,:,:)*(bc_stress(:,:,loadcase)-pstress_av(:,:)), &
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mask = bc_mask(:,:,2,loadcase) )
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cstress_av = cstress_av*wgt ! do the weighting of average stress
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err_stress = maxval(abs(mask_stress * (cstress_av - bc_stress(:,:,loadcase))))
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err_stress_tol = maxval(abs(cstress_av))/100.0_pReal !accecpt one % of error
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print '(2(a,E8.2))', ' error stress ',err_stress,' Tol. = ', err_stress_tol
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||||
|
||||
! Update gamma_hat with new reference stiffness, calculate new compliance
|
||||
if(iter == 1) then
|
||||
c0 = c0 * wgt
|
||||
c066 = c066 * wgt
|
||||
call math_invert(9, math_plain3333to99(c0), s099, i, errmatinv)
|
||||
errmatinv = .true.
|
||||
if(errmatinv) then
|
||||
call math_invert(6, c066, s066,i, errmatinv)
|
||||
if(errmatinv) then
|
||||
print *, 'Compliance not updated'
|
||||
else
|
||||
s0 = math_mandel66to3333(s066)
|
||||
endif
|
||||
else
|
||||
s0 = math_plain99to3333(s099)
|
||||
endif
|
||||
enddo; enddo
|
||||
|
||||
print '(2(a,E8.2))', ' Error = ',err_div,' Tol. = ', error
|
||||
print '(A)', '-----------------------------------'
|
||||
if(errmatinv == .false.) then
|
||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
||||
temp33_Real = 0.0_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) * xinormdyad(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) * xinormdyad(i,j,k, m,p)
|
||||
enddo; enddo; enddo; enddo
|
||||
enddo; enddo; enddo
|
||||
print *, 'Gamma hat updated'
|
||||
endif
|
||||
endif
|
||||
|
||||
select case (calcmode)
|
||||
case (0) ! Using the spectral method to calculate the change of deformation gradient, check divergence of stress field in fourier space
|
||||
print *, 'Calculating equilibrium using spectral method'
|
||||
err_div = 0.0_pReal; sigma0 = 0.0_pReal
|
||||
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))
|
||||
if(n==3) sigma0 = max(sigma0, sum(abs(workfft(1,1,1,m,:)))) ! L infinity Norm of stress tensor
|
||||
enddo; enddo
|
||||
|
||||
if(iter==1) err_div=2*error ! at least two iterations to fulfill BC
|
||||
enddo ! end looping when convergency is achieved
|
||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
||||
err_div = err_div + (maxval(abs(math_mul33x3_complex(workfft(i,j,k,:,:),xi(i,j,k,:))))) ! L infinity Norm of div(stress)
|
||||
temp33_Complex = 0.0_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
|
||||
|
||||
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,:)
|
||||
err_div = err_div/real((prodnn/resolution(1)*(resolution(1)/2+1)), pReal)/sigma0 !weighting of error
|
||||
|
||||
do m = 1,3; do n = 1,3
|
||||
call dfftw_execute_dft_c2r(plan_fft(2,m,n), workfft(:,:,:,m,n),ddefgrad(:,:,:))
|
||||
ddefgrad = ddefgrad * wgt
|
||||
defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + ddefgrad
|
||||
enddo; enddo
|
||||
|
||||
print '(2(a,E8.2))', ' error divergence ',err_div,' Tol. = ', err_div_tol
|
||||
|
||||
if(err_div < err_div_tol) then ! change to calculation of BCs, reset damper etc.
|
||||
calcmode = 1
|
||||
defgradAimCorr = 0.0_pReal
|
||||
damper = ones/10
|
||||
endif
|
||||
|
||||
case (1) ! adjust defgrad to fulfill BCs s
|
||||
print*, 'Correcting deformation gradient to fullfill BCs'
|
||||
defgrad_av = 0.0_pReal
|
||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||
defgrad_av = defgrad_av + defgrad(i,j,k,:,:)
|
||||
enddo; enddo; enddo
|
||||
defgrad_av = defgrad_av * wgt ! weight by number of FP
|
||||
|
||||
defgradAimCorrPrev = defgradAimCorr
|
||||
defgradAimCorr = -mask_stress * math_mul3333xx33(s0, (mask_stress*(cstress_av - bc_stress(:,:,loadcase))))
|
||||
|
||||
do m=1,3; do n =1,3 ! calculate damper (correction is far to strong)
|
||||
if ( sign(1.0_pReal,defgradAimCorr(m,n))/=sign(1.0_pReal,defgradAimCorrPrev(m,n))) then
|
||||
damper(m,n) = max(0.0_pReal,damper(m,n)*0.8)
|
||||
else
|
||||
damper(m,n) = min(1.0_pReal,damper(m,n) *1.2)
|
||||
endif
|
||||
enddo; enddo
|
||||
defgradAimCorr = mask_Stress*(damper * defgradAimCorr)
|
||||
defgradAim = defgradAim + defgradAimCorr
|
||||
|
||||
do m = 1,3; do n = 1,3
|
||||
defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + (defgradAim(m,n) - defgrad_av(m,n)) !anticipated target minus current state
|
||||
enddo; enddo
|
||||
|
||||
err_defgrad = maxval(abs(mask_defgrad * (defgrad_av - defgradAim)))
|
||||
print '(a,/,3(3(f12.7,x)/))', ' defgrad Aim: ',defgradAim(1:3,:)
|
||||
print '(a,/,3(3(f12.7,x)/))', ' damper: ',damper(1:3,:)
|
||||
print '(a,/,3(3(f10.4,x)/))', ' Cauchy Stress [MPa]: ',cstress_av(1:3,:)/1.e6
|
||||
print '(2(a,E8.2))', ' error defgrad ',err_defgrad,' Tol. = ',err_defgrad_tol
|
||||
print '(2(a,E8.2))', ' error stress ',err_stress,' Tol. = ', err_stress_tol*0.8
|
||||
if(err_stress < err_stress_tol*0.8) then
|
||||
calcmode = 0
|
||||
err_div = 2* err_div_tol
|
||||
endif
|
||||
|
||||
end select
|
||||
|
||||
enddo ! end looping when convergency is achieved
|
||||
|
||||
write(539,'(E12.6,a,E12.6)'),defgrad_av(3,3)-1,' ', cstress_av(3,3)
|
||||
print '(a,/,3(3(f12.7,x)/))', ' Deformation Gradient: ',defgrad_av(1:3,:)
|
||||
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,/,3(3(f10.4,x)/))', ' Cauchy Stress [MPa]: ',cstress_av(1:3,:)/1.e6
|
||||
print '(A)', '************************************************************'
|
||||
|
||||
! Postprocessing (gsmh output)
|
||||
if(mod(steps-1,10)==0) then
|
||||
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)
|
||||
|
|
@ -474,8 +560,8 @@ program mpie_spectral
|
|||
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, E14.8))'), ielem, displacement(i,j,k,:)
|
||||
write(588, '(I10, 3(tr2, E14.8))'), ielem, displacement(i,j,k,:)
|
||||
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
|
||||
|
|
@ -496,14 +582,14 @@ program mpie_spectral
|
|||
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, E14.8))'), ielem, pstress_field(i,j,k,:,:)
|
||||
write(589, '(i10, 9(tr2, E14.8))'), ielem, cstress_field(i,j,k,:,:)
|
||||
write(588, '(i10, 9(tr2, E14.8))'), ielem, defgrad(i,j,k,:,:) - math_I3
|
||||
enddo; enddo; enddo
|
||||
|
||||
write(589, *), '$EndNodeData'
|
||||
write(588, *), '$EndNodeData'
|
||||
close(589); close(588)
|
||||
|
||||
endif
|
||||
enddo ! end looping over steps in current loadcase
|
||||
enddo ! end looping over loadcases
|
||||
close(539)
|
||||
|
|
|
|||
|
|
@ -44,9 +44,11 @@ real(pReal) relevantStrain, & ! strain
|
|||
maxdRelax_RGC, & ! threshold of maximum relaxation vector increment (if exceed this then cutback)
|
||||
maxVolDiscr_RGC, & ! threshold of maximum volume discrepancy allowed
|
||||
volDiscrMod_RGC, & ! stiffness of RGC volume discrepancy (zero = without volume discrepancy constraint)
|
||||
volDiscrPow_RGC ! powerlaw penalty for volume discrepancy
|
||||
volDiscrPow_RGC, & ! powerlaw penalty for volume discrepancy
|
||||
!* spectral parameters:
|
||||
rTol_defgradAvg ! relative tolerance for correction to deformation gradient aim
|
||||
|
||||
!* Random seeding parameters: added <<<updated 27.08.2009>>>
|
||||
!* Random seeding parameters: added <<<updated 27.08.2009>>>
|
||||
integer(pInt) fixedSeed ! fixed seeding for pseudo-random number generator
|
||||
|
||||
CONTAINS
|
||||
|
|
@ -125,7 +127,10 @@ subroutine numerics_init()
|
|||
maxVolDiscr_RGC = 1.0e-5 ! tolerance for volume discrepancy allowed
|
||||
volDiscrMod_RGC = 1.0e+12
|
||||
volDiscrPow_RGC = 5.0
|
||||
|
||||
|
||||
!* spectral parameters:
|
||||
rTol_defgradAvg = 1.0e-6
|
||||
|
||||
!* Random seeding parameters: added <<<updated 27.08.2009>>>
|
||||
fixedSeed = 0_pInt
|
||||
|
||||
|
|
@ -218,6 +223,10 @@ subroutine numerics_init()
|
|||
case ('discrepancypower_rgc')
|
||||
volDiscrPow_RGC = IO_floatValue(line,positions,2)
|
||||
|
||||
!* spectral parameters
|
||||
case ('rTol_defgradAvg')
|
||||
rTol_defgradAvg = IO_floatValue(line,positions,2)
|
||||
|
||||
!* Random seeding parameters: added <<<updated 27.08.2009>>>
|
||||
case ('fixed_seed')
|
||||
fixedSeed = IO_floatValue(line,positions,2)
|
||||
|
|
@ -261,7 +270,7 @@ subroutine numerics_init()
|
|||
write(6,'(a24,x,i8)') 'nMPstate: ',nMPstate
|
||||
write(6,*)
|
||||
|
||||
!* RGC parameters: added <<<updated 17.12.2009>>>
|
||||
!* RGC parameters
|
||||
write(6,'(a24,x,e8.1)') 'aTol_RGC: ',absTol_RGC
|
||||
write(6,'(a24,x,e8.1)') 'rTol_RGC: ',relTol_RGC
|
||||
write(6,'(a24,x,e8.1)') 'aMax_RGC: ',absMax_RGC
|
||||
|
|
@ -274,10 +283,14 @@ subroutine numerics_init()
|
|||
write(6,'(a24,x,e8.1)') 'maxVolDiscrepancy_RGC: ',maxVolDiscr_RGC
|
||||
write(6,'(a24,x,e8.1)') 'volDiscrepancyMod_RGC: ',volDiscrMod_RGC
|
||||
write(6,'(a24,x,e8.1)') 'discrepancyPower_RGC: ',volDiscrPow_RGC
|
||||
write(6,*)
|
||||
|
||||
!* spectral parameters
|
||||
write(6,'(a24,x,e8.1)') 'rTol_defgradAvg: ',rTol_defgradAvg
|
||||
|
||||
write(6,*)
|
||||
|
||||
!* Random seeding parameters: added <<<updated 27.08.2009>>>
|
||||
!* Random seeding parameters
|
||||
write(6,'(a24,x,i8)') 'fixed_seed: ',fixedSeed
|
||||
write(6,*)
|
||||
|
||||
|
|
@ -323,7 +336,10 @@ subroutine numerics_init()
|
|||
if (maxVolDiscr_RGC <= 0.0_pReal) call IO_error(289)
|
||||
if (volDiscrMod_RGC < 0.0_pReal) call IO_error(289)
|
||||
if (volDiscrPow_RGC <= 0.0_pReal) call IO_error(289)
|
||||
|
||||
|
||||
!* spectral parameters
|
||||
if (rTol_defgradAvg <= 0.0_pReal) call IO_error(48)
|
||||
|
||||
if (fixedSeed <= 0_pInt) write(6,'(a)') 'Random is random!'
|
||||
endsubroutine
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue