added functions math_mul33x3_complex math_Plain99to3333 to math.f90.
mpie_spectral.f90 uses both functions math_Plain99to3333 is used for inversion of c0 math_mul33x3_complex is used for equilibrium check in fourier space also did some cleaning up on mpie_spectral.f90
This commit is contained in:
Martin Diehl
parent
80618c9814
commit
6ea8623f65
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@ -342,7 +342,7 @@ real(pReal), dimension(4,36), parameter :: math_symOperations = &
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real(pReal), dimension(dimen,dimen,dimen,dimen) :: math_identity4th
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real(pReal), dimension(dimen,dimen,dimen,dimen) :: math_identity4th
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forall (i=1:dimen,j=1:dimen,k=1:dimen,l=1:dimen) math_identity4th(i,j,k,l) = &
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forall (i=1:dimen,j=1:dimen,k=1:dimen,l=1:dimen) math_identity4th(i,j,k,l) = &
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0.5_pReal*(math_I3(i,k)*math_I3(j,k)+math_I3(i,l)*math_I3(j,k))
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0.5_pReal*(math_I3(i,k)*math_I3(j,k)+math_I3(i,l)*math_I3(j,k))
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return
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return
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endfunction
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endfunction
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@ -508,6 +508,24 @@ real(pReal), dimension(4,36), parameter :: math_symOperations = &
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return
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return
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endfunction
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endfunction
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!**************************************************************************
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! matrix multiplication complex(33) x real(3) = complex(3)
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!**************************************************************************
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pure function math_mul33x3_complex(A,B)
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use prec, only: pReal, pInt
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implicit none
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integer(pInt) i
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complex(pReal), dimension(3,3), intent(in) :: A
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real(pReal), dimension(3), intent(in) :: B
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complex(pReal), dimension(3) :: math_mul33x3_complex
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forall (i=1:3) math_mul33x3_complex(i) = A(i,1)*B(1) + A(i,2)*B(2) + A(i,3)*B(3)
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return
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endfunction
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!**************************************************************************
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!**************************************************************************
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@ -1164,8 +1182,24 @@ pure function math_transpose3x3(A)
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return
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return
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endfunction
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endfunction
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!********************************************************************
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! plain matrix 9x9 into 3x3x3x3 tensor
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!********************************************************************
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pure function math_Plain99to3333(m99)
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use prec, only: pReal,pInt
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implicit none
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real(pReal), dimension(9,9), intent(in) :: m99
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real(pReal), dimension(3,3,3,3) :: math_Plain99to3333
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integer(pInt) i,j
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forall (i=1:9,j=1:9) math_Plain99to3333(mapPlain(1,i),mapPlain(2,i),&
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mapPlain(1,j),mapPlain(2,j)) = m99(i,j)
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return
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endfunction
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!********************************************************************
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!********************************************************************
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! convert symmetric 3x3x3x3 tensor into Mandel matrix 6x6
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! convert symmetric 3x3x3x3 tensor into Mandel matrix 6x6
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@ -33,62 +33,61 @@ program mpie_spectral
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implicit none
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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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include 'fftw3.f' !header file for fftw3 (declaring variables). Library file is also needed
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!variables to read in from loadcase and mesh file
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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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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), 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), dimension (1+maxNchunksInput*2) :: posInput
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integer(pInt), parameter :: maxNchunksMesh = 7 ! 4 identifiers, 3 values
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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), 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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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 gotResolution,gotDimension,gotHomogenization
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logical, dimension(9) :: bc_maskvector
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logical, dimension(9) :: bc_maskvector
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character(len=1024) path, line
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! variables storing information from loadcase file
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! variables storing information from loadcase file
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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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real(pReal) timeinc
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real(pReal) timeinc
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real(pReal), dimension (:,:,:), allocatable :: bc_velocityGrad, &
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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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bc_stress ! velocity gradient and stress BC
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real(pReal), dimension(:), allocatable :: bc_timeIncrement ! length of increment
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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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logical, dimension(:,:,:,:), allocatable :: bc_mask ! mask of boundary conditions
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! variables storing information from mesh file
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! variables storing information from mesh file
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integer(pInt) homog, prodnn
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real(pReal) wgt
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real(pReal) wgt
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integer(pInt), dimension(3) :: resolution
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real(pReal), dimension(3) :: meshdimension
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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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! stress etc.
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real(pReal), dimension(6) :: cstress ! cauchy stress in Mandel notation (not needed)
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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) :: pstress ! Piola-Kirchhoff stress in Matrix notation
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real(pReal), dimension(3,3,3,3) :: dPdF, c0, s0
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real(pReal), dimension(3,3,3,3) :: dPdF, c0, s0 ! ??, reference stiffnes, compliance
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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, s066
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real(pReal), dimension(6,6) :: dsde
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real(pReal), dimension(3,3) :: defgradmacro
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real(pReal), dimension(9,9) :: s099
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real(pReal), dimension(3,3) :: pstress_av, defgrad_av, temp33_Real
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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
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real(pReal), dimension(:,:,:), allocatable :: ddefgrad
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! variables storing information for spectral method
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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(:,:,:,:,:), allocatable :: workfft
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complex(pReal), dimension(3,3) :: temp33_Complex
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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 :: gamma_hat
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real(pReal), dimension(:,:,:,:,:), allocatable :: xknormdyad
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real(pReal), dimension(:,:,:,:,:), allocatable :: xinormdyad
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real(pReal), dimension(:,:,:,:), allocatable :: xi
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real(pReal), dimension(:,:,:,:), allocatable :: xi
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integer(pInt), dimension(3) :: k_s
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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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integer*8, dimension(2,3,3) :: plan_fft
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! convergency etc.
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! convergency etc.
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logical errmatinv
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real(pReal) error, err_div, sigma0
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integer(pInt) itmax, ierr
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integer(pInt) itmax, ierr
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real(pReal) error, err_div, sigma0
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logical errmatinv
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! loop variables etc.
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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) 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
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real(pReal) guessmode ! flip-flop to guess defgrad fluctuation field evolution
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real(pReal) temperature ! not used, but needed
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real(pReal) temperature ! not used, but needed
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!gmsh output
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!gmsh output
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character(len=1024) :: nriter
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character(len=1024) :: nriter
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@ -115,7 +114,7 @@ program mpie_spectral
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gotResolution =.false.; gotDimension =.false.; gotHomogenization = .false.
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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 arguments given
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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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! Reading the loadcase file and assign variables
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path = getLoadcaseName()
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path = getLoadcaseName()
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@ -213,32 +212,32 @@ program mpie_spectral
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select case ( IO_lc(IO_StringValue(line,posMesh,1)) )
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select case ( IO_lc(IO_StringValue(line,posMesh,1)) )
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case ('dimension')
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case ('dimension')
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gotDimension = .true.
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gotDimension = .true.
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do i = 2,6,2
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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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select case (IO_lc(IO_stringValue(line,posMesh,i)))
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case('x')
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case('x')
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meshdimension(1) = IO_floatValue(line,posMesh,i+1)
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meshdimension(1) = IO_floatValue(line,posMesh,i+1)
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case('y')
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case('y')
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meshdimension(2) = IO_floatValue(line,posMesh,i+1)
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meshdimension(2) = IO_floatValue(line,posMesh,i+1)
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case('z')
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case('z')
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meshdimension(3) = IO_floatValue(line,posMesh,i+1)
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meshdimension(3) = IO_floatValue(line,posMesh,i+1)
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end select
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end select
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enddo
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enddo
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case ('homogenization')
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case ('homogenization')
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gotHomogenization = .true.
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gotHomogenization = .true.
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homog = IO_intValue(line,posMesh,2)
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homog = IO_intValue(line,posMesh,2)
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case ('resolution')
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case ('resolution')
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gotResolution = .true.
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gotResolution = .true.
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do i = 2,6,2
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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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select case (IO_lc(IO_stringValue(line,posMesh,i)))
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case('a')
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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) = 2**IO_intValue(line,posMesh,i+1)
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case('b')
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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) = 2**IO_intValue(line,posMesh,i+1)
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case('c')
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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) = 2**IO_intValue(line,posMesh,i+1)
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end select
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end select
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enddo
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enddo
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end select
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end select
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if (gotDimension .and. gotHomogenization .and. gotResolution) exit
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if (gotDimension .and. gotHomogenization .and. gotResolution) exit
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enddo
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enddo
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@ -251,14 +250,15 @@ program mpie_spectral
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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 (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 (gamma_hat(resolution(1)/2+1,resolution(2),resolution(3),3,3,3,3)); gamma_hat = 0.0_pReal
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allocate (xknormdyad(resolution(1)/2+1,resolution(2),resolution(3),3,3)); xknormdyad = 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 (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 (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 (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 (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 (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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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_init_threads(ierr)
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call dfftw_plan_with_nthreads(4)
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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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do m = 1,3; do n = 1,3
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@ -272,15 +272,16 @@ program mpie_spectral
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wgt = 1_pReal/real(prodnn, pReal)
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wgt = 1_pReal/real(prodnn, pReal)
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defgradmacro = math_I3
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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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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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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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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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defgrad(i,j,k,:,:) = math_I3
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ielem = ielem +1
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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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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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enddo; enddo; enddo
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!calculation of xknormdyad (needed to calculate gamma_hat) and xi (waves, needed for proof of equilibrium)
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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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do k = 1, resolution(3)
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k_s(3) = k-1
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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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if(k > resolution(3)/2+1) k_s(3) = k_s(3)-resolution(3)
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@ -289,14 +290,14 @@ program mpie_spectral
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if(j > resolution(2)/2+1) k_s(2) = k_s(2)-resolution(2)
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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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do i = 1, resolution(1)/2+1
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k_s(1) = i-1
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k_s(1) = i-1
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xi(i,j,k,3) = .0_pReal
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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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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,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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xi(i,j,k,1) = real(k_s(1), pReal)/meshdimension(1)
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if (any(xi(i,j,k,:) /= .0_pReal)) then
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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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do l = 1,3; do m = 1,3
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xknormdyad(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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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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enddo; enddo
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endif
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endif
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@ -312,23 +313,23 @@ program mpie_spectral
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!*************************************************************
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!*************************************************************
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timeinc = bc_timeIncrement(loadcase)/bc_steps(loadcase)
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timeinc = bc_timeIncrement(loadcase)/bc_steps(loadcase)
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guessmode = 0.0_pReal ! change of load case
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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
|
! loop oper steps defined in input file for current loadcase
|
||||||
do steps = 1, bc_steps(loadcase)
|
do steps = 1, bc_steps(loadcase)
|
||||||
!*************************************************************
|
!*************************************************************
|
||||||
defgradmacro = defgradmacro&
|
defgradmacro = defgradmacro& ! update macroscopic displacement gradient (BC of defgrad)
|
||||||
+ math_mul33x33(bc_velocityGrad(:,:,loadcase), defgradmacro)*timeinc !update macroscopic displacement gradient (stores the desired BCs of defgrad)
|
+ math_mul33x33(bc_velocityGrad(:,:,loadcase), defgradmacro)*timeinc
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
temp33_Real = defgrad(i,j,k,:,:)
|
temp33_Real = defgrad(i,j,k,:,:)
|
||||||
defgrad(i,j,k,:,:) = defgrad(i,j,k,:,:)&
|
defgrad(i,j,k,:,:) = defgrad(i,j,k,:,:)& ! old fluctuations as guess for new step, no fluctuations for new loadcase
|
||||||
+ guessmode * (defgrad(i,j,k,:,:) - defgradold(i,j,k,:,:))& ! old fluctuations as guess for new step
|
+ guessmode * (defgrad(i,j,k,:,:) - defgradold(i,j,k,:,:))&
|
||||||
+ (1.0_pReal-guessmode) * math_mul33x33(bc_velocityGrad(:,:,loadcase),defgradold(i,j,k,:,:))*timeinc ! no fluctuations for new loadcase
|
+ (1.0_pReal-guessmode) * math_mul33x33(bc_velocityGrad(:,:,loadcase),defgradold(i,j,k,:,:))*timeinc
|
||||||
defgradold(i,j,k,:,:) = temp33_Real
|
defgradold(i,j,k,:,:) = temp33_Real
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
|
|
||||||
guessmode = 1_pReal ! keep guessing along former trajectory
|
guessmode = 1_pReal ! keep guessing along former trajectory during same loadcase
|
||||||
calcmode = 1_pInt
|
calcmode = 1_pInt
|
||||||
iter = 0_pInt
|
iter = 0_pInt
|
||||||
err_div= 2_pInt * error
|
err_div= 2_pInt * error
|
||||||
|
|
@ -339,9 +340,10 @@ program mpie_spectral
|
||||||
iter = iter + 1
|
iter = iter + 1
|
||||||
print '(A,I5.5,tr2,A,I5.5)', ' Step = ',steps,'Iteration = ',iter
|
print '(A,I5.5,tr2,A,I5.5)', ' Step = ',steps,'Iteration = ',iter
|
||||||
!*************************************************************
|
!*************************************************************
|
||||||
err_div = .0_pReal; sigma0 = .0_pReal
|
err_div = 0.0_pReal; sigma0 = 0.0_pReal
|
||||||
pstress_av = .0_pReal; defgrad_av=.0_pReal
|
pstress_av = 0.0_pReal; defgrad_av = 0.0_pReal
|
||||||
|
|
||||||
|
! Calculate stress field for current deformation gradient using CPFEM_general
|
||||||
print *, 'Update Stress Field'
|
print *, 'Update Stress Field'
|
||||||
ielem = 0_pInt
|
ielem = 0_pInt
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
|
|
@ -351,7 +353,7 @@ program mpie_spectral
|
||||||
cstress,dsde, pstress, dPdF)
|
cstress,dsde, pstress, dPdF)
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
|
|
||||||
c0 = .0_pReal
|
c0 = 0.0_pReal
|
||||||
ielem = 0_pInt
|
ielem = 0_pInt
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
ielem = ielem + 1
|
ielem = ielem + 1
|
||||||
|
|
@ -364,34 +366,35 @@ program mpie_spectral
|
||||||
pstress_field(i,j,k,:,:) = pstress
|
pstress_field(i,j,k,:,:) = pstress
|
||||||
pstress_av = pstress_av + pstress ! average stress
|
pstress_av = pstress_av + pstress ! average stress
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
|
|
||||||
pstress_av = pstress_av*wgt ! do the weighting of average stress
|
pstress_av = pstress_av*wgt ! do the weighting of average stress
|
||||||
|
|
||||||
if(iter==1) then !update gamma_hat with new reference stiffness
|
! Update gamma_hat with new reference stiffness and calculate new average compliance (for stress BC)
|
||||||
call math_invert(6,math_mandel3333to66(c0),s066,i,errmatinv) !i is just a dummy variable
|
if(iter==1) then
|
||||||
|
call math_invert(9, math_plain3333to99(c0),s099,i, errmatinv)
|
||||||
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)
|
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)
|
||||||
s0 = math_mandel66to3333(s066)*real(prodnn, pReal)
|
s0 = math_plain99to3333(s099) * real(prodnn, pReal)
|
||||||
c0 = c0 *wgt
|
c0 = c0 * wgt
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
||||||
temp33_Real = .0_pReal
|
temp33_Real = 0.0_pReal
|
||||||
do l = 1,3; do m = 1,3; do n = 1,3; do p = 1,3
|
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)
|
temp33_Real(l,m) = temp33_Real(l,m) + c0(l,n,m,p) * xinormdyad(i,j,k, n,p)
|
||||||
enddo; enddo; enddo; enddo
|
enddo; enddo; enddo; enddo
|
||||||
temp33_Real = math_inv3x3(temp33_Real)
|
temp33_Real = math_inv3x3(temp33_Real)
|
||||||
do l=1,3; do m=1,3; do n=1,3; do p=1,3
|
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)
|
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; enddo
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
endif
|
endif
|
||||||
|
|
||||||
|
! Using the spectral method to calculate the change of deformation gradient, check divergence of stress field in fourier space
|
||||||
print *, 'Update Deformation Gradient Field'
|
print *, 'Update Deformation Gradient Field'
|
||||||
do m = 1,3; do n = 1,3
|
do m = 1,3; do n = 1,3
|
||||||
call dfftw_execute_dft_r2c(plan_fft(1,m,n), pstress_field(:,:,:,m,n),workfft(:,:,:,m,n))
|
call dfftw_execute_dft_r2c(plan_fft(1,m,n), pstress_field(:,:,:,m,n),workfft(:,:,:,m,n))
|
||||||
if(n == 3) sigma0 = max(sigma0, sum(abs(real(workfft(1,1,1,m,:))))) ! L infinity Norm of stress tensor in Fourier space
|
if(n == 3) sigma0 = max(sigma0, sum(abs(real(workfft(1,1,1,m,:))))) ! L infinity Norm of stress tensor
|
||||||
enddo; enddo
|
enddo; enddo
|
||||||
|
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)/2+1
|
||||||
err_div = err_div + (maxval(abs(math_mul33x3c(workfft(i,j,k,:,:),xi(i,j,k,:))))) ! L infinity Norm of div(stress tensor) in Fourier space
|
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_pReal
|
temp33_Complex = .0_pReal
|
||||||
do m = 1,3; do n = 1,3
|
do m = 1,3; do n = 1,3
|
||||||
temp33_Complex(m,n) = sum(gamma_hat(i,j,k,m,n,:,:) * workfft(i,j,k,:,:))
|
temp33_Complex(m,n) = sum(gamma_hat(i,j,k,m,n,:,:) * workfft(i,j,k,:,:))
|
||||||
|
|
@ -399,7 +402,7 @@ program mpie_spectral
|
||||||
workfft(i,j,k,:,:) = temp33_Complex(:,:)
|
workfft(i,j,k,:,:) = temp33_Complex(:,:)
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
|
|
||||||
err_div = err_div/(real(prodnn/resolution(1)*(resolution(1)/2+1)))/sigma0 !calculate error (divergence of stress field)
|
err_div = err_div/(real(prodnn/resolution(1)*(resolution(1)/2+1)))/sigma0 !weighting of error
|
||||||
|
|
||||||
do m = 1,3; do n = 1,3
|
do m = 1,3; do n = 1,3
|
||||||
call dfftw_execute_dft_c2r(plan_fft(2,m,n), workfft(:,:,:,m,n),ddefgrad(:,:,:))
|
call dfftw_execute_dft_c2r(plan_fft(2,m,n), workfft(:,:,:,m,n),ddefgrad(:,:,:))
|
||||||
|
|
@ -422,7 +425,7 @@ program mpie_spectral
|
||||||
enddo; enddo
|
enddo; enddo
|
||||||
|
|
||||||
print '(2(a,E8.2))', ' Error = ',err_div,' Criteria = ', error
|
print '(2(a,E8.2))', ' Error = ',err_div,' Criteria = ', error
|
||||||
print '(A)', '----------------------------------'
|
print '(A)', '---------------------------------------'
|
||||||
|
|
||||||
enddo ! end looping when convergency is achieved
|
enddo ! end looping when convergency is achieved
|
||||||
|
|
||||||
|
|
@ -436,9 +439,9 @@ program mpie_spectral
|
||||||
print '(A,3(E10.4,tr2))', ' ', pstress_av(3,:)
|
print '(A,3(E10.4,tr2))', ' ', pstress_av(3,:)
|
||||||
print '(A)', '************************************************************'
|
print '(A)', '************************************************************'
|
||||||
|
|
||||||
!gsmh output
|
! Postprocessing (gsmh output)
|
||||||
temp33_Real(1,:) = 0.0_pReal
|
temp33_Real(1,:) = 0.0_pReal; temp33_Real(1,3) = -(real(resolution(3))/meshdimension(3)) ! start just below origin
|
||||||
temp33_Real(1,3) = -1.0_pReal
|
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
if((j==1).and.(i==1)) then
|
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(1,:) = temp33_Real(1,:) + math_mul33x3(defgrad(i,j,k,:,:),(/0.0_pReal,0.0_pReal,(real(resolution(3))/meshdimension(3))/))
|
||||||
|
|
@ -456,59 +459,45 @@ program mpie_spectral
|
||||||
endif
|
endif
|
||||||
endif
|
endif
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
write(nriter, *) iter
|
|
||||||
write(nrstep, *) steps
|
write(nriter, *) iter; write(nrstep, *) steps
|
||||||
nrstep = 'stress'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh'
|
open(589,file = 'stress' //trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh')
|
||||||
open(589,file = nrstep)
|
open(588,file = 'disgrad'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh')
|
||||||
write(589, '(A, /, A, /, A, /, A, /, I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
write(589, '(4(A, /), I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
||||||
|
write(588, '(4(A, /), I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
||||||
|
|
||||||
ielem = 0_pInt
|
ielem = 0_pInt
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
ielem = ielem + 1
|
ielem = ielem + 1
|
||||||
write(589, '(I10,tr2,E12.6,tr2,E12.6,tr2,E12.6)'), ielem, displacement(i,j,k,:) !real(i), real(j), real(k)
|
write(589, '(I10, 3(tr2, E12.6))'), ielem, displacement(i,j,k,:)
|
||||||
|
write(588, '(I10, 3(tr2, E12.6))'), ielem, displacement(i,j,k,:)
|
||||||
enddo; enddo; enddo
|
enddo; enddo; enddo
|
||||||
write(589, '(A, /, A, /, I10)'), '$EndNodes', '$Elements', prodnn
|
|
||||||
|
write(589, '(2(A, /), I10)'), '$EndNodes', '$Elements', prodnn
|
||||||
|
write(588, '(2(A, /), I10)'), '$EndNodes', '$Elements', prodnn
|
||||||
|
|
||||||
do i = 1, prodnn
|
do i = 1, prodnn
|
||||||
write(589, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
write(589, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
||||||
|
write(588, '(I10, A, I10)'), i, ' 15 2 1 2', i
|
||||||
enddo
|
enddo
|
||||||
|
|
||||||
write(589, '(A)'), '$EndElements'
|
write(589, '(A)'), '$EndElements'
|
||||||
write(589, '(A, /, A, /, A, /, A, /, A, /, A, /, A, /, A, /, I10)'), '$NodeData', '1',&
|
write(588, '(A)'), '$EndElements'
|
||||||
'"'//trim(adjustl(nrstep))//'"', '1','0.0', '3', '0', '9', prodnn
|
write(589, '(8(A, /), I10)'), '$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)'), '$NodeData', '1','"'//trim(adjustl('disgrad'//trim(adjustl(nrstep))//&
|
||||||
|
'-'//trim(adjustl(nriter))//'_cpfem.msh'))//'"','1','0.0', '3', '0', '9', prodnn
|
||||||
|
|
||||||
ielem = 0_pInt
|
ielem = 0_pInt
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
||||||
ielem = ielem + 1
|
ielem = ielem + 1
|
||||||
write(589, '(i10,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,&
|
write(589, '(i10, 9(tr2, E12.6))'), ielem, pstress_field(i,j,k,:,:)
|
||||||
tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2)'), ielem, pstress_field(i,j,k,:,:)
|
write(588, '(i10, 9(tr2, E12.6))'), ielem, defgrad(i,j,k,:,:) - math_I3
|
||||||
|
enddo; enddo; enddo
|
||||||
|
|
||||||
enddo; enddo; enddo
|
|
||||||
write(nriter, *) iter
|
|
||||||
write(nrstep, *) steps
|
|
||||||
write(589, *), '$EndNodeData'
|
write(589, *), '$EndNodeData'
|
||||||
close(589)
|
write(588, *), '$EndNodeData'
|
||||||
nrstep = 'defgrad'//trim(adjustl(nrstep))//'-'//trim(adjustl(nriter))//'_cpfem.msh'
|
close(589); close(588)
|
||||||
open(589,file = nrstep)
|
|
||||||
write(589, '(A, /, A, /, A, /, A, /, I10)'), '$MeshFormat', '2.1 0 8', '$EndMeshFormat', '$Nodes', prodnn
|
|
||||||
ielem = 0_pInt
|
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
||||||
ielem = ielem + 1
|
|
||||||
write(589, '(I10,tr2,E12.6,tr2,E12.6,tr2,E12.6)'), ielem, displacement(i,j,k,:) !real(i), real(j), real(k)
|
|
||||||
enddo; enddo; enddo
|
|
||||||
write(589, '(A, /, A, /, I10)'), '$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)'), '$NodeData', '1',&
|
|
||||||
'"'//trim(adjustl(nrstep))//'"', '1','0.0', '3', '0', '9', prodnn
|
|
||||||
ielem = 0_pInt
|
|
||||||
do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
|
|
||||||
ielem = ielem + 1
|
|
||||||
write(589, '(i10,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2,E12.6,&
|
|
||||||
tr2,E12.6,tr2,E12.6,tr2,E12.6,tr2)'), ielem, defgrad(i,j,k,:,:) - math_I3
|
|
||||||
|
|
||||||
enddo; enddo; enddo
|
|
||||||
write(589, *), '$EndNodeData'
|
|
||||||
close(589)
|
|
||||||
!end gmsh
|
|
||||||
|
|
||||||
enddo ! end looping over steps in current loadcase
|
enddo ! end looping over steps in current loadcase
|
||||||
enddo ! end looping over loadcases
|
enddo ! end looping over loadcases
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue