From fb121b143538bdd6fa7719d457e300957562f6e2 Mon Sep 17 00:00:00 2001 From: Christoph Kords Date: Fri, 29 Jul 2011 15:57:39 +0000 Subject: [PATCH] * boundary condition masking changed * damper initialized with one * inversion of Mandelized stiffness tensor does not work, have to use plain tensor * new functions in math that allow for conversion between Mandel and Plain tensors --- code/DAMASK_spectral.f90 | 30 ++++++++++----------- code/math.f90 | 58 ++++++++++++++++++++++++++++++++++++++++ 2 files changed, 72 insertions(+), 16 deletions(-) diff --git a/code/DAMASK_spectral.f90 b/code/DAMASK_spectral.f90 index d08b1ac1a..49dcba174 100644 --- a/code/DAMASK_spectral.f90 +++ b/code/DAMASK_spectral.f90 @@ -50,7 +50,7 @@ program DAMASK_spectral use mesh, only: mesh_ipCenterOfGravity use CPFEM, only: CPFEM_general, CPFEM_initAll use numerics, only: err_div_tol, err_stress_tol, err_stress_tolrel, err_defgrad_tol,& - itmax, memory_efficient, DAMASK_NumThreadsInt + relevantStrain,itmax, memory_efficient, DAMASK_NumThreadsInt use homogenization, only: materialpoint_sizeResults, materialpoint_results !$ use OMP_LIB ! the openMP function library @@ -93,7 +93,6 @@ program DAMASK_spectral defgradAim, defgradAimOld, defgradAimCorr, defgradAimCorrPrev,& mask_stress, mask_defgrad, deltaF real(pReal), dimension(3,3,3,3) :: dPdF, c0, s0 !, c0_temp ! ToDo -!real(pReal), dimension(9,9) :: s099 ! compliance in matrix notation real(pReal), dimension(6) :: cstress ! cauchy stress in Mandel notation real(pReal), dimension(6,6) :: dsde, c066, s066 ! Mandel notation of 4th order tensors real(pReal), dimension(:,:,:,:,:), allocatable :: workfft, defgrad, defgradold @@ -259,8 +258,8 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check print '(a,i5)', 'Loadcase:', loadcase if (.not. followFormerTrajectory(loadcase)) & print '(a)', 'drop guessing along trajectory' - if (any(bc_mask(:,:,1,loadcase) == bc_mask(:,:,2,loadcase)))& - call IO_error(31,loadcase) ! exclusive or masking only + if (any(bc_mask(:,:,1,loadcase) .and. bc_mask(:,:,2,loadcase)))& ! check whther stress and strain is prescribed simultaneously + call IO_error(31,loadcase) if (velGradApplied(loadcase)) then do j = 1, 3 if (any(bc_mask(j,:,1,loadcase) == .true.) .and.& @@ -272,7 +271,7 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check print '(a,/,3(3(f12.6,x)/))','Fdot:' ,math_transpose3x3(bc_deformation(:,:,loadcase)) print '(a,/,3(3(l,x)/))', 'bc_mask for Fdot:',transpose(bc_mask(:,:,1,loadcase)) endif - print '(a,/,3(3(f12.6,x)/))','bc_stress:',math_transpose3x3(bc_stress(:,:,loadcase)) + print '(a,/,3(3(f12.6,x)/))','bc_stress/MPa:',math_transpose3x3(bc_stress(:,:,loadcase))*1e-6 print '(a,/,3(3(l,x)/))', 'bc_mask for stress:' ,transpose(bc_mask(:,:,2,loadcase)) if (bc_timeIncrement(loadcase) < 0.0_pReal) call IO_error(34,loadcase) ! negative time increment print '(a,f12.6)','time: ',bc_timeIncrement(loadcase) @@ -365,9 +364,9 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check enddo; enddo; enddo c066 = c066 * wgt c0 = math_mandel66to3333(c066) ! linear reference material stiffness - call math_invert(6, c066, s066,i, errmatinv) ! ToDo + call math_invert(6, math_Mandel66toPlain66(c066), s066,i, errmatinv) ! ToDo if(errmatinv) call IO_error(800) ! Matrix inversion error ToDo - s0 = math_mandel66to3333(s066) ! ToDo + s0 = math_mandel66to3333(math_Plain66toMandel66(s066)) ! ToDo do k = 1, resolution(3) ! calculation of discrete angular frequencies, ordered as in FFTW (wrap around) k_s(3) = k-1 @@ -464,7 +463,7 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check guessmode = 1.0_pReal else guessmode = 0.0_pReal ! change of load case, homogeneous guess for the first step - damper = ones/10 + damper = 1.0_pReal endif mask_defgrad = merge(ones,zeroes,bc_mask(:,:,1,loadcase)) @@ -525,7 +524,6 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check iter = 0_pInt err_div= 2.0_pReal * err_div_tol ! go into loop defgradAimCorr = 0.0_pReal ! reset damping calculation - damper = damper * 0.9_pReal !************************************************************* ! convergence loop @@ -568,7 +566,6 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check workfft(i,j,k,:,:) = pstress ! build up average P-K stress cstress_av = cstress_av + math_mandel6to33(cstress) ! build up average Cauchy stress enddo; enddo; enddo - ! call math_invert(9, math_plain3333to99(c0_temp),s099,i,errmatinv) ToDo ! if(errmatinv) call IO_error(800,ext_msg = "problem in c0 inversion") ToDo ! s0 = math_plain99to3333(s099) *real(resolution(1)*resolution(2)*resolution(3), pReal) ! average s0 for calculation of BC ToDo @@ -580,20 +577,21 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check enddo; enddo err_stress = maxval(abs(mask_stress * (pstress_av - bc_stress(:,:,loadcase)))) - err_stress_tol = maxval(abs(pstress_av))*err_stress_tolrel + err_stress_tol = maxval(abs(pstress_av))*0.8*err_stress_tolrel print*, 'Correcting deformation gradient to fullfill BCs' defgradAimCorrPrev = defgradAimCorr - defgradAimCorr = -mask_stress * math_mul3333xx33(s0, (mask_stress*(pstress_av - bc_stress(:,:,loadcase)))) + defgradAimCorr = - (1.0_pReal - mask_defgrad) & ! allow alteration of all non-fixed defgrad components + * math_mul3333xx33(s0, (mask_stress*(pstress_av - bc_stress(:,:,loadcase)))) ! residual on given stress components do m=1,3; do n =1,3 ! calculate damper (correction is far too strong) !ToDo: Check for better values - if ( sign(1.0_pReal,defgradAimCorr(m,n))/=sign(1.0_pReal,defgradAimCorrPrev(m,n))) then + if (defgradAimCorr(m,n) * defgradAimCorrPrev(m,n) < -relevantStrain ** 2.0_pReal) then ! insignificant within relevantstrain around zero damper(m,n) = max(0.01_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) + defgradAimCorr = damper * defgradAimCorr defgradAim = defgradAim + defgradAimCorr do m = 1,3; do n = 1,3 @@ -603,9 +601,9 @@ if ((N_l + N_Fdot /= N_n).or.(N_n /= N_t)) & ! sanity check err_defgrad = maxval(abs(mask_defgrad * (defgrad_av - defgradAim))) print '(a,/,3(3(f12.7,x)/))', ' Deformation Gradient:',math_transpose3x3(defgrad_av) print '(a,/,3(3(f10.4,x)/))', ' Piola-Kirchhoff Stress / MPa: ',math_transpose3x3(pstress_av)/1.e6 - print '(2(a,E8.2))', ' error stress: ',err_stress, ' Tol. = ', err_stress_tol*0.8 + print '(2(a,E8.2))', ' error stress: ',err_stress, ' Tol. = ', err_stress_tol print '(2(a,E8.2))', ' error deformation gradient: ',err_defgrad,' Tol. = ', err_defgrad_tol - if(err_stress < err_stress_tol*0.8) then + if(err_stress < err_stress_tol) then calcmode = 1_pInt endif diff --git a/code/math.f90 b/code/math.f90 index 902c0dccd..1023ed047 100644 --- a/code/math.f90 +++ b/code/math.f90 @@ -1121,6 +1121,7 @@ pure function math_transpose3x3(A) endfunction + !******************************************************************** ! determinant of a 3x3 matrix !******************************************************************** @@ -1140,6 +1141,22 @@ pure function math_transpose3x3(A) endfunction +!******************************************************************** +! norm of a 3x3 matrix +!******************************************************************** + pure function math_norm33(m) + + use prec, only: pReal,pInt + implicit none + + real(pReal), dimension(3,3), intent(in) :: m + real(pReal) math_norm33 + + math_norm33 = sqrt(sum(m**2.0_pReal)) + + endfunction + + !******************************************************************** ! euclidic norm of a 3x1 vector !******************************************************************** @@ -1268,6 +1285,47 @@ pure function math_transpose3x3(A) endfunction + +!******************************************************************** +! convert Mandel matrix 6x6 into Plain matrix 6x6 +!******************************************************************** + pure function math_Mandel66toPlain66(m66) + + use prec, only: pReal,pInt + implicit none + + real(pReal), dimension(6,6), intent(in) :: m66 + real(pReal), dimension(6,6) :: math_Mandel66toPlain66 + integer(pInt) i,j + + forall (i=1:6,j=1:6) & + math_Mandel66toPlain66(i,j) = invnrmMandel(i) * invnrmMandel(j) * m66(i,j) + return + + endfunction + + + +!******************************************************************** +! convert Plain matrix 6x6 into Mandel matrix 6x6 +!******************************************************************** + pure function math_Plain66toMandel66(m66) + + use prec, only: pReal,pInt + implicit none + + real(pReal), dimension(6,6), intent(in) :: m66 + real(pReal), dimension(6,6) :: math_Plain66toMandel66 + integer(pInt) i,j + + forall (i=1:6,j=1:6) & + math_Plain66toMandel66(i,j) = nrmMandel(i) * nrmMandel(j) * m66(i,j) + return + + endfunction + + + !******************************************************************** ! convert symmetric 3x3x3x3 tensor into Mandel matrix 6x6 !********************************************************************