changed calculation to small strain/cauchy stress
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@ -260,7 +260,7 @@ program mpie_spectral
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allocate (gamma_hat(resolution(1),resolution(2),resolution(3),3,3,3,3)); gamma_hat = 0.0_pReal
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allocate (gamma_hat(resolution(1),resolution(2),resolution(3),3,3,3,3)); gamma_hat = 0.0_pReal
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allocate (xi(resolution(1),resolution(2),resolution(3),3)); xi = 0.0_pReal
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allocate (xi(resolution(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 (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 (tau(resolution(1),resolution(2),resolution(3),3,3)); tau = 0.0_pReal
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allocate (tau(resolution(1),resolution(2),resolution(3),3,3)); tau = 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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@ -272,7 +272,7 @@ program mpie_spectral
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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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call dfftw_plan_dft_3d(plan_fft(1,m,n),resolution(1),resolution(2),resolution(3),&
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call dfftw_plan_dft_3d(plan_fft(1,m,n),resolution(1),resolution(2),resolution(3),&
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pstress_field(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT, FFTW_FORWARD) !only for calculation of div (P)
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cstress_field(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT, FFTW_FORWARD) !only for calculation of div (P)
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call dfftw_plan_dft_3d(plan_fft(2,m,n),resolution(1),resolution(2),resolution(3),&
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call dfftw_plan_dft_3d(plan_fft(2,m,n),resolution(1),resolution(2),resolution(3),&
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tau(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT, FFTW_FORWARD)
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tau(:,:,:,m,n), workfft(:,:,:,m,n), FFTW_PATIENT, FFTW_FORWARD)
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call dfftw_plan_dft_3d(plan_fft(3,m,n),resolution(1),resolution(2),resolution(3),&
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call dfftw_plan_dft_3d(plan_fft(3,m,n),resolution(1),resolution(2),resolution(3),&
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@ -408,12 +408,12 @@ program mpie_spectral
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defgrad_av(m,n) = sum(defgrad(:,:,:,m,n)) * wgt
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defgrad_av(m,n) = sum(defgrad(:,:,:,m,n)) * wgt
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enddo; enddo
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enddo; enddo
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err_stress = maxval(abs(mask_stress * (pstress_av - bc_stress(:,:,loadcase))))
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err_stress = maxval(abs(mask_stress * (cstress_av - bc_stress(:,:,loadcase))))
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err_stress_tol = maxval(abs(pstress_av))*err_stress_tolrel
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err_stress_tol = maxval(abs(cstress_av))*err_stress_tolrel
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print*, 'Correcting deformation gradient to fullfill BCs'
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print*, 'Correcting deformation gradient to fullfill BCs'
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defgradAimCorrPrev = defgradAimCorr
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defgradAimCorrPrev = defgradAimCorr
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defgradAimCorr = -mask_stress * math_mul3333xx33(s0, (mask_stress*(pstress_av - bc_stress(:,:,loadcase))))
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defgradAimCorr = -mask_stress * math_mul3333xx33(s0, (mask_stress*(cstress_av - bc_stress(:,:,loadcase))))
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do m=1,3; do n =1,3 ! calculate damper (correction is far to strong)
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do m=1,3; do n =1,3 ! calculate damper (correction is far to strong)
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if ( sign(1.0_pReal,defgradAimCorr(m,n))/=sign(1.0_pReal,defgradAimCorrPrev(m,n))) then
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if ( sign(1.0_pReal,defgradAimCorr(m,n))/=sign(1.0_pReal,defgradAimCorrPrev(m,n))) then
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@ -461,13 +461,13 @@ program mpie_spectral
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enddo; enddo; enddo
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enddo; 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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do k = 1, resolution(3); do j = 1, resolution(2); do i = 1, resolution(1)
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tau(i,j,k,:,:) = pstress_field(i,j,k,:,:) - math_mul3333xx33(c0, defgrad(i,j,k,:,:)-math_I3)
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tau(i,j,k,:,:) = cstress_field(i,j,k,:,:) - math_mul3333xx33(c0, defgrad(i,j,k,:,:)-math_I3)
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enddo; enddo; enddo
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enddo; enddo; enddo
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print *, 'Calculating equilibrium using spectral method'
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print *, 'Calculating equilibrium using spectral method'
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err_div = 0.0_pReal; sigma0 = 0.0_pReal
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err_div = 0.0_pReal; sigma0 = 0.0_pReal
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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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call dfftw_execute_dft(plan_fft(1,m,n), pstress_field(:,:,:,m,n),workfft(:,:,:,m,n))
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call dfftw_execute_dft(plan_fft(1,m,n), cstress_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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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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enddo; enddo
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@ -498,8 +498,8 @@ program mpie_spectral
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defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + (defgradAim(m,n) - defgrad_av(m,n)) !anticipated target minus current state
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defgrad(:,:,:,m,n) = defgrad(:,:,:,m,n) + (defgradAim(m,n) - defgrad_av(m,n)) !anticipated target minus current state
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enddo; enddo
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enddo; enddo
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err_stress = maxval(abs(mask_stress * (pstress_av - bc_stress(:,:,loadcase))))
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err_stress = maxval(abs(mask_stress * (cstress_av - bc_stress(:,:,loadcase))))
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err_stress_tol = maxval(abs(pstress_av))*err_stress_tolrel !accecpt relativ error specified
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err_stress_tol = maxval(abs(cstress_av))*err_stress_tolrel !accecpt relativ error specified
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print '(2(a,E8.2))', ' error divergence ',err_div,' Tol. = ', err_div_tol
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print '(2(a,E8.2))', ' error divergence ',err_div,' Tol. = ', err_div_tol
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print '(2(a,E8.2))', ' error stress ',err_stress,' Tol. = ', err_stress_tol
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print '(2(a,E8.2))', ' error stress ',err_stress,' Tol. = ', err_stress_tol
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