Merge branch 'polish-kinehardening' into 'development'
Polish kinehardening See merge request damask/DAMASK!732
This commit is contained in:
Martin Diehl
commit
e087cd4399
2
PRIVATE
2
PRIVATE
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@ -1 +1 @@
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Subproject commit 8fbc1dd8a26bf359b72bc076dac8ea3edef3be6d
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Subproject commit a1bb5d6de4ff569ed1ac51064ebd99ab1bf4dce1
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@ -3,7 +3,7 @@ type: dislotungsten
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references:
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- D. Cereceda et al.,
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International Journal of Plasticity 78:242-265, 2016,
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http://dx.doi.org/10.1016/j.ijplas.2015.09.002
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https://doi.org/10.1016/j.ijplas.2015.09.002
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- R. Gröger et al.,
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Acta Materialia 56(19):5412-5425, 2008,
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https://doi.org/10.1016/j.actamat.2008.07.037
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@ -0,0 +1,23 @@
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type: kinehardening
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references:
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- J.A. Wollmershauser et al.,
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International Journal of Fatigue 36(1):181-193, 2012,
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https://doi.org/10.1016/j.ijfatigue.2011.07.008
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output: [xi, chi, chi_flip, gamma_flip, gamma, sgn(gamma)]
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N_sl: [12]
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xi_0: [0.070e+9] # τ_0,for
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xi_inf: [0.015e+9] # τ_1,for
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h_0_xi: [0.065e+9] # θ_0,for
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h_inf_xi: [0.045e+9] # θ_1,for
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chi_inf: [0.027e+9] # τ_1,bs
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h_0_chi: [55e+9] # θ_0,bs
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h_inf_chi: [1.3e+9] # θ_1,bs
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n: 20 # not mentioned in the reference
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dot_gamma_0: 1e-4 # not mentioned in the reference
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h_sl-sl: [1, 1, 1, 1, 1, 1, 1]
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@ -2,8 +2,8 @@
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!> @author Philip Eisenlohr, Michigan State University
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!> @author Zhuowen Zhao, Michigan State University
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates
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!! and a Voce-type kinematic hardening rule
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!> @brief Phenomenological crystal plasticity using a power-law formulation for the shear rates
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!! and a Voce-type kinematic hardening rule.
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!--------------------------------------------------------------------------------------------------
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submodule(phase:plastic) kinehardening
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@ -12,14 +12,18 @@ submodule(phase:plastic) kinehardening
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n = 1.0_pReal, & !< stress exponent for slip
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dot_gamma_0 = 1.0_pReal !< reference shear strain rate for slip
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real(pReal), allocatable, dimension(:) :: &
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h_0_f, & !< initial hardening rate of forward stress for each slip
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h_inf_f, & !< asymptotic hardening rate of forward stress for each slip
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h_0_b, & !< initial hardening rate of back stress for each slip
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h_inf_b, & !< asymptotic hardening rate of back stress for each slip
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xi_inf_f, &
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xi_inf_b
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h_0_xi, & !< initial hardening rate of forest stress per slip family
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!! θ_0,for
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h_0_chi, & !< initial hardening rate of back stress per slip family
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!! θ_0,bs
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h_inf_xi, & !< asymptotic hardening rate of forest stress per slip family
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!! θ_1,for
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h_inf_chi, & !< asymptotic hardening rate of back stress per slip family
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!! θ_1,bs
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xi_inf, & !< back-extrapolated forest stress from terminal linear hardening
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chi_inf !< back-extrapolated back stress from terminal linear hardening
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real(pReal), allocatable, dimension(:,:) :: &
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h_sl_sl !< slip resistance from slip activity
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h_sl_sl !< slip resistance change per slip activity
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real(pReal), allocatable, dimension(:,:,:) :: &
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P, &
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P_nS_pos, &
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@ -43,11 +47,15 @@ submodule(phase:plastic) kinehardening
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type :: tKinehardeningState
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real(pReal), pointer, dimension(:,:) :: &
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xi, & !< resistance against plastic slip
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xi, & !< forest stress
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!! τ_for
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chi, & !< back stress
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chi_0, & !< back stress at last switch of stress sense
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!! τ_bs
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chi_flip, & !< back stress at last reversal of stress sense
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!! χ_0
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gamma, & !< accumulated (absolute) shear
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gamma_0, & !< accumulated shear at last switch of stress sense
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gamma_flip, & !< accumulated shear at last reversal of stress sense
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!! γ_0
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sgn_gamma !< sense of acting shear stress (-1 or +1)
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end type tKinehardeningState
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@ -75,7 +83,8 @@ module function plastic_kinehardening_init() result(myPlasticity)
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integer, dimension(:), allocatable :: &
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N_sl
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real(pReal), dimension(:), allocatable :: &
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xi_0, & !< initial resistance against plastic flow
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xi_0, & !< initial forest stress
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!! τ_for,0
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a !< non-Schmid coefficients
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character(len=:), allocatable :: &
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refs, &
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@ -134,7 +143,7 @@ module function plastic_kinehardening_init() result(myPlasticity)
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if (phase_lattice(ph) == 'cI') then
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a = pl%get_as1dFloat('a_nonSchmid',defaultVal=emptyRealArray)
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if (size(a) > 0) prm%nonSchmidActive = .true.
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prm%nonSchmidActive = size(a) > 0
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prm%P_nS_pos = lattice_nonSchmidMatrix(N_sl,a,+1)
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prm%P_nS_neg = lattice_nonSchmidMatrix(N_sl,a,-1)
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else
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@ -145,44 +154,48 @@ module function plastic_kinehardening_init() result(myPlasticity)
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phase_lattice(ph))
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xi_0 = pl%get_as1dFloat('xi_0', requiredSize=size(N_sl))
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prm%xi_inf_f = pl%get_as1dFloat('xi_inf_f', requiredSize=size(N_sl))
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prm%xi_inf_b = pl%get_as1dFloat('xi_inf_b', requiredSize=size(N_sl))
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prm%h_0_f = pl%get_as1dFloat('h_0_f', requiredSize=size(N_sl))
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prm%h_inf_f = pl%get_as1dFloat('h_inf_f', requiredSize=size(N_sl))
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prm%h_0_b = pl%get_as1dFloat('h_0_b', requiredSize=size(N_sl))
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prm%h_inf_b = pl%get_as1dFloat('h_inf_b', requiredSize=size(N_sl))
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prm%xi_inf = pl%get_as1dFloat('xi_inf', requiredSize=size(N_sl))
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prm%chi_inf = pl%get_as1dFloat('chi_inf', requiredSize=size(N_sl))
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prm%h_0_xi = pl%get_as1dFloat('h_0_xi', requiredSize=size(N_sl))
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prm%h_0_chi = pl%get_as1dFloat('h_0_chi', requiredSize=size(N_sl))
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prm%h_inf_xi = pl%get_as1dFloat('h_inf_xi', requiredSize=size(N_sl))
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prm%h_inf_chi = pl%get_as1dFloat('h_inf_chi', requiredSize=size(N_sl))
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prm%dot_gamma_0 = pl%get_asFloat('dot_gamma_0')
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prm%n = pl%get_asFloat('n')
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! expand: family => system
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xi_0 = math_expand(xi_0, N_sl)
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prm%xi_inf_f = math_expand(prm%xi_inf_f, N_sl)
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prm%xi_inf_b = math_expand(prm%xi_inf_b, N_sl)
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prm%h_0_f = math_expand(prm%h_0_f, N_sl)
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prm%h_inf_f = math_expand(prm%h_inf_f, N_sl)
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prm%h_0_b = math_expand(prm%h_0_b, N_sl)
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prm%h_inf_b = math_expand(prm%h_inf_b, N_sl)
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prm%xi_inf = math_expand(prm%xi_inf, N_sl)
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prm%chi_inf = math_expand(prm%chi_inf, N_sl)
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prm%h_0_xi = math_expand(prm%h_0_xi, N_sl)
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prm%h_0_chi = math_expand(prm%h_0_chi, N_sl)
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prm%h_inf_xi = math_expand(prm%h_inf_xi, N_sl)
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prm%h_inf_chi = math_expand(prm%h_inf_chi, N_sl)
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!--------------------------------------------------------------------------------------------------
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! sanity checks
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if ( prm%dot_gamma_0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0'
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if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
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if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0'
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if (any(prm%xi_inf_f <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_f'
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if (any(prm%xi_inf_b <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_b'
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if (any(prm%xi_inf <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf'
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if (any(prm%chi_inf <= 0.0_pReal)) extmsg = trim(extmsg)//' chi_inf'
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else slipActive
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xi_0 = emptyRealArray
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allocate(prm%xi_inf_f,prm%xi_inf_b,prm%h_0_f,prm%h_inf_f,prm%h_0_b,prm%h_inf_b,source=emptyRealArray)
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allocate(prm%xi_inf,prm%chi_inf,prm%h_0_xi,prm%h_inf_xi,prm%h_0_chi,prm%h_inf_chi,source=emptyRealArray)
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allocate(prm%h_sl_sl(0,0))
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end if slipActive
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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Nmembers = count(material_ID_phase == ph)
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sizeDotState = size(['xi ','chi ', 'gamma']) * prm%sum_N_sl
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sizeDeltaState = size(['sgn_gamma', 'chi_0 ', 'gamma_0 ']) * prm%sum_N_sl
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sizeDotState = prm%sum_N_sl * size(['xi ',&
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'chi ',&
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'gamma'])
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sizeDeltaState = prm%sum_N_sl * size(['sgn_gamma ',&
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'chi_flip ',&
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'gamma_flip'])
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sizeState = sizeDotState + sizeDeltaState
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call phase_allocateState(plasticState(ph),Nmembers,sizeState,sizeDotState,sizeDeltaState)
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@ -219,13 +232,13 @@ module function plastic_kinehardening_init() result(myPlasticity)
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startIndex = endIndex + 1
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endIndex = endIndex + prm%sum_N_sl
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stt%chi_0 => plasticState(ph)%state (startIndex :endIndex ,:)
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dlt%chi_0 => plasticState(ph)%deltaState(startIndex-o:endIndex-o,:)
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stt%chi_flip => plasticState(ph)%state (startIndex :endIndex ,:)
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dlt%chi_flip => plasticState(ph)%deltaState(startIndex-o:endIndex-o,:)
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startIndex = endIndex + 1
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endIndex = endIndex + prm%sum_N_sl
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stt%gamma_0 => plasticState(ph)%state (startIndex :endIndex ,:)
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dlt%gamma_0 => plasticState(ph)%deltaState(startIndex-o:endIndex-o,:)
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stt%gamma_flip => plasticState(ph)%state (startIndex :endIndex ,:)
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dlt%gamma_flip => plasticState(ph)%deltaState(startIndex-o:endIndex-o,:)
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end associate
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@ -311,16 +324,17 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
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dot_xi = matmul(prm%h_sl_sl,dot_gamma) &
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* ( prm%h_inf_f &
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+ (prm%h_0_f - prm%h_inf_f + prm%h_0_f*prm%h_inf_f*sumGamma/prm%xi_inf_f) &
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* exp(-sumGamma*prm%h_0_f/prm%xi_inf_f) &
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* ( prm%h_inf_xi &
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+ ( prm%h_0_xi &
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- prm%h_inf_xi * (1_pReal -sumGamma*prm%h_0_xi/prm%xi_inf) ) &
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* exp(-sumGamma*prm%h_0_xi/prm%xi_inf) &
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)
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dot_chi = stt%sgn_gamma(:,en)*dot_gamma &
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* ( prm%h_inf_b &
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+ (prm%h_0_b - prm%h_inf_b &
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+ prm%h_0_b*prm%h_inf_b/(prm%xi_inf_b+stt%chi_0(:,en))*(stt%gamma(:,en)-stt%gamma_0(:,en))&
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) *exp(-(stt%gamma(:,en)-stt%gamma_0(:,en)) *prm%h_0_b/(prm%xi_inf_b+stt%chi_0(:,en))) &
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* ( prm%h_inf_chi &
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+ ( prm%h_0_chi &
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- prm%h_inf_chi*(1_pReal -(stt%gamma(:,en)-stt%gamma_flip(:,en))*prm%h_0_chi/(prm%chi_inf+stt%chi_flip(:,en))) ) &
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* exp(-(stt%gamma(:,en)-stt%gamma_flip(:,en))*prm%h_0_chi/(prm%chi_inf+stt%chi_flip(:,en))) &
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)
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end associate
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@ -353,12 +367,12 @@ module subroutine plastic_kinehardening_deltaState(Mp,ph,en)
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where(dNeq(sgn_gamma,stt%sgn_gamma(:,en),0.1_pReal)) ! ToDo sgn_gamma*stt%sgn_gamma(:,en)<0
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dlt%sgn_gamma (:,en) = sgn_gamma - stt%sgn_gamma (:,en)
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dlt%chi_0 (:,en) = abs(stt%chi(:,en)) - stt%chi_0(:,en)
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dlt%gamma_0(:,en) = stt%gamma(:,en) - stt%gamma_0(:,en)
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dlt%chi_flip (:,en) = abs(stt%chi (:,en)) - stt%chi_flip (:,en)
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dlt%gamma_flip(:,en) = stt%gamma(:,en) - stt%gamma_flip(:,en)
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else where
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dlt%sgn_gamma (:,en) = 0.0_pReal
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dlt%chi_0 (:,en) = 0.0_pReal
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dlt%gamma_0(:,en) = 0.0_pReal
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dlt%chi_flip (:,en) = 0.0_pReal
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dlt%gamma_flip(:,en) = 0.0_pReal
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end where
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end associate
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@ -385,19 +399,19 @@ module subroutine plastic_kinehardening_result(ph,group)
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case ('xi')
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call result_writeDataset(stt%xi,group,trim(prm%output(ou)), &
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'resistance against plastic slip','Pa',prm%systems_sl)
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'forest stress','Pa',prm%systems_sl)
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case ('chi')
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call result_writeDataset(stt%chi,group,trim(prm%output(ou)), &
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'back stress','Pa',prm%systems_sl)
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case ('sgn(gamma)')
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call result_writeDataset(int(stt%sgn_gamma),group,trim(prm%output(ou)), &
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'sense of shear','1',prm%systems_sl)
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case ('chi_0')
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call result_writeDataset(stt%chi_0,group,trim(prm%output(ou)), &
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'back stress at last switch of stress sense','Pa',prm%systems_sl)
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case ('gamma_0')
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call result_writeDataset(stt%gamma_0,group,trim(prm%output(ou)), &
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'plastic shear at last switch of stress sense','1',prm%systems_sl)
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case ('chi_flip')
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call result_writeDataset(stt%chi_flip,group,trim(prm%output(ou)), &
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'back stress at last reversal of stress sense','Pa',prm%systems_sl)
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case ('gamma_flip')
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call result_writeDataset(stt%gamma_flip,group,trim(prm%output(ou)), &
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'plastic shear at last reversal of stress sense','1',prm%systems_sl)
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case ('gamma')
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call result_writeDataset(stt%gamma,group,trim(prm%output(ou)), &
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'plastic shear','1',prm%systems_sl)
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