works if Nslip=[0]
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@ -9,17 +9,15 @@ submodule(constitutive) plastic_kinehardening
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type :: tParameters
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real(pReal) :: &
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gdot0, & !< reference shear strain rate for slip
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n !< stress exponent for slip
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gdot0 = 1.0_pReal, & !< reference shear strain rate for slip
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n = 1.0_pReal !< stress exponent for slip
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real(pReal), allocatable, dimension(:) :: &
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crss0, & !< initial critical shear stress for slip
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theta0, & !< initial hardening rate of forward stress for each slip
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theta1, & !< asymptotic hardening rate of forward stress for each slip
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theta0_b, & !< initial hardening rate of back stress for each slip
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theta1_b, & !< asymptotic hardening rate of back stress for each slip
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tau1, &
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tau1_b, &
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nonSchmidCoeff
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tau1_b
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real(pReal), allocatable, dimension(:,:) :: &
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interaction_slipslip !< slip resistance from slip activity
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real(pReal), allocatable, dimension(:,:,:) :: &
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@ -29,6 +27,8 @@ submodule(constitutive) plastic_kinehardening
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integer :: &
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sum_N_sl, & !< total number of active slip system
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of_debug = 0
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logical :: &
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nonSchmidActive = .false.
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character(len=pStringLen), allocatable, dimension(:) :: &
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output
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end type tParameters
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@ -66,8 +66,11 @@ module subroutine plastic_kinehardening_init
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NipcMyPhase, &
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sizeState, sizeDeltaState, sizeDotState, &
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startIndex, endIndex
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integer, dimension(:), allocatable :: &
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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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a !< non-Schmid coefficients
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character(len=pStringLen) :: &
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extmsg = ''
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@ -101,16 +104,16 @@ module subroutine plastic_kinehardening_init
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!--------------------------------------------------------------------------------------------------
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! slip related parameters
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N_sl = config%getInts('nslip',defaultVal=emptyIntArray)
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prm%sum_N_sl = sum(N_sl)
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prm%sum_N_sl = sum(abs(N_sl))
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slipActive: if (prm%sum_N_sl > 0) then
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prm%P = lattice_SchmidMatrix_slip(N_sl,config%getString('lattice_structure'),&
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config%getFloat('c/a',defaultVal=0.0_pReal))
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if(trim(config%getString('lattice_structure')) == 'bcc') then
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prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
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defaultVal = emptyRealArray)
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prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,prm%nonSchmidCoeff,+1)
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prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,prm%nonSchmidCoeff,-1)
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a = config%getFloats('nonschmid_coefficients',defaultVal = emptyRealArray)
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if(size(a) > 0) prm%nonSchmidActive = .true.
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prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1)
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prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1)
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else
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prm%nonSchmid_pos = prm%P
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prm%nonSchmid_neg = prm%P
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@ -119,7 +122,7 @@ module subroutine plastic_kinehardening_init
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config%getFloats('interaction_slipslip'), &
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config%getString('lattice_structure'))
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prm%crss0 = config%getFloats('crss0', requiredSize=size(N_sl))
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xi_0 = config%getFloats('crss0', requiredSize=size(N_sl))
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prm%tau1 = config%getFloats('tau1', requiredSize=size(N_sl))
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prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(N_sl))
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prm%theta0 = config%getFloats('theta0', requiredSize=size(N_sl))
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@ -131,7 +134,7 @@ module subroutine plastic_kinehardening_init
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prm%n = config%getFloat('n_slip')
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! expand: family => system
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prm%crss0 = math_expand(prm%crss0, N_sl)
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xi_0 = math_expand(xi_0, N_sl)
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prm%tau1 = math_expand(prm%tau1, N_sl)
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prm%tau1_b = math_expand(prm%tau1_b, N_sl)
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prm%theta0 = math_expand(prm%theta0, N_sl)
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@ -139,18 +142,19 @@ module subroutine plastic_kinehardening_init
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prm%theta0_b = math_expand(prm%theta0_b,N_sl)
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prm%theta1_b = math_expand(prm%theta1_b,N_sl)
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!--------------------------------------------------------------------------------------------------
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! sanity checks
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if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
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if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
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if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
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if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
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if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
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if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
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!ToDo: Any sensible checks for theta?
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else slipActive
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xi_0 = emptyRealArray
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allocate(prm%tau1,prm%tau1_b,prm%theta0,prm%theta1,prm%theta0_b,prm%theta1_b,source=emptyRealArray)
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allocate(prm%interaction_SlipSlip(0,0))
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endif slipActive
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!--------------------------------------------------------------------------------------------------
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@ -167,7 +171,7 @@ module subroutine plastic_kinehardening_init
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startIndex = 1
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endIndex = prm%sum_N_sl
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stt%crss => plasticState(p)%state (startIndex:endIndex,:)
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stt%crss = spread(prm%crss0, 2, NipcMyPhase)
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stt%crss = spread(xi_0, 2, NipcMyPhase)
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dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_xi',defaultVal=1.0_pReal)
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if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi'
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@ -414,20 +418,17 @@ pure subroutine kinetics(Mp,instance,of, &
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tau_pos, &
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tau_neg
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integer :: i
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logical :: nonSchmidActive
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associate(prm => param(instance), stt => state(instance))
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nonSchmidActive = size(prm%nonSchmidCoeff) > 0
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do i = 1, prm%sum_N_sl
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tau_pos(i) = math_tensordot(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
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tau_neg(i) = merge(math_tensordot(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
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0.0_pReal, nonSchmidActive)
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0.0_pReal, prm%nonSchmidActive)
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enddo
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where(dNeq0(tau_pos))
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gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
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gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
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* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
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else where
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gdot_pos = 0.0_pReal
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