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@ -24,12 +24,10 @@ module plastic_phenopowerlaw
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accumulatedshear_slip_ID, &
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shearrate_slip_ID, &
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resolvedstress_slip_ID, &
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totalshear_ID, &
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resistance_twin_ID, &
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accumulatedshear_twin_ID, &
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shearrate_twin_ID, &
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resolvedstress_twin_ID, &
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totalvolfrac_twin_ID
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resolvedstress_twin_ID
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end enum
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type, private :: tParameters
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@ -55,7 +53,7 @@ module plastic_phenopowerlaw
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xi_twin_0, & !< initial critical shear stress for twin
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xi_slip_sat, & !< maximum critical shear stress for slip
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nonSchmidCoeff, &
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H_int, & !< per family hardening activity (optional) !ToDo: Better name!
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H_int, & !< per family hardening activity (optional)
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gamma_twin_char !< characteristic shear for twins
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real(pReal), allocatable, dimension(:,:) :: &
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interaction_SlipSlip, & !< slip resistance from slip activity
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@ -80,9 +78,6 @@ module plastic_phenopowerlaw
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type(tParameters), dimension(:), allocatable, private :: param !< containers of constitutive parameters (len Ninstance)
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type, private :: tPhenopowerlawState
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real(pReal), pointer, dimension(:) :: &
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sumGamma, & ! ToDo: why not make a dependent state?
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sumF ! ToDo: why not make a dependent state?
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real(pReal), pointer, dimension(:,:) :: &
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xi_slip, &
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xi_twin, &
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@ -153,12 +148,6 @@ subroutine plastic_phenopowerlaw_init
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real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::]
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character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
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type(tParameters) :: &
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prm
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type(tPhenopowerlawState) :: &
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stt, &
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dot
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integer(kind(undefined_ID)) :: &
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outputID !< ID of each post result output
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@ -283,6 +272,7 @@ subroutine plastic_phenopowerlaw_init
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else twinActive
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allocate(prm%interaction_TwinTwin(0,0))
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allocate(prm%xi_twin_0(0))
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allocate(prm%gamma_twin_char(0))
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endif twinActive
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!--------------------------------------------------------------------------------------------------
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@ -338,12 +328,6 @@ subroutine plastic_phenopowerlaw_init
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outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = prm%totalNtwin
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case ('totalshear')
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outputID = merge(totalshear_ID,undefined_ID,prm%totalNslip>0_pInt)
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outputSize = 1_pInt
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case ('totalvolfrac_twin')
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outputID = merge(totalvolfrac_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = 1_pInt
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end select
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if (outputID /= undefined_ID) then
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@ -358,8 +342,7 @@ subroutine plastic_phenopowerlaw_init
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! allocate state arrays
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NipcMyPhase = count(material_phase == p) ! number of IPCs containing my phase
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sizeState = size(['tau_slip ','gamma_slip']) * prm%TotalNslip &
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+ size(['tau_twin ','gamma_twin']) * prm%TotalNtwin &
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+ size(['sum(gamma)','sum(f) ']) ! ToDo: only needed if either twin or slip active!
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+ size(['tau_twin ','gamma_twin']) * prm%TotalNtwin
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sizeDotState = sizeState
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call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0_pInt, &
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@ -383,18 +366,6 @@ subroutine plastic_phenopowerlaw_init
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dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + 1_pInt
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stt%sumGamma => plasticState(p)%state (startIndex,:)
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dot%sumGamma => plasticState(p)%dotState(startIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + 1_pInt
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stt%sumF=>plasticState(p)%state (startIndex,:)
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dot%sumF=>plasticState(p)%dotState(startIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolTwinFrac
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + prm%totalNslip
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stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
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@ -421,6 +392,8 @@ end subroutine plastic_phenopowerlaw_init
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!> @details asumme that deformation by dislocation glide affects twinned and untwinned volume
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! equally (Taylor assumption). Twinning happens only in untwinned volume (
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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@ -444,17 +417,14 @@ subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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real(pReal), dimension(param(instance)%totalNtwin) :: &
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gdot_twin,dgdot_dtautwin
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: stt
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associate(prm => param(instance), stt => state(instance))
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Lp = 0.0_pReal
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dLp_dMp = 0.0_pReal
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associate(prm => param(instance), stt => state(instance))
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call kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
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slipSystems: do i = 1_pInt, prm%totalNslip
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Lp = Lp + (1.0_pReal-stt%sumF(of))*(gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
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Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
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+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
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@ -468,8 +438,8 @@ subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
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+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
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enddo twinSystems
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end associate
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end associate
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end subroutine plastic_phenopowerlaw_LpAndItsTangent
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@ -490,29 +460,28 @@ subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
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i
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real(pReal) :: &
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c_SlipSlip,c_TwinSlip,c_TwinTwin, &
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xi_slip_sat_offset
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xi_slip_sat_offset,&
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sumGamma,sumF
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real(pReal), dimension(param(instance)%totalNslip) :: &
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left_SlipSlip,right_SlipSlip, &
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gdot_slip_pos,gdot_slip_neg
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: dot,stt
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associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
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dot%whole(:,of) = 0.0_pReal
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sumGamma = sum(stt%gamma_slip(:,of))
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sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
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!--------------------------------------------------------------------------------------------------
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! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
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c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*stt%sumF(of)** prm%twinB)
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c_TwinSlip = prm%h0_TwinSlip * stt%sumGamma(of)**prm%twinE
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c_TwinTwin = prm%h0_TwinTwin * stt%sumF(of)**prm%twinD
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c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*sumF** prm%twinB)
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c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%twinE
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c_TwinTwin = prm%h0_TwinTwin * sumF**prm%twinD
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!--------------------------------------------------------------------------------------------------
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! calculate left and right vectors
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left_SlipSlip = 1.0_pReal + prm%H_int
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xi_slip_sat_offset = prm%spr*sqrt(stt%sumF(of))
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xi_slip_sat_offset = prm%spr*sqrt(sumF)
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right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
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* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
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@ -520,11 +489,7 @@ subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
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! shear rates
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call kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg)
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dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
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dot%sumGamma(of) = sum(dot%gamma_slip(:,of))
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call kinetics_twin(prm,stt,of,Mp,dot%gamma_twin(:,of))
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if (prm%totalNtwin > 0_pInt) dot%sumF(of) = merge(sum(dot%gamma_twin(:,of)/prm%gamma_twin_char), &
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0.0_pReal, &
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stt%sumF(of) < 0.98_pReal)
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!--------------------------------------------------------------------------------------------------
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! hardening
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@ -546,8 +511,9 @@ end subroutine plastic_phenopowerlaw_dotState
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
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!> @details: Shear rates are calculated only optionally. NOTE: Against the common convention, the
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!> result (i.e. intent(out)) variables are the last to have the optional arguments at the end
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!> @details Shear rates are calculated only optionally.
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! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
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! have the optional arguments at the end
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!--------------------------------------------------------------------------------------------------
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pure subroutine kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg, &
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dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
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@ -619,9 +585,11 @@ end subroutine kinetics_slip
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates shear rates on twin systems and derivatives with respect to resolved stress
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!> @details: Shear rates are calculated only optionally. NOTE: Against the common convention, the
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!> result (i.e. intent(out)) variables are the last to have the optional arguments at the end
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!> @brief calculates shear rates on twin systems and derivatives with respect to resolved stress.
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! twinning is assumed to take place only in untwinned volume.
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!> @details Derivates are calculated only optionally.
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! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
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! have the optional arguments at the end.
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!--------------------------------------------------------------------------------------------------
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pure subroutine kinetics_twin(prm,stt,of,Mp,gdot_twin,dgdot_dtau_twin)
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use prec, only: &
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@ -652,7 +620,8 @@ pure subroutine kinetics_twin(prm,stt,of,Mp,gdot_twin,dgdot_dtau_twin)
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enddo
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where(tau_twin > 0.0_pReal)
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gdot_twin = (1.0_pReal-stt%sumF(of))*prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
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gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
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* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
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else where
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gdot_twin = 0.0_pReal
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end where
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@ -690,14 +659,11 @@ function plastic_phenopowerlaw_postResults(Mp,instance,of) result(postResults)
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real(pReal), dimension(param(instance)%totalNslip) :: &
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gdot_slip_pos,gdot_slip_neg
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: stt
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associate( prm => param(instance), stt => state(instance))
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postResults = 0.0_pReal
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c = 0_pInt
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associate( prm => param(instance), stt => state(instance))
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outputsLoop: do o = 1_pInt,size(prm%outputID)
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select case(prm%outputID(o))
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@ -732,15 +698,9 @@ function plastic_phenopowerlaw_postResults(Mp,instance,of) result(postResults)
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enddo
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c = c + prm%totalNtwin
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case (totalshear_ID)
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postResults(c+1_pInt) = stt%sumGamma(of)
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c = c + 1_pInt
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case (totalvolfrac_twin_ID)
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postResults(c+1_pInt) = stt%sumF(of)
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c = c + 1_pInt
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end select
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enddo outputsLoop
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end associate
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end function plastic_phenopowerlaw_postResults
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Philip Eisenlohr