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switched saturation behavior!! 

was \dot s_alpha = (1-s_alpha/s_inf)^a h_alphabeta \dot gamma_beta
now \dot s_alpha = h_alphabeta  (1-s_beta/s_inf)^a \dot gamma_beta

current form is consistent with the genmat implementation (and appears to make more physical sense). Kalidindi_etal1992 suggested this form, but altered it to the alpha-one in Bachu+Kalidindi1998... By now, it seems that some groups use alpha, others beta approach.

introduced two new absolute tolerance values for "shears" and "twinFrac" (default 1e-6).
This commit is contained in:
Philip Eisenlohr 2012-10-22 14:55:07 +00:00
parent 2be331b74d
commit 5ad0eda1b6
1 changed files with 73 additions and 43 deletions
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116
code/constitutive_phenopowerlaw.f90
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@ -65,9 +65,8 @@ module constitutive_phenopowerlaw
constitutive_phenopowerlaw_C44, & !< component 44 of the stiffness matrix (input parameter)
constitutive_phenopowerlaw_gdot0_slip, & !< reference shear strain rate for slip (input parameter)
constitutive_phenopowerlaw_gdot0_twin, & !< reference shear strain rate for twin (input parameter)
constitutive_phenopowerlaw_n_slip, & !< (inverse?) of the stress exponent for slip (input parameter)
constitutive_phenopowerlaw_n_twin !< (inverse?) of the stress exponent for twin (input parameter)
constitutive_phenopowerlaw_n_slip, & !< stress exponent for slip (input parameter)
constitutive_phenopowerlaw_n_twin !< stress exponent for twin (input parameter)
real(pReal), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_tau0_slip, & !< initial critical shear stress for slip (input parameter, per family)
@ -85,7 +84,9 @@ module constitutive_phenopowerlaw
constitutive_phenopowerlaw_h0_twinslip, & !< reference hardening twin - slip (input parameter)
constitutive_phenopowerlaw_h0_twintwin, & !< reference hardening twin - twin (input parameter)
constitutive_phenopowerlaw_a_slip, &
constitutive_phenopowerlaw_aTolResistance
constitutive_phenopowerlaw_aTolResistance, &
constitutive_phenopowerlaw_aTolShear, &
constitutive_phenopowerlaw_aTolTwinfrac
real(pReal), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_interaction_slipslip, & !< interaction factors slip - slip (input parameter)
@ -241,6 +242,10 @@ subroutine constitutive_phenopowerlaw_init(myFile)
constitutive_phenopowerlaw_a_slip = 0.0_pReal
allocate(constitutive_phenopowerlaw_aTolResistance(maxNinstance))
constitutive_phenopowerlaw_aTolResistance = 0.0_pReal
allocate(constitutive_phenopowerlaw_aTolShear(maxNinstance))
constitutive_phenopowerlaw_aTolShear = 0.0_pReal
allocate(constitutive_phenopowerlaw_aTolTwinfrac(maxNinstance))
constitutive_phenopowerlaw_aTolTwinfrac = 0.0_pReal
rewind(myFile)
section = 0_pInt
@ -328,6 +333,10 @@ subroutine constitutive_phenopowerlaw_init(myFile)
constitutive_phenopowerlaw_h0_twintwin(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_resistance')
constitutive_phenopowerlaw_aTolResistance(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_shear')
constitutive_phenopowerlaw_aTolShear(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_twinfrac')
constitutive_phenopowerlaw_aTolTwinfrac(i) = IO_floatValue(line,positions,2_pInt)
case ('interaction_slipslip')
forall (j = 1_pInt:lattice_maxNinteraction) &
constitutive_phenopowerlaw_interaction_slipslip(j,i) = IO_floatValue(line,positions,1_pInt+j)
@ -356,8 +365,8 @@ subroutine constitutive_phenopowerlaw_init(myFile)
constitutive_phenopowerlaw_Ntwin(1:lattice_maxNtwinFamily,i) = &
min(lattice_NtwinSystem(1:lattice_maxNtwinFamily,constitutive_phenopowerlaw_structure(i)),& ! limit active twin systems per family to min of available and requested
constitutive_phenopowerlaw_Ntwin(:,i))
constitutive_phenopowerlaw_totalNslip(i) = sum(constitutive_phenopowerlaw_Nslip(:,i)) ! how many slip systems altogether
constitutive_phenopowerlaw_totalNtwin(i) = sum(constitutive_phenopowerlaw_Ntwin(:,i)) ! how many twin systems altogether
constitutive_phenopowerlaw_totalNslip(i) = sum(constitutive_phenopowerlaw_Nslip(:,i)) ! how many slip systems altogether
constitutive_phenopowerlaw_totalNtwin(i) = sum(constitutive_phenopowerlaw_Ntwin(:,i)) ! how many twin systems altogether
if (constitutive_phenopowerlaw_structure(i) < 1 ) call IO_error(205_pInt,e=i)
if (any(constitutive_phenopowerlaw_tau0_slip(:,i) < 0.0_pReal .and. &
@ -383,7 +392,11 @@ subroutine constitutive_phenopowerlaw_init(myFile)
any(constitutive_phenopowerlaw_Ntwin(:,i) > 0)) call IO_error(211_pInt,e=i,ext_msg='n_twin (' &
//constitutive_phenopowerlaw_label//')')
if (constitutive_phenopowerlaw_aTolResistance(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolResistance(i) = 1.0_pReal ! default absolute tolerance 1 Pa
constitutive_phenopowerlaw_aTolResistance(i) = 1.0_pReal ! default absolute tolerance 1 Pa
if (constitutive_phenopowerlaw_aTolShear(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolShear(i) = 1.0e-6_pReal ! default absolute tolerance 1e-6
if (constitutive_phenopowerlaw_aTolTwinfrac(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolTwinfrac(i) = 1.0e-6_pReal ! default absolute tolerance 1e-6
enddo
@ -464,10 +477,8 @@ subroutine constitutive_phenopowerlaw_init(myFile)
end select
constitutive_phenopowerlaw_Cslip_66(:,:,i) = &
math_Mandel3333to66(math_Voigt66to3333(constitutive_phenopowerlaw_Cslip_66(:,:,i)))
!--------------------------------------------------------------------------------------------------
! interaction slip -- X
do f = 1_pInt,lattice_maxNslipFamily
do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X
index_myFamily = sum(constitutive_phenopowerlaw_Nslip(1:f-1_pInt,i))
do j = 1_pInt,constitutive_phenopowerlaw_Nslip(f,i) ! loop over (active) systems in my family (slip)
do o = 1_pInt,lattice_maxNslipFamily
@ -491,10 +502,8 @@ subroutine constitutive_phenopowerlaw_init(myFile)
enddo; enddo
enddo; enddo
!--------------------------------------------------------------------------------------------------
! interaction twin -- X
do f = 1_pInt,lattice_maxNtwinFamily
do f = 1_pInt,lattice_maxNtwinFamily ! >>> interaction twin -- X
index_myFamily = sum(constitutive_phenopowerlaw_Ntwin(1:f-1_pInt,i))
do j = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,i) ! loop over (active) systems in my family (twin)
@ -521,6 +530,7 @@ subroutine constitutive_phenopowerlaw_init(myFile)
enddo; enddo
! report to out file...
enddo
end subroutine constitutive_phenopowerlaw_init
@ -566,7 +576,16 @@ pure function constitutive_phenopowerlaw_aTolState(myInstance)
real(pReal), dimension(constitutive_phenopowerlaw_sizeState(myInstance)) :: &
constitutive_phenopowerlaw_aTolState ! relevant state values for the current instance of this plasticity
constitutive_phenopowerlaw_aTolState = constitutive_phenopowerlaw_aTolResistance(myInstance)
constitutive_phenopowerlaw_aTolState(1:constitutive_phenopowerlaw_totalNslip(myInstance)+ &
constitutive_phenopowerlaw_totalNtwin(myInstance)) = &
constitutive_phenopowerlaw_aTolResistance(myInstance)
constitutive_phenopowerlaw_aTolState(1+constitutive_phenopowerlaw_totalNslip(myInstance)+ &
constitutive_phenopowerlaw_totalNtwin(myInstance)) = &
constitutive_phenopowerlaw_aTolShear(myInstance)
constitutive_phenopowerlaw_aTolState(2+constitutive_phenopowerlaw_totalNslip(myInstance)+ &
constitutive_phenopowerlaw_totalNtwin(myInstance)) = &
constitutive_phenopowerlaw_aTolTwinFrac(myInstance)
end function constitutive_phenopowerlaw_aTolState
@ -587,7 +606,7 @@ function constitutive_phenopowerlaw_homogenizedC(state,ipc,ip,el)
integer(pInt) matID
real(pReal), dimension(6,6) :: constitutive_phenopowerlaw_homogenizedC
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! state variables
state ! state variables
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
constitutive_phenopowerlaw_homogenizedC = constitutive_phenopowerlaw_Cslip_66(:,:,matID)
@ -637,10 +656,10 @@ subroutine constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temp
integer(pInt) matID,nSlip,nTwin,f,i,j,k,l,m,n, structID,index_Gamma,index_F,index_myFamily
real(pReal) Temperature
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
real(pReal), dimension(3,3,3,3):: dLp_dTstar3333 ! derivative of Lp (4th-rank tensor)
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333 ! derivative of Lp (4th-rank tensor)
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,dgdot_dtauslip,tau_slip
real(pReal), dimension(constitutive_phenopowerlaw_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
@ -737,9 +756,9 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
real(pReal), dimension(6), intent(in) :: Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,tau_slip,h_slipslip,h_sliptwin
gdot_slip,tau_slip,left_slipslip,left_sliptwin,right_slipslip,right_twinslip
real(pReal), dimension(constitutive_phenopowerlaw_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_twin,tau_twin,h_twinslip,h_twintwin
gdot_twin,tau_twin,left_twinslip,left_twintwin,right_sliptwin,right_twintwin
real(pReal), dimension(constitutive_phenopowerlaw_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_phenopowerlaw_dotState
@ -755,7 +774,7 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
constitutive_phenopowerlaw_dotState = 0.0_pReal
!--------------------------------------------------------------------------------------------------
! system-independent (nonlinear) prefactors to M_xx matrices
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
c_slipslip = constitutive_phenopowerlaw_h0_slipslip(matID)*&
(1.0_pReal + &
constitutive_phenopowerlaw_twinC(matID)*state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinB(matID))
@ -764,20 +783,21 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
state(ipc,ip,el)%p(index_Gamma)**constitutive_phenopowerlaw_twinE(matID)
c_twintwin = constitutive_phenopowerlaw_h0_twintwin(matID)*&
state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinD(matID)
!--------------------------------------------------------------------------------------------------
! add system-dependent part and calculate dot gammas
!-- calculate left and right vectors and calculate dot gammas
ssat_offset = constitutive_phenopowerlaw_spr(matID)*sqrt(state(ipc,ip,el)%p(index_F))
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
h_slipslip(j) = c_slipslip*(1.0_pReal-state(ipc,ip,el)%p(j) / & ! system-dependent prefactor for slip--slip interaction
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset))** &
constitutive_phenopowerlaw_a_slip(matID)
h_sliptwin(j) = c_sliptwin ! no system-dependent part
left_slipslip(j) = 1.0_pReal ! no system-dependent left part
left_sliptwin(j) = 1.0_pReal ! no system-dependent left part
right_slipslip(j) = (1.0_pReal-state(ipc,ip,el)%p(j) / &
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset)) &
**constitutive_phenopowerlaw_a_slip(matID)
right_twinslip(j) = 1.0_pReal ! no system-dependent part
!--------------------------------------------------------------------------------------------------
! Calculation of dot gamma
@ -792,13 +812,15 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt
h_twinslip(j) = c_twinslip ! no system-dependent parts
h_twintwin(j) = c_twintwin
!--------------------------------------------------------------------------------------------------
! Calculation of dot vol frac
left_twinslip(j) = 1.0_pReal ! no system-dependent right part
left_twintwin(j) = 1.0_pReal ! no system-dependent right part
right_sliptwin(j) = 1.0_pReal ! no system-dependent right part
right_twintwin(j) = 1.0_pReal ! no system-dependent right part
!* Calculation of dot vol frac
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID))
gdot_twin(j) = (1.0_pReal-state(ipc,ip,el)%p(index_F))*& ! 1-F
gdot_twin(j) = (1.0_pReal-state(ipc,ip,el)%p(index_F))*& ! 1-F
constitutive_phenopowerlaw_gdot0_twin(matID)*&
(abs(tau_twin(j))/state(ipc,ip,el)%p(nSlip+j))**&
constitutive_phenopowerlaw_n_twin(matID)*max(0.0_pReal,sign(1.0_pReal,tau_twin(j)))
@ -811,9 +833,13 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
constitutive_phenopowerlaw_dotState(j) = & ! evolution of slip resistance j
h_slipslip(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_slipslip(1:nSlip,j,matID),abs(gdot_slip)) + & ! dot gamma_slip
h_sliptwin(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_sliptwin(1:nTwin,j,matID),gdot_twin) ! dot gamma_twin
constitutive_phenopowerlaw_dotState(j) = & ! evolution of slip resistance j
c_slipslip * left_slipslip(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_slipslip(1:nSlip,j,matID), &
right_slipslip*abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
c_sliptwin * left_sliptwin(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_sliptwin(1:nTwin,j,matID), &
right_sliptwin*gdot_twin) ! dot gamma_twin modulated by right-side twin factor
constitutive_phenopowerlaw_dotState(index_Gamma) = constitutive_phenopowerlaw_dotState(index_Gamma) + &
abs(gdot_slip(j))
enddo
@ -824,9 +850,13 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt
constitutive_phenopowerlaw_dotState(j+nSlip) = & ! evolution of twin resistance j
h_twinslip(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_twinslip(1:nSlip,j,matID),abs(gdot_slip)) + & ! dot gamma_slip
h_twintwin(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_twintwin(1:nTwin,j,matID),gdot_twin) ! dot gamma_twin
constitutive_phenopowerlaw_dotState(j+nSlip) = & ! evolution of twin resistance j
c_twinslip * left_twinslip(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_twinslip(1:nSlip,j,matID), &
right_twinslip*abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
c_twintwin * left_twintwin(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_twintwin(1:nTwin,j,matID), &
right_twintwin*gdot_twin) ! dot gamma_twin modulated by right-side twin factor
constitutive_phenopowerlaw_dotState(index_F) = constitutive_phenopowerlaw_dotState(index_F) + &
gdot_twin(j)/lattice_shearTwin(index_myFamily+i,structID)
enddo