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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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90
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_C44, & !< component 44 of the stiffness matrix (input parameter)
constitutive_phenopowerlaw_gdot0_slip, & !< reference shear strain rate for slip (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_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_slip, & !< stress exponent for slip (input parameter)
constitutive_phenopowerlaw_n_twin !< (inverse?) of the stress exponent for twin (input parameter) constitutive_phenopowerlaw_n_twin !< stress exponent for twin (input parameter)
real(pReal), dimension(:,:), allocatable, private :: & real(pReal), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_tau0_slip, & !< initial critical shear stress for slip (input parameter, per family) 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_twinslip, & !< reference hardening twin - slip (input parameter)
constitutive_phenopowerlaw_h0_twintwin, & !< reference hardening twin - twin (input parameter) constitutive_phenopowerlaw_h0_twintwin, & !< reference hardening twin - twin (input parameter)
constitutive_phenopowerlaw_a_slip, & constitutive_phenopowerlaw_a_slip, &
constitutive_phenopowerlaw_aTolResistance constitutive_phenopowerlaw_aTolResistance, &
constitutive_phenopowerlaw_aTolShear, &
constitutive_phenopowerlaw_aTolTwinfrac
real(pReal), dimension(:,:), allocatable, private :: & real(pReal), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_interaction_slipslip, & !< interaction factors slip - slip (input parameter) 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 constitutive_phenopowerlaw_a_slip = 0.0_pReal
allocate(constitutive_phenopowerlaw_aTolResistance(maxNinstance)) allocate(constitutive_phenopowerlaw_aTolResistance(maxNinstance))
constitutive_phenopowerlaw_aTolResistance = 0.0_pReal 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) rewind(myFile)
section = 0_pInt section = 0_pInt
@ -328,6 +333,10 @@ subroutine constitutive_phenopowerlaw_init(myFile)
constitutive_phenopowerlaw_h0_twintwin(i) = IO_floatValue(line,positions,2_pInt) constitutive_phenopowerlaw_h0_twintwin(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_resistance') case ('atol_resistance')
constitutive_phenopowerlaw_aTolResistance(i) = IO_floatValue(line,positions,2_pInt) 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') case ('interaction_slipslip')
forall (j = 1_pInt:lattice_maxNinteraction) & forall (j = 1_pInt:lattice_maxNinteraction) &
constitutive_phenopowerlaw_interaction_slipslip(j,i) = IO_floatValue(line,positions,1_pInt+j) constitutive_phenopowerlaw_interaction_slipslip(j,i) = IO_floatValue(line,positions,1_pInt+j)
@ -384,6 +393,10 @@ subroutine constitutive_phenopowerlaw_init(myFile)
//constitutive_phenopowerlaw_label//')') //constitutive_phenopowerlaw_label//')')
if (constitutive_phenopowerlaw_aTolResistance(i) <= 0.0_pReal) & 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 enddo
@ -465,9 +478,7 @@ subroutine constitutive_phenopowerlaw_init(myFile)
constitutive_phenopowerlaw_Cslip_66(:,:,i) = & constitutive_phenopowerlaw_Cslip_66(:,:,i) = &
math_Mandel3333to66(math_Voigt66to3333(constitutive_phenopowerlaw_Cslip_66(:,:,i))) math_Mandel3333to66(math_Voigt66to3333(constitutive_phenopowerlaw_Cslip_66(:,:,i)))
!-------------------------------------------------------------------------------------------------- do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X
! interaction slip -- X
do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(constitutive_phenopowerlaw_Nslip(1:f-1_pInt,i)) 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 j = 1_pInt,constitutive_phenopowerlaw_Nslip(f,i) ! loop over (active) systems in my family (slip)
do o = 1_pInt,lattice_maxNslipFamily do o = 1_pInt,lattice_maxNslipFamily
@ -492,9 +503,7 @@ subroutine constitutive_phenopowerlaw_init(myFile)
enddo; enddo enddo; enddo
!-------------------------------------------------------------------------------------------------- do f = 1_pInt,lattice_maxNtwinFamily ! >>> interaction twin -- X
! interaction twin -- X
do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(constitutive_phenopowerlaw_Ntwin(1:f-1_pInt,i)) 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) 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 enddo; enddo
! report to out file... ! report to out file...
enddo enddo
end subroutine constitutive_phenopowerlaw_init end subroutine constitutive_phenopowerlaw_init
@ -566,7 +576,16 @@ pure function constitutive_phenopowerlaw_aTolState(myInstance)
real(pReal), dimension(constitutive_phenopowerlaw_sizeState(myInstance)) :: & real(pReal), dimension(constitutive_phenopowerlaw_sizeState(myInstance)) :: &
constitutive_phenopowerlaw_aTolState ! relevant state values for the current instance of this plasticity 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 end function constitutive_phenopowerlaw_aTolState
@ -639,7 +658,7 @@ subroutine constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temp
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state 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), intent(out) :: Lp ! plastic velocity gradient
real(pReal), dimension(3,3,3,3):: dLp_dTstar3333 ! derivative of Lp (4th-rank tensor) 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(9,9), intent(out) :: dLp_dTstar
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,dgdot_dtauslip,tau_slip gdot_slip,dgdot_dtauslip,tau_slip
@ -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 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(6), intent(in) :: Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & 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)))) :: & 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)))) :: & real(pReal), dimension(constitutive_phenopowerlaw_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_phenopowerlaw_dotState constitutive_phenopowerlaw_dotState
@ -755,7 +774,7 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
constitutive_phenopowerlaw_dotState = 0.0_pReal 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)*& c_slipslip = constitutive_phenopowerlaw_h0_slipslip(matID)*&
(1.0_pReal + & (1.0_pReal + &
constitutive_phenopowerlaw_twinC(matID)*state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinB(matID)) constitutive_phenopowerlaw_twinC(matID)*state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinB(matID))
@ -765,19 +784,20 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
c_twintwin = constitutive_phenopowerlaw_h0_twintwin(matID)*& c_twintwin = constitutive_phenopowerlaw_h0_twintwin(matID)*&
state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinD(matID) state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinD(matID)
!-------------------------------------------------------------------------------------------------- !-- calculate left and right vectors and calculate dot gammas
! add system-dependent part and calculate dot gammas
ssat_offset = constitutive_phenopowerlaw_spr(matID)*sqrt(state(ipc,ip,el)%p(index_F)) ssat_offset = constitutive_phenopowerlaw_spr(matID)*sqrt(state(ipc,ip,el)%p(index_F))
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families 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 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 do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt 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 left_slipslip(j) = 1.0_pReal ! no system-dependent left part
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset))** & left_sliptwin(j) = 1.0_pReal ! no system-dependent left part
constitutive_phenopowerlaw_a_slip(matID) right_slipslip(j) = (1.0_pReal-state(ipc,ip,el)%p(j) / &
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset)) &
h_sliptwin(j) = c_sliptwin ! no system-dependent part **constitutive_phenopowerlaw_a_slip(matID)
right_twinslip(j) = 1.0_pReal ! no system-dependent part
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! Calculation of dot gamma ! Calculation of dot gamma
@ -792,11 +812,13 @@ 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 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 do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt j = j+1_pInt
h_twinslip(j) = c_twinslip ! no system-dependent parts left_twinslip(j) = 1.0_pReal ! no system-dependent right part
h_twintwin(j) = c_twintwin 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
!--------------------------------------------------------------------------------------------------
! Calculation of dot vol frac
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID)) 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)*& constitutive_phenopowerlaw_gdot0_twin(matID)*&
@ -812,8 +834,12 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt j = j+1_pInt
constitutive_phenopowerlaw_dotState(j) = & ! evolution of slip resistance j 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 c_slipslip * left_slipslip(j) * &
h_sliptwin(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_sliptwin(1:nTwin,j,matID),gdot_twin) ! dot gamma_twin 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) + & constitutive_phenopowerlaw_dotState(index_Gamma) = constitutive_phenopowerlaw_dotState(index_Gamma) + &
abs(gdot_slip(j)) abs(gdot_slip(j))
enddo enddo
@ -825,8 +851,12 @@ function constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,state,ipc,ip,el
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt j = j+1_pInt
constitutive_phenopowerlaw_dotState(j+nSlip) = & ! evolution of twin resistance j 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 c_twinslip * left_twinslip(j) * &
h_twintwin(j) * dot_product(constitutive_phenopowerlaw_hardeningMatrix_twintwin(1:nTwin,j,matID),gdot_twin) ! dot gamma_twin 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) + & constitutive_phenopowerlaw_dotState(index_F) = constitutive_phenopowerlaw_dotState(index_F) + &
gdot_twin(j)/lattice_shearTwin(index_myFamily+i,structID) gdot_twin(j)/lattice_shearTwin(index_myFamily+i,structID)
enddo enddo