DAMASK_EICMD/src/kinematics_slipplane_openin...

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!--------------------------------------------------------------------------------------------------
!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incorporating kinematics resulting from opening of slip planes
!> @details to be done
!--------------------------------------------------------------------------------------------------
submodule(constitutive:constitutive_damage) kinematics_slipplane_opening
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integer, dimension(:), allocatable :: kinematics_slipplane_opening_instance
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type :: tParameters !< container type for internal constitutive parameters
integer :: &
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sum_N_sl !< total number of cleavage planes
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real(pReal) :: &
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sdot0, & !< opening rate of cleavage planes
n !< damage rate sensitivity
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real(pReal), dimension(:), allocatable :: &
critLoad
real(pReal), dimension(:,:,:), allocatable :: &
P_d, &
P_t, &
P_n
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end type tParameters
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type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance)
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contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
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module function kinematics_slipplane_opening_init(kinematics_length) result(myKinematics)
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integer, intent(in) :: kinematics_length
logical, dimension(:,:), allocatable :: myKinematics
integer :: Ninstance,p,i,k
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character(len=pStringLen) :: extmsg = ''
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integer, dimension(:), allocatable :: N_sl
real(pReal), dimension(:,:), allocatable :: d,n,t
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class(tNode), pointer :: &
phases, &
phase, &
pl, &
kinematics, &
kinematic_type
write(6,'(/,a)') ' <<<+- kinematics_slipplane init -+>>>'
myKinematics = kinematics_active('slipplane_opening',kinematics_length)
Ninstance = count(myKinematics)
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write(6,'(a16,1x,i5,/)') '# instances:',Ninstance; flush(6)
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if(Ninstance == 0) return
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phases => material_root%get('phase')
allocate(kinematics_slipplane_opening_instance(phases%length), source=0)
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allocate(param(Ninstance))
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do p = 1, phases%length
if(any(myKinematics(:,p))) kinematics_slipplane_opening_instance(p) = count(myKinematics(:,1:p))
phase => phases%get(p)
pl => phase%get('plasticity')
if(count(myKinematics(:,p)) == 0) cycle
kinematics => phase%get('kinematics')
do k = 1, kinematics%length
if(myKinematics(k,p)) then
associate(prm => param(kinematics_slipplane_opening_instance(p)))
kinematic_type => kinematics%get(k)
prm%sdot0 = kinematic_type%get_asFloat('dot_o')
prm%n = kinematic_type%get_asFloat('q')
N_sl = pl%get_asInts('N_sl')
prm%sum_N_sl = sum(abs(N_sl))
d = lattice_slip_direction (N_sl,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
t = lattice_slip_transverse(N_sl,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
n = lattice_slip_normal (N_sl,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
allocate(prm%P_d(3,3,size(d,2)),prm%P_t(3,3,size(t,2)),prm%P_n(3,3,size(n,2)))
do i=1, size(n,2)
prm%P_d(1:3,1:3,i) = math_outer(d(1:3,i), n(1:3,i))
prm%P_t(1:3,1:3,i) = math_outer(t(1:3,i), n(1:3,i))
prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i))
enddo
prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl))
! expand: family => system
prm%critLoad = math_expand(prm%critLoad,N_sl)
! sanity checks
if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n'
if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0'
if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad'
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!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
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if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(slipplane_opening)')
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end associate
endif
enddo
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enddo
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end function kinematics_slipplane_opening_init
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el)
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integer, intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(3,3) :: &
S
real(pReal), intent(out), dimension(3,3) :: &
Ld !< damage velocity gradient
real(pReal), intent(out), dimension(3,3,3,3) :: &
dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor)
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integer :: &
instance, phase, &
homog, damageOffset, &
i, k, l, m, n
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
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phase = material_phaseAt(ipc,el)
instance = kinematics_slipplane_opening_instance(phase)
homog = material_homogenizationAt(el)
damageOffset = damageMapping(homog)%p(ip,el)
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associate(prm => param(instance))
Ld = 0.0_pReal
dLd_dTstar = 0.0_pReal
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do i = 1, prm%sum_N_sl
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traction_d = math_tensordot(S,prm%P_d(1:3,1:3,i))
traction_t = math_tensordot(S,prm%P_t(1:3,1:3,i))
traction_n = math_tensordot(S,prm%P_n(1:3,1:3,i))
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traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage
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udotd = sign(1.0_pReal,traction_d)* prm%sdot0* ( abs(traction_d)/traction_crit &
- abs(traction_d)/prm%critLoad(i))**prm%n
udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit &
- abs(traction_t)/prm%critLoad(i))**prm%n
udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit &
- max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n
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if (dNeq0(traction_d)) then
dudotd_dt = udotd*prm%n/traction_d
else
dudotd_dt = 0.0_pReal
endif
if (dNeq0(traction_t)) then
dudott_dt = udott*prm%n/traction_t
else
dudott_dt = 0.0_pReal
endif
if (dNeq0(traction_n)) then
dudotn_dt = udotn*prm%n/traction_n
else
dudotn_dt = 0.0_pReal
endif
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
+ dudotd_dt*prm%P_d(k,l,i)*prm%P_d(m,n,i) &
+ dudott_dt*prm%P_t(k,l,i)*prm%P_t(m,n,i) &
+ dudotn_dt*prm%P_n(k,l,i)*prm%P_n(m,n,i)
Ld = Ld &
+ udotd*prm%P_d(1:3,1:3,i) &
+ udott*prm%P_t(1:3,1:3,i) &
+ udotn*prm%P_n(1:3,1:3,i)
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enddo
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end associate
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end subroutine kinematics_slipplane_opening_LiAndItsTangent
end submodule kinematics_slipplane_opening