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DAMASK_EICMD
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DAMASK_EICMD/src/kinematics_cleavage_opening...

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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 cleavage planes
!> @details to be done
!--------------------------------------------------------------------------------------------------
module kinematics_cleavage_opening
use prec
implicit none
private
integer, dimension(:), allocatable, private :: kinematics_cleavage_opening_instance
type, private :: tParameters !< container type for internal constitutive parameters
integer :: &
totalNcleavage
integer, dimension(:), allocatable :: &
Ncleavage !< active number of cleavage systems per family
real(pReal) :: &
sdot0, &
n
real(pReal), dimension(:), allocatable :: &
critDisp, &
critLoad
end type
! Begin Deprecated
integer, dimension(:), allocatable, private :: &
kinematics_cleavage_opening_totalNcleavage !< total number of cleavage systems
integer, dimension(:,:), allocatable, private :: &
kinematics_cleavage_opening_Ncleavage !< number of cleavage systems per family
real(pReal), dimension(:), allocatable, private :: &
kinematics_cleavage_opening_sdot_0, &
kinematics_cleavage_opening_N
real(pReal), dimension(:,:), allocatable, private :: &
kinematics_cleavage_opening_critDisp, &
kinematics_cleavage_opening_critLoad
! End Deprecated
public :: &
kinematics_cleavage_opening_init, &
kinematics_cleavage_opening_LiAndItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine kinematics_cleavage_opening_init()
use debug, only: &
debug_level,&
debug_constitutive,&
debug_levelBasic
use config, only: &
config_phase
use IO, only: &
IO_error
use material, only: &
phase_kinematics, &
KINEMATICS_cleavage_opening_label, &
KINEMATICS_cleavage_opening_ID
use lattice, only: &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
integer, allocatable, dimension(:) :: tempInt
real(pReal), allocatable, dimension(:) :: tempFloat
integer :: maxNinstance,p,instance,kinematics
write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_cleavage_opening_LABEL//' init -+>>>'
maxNinstance = int(count(phase_kinematics == KINEMATICS_cleavage_opening_ID))
if (maxNinstance == 0) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
allocate(kinematics_cleavage_opening_instance(size(config_phase)), source=0)
do p = 1, size(config_phase)
kinematics_cleavage_opening_instance(p) = count(phase_kinematics(:,1:p) == kinematics_cleavage_opening_ID) ! ToDo: count correct?
enddo
allocate(kinematics_cleavage_opening_critDisp(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal)
allocate(kinematics_cleavage_opening_critLoad(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal)
allocate(kinematics_cleavage_opening_Ncleavage(lattice_maxNcleavageFamily,maxNinstance), source=0)
allocate(kinematics_cleavage_opening_totalNcleavage(maxNinstance), source=0)
allocate(kinematics_cleavage_opening_sdot_0(maxNinstance), source=0.0_pReal)
allocate(kinematics_cleavage_opening_N(maxNinstance), source=0.0_pReal)
do p = 1, size(config_phase)
if (all(phase_kinematics(:,p) /= KINEMATICS_cleavage_opening_ID)) cycle
instance = kinematics_cleavage_opening_instance(p)
kinematics_cleavage_opening_sdot_0(instance) = config_phase(p)%getFloat('anisobrittle_sdot0')
kinematics_cleavage_opening_N(instance) = config_phase(p)%getFloat('anisobrittle_ratesensitivity')
tempInt = config_phase(p)%getInts('ncleavage')
kinematics_cleavage_opening_Ncleavage(1:size(tempInt),instance) = tempInt
tempFloat = config_phase(p)%getFloats('anisobrittle_criticaldisplacement',requiredSize=size(tempInt))
kinematics_cleavage_opening_critDisp(1:size(tempInt),instance) = tempFloat
tempFloat = config_phase(p)%getFloats('anisobrittle_criticalload',requiredSize=size(tempInt))
kinematics_cleavage_opening_critLoad(1:size(tempInt),instance) = tempFloat
kinematics_cleavage_opening_Ncleavage(1:lattice_maxNcleavageFamily,instance) = &
min(lattice_NcleavageSystem(1:lattice_maxNcleavageFamily,p),& ! limit active cleavage systems per family to min of available and requested
kinematics_cleavage_opening_Ncleavage(1:lattice_maxNcleavageFamily,instance))
kinematics_cleavage_opening_totalNcleavage(instance) = sum(kinematics_cleavage_opening_Ncleavage(:,instance)) ! how many cleavage systems altogether
if (kinematics_cleavage_opening_sdot_0(instance) <= 0.0_pReal) &
call IO_error(211,el=instance,ext_msg='sdot_0 ('//KINEMATICS_cleavage_opening_LABEL//')')
if (any(kinematics_cleavage_opening_critDisp(1:size(tempInt),instance) < 0.0_pReal)) &
call IO_error(211,el=instance,ext_msg='critical_displacement ('//KINEMATICS_cleavage_opening_LABEL//')')
if (any(kinematics_cleavage_opening_critLoad(1:size(tempInt),instance) < 0.0_pReal)) &
call IO_error(211,el=instance,ext_msg='critical_load ('//KINEMATICS_cleavage_opening_LABEL//')')
if (kinematics_cleavage_opening_N(instance) <= 0.0_pReal) &
call IO_error(211,el=instance,ext_msg='rate_sensitivity ('//KINEMATICS_cleavage_opening_LABEL//')')
enddo
end subroutine kinematics_cleavage_opening_init
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el)
use math, only: &
math_mul33xx33
use material, only: &
material_phase, &
material_homogenizationAt, &
damage, &
damageMapping
use lattice, only: &
lattice_Scleavage, &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
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)
integer :: &
instance, phase, &
homog, damageOffset, &
f, i, index_myFamily, k, l, m, n
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
phase = material_phase(ipc,ip,el)
instance = kinematics_cleavage_opening_instance(phase)
homog = material_homogenizationAt(el)
damageOffset = damageMapping(homog)%p(ip,el)
Ld = 0.0_pReal
dLd_dTstar = 0.0_pReal
do f = 1,lattice_maxNcleavageFamily
index_myFamily = sum(lattice_NcleavageSystem(1:f-1,phase)) ! at which index starts my family
do i = 1,kinematics_cleavage_opening_Ncleavage(f,instance) ! process each (active) cleavage system in family
traction_d = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase))
traction_t = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase))
traction_n = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase))
traction_crit = kinematics_cleavage_opening_critLoad(f,instance)* &
damage(homog)%p(damageOffset)*damage(homog)%p(damageOffset)
udotd = &
sign(1.0_pReal,traction_d)* &
kinematics_cleavage_opening_sdot_0(instance)* &
(max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance)
if (abs(udotd) > tol_math_check) then
Ld = Ld + udotd*lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase)
dudotd_dt = sign(1.0_pReal,traction_d)*udotd*kinematics_cleavage_opening_N(instance)/ &
max(0.0_pReal, abs(traction_d) - traction_crit)
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*lattice_Scleavage(k,l,1,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,1,index_myFamily+i,phase)
endif
udott = &
sign(1.0_pReal,traction_t)* &
kinematics_cleavage_opening_sdot_0(instance)* &
(max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance)
if (abs(udott) > tol_math_check) then
Ld = Ld + udott*lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase)
dudott_dt = sign(1.0_pReal,traction_t)*udott*kinematics_cleavage_opening_N(instance)/ &
max(0.0_pReal, abs(traction_t) - traction_crit)
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) + &
dudott_dt*lattice_Scleavage(k,l,2,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,2,index_myFamily+i,phase)
endif
udotn = &
sign(1.0_pReal,traction_n)* &
kinematics_cleavage_opening_sdot_0(instance)* &
(max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance)
if (abs(udotn) > tol_math_check) then
Ld = Ld + udotn*lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase)
dudotn_dt = sign(1.0_pReal,traction_n)*udotn*kinematics_cleavage_opening_N(instance)/ &
max(0.0_pReal, abs(traction_n) - traction_crit)
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) + &
dudotn_dt*lattice_Scleavage(k,l,3,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,3,index_myFamily+i,phase)
endif
enddo
enddo
end subroutine kinematics_cleavage_opening_LiAndItsTangent
end module kinematics_cleavage_opening
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