2015-05-28 22:32:23 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
2016-02-29 18:56:06 +05:30
|
|
|
!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
|
|
|
|
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
|
2015-05-28 22:32:23 +05:30
|
|
|
!> @brief material subroutine incorporating kinematics resulting from opening of cleavage planes
|
|
|
|
!> @details to be done
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
module kinematics_cleavage_opening
|
2019-05-17 02:44:47 +05:30
|
|
|
use prec
|
|
|
|
use IO
|
|
|
|
use config
|
|
|
|
use debug
|
|
|
|
use math
|
|
|
|
use lattice
|
|
|
|
use material
|
2015-05-28 22:32:23 +05:30
|
|
|
|
2019-05-28 15:36:21 +05:30
|
|
|
implicit none
|
|
|
|
private
|
|
|
|
|
|
|
|
integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance
|
|
|
|
|
|
|
|
type :: 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
|
2018-12-31 01:38:48 +05:30
|
|
|
|
|
|
|
! Begin Deprecated
|
2019-05-28 15:36:21 +05:30
|
|
|
integer, dimension(:), allocatable :: &
|
|
|
|
kinematics_cleavage_opening_totalNcleavage !< total number of cleavage systems
|
|
|
|
|
|
|
|
integer, dimension(:,:), allocatable :: &
|
|
|
|
kinematics_cleavage_opening_Ncleavage !< number of cleavage systems per family
|
|
|
|
|
|
|
|
real(pReal), dimension(:), allocatable :: &
|
|
|
|
kinematics_cleavage_opening_sdot_0, &
|
|
|
|
kinematics_cleavage_opening_N
|
|
|
|
|
|
|
|
real(pReal), dimension(:,:), allocatable :: &
|
|
|
|
kinematics_cleavage_opening_critDisp, &
|
|
|
|
kinematics_cleavage_opening_critLoad
|
2018-12-31 01:38:48 +05:30
|
|
|
! End Deprecated
|
2015-05-28 22:32:23 +05:30
|
|
|
|
2019-05-28 15:36:21 +05:30
|
|
|
public :: &
|
|
|
|
kinematics_cleavage_opening_init, &
|
|
|
|
kinematics_cleavage_opening_LiAndItsTangent
|
2015-05-28 22:32:23 +05:30
|
|
|
|
|
|
|
contains
|
|
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
!> @brief module initialization
|
|
|
|
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
2019-05-17 02:44:47 +05:30
|
|
|
subroutine kinematics_cleavage_opening_init
|
2015-05-28 22:32:23 +05:30
|
|
|
|
2019-05-28 15:36:21 +05:30
|
|
|
integer, allocatable, dimension(:) :: tempInt
|
|
|
|
real(pReal), allocatable, dimension(:) :: tempFloat
|
|
|
|
|
|
|
|
integer :: maxNinstance,p,instance
|
|
|
|
|
|
|
|
write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_cleavage_opening_LABEL//' init -+>>>'
|
|
|
|
|
|
|
|
maxNinstance = 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
|
2015-05-28 22:32:23 +05:30
|
|
|
|
|
|
|
end subroutine kinematics_cleavage_opening_init
|
2019-05-28 15:36:21 +05:30
|
|
|
|
2015-05-28 22:32:23 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
!> @brief contains the constitutive equation for calculating the velocity gradient
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
2019-02-13 04:26:04 +05:30
|
|
|
subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el)
|
2015-05-28 22:32:23 +05:30
|
|
|
|
2019-05-28 15:36:21 +05:30
|
|
|
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
|
|
|
|
|
2019-06-14 13:07:01 +05:30
|
|
|
phase = material_phaseAt(ipc,el)
|
2019-05-28 15:36:21 +05:30
|
|
|
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
|
2015-05-28 22:32:23 +05:30
|
|
|
|
|
|
|
end subroutine kinematics_cleavage_opening_LiAndItsTangent
|
|
|
|
|
|
|
|
end module kinematics_cleavage_opening
|