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all kinematics modules made consistent

This commit is contained in:
Sharan Roongta 2020-09-23 01:16:12 +02:00
parent 190b90d3d4
commit 13cbd1c42e
3 changed files with 53 additions and 53 deletions
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34
src/kinematics_cleavage_opening.f90
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@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_cleavage_opening
integer :: & integer :: &
sum_N_cl !< total number of cleavage planes sum_N_cl !< total number of cleavage planes
real(pReal) :: & real(pReal) :: &
sdot0, & !< opening rate of cleavage planes dot_o, & !< opening rate of cleavage planes
n !< damage rate sensitivity q !< damage rate sensitivity
real(pReal), dimension(:), allocatable :: & real(pReal), dimension(:), allocatable :: &
critLoad g_crit
real(pReal), dimension(:,:,:,:), allocatable :: & real(pReal), dimension(:,:,:,:), allocatable :: &
cleavage_systems cleavage_systems
end type tParameters end type tParameters
@ -70,21 +70,21 @@ module function kinematics_cleavage_opening_init(kinematics_length) result(myKin
N_cl = kinematic_type%get_asInts('N_cl') N_cl = kinematic_type%get_asInts('N_cl')
prm%sum_N_cl = sum(abs(N_cl)) prm%sum_N_cl = sum(abs(N_cl))
prm%n = kinematic_type%get_asFloat('q') prm%q = kinematic_type%get_asFloat('q')
prm%sdot0 = kinematic_type%get_asFloat('dot_o') prm%dot_o = kinematic_type%get_asFloat('dot_o')
prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl)) prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl))
prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal)) phase%get_asFloat('c/a',defaultVal=0.0_pReal))
! expand: family => system ! expand: family => system
prm%critLoad = math_expand(prm%critLoad,N_cl) prm%g_crit = math_expand(prm%g_crit,N_cl)
! sanity checks ! sanity checks
if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' q' if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q'
if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o'
if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit'
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range ! exit if any parameter is out of range
@ -128,13 +128,13 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
dLd_dTstar = 0.0_pReal dLd_dTstar = 0.0_pReal
associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el)))) associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el))))
do i = 1,prm%sum_N_cl do i = 1,prm%sum_N_cl
traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset)**2.0_pReal traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset)**2.0_pReal
traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i)) traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
if (abs(traction_d) > traction_crit + tol_math_check) then if (abs(traction_d) > traction_crit + tol_math_check) then
udotd = sign(1.0_pReal,traction_d)* prm%sdot0 * ((abs(traction_d) - traction_crit)/traction_crit)**prm%n udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q
Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i) Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i)
dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%n / (abs(traction_d) - traction_crit) dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (abs(traction_d) - traction_crit)
forall (k=1:3,l=1:3,m=1:3,n=1:3) & 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) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
+ dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i) + dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i)
@ -142,9 +142,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
if (abs(traction_t) > traction_crit + tol_math_check) then if (abs(traction_t) > traction_crit + tol_math_check) then
udott = sign(1.0_pReal,traction_t)* prm%sdot0 * ((abs(traction_t) - traction_crit)/traction_crit)**prm%n udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q
Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i) Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i)
dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%n / (abs(traction_t) - traction_crit) dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (abs(traction_t) - traction_crit)
forall (k=1:3,l=1:3,m=1:3,n=1:3) & 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) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
+ dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i) + dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i)
@ -152,9 +152,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
if (abs(traction_n) > traction_crit + tol_math_check) then if (abs(traction_n) > traction_crit + tol_math_check) then
udotn = sign(1.0_pReal,traction_n)* prm%sdot0 * ((abs(traction_n) - traction_crit)/traction_crit)**prm%n udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q
Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i) Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i)
dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%n / (abs(traction_n) - traction_crit) dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (abs(traction_n) - traction_crit)
forall (k=1:3,l=1:3,m=1:3,n=1:3) & 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) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
+ dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i) + dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i)

40
src/kinematics_slipplane_opening.f90
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@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_slipplane_opening
integer :: & integer :: &
sum_N_sl !< total number of cleavage planes sum_N_sl !< total number of cleavage planes
real(pReal) :: & real(pReal) :: &
sdot0, & !< opening rate of cleavage planes dot_o, & !< opening rate of cleavage planes
n !< damage rate sensitivity q !< damage rate sensitivity
real(pReal), dimension(:), allocatable :: & real(pReal), dimension(:), allocatable :: &
critLoad g_crit
real(pReal), dimension(:,:,:), allocatable :: & real(pReal), dimension(:,:,:), allocatable :: &
P_d, & P_d, &
P_t, & P_t, &
@ -70,8 +70,8 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi
associate(prm => param(kinematics_slipplane_opening_instance(p))) associate(prm => param(kinematics_slipplane_opening_instance(p)))
kinematic_type => kinematics%get(k) kinematic_type => kinematics%get(k)
prm%sdot0 = kinematic_type%get_asFloat('dot_o') prm%dot_o = kinematic_type%get_asFloat('dot_o')
prm%n = kinematic_type%get_asFloat('q') prm%q = kinematic_type%get_asFloat('q')
N_sl = pl%get_asInts('N_sl') N_sl = pl%get_asInts('N_sl')
prm%sum_N_sl = sum(abs(N_sl)) prm%sum_N_sl = sum(abs(N_sl))
@ -89,15 +89,15 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi
prm%P_n(1:3,1:3,i) = math_outer(n(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 enddo
prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl)) prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl))
! expand: family => system ! expand: family => system
prm%critLoad = math_expand(prm%critLoad,N_sl) prm%g_crit = math_expand(prm%g_crit,N_sl)
! sanity checks ! sanity checks
if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n'
if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0'
if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad'
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range ! exit if any parameter is out of range
@ -150,27 +150,27 @@ module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S
traction_t = math_tensordot(S,prm%P_t(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)) traction_n = math_tensordot(S,prm%P_n(1:3,1:3,i))
traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage
udotd = sign(1.0_pReal,traction_d)* prm%sdot0* ( abs(traction_d)/traction_crit & udotd = sign(1.0_pReal,traction_d)* prm%dot_o* ( abs(traction_d)/traction_crit &
- abs(traction_d)/prm%critLoad(i))**prm%n - abs(traction_d)/prm%g_crit(i))**prm%q
udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit & udott = sign(1.0_pReal,traction_t)* prm%dot_o* ( abs(traction_t)/traction_crit &
- abs(traction_t)/prm%critLoad(i))**prm%n - abs(traction_t)/prm%g_crit(i))**prm%q
udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit & udotn = prm%dot_o* ( max(0.0_pReal,traction_n)/traction_crit &
- max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n - max(0.0_pReal,traction_n)/prm%g_crit(i))**prm%q
if (dNeq0(traction_d)) then if (dNeq0(traction_d)) then
dudotd_dt = udotd*prm%n/traction_d dudotd_dt = udotd*prm%q/traction_d
else else
dudotd_dt = 0.0_pReal dudotd_dt = 0.0_pReal
endif endif
if (dNeq0(traction_t)) then if (dNeq0(traction_t)) then
dudott_dt = udott*prm%n/traction_t dudott_dt = udott*prm%q/traction_t
else else
dudott_dt = 0.0_pReal dudott_dt = 0.0_pReal
endif endif
if (dNeq0(traction_n)) then if (dNeq0(traction_n)) then
dudotn_dt = udotn*prm%n/traction_n dudotn_dt = udotn*prm%q/traction_n
else else
dudotn_dt = 0.0_pReal dudotn_dt = 0.0_pReal
endif endif

32
src/kinematics_thermal_expansion.f90
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@ -11,7 +11,7 @@ submodule(constitutive:constitutive_thermal) kinematics_thermal_expansion
real(pReal) :: & real(pReal) :: &
T_ref T_ref
real(pReal), dimension(3,3,3) :: & real(pReal), dimension(3,3,3) :: &
expansion = 0.0_pReal A = 0.0_pReal
end type tParameters end type tParameters
type(tParameters), dimension(:), allocatable :: param type(tParameters), dimension(:), allocatable :: param
@ -64,13 +64,13 @@ module function kinematics_thermal_expansion_init(kinematics_length) result(myKi
! read up to three parameters (constant, linear, quadratic with T) ! read up to three parameters (constant, linear, quadratic with T)
temp = kinematic_type%get_asFloats('A_11') temp = kinematic_type%get_asFloats('A_11')
prm%expansion(1,1,1:size(temp)) = temp prm%A(1,1,1:size(temp)) = temp
temp = kinematic_type%get_asFloats('A_22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) temp = kinematic_type%get_asFloats('A_22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp))
prm%expansion(2,2,1:size(temp)) = temp prm%A(2,2,1:size(temp)) = temp
temp = kinematic_type%get_asFloats('A_33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) temp = kinematic_type%get_asFloats('A_33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp))
prm%expansion(3,3,1:size(temp)) = temp prm%A(3,3,1:size(temp)) = temp
do i=1, size(prm%expansion,3) do i=1, size(prm%A,3)
prm%expansion(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%expansion(1:3,1:3,i),& prm%A(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%A(1:3,1:3,i),&
phase%get_asString('lattice')) phase%get_asString('lattice'))
enddo enddo
@ -94,13 +94,13 @@ pure module function kinematics_thermal_expansion_initialStrain(homog,phase,offs
offset offset
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
initialStrain !< initial thermal strain (should be small strain, though) initialStrain !< initial thermal strain (should be small strain, though)
associate(prm => param(kinematics_thermal_expansion_instance(phase))) associate(prm => param(kinematics_thermal_expansion_instance(phase)))
initialStrain = & initialStrain = &
(temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%expansion(1:3,1:3,1) + & ! constant coefficient (temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%A(1:3,1:3,1) + & ! constant coefficient
(temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%expansion(1:3,1:3,2) + & ! linear coefficient (temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%A(1:3,1:3,2) + & ! linear coefficient
(temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%expansion(1:3,1:3,3) ! quadratic coefficient (temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%A(1:3,1:3,3) ! quadratic coefficient
end associate end associate
end function kinematics_thermal_expansion_initialStrain end function kinematics_thermal_expansion_initialStrain
@ -133,14 +133,14 @@ module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, i
associate(prm => param(kinematics_thermal_expansion_instance(phase))) associate(prm => param(kinematics_thermal_expansion_instance(phase)))
Li = TDot * ( & Li = TDot * ( &
prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient prm%A(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient
+ prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient + prm%A(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient
+ prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient + prm%A(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient
) / & ) / &
(1.0_pReal & (1.0_pReal &
+ prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. & + prm%A(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. &
+ prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. & + prm%A(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. &
+ prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. & + prm%A(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. &
) )
end associate end associate
dLi_dTstar = 0.0_pReal dLi_dTstar = 0.0_pReal