all kinematics modules made consistent
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190b90d3d4
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@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_cleavage_opening
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integer :: &
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sum_N_cl !< total number of cleavage planes
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real(pReal) :: &
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sdot0, & !< opening rate of cleavage planes
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n !< damage rate sensitivity
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dot_o, & !< opening rate of cleavage planes
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q !< damage rate sensitivity
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real(pReal), dimension(:), allocatable :: &
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critLoad
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g_crit
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real(pReal), dimension(:,:,:,:), allocatable :: &
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cleavage_systems
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end type tParameters
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@ -70,21 +70,21 @@ module function kinematics_cleavage_opening_init(kinematics_length) result(myKin
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N_cl = kinematic_type%get_asInts('N_cl')
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prm%sum_N_cl = sum(abs(N_cl))
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prm%n = kinematic_type%get_asFloat('q')
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prm%sdot0 = kinematic_type%get_asFloat('dot_o')
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prm%q = kinematic_type%get_asFloat('q')
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prm%dot_o = kinematic_type%get_asFloat('dot_o')
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prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl))
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prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl))
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prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),&
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phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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! expand: family => system
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prm%critLoad = math_expand(prm%critLoad,N_cl)
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prm%g_crit = math_expand(prm%g_crit,N_cl)
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! sanity checks
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if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' q'
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if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o'
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if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit'
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if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q'
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if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o'
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if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit'
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!--------------------------------------------------------------------------------------------------
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! exit if any parameter is out of range
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@ -128,13 +128,13 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
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dLd_dTstar = 0.0_pReal
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associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el))))
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do i = 1,prm%sum_N_cl
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traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset)**2.0_pReal
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traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset)**2.0_pReal
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traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
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if (abs(traction_d) > traction_crit + tol_math_check) then
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udotd = sign(1.0_pReal,traction_d)* prm%sdot0 * ((abs(traction_d) - traction_crit)/traction_crit)**prm%n
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udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i)
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dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%n / (abs(traction_d) - traction_crit)
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dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (abs(traction_d) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i)
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@ -142,9 +142,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
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traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
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if (abs(traction_t) > traction_crit + tol_math_check) then
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udott = sign(1.0_pReal,traction_t)* prm%sdot0 * ((abs(traction_t) - traction_crit)/traction_crit)**prm%n
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udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i)
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dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%n / (abs(traction_t) - traction_crit)
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dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (abs(traction_t) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i)
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@ -152,9 +152,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S,
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traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
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if (abs(traction_n) > traction_crit + tol_math_check) then
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udotn = sign(1.0_pReal,traction_n)* prm%sdot0 * ((abs(traction_n) - traction_crit)/traction_crit)**prm%n
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udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i)
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dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%n / (abs(traction_n) - traction_crit)
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dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (abs(traction_n) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i)
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@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_slipplane_opening
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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
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n !< damage rate sensitivity
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dot_o, & !< opening rate of cleavage planes
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q !< damage rate sensitivity
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real(pReal), dimension(:), allocatable :: &
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critLoad
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g_crit
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real(pReal), dimension(:,:,:), allocatable :: &
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P_d, &
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P_t, &
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@ -70,8 +70,8 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi
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associate(prm => param(kinematics_slipplane_opening_instance(p)))
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kinematic_type => kinematics%get(k)
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prm%sdot0 = kinematic_type%get_asFloat('dot_o')
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prm%n = kinematic_type%get_asFloat('q')
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prm%dot_o = kinematic_type%get_asFloat('dot_o')
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prm%q = kinematic_type%get_asFloat('q')
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N_sl = pl%get_asInts('N_sl')
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prm%sum_N_sl = sum(abs(N_sl))
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@ -89,15 +89,15 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi
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prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i))
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enddo
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prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl))
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prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl))
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! expand: family => system
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prm%critLoad = math_expand(prm%critLoad,N_sl)
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prm%g_crit = math_expand(prm%g_crit,N_sl)
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! sanity checks
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if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n'
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if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0'
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if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad'
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if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n'
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if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0'
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if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad'
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!--------------------------------------------------------------------------------------------------
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! exit if any parameter is out of range
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@ -150,27 +150,27 @@ module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S
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traction_t = math_tensordot(S,prm%P_t(1:3,1:3,i))
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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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traction_crit = prm%g_crit(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 &
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- abs(traction_d)/prm%critLoad(i))**prm%n
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udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit &
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- abs(traction_t)/prm%critLoad(i))**prm%n
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udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit &
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- max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n
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udotd = sign(1.0_pReal,traction_d)* prm%dot_o* ( abs(traction_d)/traction_crit &
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- abs(traction_d)/prm%g_crit(i))**prm%q
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udott = sign(1.0_pReal,traction_t)* prm%dot_o* ( abs(traction_t)/traction_crit &
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- abs(traction_t)/prm%g_crit(i))**prm%q
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udotn = prm%dot_o* ( max(0.0_pReal,traction_n)/traction_crit &
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- max(0.0_pReal,traction_n)/prm%g_crit(i))**prm%q
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if (dNeq0(traction_d)) then
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dudotd_dt = udotd*prm%n/traction_d
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dudotd_dt = udotd*prm%q/traction_d
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else
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dudotd_dt = 0.0_pReal
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endif
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if (dNeq0(traction_t)) then
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dudott_dt = udott*prm%n/traction_t
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dudott_dt = udott*prm%q/traction_t
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else
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dudott_dt = 0.0_pReal
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endif
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if (dNeq0(traction_n)) then
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dudotn_dt = udotn*prm%n/traction_n
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dudotn_dt = udotn*prm%q/traction_n
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else
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dudotn_dt = 0.0_pReal
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endif
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@ -11,7 +11,7 @@ submodule(constitutive:constitutive_thermal) kinematics_thermal_expansion
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real(pReal) :: &
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T_ref
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real(pReal), dimension(3,3,3) :: &
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expansion = 0.0_pReal
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A = 0.0_pReal
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end type tParameters
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type(tParameters), dimension(:), allocatable :: param
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@ -64,13 +64,13 @@ module function kinematics_thermal_expansion_init(kinematics_length) result(myKi
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! read up to three parameters (constant, linear, quadratic with T)
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temp = kinematic_type%get_asFloats('A_11')
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prm%expansion(1,1,1:size(temp)) = temp
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prm%A(1,1,1:size(temp)) = temp
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temp = kinematic_type%get_asFloats('A_22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp))
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prm%expansion(2,2,1:size(temp)) = temp
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prm%A(2,2,1:size(temp)) = temp
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temp = kinematic_type%get_asFloats('A_33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp))
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prm%expansion(3,3,1:size(temp)) = temp
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do i=1, size(prm%expansion,3)
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prm%expansion(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%expansion(1:3,1:3,i),&
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prm%A(3,3,1:size(temp)) = temp
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do i=1, size(prm%A,3)
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prm%A(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%A(1:3,1:3,i),&
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phase%get_asString('lattice'))
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enddo
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@ -98,9 +98,9 @@ pure module function kinematics_thermal_expansion_initialStrain(homog,phase,offs
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associate(prm => param(kinematics_thermal_expansion_instance(phase)))
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initialStrain = &
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(temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%expansion(1:3,1:3,1) + & ! constant coefficient
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(temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%expansion(1:3,1:3,2) + & ! linear coefficient
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(temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%expansion(1:3,1:3,3) ! quadratic coefficient
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(temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%A(1:3,1:3,1) + & ! constant coefficient
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(temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%A(1:3,1:3,2) + & ! linear coefficient
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(temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%A(1:3,1:3,3) ! quadratic coefficient
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end associate
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end function kinematics_thermal_expansion_initialStrain
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@ -133,14 +133,14 @@ module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, i
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associate(prm => param(kinematics_thermal_expansion_instance(phase)))
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Li = TDot * ( &
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prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient
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+ prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient
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+ prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient
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prm%A(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient
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+ prm%A(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient
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+ prm%A(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient
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) / &
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(1.0_pReal &
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+ prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. &
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+ prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. &
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+ prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. &
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+ prm%A(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. &
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+ prm%A(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. &
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+ prm%A(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. &
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)
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end associate
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dLi_dTstar = 0.0_pReal
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