168 lines
7.9 KiB
Fortran
168 lines
7.9 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating kinematics resulting from opening of cleavage planes
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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submodule(constitutive:constitutive_damage) kinematics_cleavage_opening
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integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance
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type :: tParameters !< container type for internal constitutive parameters
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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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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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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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type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance)
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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module function kinematics_cleavage_opening_init(kinematics_length) result(myKinematics)
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integer, intent(in) :: kinematics_length
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logical, dimension(:,:), allocatable :: myKinematics
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integer :: Ninstance,p,k
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integer, dimension(:), allocatable :: N_cl !< active number of cleavage systems per family
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character(len=pStringLen) :: extmsg = ''
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class(tNode), pointer :: &
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phases, &
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phase, &
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pl, &
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kinematics, &
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kinematic_type
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print'(/,a)', ' <<<+- kinematics_cleavage_opening init -+>>>'
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myKinematics = kinematics_active('cleavage_opening',kinematics_length)
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Ninstance = count(myKinematics)
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print'(a,i2)', ' # instances: ',Ninstance; flush(IO_STDOUT)
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if(Ninstance == 0) return
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phases => config_material%get('phase')
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allocate(param(Ninstance))
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allocate(kinematics_cleavage_opening_instance(phases%length), source=0)
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do p = 1, phases%length
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if(any(myKinematics(:,p))) kinematics_cleavage_opening_instance(p) = count(myKinematics(:,1:p))
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phase => phases%get(p)
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pl => phase%get('plasticity')
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if(count(myKinematics(:,p)) == 0) cycle
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kinematics => phase%get('kinematics')
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do k = 1, kinematics%length
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if(myKinematics(k,p)) then
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associate(prm => param(kinematics_cleavage_opening_instance(p)))
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kinematic_type => kinematics%get(k)
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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%q = kinematic_type%get_asFloat('q')
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prm%dot_o = kinematic_type%get_asFloat('dot_o')
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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%g_crit = math_expand(prm%g_crit,N_cl)
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! sanity checks
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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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if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(cleavage_opening)')
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end associate
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endif
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enddo
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enddo
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end function kinematics_cleavage_opening_init
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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!--------------------------------------------------------------------------------------------------
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module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el)
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integer, intent(in) :: &
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ipc, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), intent(in), dimension(3,3) :: &
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S
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real(pReal), intent(out), dimension(3,3) :: &
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Ld !< damage velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor)
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integer :: &
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homog, damageOffset, &
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i, k, l, m, n
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real(pReal) :: &
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traction_d, traction_t, traction_n, traction_crit, &
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udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
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homog = material_homogenizationAt(el)
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damageOffset = damageMapping(homog)%p(ip,el)
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Ld = 0.0_pReal
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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%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%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%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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endif
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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%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%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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endif
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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%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%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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endif
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enddo
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end associate
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end subroutine kinematics_cleavage_opening_LiAndItsTangent
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end submodule kinematics_cleavage_opening
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