126 lines
5.3 KiB
Fortran
126 lines
5.3 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating kinematics resulting from thermal expansion
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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submodule(constitutive:constitutive_thermal) kinematics_thermal_expansion
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integer, dimension(:), allocatable :: kinematics_thermal_expansion_instance
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type :: tParameters
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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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A = 0.0_pReal
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end type tParameters
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type(tParameters), dimension(:), allocatable :: param
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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_thermal_expansion_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 :: Ninstances,p,i,k
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real(pReal), dimension(:), allocatable :: temp
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class(tNode), pointer :: &
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phases, &
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phase, &
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kinematics, &
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kinematic_type
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print'(/,a)', ' <<<+- kinematics_thermal_expansion init -+>>>'
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myKinematics = kinematics_active('thermal_expansion',kinematics_length)
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Ninstances = count(myKinematics)
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print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT)
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if(Ninstances == 0) return
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phases => config_material%get('phase')
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allocate(param(Ninstances))
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allocate(kinematics_thermal_expansion_instance(phases%length), source=0)
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do p = 1, phases%length
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if(any(myKinematics(:,p))) kinematics_thermal_expansion_instance(p) = count(myKinematics(:,1:p))
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phase => phases%get(p)
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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_thermal_expansion_instance(p)))
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kinematic_type => kinematics%get(k)
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prm%T_ref = kinematic_type%get_asFloat('T_ref', defaultVal=0.0_pReal)
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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%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%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%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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end associate
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endif
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enddo
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enddo
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end function kinematics_thermal_expansion_init
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!--------------------------------------------------------------------------------------------------
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!> @brief constitutive equation for calculating the velocity gradient
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!--------------------------------------------------------------------------------------------------
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module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, co, ip, el)
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integer, intent(in) :: &
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co, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), intent(out), dimension(3,3) :: &
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Li !< thermal velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLi_dTstar !< derivative of Li with respect to Tstar (4th-order tensor defined to be zero)
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integer :: &
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phase, &
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homog
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real(pReal) :: &
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T, TDot
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phase = material_phaseAt(co,el)
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homog = material_homogenizationAt(el)
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T = temperature(homog)%p(material_homogenizationMemberAt(ip,el))
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TDot = temperatureRate(homog)%p(material_homogenizationMemberAt(ip,el))
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associate(prm => param(kinematics_thermal_expansion_instance(phase)))
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Li = TDot * ( &
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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%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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end subroutine kinematics_thermal_expansion_LiAndItsTangent
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end submodule kinematics_thermal_expansion
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