needs renaming
This commit is contained in:
Philip Eisenlohr
parent
ffa6af1853
commit
1420b773f0
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!*****************************************************
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!* Module: CONSTITUTIVE_J2 *
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!*****************************************************
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!* contains: *
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!* - constitutive equations *
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!* - parameters definition *
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!*****************************************************
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MODULE constitutive_j2
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!*** Include other modules ***
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use prec, only: pReal,pInt
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implicit none
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character (len=*), parameter :: constitutive_j2_label = 'j2'
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integer(pInt), dimension(:), allocatable :: constitutive_j2_sizeDotState, &
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constitutive_j2_sizeState, &
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constitutive_j2_sizePostResults
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character(len=64), dimension(:,:), allocatable :: constitutive_j2_output
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integer(pInt), dimension(:), allocatable :: constitutive_j2_structure
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real(pReal), dimension(:), allocatable :: constitutive_j2_mu
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real(pReal), dimension(:), allocatable :: constitutive_j2_lambda
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real(pReal), dimension(:,:,:), allocatable :: constitutive_j2_Cslip_66
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!* Visco-plastic constitutive_j2 parameters
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real(pReal), dimension(:), allocatable :: constitutive_j2_fTaylor
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real(pReal), dimension(:), allocatable :: constitutive_j2_s0_slip
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real(pReal), dimension(:), allocatable :: constitutive_j2_gdot0_slip
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real(pReal), dimension(:), allocatable :: constitutive_j2_n_slip
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real(pReal), dimension(:), allocatable :: constitutive_j2_h0
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real(pReal), dimension(:), allocatable :: constitutive_j2_s_sat
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real(pReal), dimension(:), allocatable :: constitutive_j2_w0
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CONTAINS
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!****************************************
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!* - constitutive_init
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!* - constitutive_homogenizedC
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!* - constitutive_microstructure
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!* - constitutive_LpAndItsTangent
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!* - consistutive_dotState
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!* - consistutive_postResults
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!****************************************
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subroutine constitutive_j2_init(file)
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!**************************************
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!* Module initialization *
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!**************************************
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use prec, only: pInt, pReal
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use math, only: math_Mandel3333to66, math_Voigt66to3333
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use IO
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use material
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integer(pInt), intent(in) :: file
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integer(pInt), parameter :: maxNchunks = 7
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integer(pInt), dimension(1+2*maxNchunks) :: positions
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integer(pInt) section, maxNinstance, i,j,k,l, output
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character(len=64) tag
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character(len=1024) line
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maxNinstance = count(phase_constitution == constitutive_j2_label)
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if (maxNinstance == 0) return
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allocate(constitutive_j2_sizeDotState(maxNinstance)) ; constitutive_j2_sizeDotState = 0_pInt
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allocate(constitutive_j2_sizeState(maxNinstance)) ; constitutive_j2_sizeState = 0_pInt
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allocate(constitutive_j2_sizePostResults(maxNinstance)); constitutive_j2_sizePostResults = 0_pInt
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allocate(constitutive_j2_output(maxval(phase_Noutput), &
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maxNinstance)) ; constitutive_j2_output = ''
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allocate(constitutive_j2_mu(maxNinstance)) ; constitutive_j2_mu = 0.0_pReal
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allocate(constitutive_j2_lambda(maxNinstance)) ; constitutive_j2_lambda = 0.0_pReal
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allocate(constitutive_j2_Cslip_66(6,6,maxNinstance)) ; constitutive_j2_Cslip_66 = 0.0_pReal
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allocate(constitutive_j2_fTaylor(maxNinstance)) ; constitutive_j2_fTaylor = 0.0_pReal
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allocate(constitutive_j2_s0_slip(maxNinstance)) ; constitutive_j2_s0_slip = 0.0_pReal
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allocate(constitutive_j2_gdot0_slip(maxNinstance)) ; constitutive_j2_gdot0_slip = 0.0_pReal
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allocate(constitutive_j2_n_slip(maxNinstance)) ; constitutive_j2_n_slip = 0.0_pReal
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allocate(constitutive_j2_h0(maxNinstance)) ; constitutive_j2_h0 = 0.0_pReal
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allocate(constitutive_j2_s_sat(maxNinstance)) ; constitutive_j2_s_sat = 0.0_pReal
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allocate(constitutive_j2_w0(maxNinstance)) ; constitutive_j2_w0 = 0.0_pReal
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allocate(constitutive_j2_latent(maxNinstance)) ; constitutive_j2_latent = 1.0_pReal
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rewind(file)
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line = ''
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section = 0
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do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
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read(file,'(a1024)',END=100) line
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enddo
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do ! read thru sections of phase part
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read(file,'(a1024)',END=100) line
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if (IO_isBlank(line)) cycle ! skip empty lines
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if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
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if (IO_getTag(line,'[',']') /= '') then ! next section
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section = section + 1
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output = 0 ! reset output counter
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endif
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if (section > 0 .and. phase_constitution(section) == constitutive_j2_label) then ! one of my sections
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i = phase_constitutionInstance(section) ! which instance of my constitution is present phase
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positions = IO_stringPos(line,maxNchunks)
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tag = IO_lc(IO_stringValue(line,positions,1)) ! extract key
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select case(tag)
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case ('(output)')
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output = output + 1
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constitutive_j2_output(output,i) = IO_lc(IO_stringValue(line,positions,2))
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case ('nslip')
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constitutive_j2_Nslip(i) = IO_intValue(line,positions,2)
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case ('mu')
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constitutive_j2_mu(i) = IO_floatValue(line,positions,2)
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case ('lambda')
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constitutive_j2_lambda(i) = IO_floatValue(line,positions,2)
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case ('s0_slip')
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constitutive_j2_s0_slip(i) = IO_floatValue(line,positions,2)
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case ('gdot0_slip')
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constitutive_j2_gdot0_slip(i) = IO_floatValue(line,positions,2)
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case ('n_slip')
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constitutive_j2_n_slip(i) = IO_floatValue(line,positions,2)
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case ('h0')
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constitutive_j2_h0(i) = IO_floatValue(line,positions,2)
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case ('s_sat')
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constitutive_j2_s_sat(i) = IO_floatValue(line,positions,2)
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case ('w0')
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constitutive_j2_w0(i) = IO_floatValue(line,positions,2)
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case ('taylor')
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constitutive_j2_fTaylor(i) = IO_floatValue(line,positions,2)
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end select
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endif
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enddo
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100 do i = 1,maxNinstance ! sanity checks
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if (constitutive_j2_s0_slip(i) < 0.0_pReal) call IO_error(203)
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if (constitutive_j2_gdot0_slip(i) <= 0.0_pReal) call IO_error(204)
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if (constitutive_j2_n_slip(i) <= 0.0_pReal) call IO_error(205)
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if (constitutive_j2_h0(i) <= 0.0_pReal) call IO_error(206)
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if (constitutive_j2_s_sat(i) <= 0.0_pReal) call IO_error(207)
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if (constitutive_j2_w0(i) <= 0.0_pReal) call IO_error(208)
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if (constitutive_j2_fTaylor(i) <= 0.0_pReal) call IO_error(240)
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enddo
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do i = 1,maxNinstance
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constitutive_j2_sizeDotState(i) = 1
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constitutive_j2_sizeState(i) = 1
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do j = 1,maxval(phase_Noutput)
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select case(constitutive_j2_output(j,i))
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case('flowstress')
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constitutive_j2_sizePostResults(i) = &
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constitutive_j2_sizePostResults(i) + 1
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case('strainrate')
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constitutive_j2_sizePostResults(i) = &
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constitutive_j2_sizePostResults(i) + 1
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end select
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enddo
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forall(k=1:3)
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forall(j=1:3) &
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constitutive_j2_Cslip_66(k,j,i) = constitutive_j2_C12(i)
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constitutive_j2_Cslip_66(k,k,i) = constitutive_j2_C11(i)
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constitutive_j2_Cslip_66(k+3,k+3,i) = constitutive_j2_C44(i)
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end forall
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constitutive_j2_Cslip_66(:,:,i) = &
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math_Mandel3333to66(math_Voigt66to3333(constitutive_j2_Cslip_66(:,:,i)))
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enddo
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return
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end subroutine
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function constitutive_j2_stateInit(ipc,ip,el)
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!*********************************************************************
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!* initial microstructural state *
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!*********************************************************************
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use prec, only: pReal,pInt
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use material, only: material_phase, phase_constitutionInstance
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implicit none
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!* Definition of variables
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integer(pInt), intent(in) :: ipc,ip,el
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integer(pInt) matID
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real(pReal), dimension(1) :: &
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constitutive_j2_stateInit
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matID = phase_constitutionInstance(material_phase(ipc,ip,el))
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constitutive_j2_stateInit = constitutive_j2_s0_slip(matID)
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return
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end function
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function constitutive_j2_homogenizedC(state,ipc,ip,el)
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!*********************************************************************
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!* homogenized elacticity matrix *
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!* INPUT: *
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!* - state : state variables *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!*********************************************************************
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use prec, only: pReal,pInt,p_vec
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use mesh, only: mesh_NcpElems,mesh_maxNips
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use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
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implicit none
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!* Definition of variables
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integer(pInt), intent(in) :: ipc,ip,el
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integer(pInt) matID
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real(pReal), dimension(6,6) :: constitutive_j2_homogenizedC
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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matID = phase_constitutionInstance(material_phase(ipc,ip,el))
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constitutive_j2_homogenizedC = constitutive_j2_Cslip_66(:,:,matID)
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return
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end function
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subroutine constitutive_j2_microstructure(Temperature,state,ipc,ip,el)
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!*********************************************************************
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!* calculate derived quantities from state (not used here) *
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!* INPUT: *
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!* - Tp : temperature *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!*********************************************************************
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use prec, only: pReal,pInt,p_vec
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use mesh, only: mesh_NcpElems,mesh_maxNips
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use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
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implicit none
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!* Definition of variables
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integer(pInt) ipc,ip,el, matID
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real(pReal) Temperature
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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matID = phase_constitutionInstance(material_phase(ipc,ip,el))
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end subroutine
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subroutine constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,ipc,ip,el)
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!*********************************************************************
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!* plastic velocity gradient and its tangent *
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!* INPUT: *
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!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
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!* - ipc : component-ID at current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!* OUTPUT: *
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!* - Lp : plastic velocity gradient *
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!* - dLp_dTstar : derivative of Lp (4th-rank tensor) *
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!*********************************************************************
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use prec, only: pReal,pInt,p_vec
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use math, only: math_mul6x6,math_Mandel6to33,math_Plain3333to99
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use lattice, only: lattice_Sslip,lattice_Sslip_v
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use mesh, only: mesh_NcpElems,mesh_maxNips
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use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
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implicit none
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!* Definition of variables
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integer(pInt) ipc,ip,el
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integer(pInt) matID,i,k,l,m,n
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real(pReal) Temperature
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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real(pReal), dimension(6) :: Tstar_v
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real(pReal), dimension(3,3) :: Lp
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real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
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real(pReal), dimension(9,9) :: dLp_dTstar
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real(pReal), norm_Tstar
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matID = phase_constitutionInstance(material_phase(ipc,ip,el))
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norm_Tstar = dsqrt(math_mul6x6(Tstar_v,Tstar_v))
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!* Calculation of Lp
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Lp = math_Mandel6to33(Tstar_v)/norm_Tstar*constitutive_j2_gdot0_slip(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))**constitutive_j2_n_slip(matID)
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!* Calculation of the tangent of Lp
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dLp_dTstar3333 = 0.0_pReal
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dLp_dTstar = 0.0_pReal
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do i = 1,constitutive_phenomenological_Nslip(matID)
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dgdot_dtauslip(i) = constitutive_phenomenological_gdot0_slip(matID)*(abs(tau_slip(i))/state(ipc,ip,el)%p(i))**&
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(constitutive_phenomenological_n_slip(matID)-1.0_pReal)*&
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constitutive_phenomenological_n_slip(matID)/state(ipc,ip,el)%p(i)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
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dgdot_dtauslip(i)*lattice_Sslip(k,l,i,constitutive_phenomenological_structure(matID))* &
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lattice_Sslip(m,n,i,constitutive_phenomenological_structure(matID))
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enddo
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dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
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return
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end subroutine
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function constitutive_j2_dotState(Tstar_v,Temperature,state,ipc,ip,el)
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!*********************************************************************
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!* rate of change of microstructure *
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!* INPUT: *
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!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
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!* - ipc : component-ID at current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!* OUTPUT: *
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!* - constitutive_dotState : evolution of state variable *
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!*********************************************************************
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use prec, only: pReal,pInt,p_vec
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use math, only: math_mul6x6
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use lattice, only: lattice_Sslip_v
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use mesh, only: mesh_NcpElems,mesh_maxNips
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use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
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implicit none
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!* Definition of variables
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integer(pInt) ipc,ip,el
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integer(pInt) matID,i,n
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real(pReal) Temperature,tau_slip,gdot_slip
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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real(pReal), dimension(6) :: Tstar_v
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||||||
real(pReal), dimension(1) :: &
|
|
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constitutive_phenomenological_dotState,self_hardening
|
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||||||
real(pReal), norm_Tstar
|
|
||||||
|
|
||||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
|
||||||
|
|
||||||
norm_Tstar = dsqrt(math_mul6x6(Tstar_v,Tstar_v))
|
|
||||||
constitutive_j2_dotState = constitutive_j2_gdot0_slip(matID)/constitutive_j2_fTaylor(matID)* &
|
|
||||||
(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))** &
|
|
||||||
constitutive_j2_n_slip(matID) * &
|
|
||||||
constitutive_j2_h0(matID)*(1.0_pReal-state(ipc,ip,el)%p(1)/constitutive_j2_s0_sat(matID))** &
|
|
||||||
constitutive_j2_w0(matID)
|
|
||||||
|
|
||||||
return
|
|
||||||
|
|
||||||
end function
|
|
||||||
|
|
||||||
|
|
||||||
pure function constitutive_phenomenological_postResults(Tstar_v,Temperature,dt,state,ipc,ip,el)
|
|
||||||
!*********************************************************************
|
|
||||||
!* return array of constitutive results *
|
|
||||||
!* INPUT: *
|
|
||||||
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
|
||||||
!* - dt : current time increment *
|
|
||||||
!* - ipc : component-ID at current integration point *
|
|
||||||
!* - ip : current integration point *
|
|
||||||
!* - el : current element *
|
|
||||||
!*********************************************************************
|
|
||||||
use prec, only: pReal,pInt,p_vec
|
|
||||||
use math, only: math_mul6x6
|
|
||||||
use lattice, only: lattice_Sslip_v
|
|
||||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
|
||||||
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput
|
|
||||||
implicit none
|
|
||||||
|
|
||||||
!* Definition of variables
|
|
||||||
integer(pInt), intent(in) :: ipc,ip,el
|
|
||||||
real(pReal), intent(in) :: dt,Temperature
|
|
||||||
real(pReal), dimension(6), intent(in) :: Tstar_v
|
|
||||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
|
|
||||||
integer(pInt) matID,o,i,c,n
|
|
||||||
real(pReal) norm_Tstar
|
|
||||||
real(pReal), dimension(constitutive_j2_sizePostResults(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
|
||||||
constitutive_phenomenological_postResults
|
|
||||||
|
|
||||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
|
||||||
norm_Tstar = dsqrt(math_mul6x6(Tstar_v,Tstar_v))
|
|
||||||
c = 0_pInt
|
|
||||||
constitutive_j2_postResults = 0.0_pReal
|
|
||||||
|
|
||||||
do o = 1,phase_Noutput(material_phase(ipc,ip,el))
|
|
||||||
select case(constitutive_j2_output(o,matID))
|
|
||||||
case ('flowstress')
|
|
||||||
constitutive_j2_postResults(c+1) = state(ipc,ip,el)%p(1)
|
|
||||||
c = c + 1
|
|
||||||
case ('strainrate')
|
|
||||||
constitutive_j2_postResults(c+1) = constitutive_j2_gdot0_slip(matID)/constitutive_j2_fTaylor(matID)* &
|
|
||||||
(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))** &
|
|
||||||
constitutive_j2_n_slip(matID)
|
|
||||||
c = c + 1
|
|
||||||
end select
|
|
||||||
enddo
|
|
||||||
|
|
||||||
return
|
|
||||||
|
|
||||||
end function
|
|
||||||
|
|
||||||
END MODULE
|
|
||||||
Loading…
Reference in New Issue