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!*****************************************************
!* Module: CONSTITUTIVE_PHENOPOWERLAW *
!*****************************************************
!* contains: *
!* - constitutive equations *
!* - parameters definition *
!*****************************************************
! [Alu]
! constitution phenopowerlaw
! (output) resistance_slip
! (output) shearrate_slip
! (output) resolvedstress_slip
! (output) totalshear
! (output) resistance_twin
! (output) shearrate_twin
! (output) resolvedstress_twin
! (output) totalvolfrac
! lattice_structure hex
! covera_ratio 1.57
! Nslip 3 3 6 12 # per family
! Ntwin 6 6 6 6 # per family
!
! c11 106.75e9
! c12 60.41e9
! c44 28.34e9
!
! gdot0_slip 0.001
! n_slip 20
! tau0_slip 31e6 31e6 60e6 123e6 # per family
! tausat_slip 63e6 90e6 200e6 400e6 # per family
! gdot0_twin 0.001
! n_twin 20
! tau0_twin 31e6 31e6 60e6 123e6 # per family
! s_pr 100e6 # push-up factor for slip saturation due to twinning
! twin_b 2
! twin_c 25
! twin_d 6
! twin_e 9
! h0_slipslip 75e6
! h0_sliptwin 75e6
! h0_twinslip 75e6
! h0_twintwin 75e6
! interaction_slipslip 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
! interaction_sliptwin 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
! interaction_twinslip 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
! interaction_twintwin 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
MODULE constitutive_phenopowerlaw
!*** Include other modules ***
use prec , only : pReal , pInt
implicit none
character ( len = * ) , parameter :: constitutive_phenopowerlaw_label = 'phenopowerlaw'
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_sizeDotState , &
constitutive_phenopowerlaw_sizeState , &
constitutive_phenopowerlaw_sizePostResults ! cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target :: constitutive_phenopowerlaw_sizePostResult ! size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target :: constitutive_phenopowerlaw_output ! name of each post result output
character ( len = 32 ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_structureName
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_structure
integer ( pInt ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_Nslip ! active number of slip systems per family
integer ( pInt ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_Ntwin ! active number of twin systems per family
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_totalNslip ! no. of slip system used in simulation
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_totalNtwin ! no. of twin system used in simulation
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_CoverA
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_C11
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_C12
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_C13
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_C33
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_C44
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_phenopowerlaw_Cslip_66
!* Visco-plastic constitutive_phenomenological parameters
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_gdot0_slip
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_n_slip
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_tau0_slip
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_tausat_slip
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_gdot0_twin
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_n_twin
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_tau0_twin
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_spr
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_twinB
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_twinC
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_twinD
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_twinE
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_h0_slipslip
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_h0_sliptwin
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_h0_twinslip
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_phenopowerlaw_h0_twintwin
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_interaction_slipslip
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_interaction_sliptwin
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_interaction_twinslip
real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_phenopowerlaw_interaction_twintwin
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_phenopowerlaw_hardeningMatrix_slipslip
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_phenopowerlaw_hardeningMatrix_sliptwin
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_phenopowerlaw_hardeningMatrix_twinslip
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_phenopowerlaw_hardeningMatrix_twintwin
CONTAINS
!****************************************
!* - constitutive_init
!* - constitutive_stateInit
!* - constitutive_homogenizedC
!* - constitutive_microstructure
!* - constitutive_LpAndItsTangent
!* - consistutive_dotState
!* - consistutive_postResults
!****************************************
subroutine constitutive_phenopowerlaw_init ( file )
!**************************************
!* Module initialization *
!**************************************
use prec , only : pInt , pReal
use math , only : math_Mandel3333to66 , math_Voigt66to3333
use IO
use material
use lattice , only : lattice_initializeStructure , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_maxNinteraction , lattice_NslipSystem , lattice_NtwinSystem , &
lattice_interactionSlipSlip , lattice_interactionSlipTwin , lattice_interactionTwinSlip , lattice_interactionTwinTwin
integer ( pInt ) , intent ( in ) :: file
integer ( pInt ) , parameter :: maxNchunks = 21
integer ( pInt ) , dimension ( 1 + 2 * maxNchunks ) :: positions
integer ( pInt ) section , maxNinstance , i , j , k , l , m , output , mySize
character ( len = 64 ) tag
character ( len = 1024 ) line
write ( 6 , * )
write ( 6 , '(a20,a20,a12)' ) '<<<+- constitutive_' , constitutive_phenopowerlaw_label , ' init -+>>>'
write ( 6 , * )
maxNinstance = count ( phase_constitution == constitutive_phenopowerlaw_label )
if ( maxNinstance == 0 ) return
allocate ( constitutive_phenopowerlaw_sizeDotState ( maxNinstance ) ) ; constitutive_phenopowerlaw_sizeDotState = 0_pInt
allocate ( constitutive_phenopowerlaw_sizeState ( maxNinstance ) ) ; constitutive_phenopowerlaw_sizeState = 0_pInt
allocate ( constitutive_phenopowerlaw_sizePostResults ( maxNinstance ) ) ; constitutive_phenopowerlaw_sizePostResults = 0_pInt
allocate ( constitutive_phenopowerlaw_sizePostResult ( maxval ( phase_Noutput ) , &
maxNinstance ) ) ; constitutive_phenopowerlaw_sizePostResult = 0_pInt
allocate ( constitutive_phenopowerlaw_output ( maxval ( phase_Noutput ) , &
maxNinstance ) ) ; constitutive_phenopowerlaw_output = ''
allocate ( constitutive_phenopowerlaw_structureName ( maxNinstance ) ) ; constitutive_phenopowerlaw_structureName = ''
allocate ( constitutive_phenopowerlaw_structure ( maxNinstance ) ) ; constitutive_phenopowerlaw_structure = 0_pInt
allocate ( constitutive_phenopowerlaw_Nslip ( lattice_maxNslipFamily , &
maxNinstance ) ) ; constitutive_phenopowerlaw_Nslip = 0_pInt
allocate ( constitutive_phenopowerlaw_Ntwin ( lattice_maxNtwinFamily , &
maxNinstance ) ) ; constitutive_phenopowerlaw_Ntwin = 0_pInt
allocate ( constitutive_phenopowerlaw_totalNslip ( maxNinstance ) ) ; constitutive_phenopowerlaw_totalNslip = 0_pInt !no. of slip system used in simulation (YJ.RO)
allocate ( constitutive_phenopowerlaw_totalNtwin ( maxNinstance ) ) ; constitutive_phenopowerlaw_totalNtwin = 0_pInt !no. of twin system used in simulation (YJ.RO)
allocate ( constitutive_phenopowerlaw_CoverA ( maxNinstance ) ) ; constitutive_phenopowerlaw_CoverA = 0.0_pReal
allocate ( constitutive_phenopowerlaw_C11 ( maxNinstance ) ) ; constitutive_phenopowerlaw_C11 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_C12 ( maxNinstance ) ) ; constitutive_phenopowerlaw_C12 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_C13 ( maxNinstance ) ) ; constitutive_phenopowerlaw_C13 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_C33 ( maxNinstance ) ) ; constitutive_phenopowerlaw_C33 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_C44 ( maxNinstance ) ) ; constitutive_phenopowerlaw_C44 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_Cslip_66 ( 6 , 6 , maxNinstance ) ) ; constitutive_phenopowerlaw_Cslip_66 = 0.0_pReal
allocate ( constitutive_phenopowerlaw_gdot0_slip ( maxNinstance ) ) ; constitutive_phenopowerlaw_gdot0_slip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_n_slip ( maxNinstance ) ) ; constitutive_phenopowerlaw_n_slip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_tau0_slip ( lattice_maxNslipFamily , &
maxNinstance ) ) ; constitutive_phenopowerlaw_tau0_slip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_tausat_slip ( lattice_maxNslipFamily , &
maxNinstance ) ) ; constitutive_phenopowerlaw_tausat_slip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_gdot0_twin ( maxNinstance ) ) ; constitutive_phenopowerlaw_gdot0_twin = 0.0_pReal
allocate ( constitutive_phenopowerlaw_n_twin ( maxNinstance ) ) ; constitutive_phenopowerlaw_n_twin = 0.0_pReal
allocate ( constitutive_phenopowerlaw_tau0_twin ( lattice_maxNtwinFamily , &
maxNinstance ) ) ; constitutive_phenopowerlaw_tau0_twin = 0.0_pReal
allocate ( constitutive_phenopowerlaw_spr ( maxNinstance ) ) ; constitutive_phenopowerlaw_spr = 0.0_pReal
allocate ( constitutive_phenopowerlaw_twinB ( maxNinstance ) ) ; constitutive_phenopowerlaw_twinB = 0.0_pReal
allocate ( constitutive_phenopowerlaw_twinC ( maxNinstance ) ) ; constitutive_phenopowerlaw_twinC = 0.0_pReal
allocate ( constitutive_phenopowerlaw_twinD ( maxNinstance ) ) ; constitutive_phenopowerlaw_twinD = 0.0_pReal
allocate ( constitutive_phenopowerlaw_twinE ( maxNinstance ) ) ; constitutive_phenopowerlaw_twinE = 0.0_pReal
allocate ( constitutive_phenopowerlaw_h0_slipslip ( maxNinstance ) ) ; constitutive_phenopowerlaw_h0_slipslip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_h0_sliptwin ( maxNinstance ) ) ; constitutive_phenopowerlaw_h0_sliptwin = 0.0_pReal
allocate ( constitutive_phenopowerlaw_h0_twinslip ( maxNinstance ) ) ; constitutive_phenopowerlaw_h0_twinslip = 0.0_pReal
allocate ( constitutive_phenopowerlaw_h0_twintwin ( maxNinstance ) ) ; constitutive_phenopowerlaw_h0_twintwin = 0.0_pReal
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allocate ( constitutive_phenopowerlaw_interaction_slipslip ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_phenopowerlaw_interaction_sliptwin ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_phenopowerlaw_interaction_twinslip ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_phenopowerlaw_interaction_twintwin ( lattice_maxNinteraction , maxNinstance ) )
constitutive_phenopowerlaw_interaction_slipslip = 0.0_pReal
constitutive_phenopowerlaw_interaction_sliptwin = 0.0_pReal
constitutive_phenopowerlaw_interaction_twinslip = 0.0_pReal
constitutive_phenopowerlaw_interaction_twintwin = 0.0_pReal
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rewind ( file )
line = ''
section = 0
do while ( IO_lc ( IO_getTag ( line , '<' , '>' ) ) / = 'phase' ) ! wind forward to <phase>
read ( file , '(a1024)' , END = 100 ) line
enddo
do ! read thru sections of phase part
read ( file , '(a1024)' , END = 100 ) line
if ( IO_isBlank ( line ) ) cycle ! skip empty lines
if ( IO_getTag ( line , '<' , '>' ) / = '' ) exit ! stop at next part
if ( IO_getTag ( line , '[' , ']' ) / = '' ) then ! next section
section = section + 1
output = 0 ! reset output counter
endif
if ( section > 0 . and . phase_constitution ( section ) == constitutive_phenopowerlaw_label ) then ! one of my sections
i = phase_constitutionInstance ( section ) ! which instance of my constitution is present phase
positions = IO_stringPos ( line , maxNchunks )
tag = IO_lc ( IO_stringValue ( line , positions , 1 ) ) ! extract key
select case ( tag )
case ( '(output)' )
output = output + 1
constitutive_phenopowerlaw_output ( output , i ) = IO_lc ( IO_stringValue ( line , positions , 2 ) )
case ( 'lattice_structure' )
constitutive_phenopowerlaw_structureName ( i ) = IO_lc ( IO_stringValue ( line , positions , 2 ) )
case ( 'covera_ratio' )
constitutive_phenopowerlaw_CoverA ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'c11' )
constitutive_phenopowerlaw_C11 ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'c12' )
constitutive_phenopowerlaw_C12 ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'c13' )
constitutive_phenopowerlaw_C13 ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'c33' )
constitutive_phenopowerlaw_C33 ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'c44' )
constitutive_phenopowerlaw_C44 ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'nslip' )
forall ( j = 1 : lattice_maxNslipFamily ) constitutive_phenopowerlaw_Nslip ( j , i ) = IO_intValue ( line , positions , 1 + j )
case ( 'gdot0_slip' )
constitutive_phenopowerlaw_gdot0_slip ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'n_slip' )
constitutive_phenopowerlaw_n_slip ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'tau0_slip' )
forall ( j = 1 : lattice_maxNslipFamily ) constitutive_phenopowerlaw_tau0_slip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 'tausat_slip' )
forall ( j = 1 : lattice_maxNslipFamily ) constitutive_phenopowerlaw_tausat_slip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 'ntwin' )
forall ( j = 1 : lattice_maxNtwinFamily ) constitutive_phenopowerlaw_Ntwin ( j , i ) = IO_intValue ( line , positions , 1 + j )
case ( 'gdot0_twin' )
constitutive_phenopowerlaw_gdot0_twin ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'n_twin' )
constitutive_phenopowerlaw_n_twin ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'tau0_twin' )
forall ( j = 1 : lattice_maxNtwinFamily ) constitutive_phenopowerlaw_tau0_twin ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 's_pr' )
constitutive_phenopowerlaw_spr ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'twin_b' )
constitutive_phenopowerlaw_twinB ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'twin_c' )
constitutive_phenopowerlaw_twinC ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'twin_d' )
constitutive_phenopowerlaw_twinD ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'twin_e' )
constitutive_phenopowerlaw_twinE ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'h0_slipslip' )
constitutive_phenopowerlaw_h0_slipslip ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'h0_sliptwin' )
constitutive_phenopowerlaw_h0_sliptwin ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'h0_twinslip' )
constitutive_phenopowerlaw_h0_twinslip ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'h0_twintwin' )
constitutive_phenopowerlaw_h0_twintwin ( i ) = IO_floatValue ( line , positions , 2 )
case ( 'interaction_slipslip' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_phenopowerlaw_interaction_slipslip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 'interaction_sliptwin' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_phenopowerlaw_interaction_sliptwin ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 'interaction_twinslip' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_phenopowerlaw_interaction_twinslip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
case ( 'interaction_twintwin' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_phenopowerlaw_interaction_twintwin ( j , i ) = IO_floatValue ( line , positions , 1 + j )
end select
endif
enddo
100 do i = 1 , maxNinstance
constitutive_phenopowerlaw_structure ( i ) = lattice_initializeStructure ( constitutive_phenopowerlaw_structureName ( i ) , & ! get structure
constitutive_phenopowerlaw_CoverA ( i ) )
constitutive_phenopowerlaw_Nslip ( : , i ) = min ( lattice_NslipSystem ( : , constitutive_phenopowerlaw_structure ( i ) ) , & ! limit active slip systems per family to max
constitutive_phenopowerlaw_Nslip ( : , i ) )
constitutive_phenopowerlaw_Ntwin ( : , i ) = min ( lattice_NtwinSystem ( : , constitutive_phenopowerlaw_structure ( i ) ) , & ! limit active twin systems per family to max
constitutive_phenopowerlaw_Ntwin ( : , i ) )
constitutive_phenopowerlaw_totalNslip ( i ) = sum ( constitutive_phenopowerlaw_Nslip ( : , i ) ) ! how many slip systems altogether
constitutive_phenopowerlaw_totalNtwin ( i ) = sum ( constitutive_phenopowerlaw_Ntwin ( : , i ) ) ! how many twin systems altogether
if ( constitutive_phenopowerlaw_structure ( i ) < 1 . or . & ! sanity checks
constitutive_phenopowerlaw_structure ( i ) > 3 ) call IO_error ( 205 )
if ( any ( constitutive_phenopowerlaw_tau0_slip ( : , i ) < 0.0_pReal . and . &
constitutive_phenopowerlaw_Nslip ( : , i ) > 0 ) ) call IO_error ( 210 )
if ( constitutive_phenopowerlaw_gdot0_slip ( i ) < = 0.0_pReal ) call IO_error ( 211 )
if ( constitutive_phenopowerlaw_n_slip ( i ) < = 0.0_pReal ) call IO_error ( 212 )
if ( any ( constitutive_phenopowerlaw_tausat_slip ( : , i ) < = 0.0_pReal . and . &
constitutive_phenopowerlaw_Nslip ( : , i ) > 0 ) ) call IO_error ( 213 )
if ( any ( constitutive_phenopowerlaw_tau0_twin ( : , i ) < 0.0_pReal . and . &
constitutive_phenopowerlaw_Ntwin ( : , i ) > 0 ) ) call IO_error ( 210 )
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if ( constitutive_phenopowerlaw_gdot0_twin ( i ) < = 0.0_pReal . and . &
any ( constitutive_phenopowerlaw_Ntwin ( : , i ) > 0 ) ) call IO_error ( 211 )
if ( constitutive_phenopowerlaw_n_twin ( i ) < = 0.0_pReal . and . &
any ( constitutive_phenopowerlaw_Ntwin ( : , i ) > 0 ) ) call IO_error ( 212 )
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enddo
allocate ( constitutive_phenopowerlaw_hardeningMatrix_slipslip ( maxval ( constitutive_phenopowerlaw_totalNslip ) , &
maxval ( constitutive_phenopowerlaw_totalNslip ) , &
maxNinstance ) )
allocate ( constitutive_phenopowerlaw_hardeningMatrix_sliptwin ( maxval ( constitutive_phenopowerlaw_totalNslip ) , &
maxval ( constitutive_phenopowerlaw_totalNtwin ) , &
maxNinstance ) )
allocate ( constitutive_phenopowerlaw_hardeningMatrix_twinslip ( maxval ( constitutive_phenopowerlaw_totalNtwin ) , &
maxval ( constitutive_phenopowerlaw_totalNslip ) , &
maxNinstance ) )
allocate ( constitutive_phenopowerlaw_hardeningMatrix_twintwin ( maxval ( constitutive_phenopowerlaw_totalNtwin ) , &
maxval ( constitutive_phenopowerlaw_totalNtwin ) , &
maxNinstance ) )
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constitutive_phenopowerlaw_hardeningMatrix_slipslip = 0.0_pReal
constitutive_phenopowerlaw_hardeningMatrix_sliptwin = 0.0_pReal
constitutive_phenopowerlaw_hardeningMatrix_twinslip = 0.0_pReal
constitutive_phenopowerlaw_hardeningMatrix_twintwin = 0.0_pReal
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do i = 1 , maxNinstance
do j = 1 , maxval ( phase_Noutput )
select case ( constitutive_phenopowerlaw_output ( j , i ) )
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case ( 'resistance_slip' , &
'shearrate_slip' , &
'resolvedstress_slip' &
)
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mySize = constitutive_phenopowerlaw_totalNslip ( i )
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case ( 'resistance_twin' , &
'shearrate_twin' , &
'resolvedstress_twin' &
)
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mySize = constitutive_phenopowerlaw_totalNtwin ( i )
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case ( 'totalshear' , &
'totalvolfrac' &
)
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mySize = 1_pInt
case default
mySize = 0_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
constitutive_phenopowerlaw_sizePostResult ( j , i ) = mySize
constitutive_phenopowerlaw_sizePostResults ( i ) = &
constitutive_phenopowerlaw_sizePostResults ( i ) + mySize
endif
enddo
constitutive_phenopowerlaw_sizeDotState ( i ) = constitutive_phenopowerlaw_totalNslip ( i ) + &
constitutive_phenopowerlaw_totalNtwin ( i ) + 2 ! s_slip, s_twin, sum(gamma), sum(f)
constitutive_phenopowerlaw_sizeState ( i ) = constitutive_phenopowerlaw_totalNslip ( i ) + &
constitutive_phenopowerlaw_totalNtwin ( i ) + 2 ! s_slip, s_twin, sum(gamma), sum(f)
select case ( constitutive_phenopowerlaw_structure ( i ) ) ! assign elasticity tensor
case ( 1 : 2 ) ! cubic(s)
forall ( k = 1 : 3 )
forall ( j = 1 : 3 ) &
constitutive_phenopowerlaw_Cslip_66 ( k , j , i ) = constitutive_phenopowerlaw_C12 ( i )
constitutive_phenopowerlaw_Cslip_66 ( k , k , i ) = constitutive_phenopowerlaw_C11 ( i )
constitutive_phenopowerlaw_Cslip_66 ( k + 3 , k + 3 , i ) = constitutive_phenopowerlaw_C44 ( i )
end forall
case ( 3 ) ! hex
constitutive_phenopowerlaw_Cslip_66 ( 1 , 1 , i ) = constitutive_phenopowerlaw_C11 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 2 , 2 , i ) = constitutive_phenopowerlaw_C11 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 3 , 3 , i ) = constitutive_phenopowerlaw_C33 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 1 , 2 , i ) = constitutive_phenopowerlaw_C12 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 2 , 1 , i ) = constitutive_phenopowerlaw_C12 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 1 , 3 , i ) = constitutive_phenopowerlaw_C13 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 3 , 1 , i ) = constitutive_phenopowerlaw_C13 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 2 , 3 , i ) = constitutive_phenopowerlaw_C13 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 3 , 2 , i ) = constitutive_phenopowerlaw_C13 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 4 , 4 , i ) = constitutive_phenopowerlaw_C44 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 5 , 5 , i ) = constitutive_phenopowerlaw_C44 ( i )
constitutive_phenopowerlaw_Cslip_66 ( 6 , 6 , i ) = 0.5_pReal * ( constitutive_phenopowerlaw_C11 ( i ) - &
constitutive_phenopowerlaw_C12 ( i ) )
end select
constitutive_phenopowerlaw_Cslip_66 ( : , : , i ) = &
math_Mandel3333to66 ( math_Voigt66to3333 ( constitutive_phenopowerlaw_Cslip_66 ( : , : , i ) ) )
do j = 1 , lattice_maxNslipFamily
do k = 1 , constitutive_phenopowerlaw_Nslip ( j , i )
do l = 1 , lattice_maxNslipFamily
do m = 1 , constitutive_phenopowerlaw_Nslip ( l , i )
constitutive_phenopowerlaw_hardeningMatrix_slipslip ( sum ( constitutive_phenopowerlaw_Nslip ( 1 : j - 1 , i ) ) + k , &
sum ( constitutive_phenopowerlaw_Nslip ( 1 : l - 1 , i ) ) + m , i ) = &
constitutive_phenopowerlaw_interaction_slipslip ( lattice_interactionSlipSlip ( &
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sum ( lattice_NslipSystem ( 1 : j - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + k , &
sum ( lattice_NslipSystem ( 1 : l - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + m , &
constitutive_phenopowerlaw_structure ( i ) ) , i )
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enddo ; enddo ; enddo ; enddo
do j = 1 , lattice_maxNslipFamily
do k = 1 , constitutive_phenopowerlaw_Nslip ( j , i )
do l = 1 , lattice_maxNtwinFamily
do m = 1 , constitutive_phenopowerlaw_Ntwin ( l , i )
constitutive_phenopowerlaw_hardeningMatrix_sliptwin ( sum ( constitutive_phenopowerlaw_Nslip ( 1 : j - 1 , i ) ) + k , &
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sum ( constitutive_phenopowerlaw_Ntwin ( 1 : l - 1 , i ) ) + m , i ) = &
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constitutive_phenopowerlaw_interaction_sliptwin ( lattice_interactionSlipTwin ( &
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sum ( lattice_NslipSystem ( 1 : j - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + k , &
sum ( lattice_NtwinSystem ( 1 : l - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + m , &
constitutive_phenopowerlaw_structure ( i ) ) , i )
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enddo ; enddo ; enddo ; enddo
do j = 1 , lattice_maxNtwinFamily
do k = 1 , constitutive_phenopowerlaw_Ntwin ( j , i )
do l = 1 , lattice_maxNslipFamily
do m = 1 , constitutive_phenopowerlaw_Nslip ( l , i )
constitutive_phenopowerlaw_hardeningMatrix_twinslip ( sum ( constitutive_phenopowerlaw_Ntwin ( 1 : j - 1 , i ) ) + k , &
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sum ( constitutive_phenopowerlaw_Nslip ( 1 : l - 1 , i ) ) + m , i ) = &
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constitutive_phenopowerlaw_interaction_twinslip ( lattice_interactionTwinSlip ( &
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sum ( lattice_NtwinSystem ( 1 : j - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + k , &
sum ( lattice_NslipSystem ( 1 : l - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + m , &
constitutive_phenopowerlaw_structure ( i ) ) , i )
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enddo ; enddo ; enddo ; enddo
do j = 1 , lattice_maxNtwinFamily
do k = 1 , constitutive_phenopowerlaw_Ntwin ( j , i )
do l = 1 , lattice_maxNtwinFamily
do m = 1 , constitutive_phenopowerlaw_Ntwin ( l , i )
constitutive_phenopowerlaw_hardeningMatrix_twintwin ( sum ( constitutive_phenopowerlaw_Ntwin ( 1 : j - 1 , i ) ) + k , &
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sum ( constitutive_phenopowerlaw_Ntwin ( 1 : l - 1 , i ) ) + m , i ) = &
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constitutive_phenopowerlaw_interaction_twintwin ( lattice_interactionTwinTwin ( &
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sum ( lattice_NtwinSystem ( 1 : j - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + k , &
sum ( lattice_NtwinSystem ( 1 : l - 1 , constitutive_phenopowerlaw_structure ( i ) ) ) + m , &
constitutive_phenopowerlaw_structure ( i ) ) , i )
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enddo ; enddo ; enddo ; enddo
enddo
return
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endsubroutine
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function constitutive_phenopowerlaw_stateInit ( myInstance )
!*********************************************************************
!* initial microstructural state *
!*********************************************************************
use prec , only : pReal , pInt
use debug , only : debugger
use lattice , only : lattice_maxNslipFamily , lattice_maxNtwinFamily
implicit none
!* Definition of variables
integer ( pInt ) , intent ( in ) :: myInstance
integer ( pInt ) i
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real ( pReal ) , dimension ( constitutive_phenopowerlaw_sizeDotState ( myInstance ) ) :: constitutive_phenopowerlaw_stateInit
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constitutive_phenopowerlaw_stateInit = 0.0_pReal
do i = 1 , lattice_maxNslipFamily
constitutive_phenopowerlaw_stateInit ( 1 + &
sum ( constitutive_phenopowerlaw_Nslip ( 1 : i - 1 , myInstance ) ) : &
sum ( constitutive_phenopowerlaw_Nslip ( 1 : i , myInstance ) ) ) = &
constitutive_phenopowerlaw_tau0_slip ( i , myInstance )
enddo
do i = 1 , lattice_maxNtwinFamily
constitutive_phenopowerlaw_stateInit ( 1 + sum ( constitutive_phenopowerlaw_Nslip ( : , myInstance ) ) + &
sum ( constitutive_phenopowerlaw_Ntwin ( 1 : i - 1 , myInstance ) ) : &
sum ( constitutive_phenopowerlaw_Nslip ( : , myInstance ) ) + &
sum ( constitutive_phenopowerlaw_Ntwin ( 1 : i , myInstance ) ) ) = &
constitutive_phenopowerlaw_tau0_twin ( i , myInstance )
enddo
return
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endfunction
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function constitutive_phenopowerlaw_homogenizedC ( state , ipc , ip , el )
!*********************************************************************
!* homogenized elacticity matrix *
!* INPUT: *
!* - state : state variables *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!* Definition of variables
integer ( pInt ) , intent ( in ) :: ipc , ip , el
integer ( pInt ) matID
real ( pReal ) , dimension ( 6 , 6 ) :: constitutive_phenopowerlaw_homogenizedC
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) :: state
matID = phase_constitutionInstance ( material_phase ( ipc , ip , el ) )
constitutive_phenopowerlaw_homogenizedC = constitutive_phenopowerlaw_Cslip_66 ( : , : , matID )
return
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endfunction
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subroutine constitutive_phenopowerlaw_microstructure ( Temperature , state , ipc , ip , el )
!*********************************************************************
!* calculate derived quantities from state (not used here) *
!* INPUT: *
!* - Tp : temperature *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!* Definition of variables
integer ( pInt ) ipc , ip , el , matID , nSlip , nTwin
real ( pReal ) Temperature
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) :: state
matID = phase_constitutionInstance ( material_phase ( ipc , ip , el ) )
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endsubroutine
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subroutine constitutive_phenopowerlaw_LpAndItsTangent ( Lp , dLp_dTstar , Tstar_v , Temperature , state , ipc , ip , el )
!*********************************************************************
!* plastic velocity gradient and its tangent *
!* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - Lp : plastic velocity gradient *
!* - dLp_dTstar : derivative of Lp (4th-rank tensor) *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use debug , only : debugger
use math , only : math_Plain3333to99
use lattice , only : lattice_Sslip , lattice_Sslip_v , lattice_Stwin , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!* Definition of variables
integer ( pInt ) ipc , ip , el
integer ( pInt ) matID , nSlip , nTwin , f , i , j , k , l , m , n , structID , index_Gamma , index_F , index_myFamily
real ( pReal ) Temperature
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) :: state
real ( pReal ) , dimension ( 6 ) :: Tstar_v
real ( pReal ) , dimension ( 3 , 3 ) :: Lp
real ( pReal ) , dimension ( 3 , 3 , 3 , 3 ) :: dLp_dTstar3333
real ( pReal ) , dimension ( 9 , 9 ) :: dLp_dTstar
real ( pReal ) , dimension ( constitutive_phenopowerlaw_totalNslip ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
gdot_slip , dgdot_dtauslip , tau_slip
real ( pReal ) , dimension ( constitutive_phenopowerlaw_totalNtwin ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
gdot_twin , dgdot_dtautwin , tau_twin
matID = phase_constitutionInstance ( material_phase ( ipc , ip , el ) )
structID = constitutive_phenopowerlaw_structure ( matID )
nSlip = constitutive_phenopowerlaw_totalNslip ( matID )
nTwin = constitutive_phenopowerlaw_totalNtwin ( matID )
index_Gamma = nSlip + nTwin + 1
index_F = nSlip + nTwin + 2
Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
dLp_dTstar = 0.0_pReal
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Nslip ( f , matID ) ! process each (active) slip system in family
j = j + 1_pInt
!* Calculation of Lp
tau_slip ( j ) = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , structID ) )
gdot_slip ( j ) = constitutive_phenopowerlaw_gdot0_slip ( matID ) * ( abs ( tau_slip ( j ) ) / state ( ipc , ip , el ) % p ( j ) ) ** &
constitutive_phenopowerlaw_n_slip ( matID ) * sign ( 1.0_pReal , tau_slip ( j ) )
Lp = Lp + ( 1.0_pReal - state ( ipc , ip , el ) % p ( index_F ) ) * & ! 1-F
gdot_slip ( j ) * lattice_Sslip ( : , : , index_myFamily + i , structID )
!* Calculation of the tangent of Lp
dgdot_dtauslip ( j ) = gdot_slip ( j ) * constitutive_phenopowerlaw_n_slip ( matID ) / tau_slip ( j )
forall ( k = 1 : 3 , l = 1 : 3 , m = 1 : 3 , n = 1 : 3 ) &
dLp_dTstar3333 ( k , l , m , n ) = dLp_dTstar3333 ( k , l , m , n ) + &
dgdot_dtauslip ( j ) * lattice_Sslip ( k , l , index_myFamily + i , structID ) * &
lattice_Sslip ( m , n , index_myFamily + i , structID )
enddo
enddo
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Ntwin ( f , matID ) ! process each (active) twin system in family
j = j + 1_pInt
!* Calculation of Lp
tau_twin ( j ) = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , structID ) )
gdot_twin ( j ) = constitutive_phenopowerlaw_gdot0_twin ( matID ) * &
( abs ( tau_twin ( j ) ) / state ( ipc , ip , el ) % p ( nSlip + j ) ) ** &
constitutive_phenopowerlaw_n_twin ( matID ) * max ( 0.0_pReal , sign ( 1.0_pReal , tau_twin ( j ) ) )
Lp = Lp + gdot_twin ( j ) * lattice_Stwin ( : , : , index_myFamily + i , structID )
!* Calculation of the tangent of Lp
dgdot_dtautwin ( j ) = gdot_twin ( j ) * constitutive_phenopowerlaw_n_twin ( matID ) / tau_twin ( j )
forall ( k = 1 : 3 , l = 1 : 3 , m = 1 : 3 , n = 1 : 3 ) &
dLp_dTstar3333 ( k , l , m , n ) = dLp_dTstar3333 ( k , l , m , n ) + &
dgdot_dtautwin ( j ) * lattice_Stwin ( k , l , index_myFamily + i , structID ) * &
lattice_Stwin ( m , n , index_myFamily + i , structID )
enddo
enddo
dLp_dTstar = math_Plain3333to99 ( dLp_dTstar3333 )
return
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endsubroutine
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function constitutive_phenopowerlaw_dotState ( Tstar_v , Temperature , state , ipc , ip , el )
!*********************************************************************
!* rate of change of microstructure *
!* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotState : evolution of state variable *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use debug , only : debugger
use lattice , only : lattice_Sslip , lattice_Sslip_v , lattice_Stwin , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem , lattice_shearTwin
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!* Definition of variables
integer ( pInt ) ipc , ip , el
integer ( pInt ) matID , nSlip , nTwin , f , i , j , k , structID , index_Gamma , index_F , index_myFamily
real ( pReal ) Temperature , c_slipslip , c_sliptwin , c_twinslip , c_twintwin , ssat
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) :: state
real ( pReal ) , dimension ( 6 ) :: Tstar_v
real ( pReal ) , dimension ( constitutive_phenopowerlaw_totalNslip ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
gdot_slip , tau_slip , h_slipslip , h_sliptwin , N_slipslip , N_twinslip
real ( pReal ) , dimension ( constitutive_phenopowerlaw_totalNtwin ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
gdot_twin , tau_twin , h_twinslip , h_twintwin , N_sliptwin , N_twintwin
real ( pReal ) , dimension ( constitutive_phenopowerlaw_sizeDotState ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
constitutive_phenopowerlaw_dotState
matID = phase_constitutionInstance ( material_phase ( ipc , ip , el ) )
structID = constitutive_phenopowerlaw_structure ( matID )
nSlip = constitutive_phenopowerlaw_totalNslip ( matID )
nTwin = constitutive_phenopowerlaw_totalNtwin ( matID )
index_Gamma = nSlip + nTwin + 1
index_F = nSlip + nTwin + 2
constitutive_phenopowerlaw_dotState = 0.0_pReal
!-- system-independent (nonlinear) prefactors to M_xx matrices
c_slipslip = constitutive_phenopowerlaw_h0_slipslip ( matID ) * &
( 1.0_pReal + &
constitutive_phenopowerlaw_twinC ( matID ) * state ( ipc , ip , el ) % p ( index_F ) ** constitutive_phenopowerlaw_twinB ( matID ) )
c_sliptwin = 0.0_pReal
c_twinslip = constitutive_phenopowerlaw_h0_twinslip ( matID ) * &
state ( ipc , ip , el ) % p ( index_Gamma ) ** constitutive_phenopowerlaw_twinE ( matID )
c_twintwin = constitutive_phenopowerlaw_h0_twintwin ( matID ) * &
state ( ipc , ip , el ) % p ( index_F ) ** constitutive_phenopowerlaw_twinD ( matID )
!-- add system-dependent part and calculate dot gammas
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
ssat = constitutive_phenopowerlaw_tausat_slip ( f , matID ) + &
constitutive_phenopowerlaw_spr ( matID ) * dsqrt ( state ( ipc , ip , el ) % p ( index_F ) )
do i = 1 , constitutive_phenopowerlaw_Nslip ( f , matID ) ! process each (active) slip system in family
j = j + 1_pInt
h_slipslip ( j ) = c_slipslip * ( 1.0_pReal - state ( ipc , ip , el ) % p ( j ) / ssat ) ! system-dependent prefactor for slip--slip interaction
h_sliptwin ( j ) = c_sliptwin ! no system-dependent part
!* Calculation of dot gamma
tau_slip ( j ) = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , structID ) )
gdot_slip ( j ) = constitutive_phenopowerlaw_gdot0_slip ( matID ) * ( abs ( tau_slip ( j ) ) / state ( ipc , ip , el ) % p ( j ) ) ** &
constitutive_phenopowerlaw_n_slip ( matID ) * sign ( 1.0_pReal , tau_slip ( j ) )
enddo
enddo
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Ntwin ( f , matID ) ! process each (active) twin system in family
j = j + 1_pInt
h_twinslip ( j ) = c_twinslip ! no system-dependent parts
h_twintwin ( j ) = c_twintwin
!* Calculation of dot vol frac
tau_twin ( j ) = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , structID ) )
gdot_twin ( j ) = constitutive_phenopowerlaw_gdot0_twin ( matID ) * &
( abs ( tau_twin ( j ) ) / state ( ipc , ip , el ) % p ( nSlip + j ) ) ** &
constitutive_phenopowerlaw_n_twin ( matID ) * max ( 0.0_pReal , sign ( 1.0_pReal , tau_twin ( j ) ) )
enddo
enddo
!-- calculate the overall hardening based on above
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
do i = 1 , constitutive_phenopowerlaw_Nslip ( f , matID ) ! process each (active) slip system in family
j = j + 1_pInt
forall ( k = 1 : nSlip ) N_slipslip ( k ) = constitutive_phenopowerlaw_hardeningMatrix_slipslip ( j , k , matID ) * &
abs ( gdot_slip ( k ) ) ! dot gamma_slip
forall ( k = 1 : nTwin ) N_sliptwin ( k ) = constitutive_phenopowerlaw_hardeningMatrix_sliptwin ( j , k , matID ) * &
gdot_twin ( k ) ! dot gamma_twin
constitutive_phenopowerlaw_dotState ( j ) = h_slipslip ( j ) * sum ( N_slipslip ) + & ! evolution of slip resistance j
h_sliptwin ( j ) * sum ( N_sliptwin )
constitutive_phenopowerlaw_dotState ( index_Gamma ) = constitutive_phenopowerlaw_dotState ( index_Gamma ) + &
abs ( gdot_slip ( j ) )
enddo
enddo
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Ntwin ( f , matID ) ! process each (active) twin system in family
j = j + 1_pInt
forall ( k = 1 : nSlip ) N_twinslip ( k ) = constitutive_phenopowerlaw_hardeningMatrix_twinslip ( j , k , matID ) * &
gdot_slip ( k ) ! dot gamma_slip
forall ( k = 1 : nTwin ) N_twintwin ( k ) = constitutive_phenopowerlaw_hardeningMatrix_twintwin ( j , k , matID ) * &
gdot_twin ( k ) ! dot gamma_twin
constitutive_phenopowerlaw_dotState ( j + nSlip ) = h_twinslip ( j ) * sum ( N_twinslip ) + & ! evolution of twin resistance j
h_twintwin ( j ) * sum ( N_twintwin )
constitutive_phenopowerlaw_dotState ( index_F ) = constitutive_phenopowerlaw_dotState ( index_F ) + &
gdot_twin ( j ) / lattice_shearTwin ( index_myFamily + i , structID )
enddo
enddo
return
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endfunction
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!****************************************************************
!* calculates the rate of change of temperature *
!****************************************************************
pure function constitutive_phenopowerlaw_dotTemperature ( Tstar_v , Temperature , state , ipc , ip , el )
!*** variables and functions from other modules ***!
use prec , only : pReal , pInt , p_vec
use lattice , only : lattice_Sslip_v
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!*** input variables ***!
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: Tstar_v ! 2nd Piola Kirchhoff stress tensor in Mandel notation
real ( pReal ) , intent ( in ) :: Temperature
integer ( pInt ) , intent ( in ) :: ipc , & ! grain number
ip , & ! integration point number
el ! element number
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( in ) :: state ! state of the current microstructure
!*** output variables ***!
real ( pReal ) constitutive_phenopowerlaw_dotTemperature ! rate of change of temparature
! calculate dotTemperature
constitutive_phenopowerlaw_dotTemperature = 0.0_pReal
return
endfunction
pure function constitutive_phenopowerlaw_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 lattice , only : lattice_Sslip_v , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem
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 , f , i , c , nSlip , nTwin , j , structID , index_Gamma , index_F , index_myFamily
real ( pReal ) tau
real ( pReal ) , dimension ( constitutive_phenopowerlaw_sizePostResults ( phase_constitutionInstance ( material_phase ( ipc , ip , el ) ) ) ) :: &
constitutive_phenopowerlaw_postResults
matID = phase_constitutionInstance ( material_phase ( ipc , ip , el ) )
structID = constitutive_phenopowerlaw_structure ( matID )
nSlip = constitutive_phenopowerlaw_totalNslip ( matID )
nTwin = constitutive_phenopowerlaw_totalNtwin ( matID )
index_Gamma = nSlip + nTwin + 1
index_F = nSlip + nTwin + 2
constitutive_phenopowerlaw_postResults = 0.0_pReal
c = 0_pInt
do o = 1 , phase_Noutput ( material_phase ( ipc , ip , el ) )
select case ( constitutive_phenopowerlaw_output ( o , matID ) )
case ( 'resistance_slip' )
constitutive_phenopowerlaw_postResults ( c + 1 : c + nSlip ) = state ( ipc , ip , el ) % p ( 1 : nSlip )
c = c + nSlip
case ( 'shearrate_slip' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Nslip ( f , matID ) ! process each (active) slip system in family
j = j + 1_pInt
tau = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , structID ) )
constitutive_phenopowerlaw_postResults ( c + j ) = constitutive_phenopowerlaw_gdot0_slip ( matID ) * &
( abs ( tau ) / state ( ipc , ip , el ) % p ( j ) ) ** &
constitutive_phenopowerlaw_n_slip ( matID ) * sign ( 1.0_pReal , tau )
enddo ; enddo
c = c + nSlip
case ( 'resolvedstress_slip' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Nslip ( f , matID ) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_phenopowerlaw_postResults ( c + j ) = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , structID ) )
enddo ; enddo
c = c + nSlip
case ( 'totalshear' )
constitutive_phenopowerlaw_postResults ( c + 1 ) = state ( ipc , ip , el ) % p ( index_Gamma )
c = c + 1
case ( 'resistance_twin' )
constitutive_phenopowerlaw_postResults ( c + 1 : c + nTwin ) = state ( ipc , ip , el ) % p ( 1 + nSlip : nTwin + nSlip )
c = c + nTwin
case ( 'shearrate_twin' )
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Ntwin ( f , matID ) ! process each (active) twin system in family
j = j + 1_pInt
tau = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , structID ) )
constitutive_phenopowerlaw_postResults ( c + j ) = constitutive_phenopowerlaw_gdot0_twin ( matID ) * &
( abs ( tau ) / state ( ipc , ip , el ) % p ( j + nSlip ) ) ** &
constitutive_phenopowerlaw_n_twin ( matID ) * max ( 0.0_pReal , sign ( 1.0_pReal , tau ) )
enddo ; enddo
c = c + nTwin
case ( 'resolvedstress_twin' )
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , structID ) ) ! at which index starts my family
do i = 1 , constitutive_phenopowerlaw_Ntwin ( f , matID ) ! process each (active) twin system in family
j = j + 1_pInt
constitutive_phenopowerlaw_postResults ( c + j ) = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , structID ) )
enddo ; enddo
c = c + nTwin
case ( 'totalvolfrac' )
constitutive_phenopowerlaw_postResults ( c + 1 ) = state ( ipc , ip , el ) % p ( index_F )
c = c + 1
end select
enddo
return
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endfunction
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END MODULE
