doxygen documentation for J2
This commit is contained in:
Martin Diehl
parent
e34a3dcb32
commit
ef2c2af471
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@ -16,37 +16,25 @@
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! You should have received a copy of the GNU General Public License
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! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
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!
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!##############################################################
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!* $Id$
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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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! [Alu]
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! plasticity j2
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! (output) flowstress
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! (output) strainrate
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! c11 110.9e9 # (3 C11 + 2 C12 + 2 C44) / 5 ... with C44 = C11-C12 !!
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! c12 58.34e9 # (1 C11 + 4 C12 - 1 C44) / 5
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! taylorfactor 3
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! tau0 31e6
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! gdot0 0.001
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! n 20
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! h0 75e6
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! tausat 63e6
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! a 2.25
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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief Isotropic (J2) Plasticity
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!> @details Isotropic (J2) Plasticity which resembles the phenopowerlaw plasticity without
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!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
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!! untextured polycrystal
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!--------------------------------------------------------------------------------------------------
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module constitutive_j2
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use prec, only: pReal,pInt
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use prec, only: &
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pReal,&
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pInt
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implicit none
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private
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character (len=*), parameter, public :: constitutive_j2_LABEL = 'j2'
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character (len=*), parameter, public :: &
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CONSTITUTIVE_J2_label = 'j2' !< label for this constitutive model
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integer(pInt), dimension(:), allocatable, public :: &
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constitutive_j2_sizeDotState, &
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@ -54,40 +42,42 @@ module constitutive_j2
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constitutive_j2_sizePostResults
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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constitutive_j2_sizePostResult ! size of each post result output
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constitutive_j2_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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constitutive_j2_output ! name of each post result output
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constitutive_j2_output !< name of each post result output
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integer(pInt), dimension(:), allocatable, private :: &
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constitutive_j2_Noutput !< name of each post result output
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constitutive_j2_Noutput !< ??
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character(len=32), dimension(:), allocatable, private :: &
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constitutive_j2_structureName
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real(pReal), dimension(:), allocatable, private :: &
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!* Visco-plastic constitutive_j2 parameters
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constitutive_j2_fTaylor, &
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constitutive_j2_tau0, &
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constitutive_j2_gdot0, &
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constitutive_j2_n, &
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!* h0 as function of h0 = A + B log (gammadot)
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constitutive_j2_fTaylor, & !< Taylor factor
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constitutive_j2_tau0, & !< initial plastic stress
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constitutive_j2_gdot0, & !< reference velocity
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constitutive_j2_n, & !< Visco-plastic parameter
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!--------------------------------------------------------------------------------------------------
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! h0 as function of h0 = A + B log (gammadot)
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constitutive_j2_h0, &
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constitutive_j2_h0_slopeLnRate, &
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constitutive_j2_tausat, &
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constitutive_j2_tausat, & !< final plastic stress
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constitutive_j2_a, &
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constitutive_j2_aTolResistance, &
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!* Parameters of normalized strain rate vs. stress function:
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!* tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n))
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constitutive_j2_tausat_SinhFitA, &
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constitutive_j2_tausat_SinhFitB, &
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constitutive_j2_tausat_SinhFitC, &
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constitutive_j2_tausat_SinhFitD
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!--------------------------------------------------------------------------------------------------
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! tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n))
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constitutive_j2_tausat_SinhFitA, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitB, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitC, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitD !< fitting parameter for normalized strain rate vs. stress function
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real(pReal), dimension(:,:,:), allocatable, private :: &
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constitutive_j2_Cslip_66
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public :: constitutive_j2_init, &
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public :: &
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constitutive_j2_init, &
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constitutive_j2_stateInit, &
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constitutive_j2_aTolState, &
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constitutive_j2_homogenizedC, &
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@ -100,16 +90,16 @@ module constitutive_j2
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!--------------------------------------------------------------------------------------------------
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subroutine constitutive_j2_init(myFile)
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!**************************************
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!* Module initialization *
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!**************************************
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use math, only: &
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math_Mandel3333to66, &
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math_Voigt66to3333
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use IO, only: &
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IO_read, &
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IO_lc, &
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IO_getTag, &
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IO_isBlank, &
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@ -117,25 +107,28 @@ subroutine constitutive_j2_init(myFile)
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IO_stringValue, &
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IO_floatValue, &
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IO_error, &
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IO_timeStamp
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IO_timeStamp, &
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IO_read
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use material
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use debug, only: &
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debug_level, &
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debug_constitutive, &
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debug_levelBasic
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use lattice, only: lattice_symmetrizeC66
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use lattice, only: &
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lattice_symmetrizeC66
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implicit none
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integer(pInt), intent(in) :: myFile
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integer(pInt), parameter :: maxNchunks = 7_pInt
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integer(pInt), parameter :: MAXNCHUNKS = 7_pInt
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integer(pInt), dimension(1_pInt+2_pInt*maxNchunks) :: positions
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integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions
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integer(pInt) :: section = 0_pInt, maxNinstance, i,o, mySize
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character(len=65536) :: tag
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character(len=65536) :: line = '' ! to start initialized
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character(len=65536) :: &
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tag = '', &
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line = '' ! to start initialized
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write(6,'(/,a)') ' <<<+- constitutive_'//trim(constitutive_j2_LABEL)//' init -+>>>'
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write(6,'(/,a)') ' <<<+- constitutive_'//trim(CONSTITUTIVE_J2_label)//' init -+>>>'
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write(6,'(a)') ' $Id$'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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@ -144,8 +137,7 @@ subroutine constitutive_j2_init(myFile)
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if (maxNinstance == 0_pInt) return
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then
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write(6,'(a16,1x,i5)') '# instances:',maxNinstance
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write(6,*)
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write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
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endif
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allocate(constitutive_j2_sizeDotState(maxNinstance))
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@ -197,7 +189,7 @@ subroutine constitutive_j2_init(myFile)
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line = IO_read(myFile)
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enddo
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do while (trim(line) /= '#EOF#') ! read thru sections of phase part
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do while (trim(line) /= '#EOF#') ! read through sections of phase part
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line = IO_read(myFile)
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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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@ -205,8 +197,8 @@ subroutine constitutive_j2_init(myFile)
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section = section + 1_pInt ! advance section counter
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cycle
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endif
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if (section > 0_pInt ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
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if (phase_plasticity(section) == constitutive_j2_LABEL) then ! one of my sections
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if (section > 0_pInt ) then ! do not short-circuit here (.and. with next if-statement). It's not safe in Fortran
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if (phase_plasticity(section) == CONSTITUTIVE_J2_label) then ! one of my sections
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i = phase_plasticityInstance(section) ! which instance of my plasticity is present phase
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positions = IO_stringPos(line,maxNchunks)
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tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
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@ -215,7 +207,8 @@ subroutine constitutive_j2_init(myFile)
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cycle
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case ('(output)')
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constitutive_j2_Noutput(i) = constitutive_j2_Noutput(i) + 1_pInt
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constitutive_j2_output(constitutive_j2_Noutput(i),i) = IO_lc(IO_stringValue(line,positions,2_pInt))
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constitutive_j2_output(constitutive_j2_Noutput(i),i) = &
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IO_lc(IO_stringValue(line,positions,2_pInt))
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case ('lattice_structure')
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constitutive_j2_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt))
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case ('c11')
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@ -269,23 +262,23 @@ subroutine constitutive_j2_init(myFile)
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endif
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enddo
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do i = 1_pInt,maxNinstance ! sanity checks
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sanityChecks: do i = 1_pInt,maxNinstance
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if (constitutive_j2_structureName(i) == '') call IO_error(205_pInt,e=i)
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if (constitutive_j2_tau0(i) < 0.0_pReal) call IO_error(211_pInt,ext_msg='tau0 (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_gdot0(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='gdot0 (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_n(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='n (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_tausat(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='tausat (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_a(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='a (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_fTaylor(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='taylorfactor (' &
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//constitutive_j2_label//')')
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//CONSTITUTIVE_J2_label//')')
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if (constitutive_j2_aTolResistance(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='aTol_resistance (' &
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//constitutive_j2_label//')')
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enddo
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//CONSTITUTIVE_J2_label//')')
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enddo sanityChecks
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do i = 1_pInt,maxNinstance
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do o = 1_pInt,constitutive_j2_Noutput(i)
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@ -295,7 +288,7 @@ subroutine constitutive_j2_init(myFile)
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case('strainrate')
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mySize = 1_pInt
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case default
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call IO_error(212_pInt,ext_msg=constitutive_j2_output(o,i)//' ('//constitutive_j2_label//')')
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call IO_error(212_pInt,ext_msg=constitutive_j2_output(o,i)//' ('//CONSTITUTIVE_J2_label//')')
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end select
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if (mySize > 0_pInt) then ! any meaningful output found
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@ -308,180 +301,185 @@ subroutine constitutive_j2_init(myFile)
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constitutive_j2_sizeDotState(i) = 1_pInt
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constitutive_j2_sizeState(i) = 1_pInt
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constitutive_j2_Cslip_66(:,:,i) = lattice_symmetrizeC66(constitutive_j2_structureName(i),&
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constitutive_j2_Cslip_66(:,:,i))
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constitutive_j2_Cslip_66(1:6,1:6,i) = lattice_symmetrizeC66(constitutive_j2_structureName(i),&
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constitutive_j2_Cslip_66(1:6,1:6,i))
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constitutive_j2_Cslip_66(1:6,1:6,i) = &
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math_Mandel3333to66(math_Voigt66to3333(constitutive_j2_Cslip_66(1:6,1:6,i)))
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math_Mandel3333to66(math_Voigt66to3333(constitutive_j2_Cslip_66(1:6,1:6,i))) ! todo what is going on here?
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enddo
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end subroutine constitutive_j2_init
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!*********************************************************************
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!* initial microstructural state *
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!*********************************************************************
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!--------------------------------------------------------------------------------------------------
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!> @brief initial microstructural state
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!> @detail initial microstructural state is set to the value specified by tau0
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!--------------------------------------------------------------------------------------------------
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pure function constitutive_j2_stateInit(myInstance)
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implicit none
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integer(pInt), intent(in) :: myInstance
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real(pReal), dimension(1) :: constitutive_j2_stateInit
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integer(pInt), intent(in) :: myInstance !< number specifying the instance of the plasticity
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constitutive_j2_stateInit = constitutive_j2_tau0(myInstance)
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end function constitutive_j2_stateInit
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!*********************************************************************
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!* relevant microstructural state *
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!*********************************************************************
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!--------------------------------------------------------------------------------------------------
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!> @brief relevant state values for the current instance of this plasticity
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!--------------------------------------------------------------------------------------------------
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pure function constitutive_j2_aTolState(myInstance)
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implicit none
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!*** input variables
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integer(pInt), intent(in) :: myInstance ! number specifying the current instance of the plasticity
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integer(pInt), intent(in) :: myInstance !< number specifying the instance of the plasticity
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!*** output variables
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real(pReal), dimension(constitutive_j2_sizeState(myInstance)) :: &
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constitutive_j2_aTolState ! relevant state values for the current instance of this plasticity
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constitutive_j2_aTolState
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constitutive_j2_aTolState = constitutive_j2_aTolResistance(myInstance)
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end function constitutive_j2_aTolState
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!--------------------------------------------------------------------------------------------------
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!> @brief homogenized elasticity matrix
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!--------------------------------------------------------------------------------------------------
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pure 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: 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_plasticityInstance
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implicit none
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integer(pInt), intent(in) :: ipc,ip,el
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
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integer(pInt) :: matID
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real(pReal), dimension(6,6) :: constitutive_j2_homogenizedC
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matID = phase_plasticityInstance(material_phase(ipc,ip,el))
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constitutive_j2_homogenizedC = constitutive_j2_Cslip_66(1:6,1:6,matID)
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end function constitutive_j2_homogenizedC
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pure 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: 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_plasticityInstance
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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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real(pReal), intent(in) :: Temperature
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
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integer(pInt) :: matID
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matID = phase_plasticityInstance(material_phase(ipc,ip,el))
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end subroutine constitutive_j2_microstructure
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!****************************************************************
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!* calculates plastic velocity gradient and its tangent *
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!****************************************************************
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pure subroutine constitutive_j2_LpAndItsTangent(Lp, dLp_dTstar_99, Tstar_v, Temperature, state, g, ip, el)
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!*** variables and functions from other modules ***!
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use prec, only: p_vec
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use math, only: math_mul6x6, &
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math_Mandel6to33, &
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math_Plain3333to99, &
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math_deviatoric33, &
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math_mul33xx33
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use mesh, only: mesh_NcpElems, &
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mesh_maxNips
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use material, only: homogenization_maxNgrains, &
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use prec, only: &
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p_vec
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use mesh, only: &
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mesh_NcpElems,mesh_maxNips
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use material, only: &
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homogenization_maxNgrains,&
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material_phase, &
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phase_plasticityInstance
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implicit none
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!*** input variables ***!
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real(pReal), dimension(6), intent(in):: Tstar_v ! 2nd Piola Kirchhoff stress tensor in Mandel notation
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real(pReal), intent(in):: Temperature
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integer(pInt), intent(in):: g, & ! grain number
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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
|
||||
real(pReal), dimension(6,6) :: constitutive_j2_homogenizedC
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state !< microstructure state
|
||||
|
||||
!*** output variables ***!
|
||||
real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
|
||||
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar_99 ! derivative of Lp with respect to Tstar (9x9 matrix)
|
||||
constitutive_j2_homogenizedC = constitutive_j2_Cslip_66(1:6,1:6,&
|
||||
phase_plasticityInstance(material_phase(ipc,ip,el)))
|
||||
|
||||
!*** local variables ***!
|
||||
real(pReal), dimension(3,3) :: Tstar_dev_33 ! deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
|
||||
real(pReal), dimension(3,3,3,3) :: dLp_dTstar_3333 ! derivative of Lp with respect to Tstar as 4th order tensor
|
||||
real(pReal) gamma_dot, & ! strainrate
|
||||
norm_Tstar_dev, & ! euclidean norm of Tstar_dev
|
||||
squarenorm_Tstar_dev ! square of the euclidean norm of Tstar_dev
|
||||
integer(pInt) matID, &
|
||||
k, &
|
||||
l, &
|
||||
m, &
|
||||
n
|
||||
end function constitutive_j2_homogenizedC
|
||||
|
||||
matID = phase_plasticityInstance(material_phase(g,ip,el))
|
||||
|
||||
! deviatoric part of 2nd Piola-Kirchhoff stress
|
||||
Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v))
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculate derived quantities from state (not used here)
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine constitutive_j2_microstructure(temperature,state,ipc,ip,el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use mesh, only: &
|
||||
mesh_NcpElems,&
|
||||
mesh_maxNips
|
||||
use material, only: &
|
||||
homogenization_maxNgrains, &
|
||||
material_phase, &
|
||||
phase_plasticityInstance
|
||||
|
||||
implicit none
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
real(pReal), intent(in) :: &
|
||||
temperature !< temperature at IP
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state !< microstructure state
|
||||
|
||||
end subroutine constitutive_j2_microstructure
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar_99,Tstar_v,&
|
||||
temperature,state,ipc,ip,el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use math, only: &
|
||||
math_mul6x6, &
|
||||
math_Mandel6to33, &
|
||||
math_Plain3333to99, &
|
||||
math_deviatoric33, &
|
||||
math_mul33xx33
|
||||
use mesh, only: &
|
||||
mesh_NcpElems, &
|
||||
mesh_maxNips
|
||||
use material, only: &
|
||||
homogenization_maxNgrains, &
|
||||
material_phase, &
|
||||
phase_plasticityInstance
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(6), intent(in) :: &
|
||||
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal), intent(in) :: &
|
||||
temperature !< temperature at IP
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state !< microstructure state
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(9,9), intent(out) :: &
|
||||
dLp_dTstar_99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
|
||||
real(pReal), dimension(3,3,3,3) :: &
|
||||
dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
norm_Tstar_dev, & !< euclidean norm of Tstar_dev
|
||||
squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev
|
||||
integer(pInt) :: &
|
||||
matID, &
|
||||
k, l, m, n
|
||||
|
||||
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||||
Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
|
||||
squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
|
||||
norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
|
||||
|
||||
! Initialization of Lp and dLp_dTstar
|
||||
if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero
|
||||
Lp = 0.0_pReal
|
||||
dLp_dTstar_99 = 0.0_pReal
|
||||
|
||||
! Tstar == 0 --> both Lp and dLp_dTstar are zero
|
||||
if (norm_Tstar_dev > 0.0_pReal) then
|
||||
|
||||
! Calculation of gamma_dot
|
||||
else
|
||||
gamma_dot = constitutive_j2_gdot0(matID) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
||||
/ &!---------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(g,ip,el)%p(1)) ) **constitutive_j2_n(matID)
|
||||
/ &!----------------------------------------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(ipc,ip,el)%p(1)) ) **constitutive_j2_n(matID)
|
||||
|
||||
! Calculation of Lp
|
||||
Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/constitutive_j2_fTaylor(matID)
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! Calculation of the tangent of Lp
|
||||
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
||||
dLp_dTstar_3333(k,l,m,n) = (constitutive_j2_n(matID)-1.0_pReal) * Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
|
||||
dLp_dTstar_3333(k,l,m,n) = (constitutive_j2_n(matID)-1.0_pReal) * &
|
||||
Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
|
||||
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
|
||||
dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
|
||||
dLp_dTstar_99 = math_Plain3333to99(gamma_dot / constitutive_j2_fTaylor(matID) * dLp_dTstar_3333 / norm_Tstar_dev)
|
||||
dLp_dTstar_99 = math_Plain3333to99(gamma_dot / constitutive_j2_fTaylor(matID) * &
|
||||
dLp_dTstar_3333 / norm_Tstar_dev)
|
||||
end if
|
||||
|
||||
end subroutine constitutive_j2_LpAndItsTangent
|
||||
|
||||
|
||||
!****************************************************************
|
||||
!* calculates the rate of change of microstructure *
|
||||
!****************************************************************
|
||||
pure function constitutive_j2_dotState(Tstar_v, Temperature, state, g, ip, el)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure function constitutive_j2_dotState(Tstar_v,Temperature,state,ipc,ip, el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use math, only: &
|
||||
|
|
@ -495,38 +493,43 @@ pure function constitutive_j2_dotState(Tstar_v, Temperature, state, g, ip, el)
|
|||
phase_plasticityInstance
|
||||
|
||||
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):: g, & ! 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
|
||||
real(pReal), dimension(1) :: &
|
||||
constitutive_j2_dotState
|
||||
real(pReal), dimension(6), intent(in):: &
|
||||
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal), intent(in) :: &
|
||||
Temperature !< temperature at integration point
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state !< microstructure state
|
||||
|
||||
!*** output variables ***!
|
||||
real(pReal), dimension(1) :: constitutive_j2_dotState ! evolution of state variable
|
||||
real(pReal), dimension(6) :: &
|
||||
Tstar_dev_v !< deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
hardening, & !< hardening coefficient
|
||||
saturation, & !< saturation resistance
|
||||
norm_Tstar_dev !< euclidean norm of Tstar_dev
|
||||
integer(pInt) :: &
|
||||
matID
|
||||
|
||||
!*** local variables ***!
|
||||
real(pReal), dimension(6) :: Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal) gamma_dot, & ! strainrate
|
||||
hardening, & ! hardening coefficient
|
||||
saturation, & ! saturation resistance
|
||||
norm_Tstar_dev ! euclidean norm of Tstar_dev
|
||||
integer(pInt) matID
|
||||
|
||||
matID = phase_plasticityInstance(material_phase(g,ip,el))
|
||||
|
||||
! deviatoric part of 2nd Piola-Kirchhoff stress
|
||||
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! norm of deviatoric part of 2nd Piola-Kirchhoff stress
|
||||
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
||||
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
||||
|
||||
norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
||||
|
||||
! gamma_dot
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! strain rate
|
||||
gamma_dot = constitutive_j2_gdot0(matID) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
||||
/ &!---------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(g,ip,el)%p(1)) ) ** constitutive_j2_n(matID)
|
||||
/ &!-----------------------------------------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(ipc,ip,el)%p(1)) ) ** constitutive_j2_n(matID)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! hardening coefficient
|
||||
if (abs(gamma_dot) > 1e-12_pReal) then
|
||||
if (constitutive_j2_tausat_SinhFitA(matID) == 0.0_pReal) then
|
||||
|
|
@ -546,128 +549,126 @@ pure function constitutive_j2_dotState(Tstar_v, Temperature, state, g, ip, el)
|
|||
)
|
||||
endif
|
||||
hardening = ( constitutive_j2_h0(matID) + constitutive_j2_h0_slopeLnRate(matID) * log(gamma_dot) ) &
|
||||
* abs( 1.0_pReal - state(g,ip,el)%p(1)/saturation )**constitutive_j2_a(matID) &
|
||||
* sign(1.0_pReal, 1.0_pReal - state(g,ip,el)%p(1)/saturation)
|
||||
* abs( 1.0_pReal - state(ipc,ip,el)%p(1)/saturation )**constitutive_j2_a(matID) &
|
||||
* sign(1.0_pReal, 1.0_pReal - state(ipc,ip,el)%p(1)/saturation)
|
||||
else
|
||||
hardening = 0.0_pReal
|
||||
endif
|
||||
|
||||
! dotState
|
||||
constitutive_j2_dotState = hardening * gamma_dot
|
||||
|
||||
end function constitutive_j2_dotState
|
||||
|
||||
|
||||
|
||||
!*********************************************************************
|
||||
!* (instantaneous) incremental change of microstructure *
|
||||
!*********************************************************************
|
||||
function constitutive_j2_deltaState(Tstar_v, Temperature, state, g,ip,el)
|
||||
|
||||
use prec, only: pReal, &
|
||||
pInt, &
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief (instantaneous) incremental change of microstructure (dummy function)
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure function constitutive_j2_deltaState(Tstar_v,temperature,state,ipc,ip,el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use mesh, only: mesh_NcpElems, &
|
||||
use math, only: &
|
||||
math_mul6x6
|
||||
use mesh, only: &
|
||||
mesh_NcpElems, &
|
||||
mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains, &
|
||||
use material, only: &
|
||||
homogenization_maxNgrains, &
|
||||
material_phase, &
|
||||
phase_plasticityInstance
|
||||
|
||||
implicit none
|
||||
|
||||
!*** input variables
|
||||
integer(pInt), intent(in) :: g, & ! current grain number
|
||||
ip, & ! current integration point
|
||||
el ! current element number
|
||||
real(pReal), intent(in) :: Temperature ! temperature
|
||||
real(pReal), dimension(6), intent(in) :: Tstar_v ! current 2nd Piola-Kirchhoff stress in Mandel notation
|
||||
real(pReal), dimension(6), intent(in):: &
|
||||
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal), intent(in) :: &
|
||||
Temperature !< temperature at integration point
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state ! current microstructural state
|
||||
|
||||
!*** output variables
|
||||
real(pReal), dimension(constitutive_j2_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
|
||||
constitutive_j2_deltaState ! change of state variables / microstructure
|
||||
|
||||
!*** local variables
|
||||
state !< microstructure state
|
||||
|
||||
real(pReal), dimension(constitutive_j2_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
constitutive_j2_deltaState
|
||||
|
||||
constitutive_j2_deltaState = 0.0_pReal
|
||||
|
||||
endfunction
|
||||
end function constitutive_j2_deltaState
|
||||
|
||||
|
||||
!****************************************************************
|
||||
!* calculates the rate of change of temperature *
|
||||
!****************************************************************
|
||||
pure function constitutive_j2_dotTemperature(Tstar_v, Temperature, state, g, ip, el)
|
||||
|
||||
!*** variables and functions from other modules ***!
|
||||
use prec, only: p_vec
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of temperature (dummy function)
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
real(pReal) pure function constitutive_j2_dotTemperature(Tstar_v,temperature,state,ipc,ip,el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use mesh, only: &
|
||||
mesh_NcpElems, &
|
||||
mesh_maxNips
|
||||
use material, only: &
|
||||
homogenization_maxNgrains
|
||||
|
||||
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):: g, & ! 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
|
||||
real(pReal), dimension(6), intent(in) :: &
|
||||
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal), intent(in) :: &
|
||||
temperature !< temperature at integration point
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state !< microstructure state
|
||||
|
||||
!*** output variables ***!
|
||||
real(pReal) constitutive_j2_dotTemperature ! rate of change of temperature
|
||||
|
||||
! calculate dotTemperature
|
||||
constitutive_j2_dotTemperature = 0.0_pReal
|
||||
|
||||
end function constitutive_j2_dotTemperature
|
||||
|
||||
|
||||
!*********************************************************************
|
||||
!* return array of constitutive results *
|
||||
!*********************************************************************
|
||||
pure function constitutive_j2_postResults(Tstar_v, Temperature, dt, state, g, ip, el)
|
||||
|
||||
!*** variables and functions from other modules ***!
|
||||
use prec, only: p_vec
|
||||
use math, only: math_mul6x6
|
||||
use mesh, only: mesh_NcpElems, &
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief return array of constitutive results
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure function constitutive_j2_postResults(Tstar_v,temperature,dt,state,ipc,ip,el)
|
||||
use prec, only: &
|
||||
p_vec
|
||||
use math, only: &
|
||||
math_mul6x6
|
||||
use mesh, only: &
|
||||
mesh_NcpElems, &
|
||||
mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains, &
|
||||
use material, only: &
|
||||
homogenization_maxNgrains, &
|
||||
material_phase, &
|
||||
phase_plasticityInstance, &
|
||||
phase_Noutput
|
||||
|
||||
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, &
|
||||
dt ! current time increment
|
||||
integer(pInt), intent(in):: g, & ! 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), dimension(constitutive_j2_sizePostResults(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
|
||||
real(pReal), dimension(6), intent(in) :: &
|
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Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal), intent(in) :: &
|
||||
temperature, & !< temperature at integration point
|
||||
dt
|
||||
integer(pInt), intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
el !< element
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
||||
state
|
||||
real(pReal), dimension(constitutive_j2_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
constitutive_j2_postResults
|
||||
|
||||
!*** local variables ***!
|
||||
real(pReal), dimension(6) :: Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal) norm_Tstar_dev ! euclidean norm of Tstar_dev
|
||||
integer(pInt) matID, &
|
||||
real(pReal), dimension(6) :: &
|
||||
Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||||
real(pReal) :: &
|
||||
norm_Tstar_dev ! euclidean norm of Tstar_dev
|
||||
integer(pInt) :: &
|
||||
matID, &
|
||||
o, &
|
||||
c
|
||||
|
||||
!*** global variables ***!
|
||||
! constitutive_j2_gdot0
|
||||
! constitutive_j2_fTaylor
|
||||
! constitutive_j2_n
|
||||
|
||||
|
||||
matID = phase_plasticityInstance(material_phase(g,ip,el))
|
||||
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm
|
||||
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
||||
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
||||
|
|
@ -676,19 +677,19 @@ pure function constitutive_j2_postResults(Tstar_v, Temperature, dt, state, g, ip
|
|||
c = 0_pInt
|
||||
constitutive_j2_postResults = 0.0_pReal
|
||||
|
||||
do o = 1_pInt,phase_Noutput(material_phase(g,ip,el))
|
||||
outputsLoop: do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el))
|
||||
select case(constitutive_j2_output(o,matID))
|
||||
case ('flowstress')
|
||||
constitutive_j2_postResults(c+1_pInt) = state(g,ip,el)%p(1)
|
||||
constitutive_j2_postResults(c+1_pInt) = state(ipc,ip,el)%p(1)
|
||||
c = c + 1_pInt
|
||||
case ('strainrate')
|
||||
constitutive_j2_postResults(c+1_pInt) = &
|
||||
constitutive_j2_gdot0(matID) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
||||
/ &!---------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(g,ip,el)%p(1)) ) ** constitutive_j2_n(matID)
|
||||
/ &!----------------------------------------------------------------------------------
|
||||
(constitutive_j2_fTaylor(matID) * state(ipc,ip,el)%p(1)) ) ** constitutive_j2_n(matID)
|
||||
c = c + 1_pInt
|
||||
end select
|
||||
enddo
|
||||
enddo outputsLoop
|
||||
|
||||
end function constitutive_j2_postResults
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue