489 lines
21 KiB
Fortran
489 lines
21 KiB
Fortran
! Copyright 2011 Max-Planck-Institut für Eisenforschung GmbH
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!
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! This file is part of DAMASK,
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! the Düsseldorf Advanced MAterial Simulation Kit.
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!
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! DAMASK is free software: you can redistribute it and/or modify
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! it under the terms of the GNU General Public License as published by
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! the Free Software Foundation, either version 3 of the License, or
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! (at your option) any later version.
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!
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! DAMASK is distributed in the hope that it will be useful,
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! but WITHOUT ANY WARRANTY; without even the implied warranty of
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! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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! GNU General Public License for more details.
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!
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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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! [pure elasticity]
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! elsticity hooke
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! plasticity none
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! lattice_structure hex
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! covera_ratio 1.587
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! c11 106.75e9
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! c12 60.41e9
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! c44 28.34e9
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module constitutive_none
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use prec, only: pReal,pInt
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implicit none
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private
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character (len=*), parameter, public :: constitutive_none_label = 'none'
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integer(pInt), dimension(:), allocatable, public :: &
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constitutive_none_sizeDotState, &
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constitutive_none_sizeState, &
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constitutive_none_sizePostResults, &
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constitutive_none_structure
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character(len=32), dimension(:), allocatable, private :: &
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constitutive_none_structureName
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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constitutive_none_sizePostResult ! size of each post result output
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real(pReal), dimension(:), allocatable, private :: &
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constitutive_none_CoverA, &
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constitutive_none_C11, &
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constitutive_none_C12, &
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constitutive_none_C13, &
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constitutive_none_C33, &
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constitutive_none_C44
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real(pReal), dimension(:,:,:), allocatable, private :: &
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constitutive_none_Cslip_66
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public :: constitutive_none_init, &
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constitutive_none_stateInit, &
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constitutive_none_aTolState, &
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constitutive_none_homogenizedC, &
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constitutive_none_microstructure, &
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constitutive_none_LpAndItsTangent, &
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constitutive_none_dotState, &
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constitutive_none_deltaState, &
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constitutive_none_dotTemperature, &
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constitutive_none_postResults
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contains
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subroutine constitutive_none_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_lc, &
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IO_getTag, &
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IO_isBlank, &
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IO_stringPos, &
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IO_stringValue, &
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IO_floatValue, &
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IO_error
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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_initializeStructure, lattice_symmetryType
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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), dimension(1_pInt+2_pInt*maxNchunks) :: positions
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integer(pInt) :: section = 0_pInt, maxNinstance, i,j,k, mySize, myStructure
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character(len=64) :: tag
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character(len=1024) :: line
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!$OMP CRITICAL (write2out)
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write(6,*)
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write(6,*) '<<<+- constitutive_',trim(constitutive_none_label),' init -+>>>'
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write(6,*) '$Id$'
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#include "compilation_info.f90"
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!$OMP END CRITICAL (write2out)
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maxNinstance = int(count(phase_plasticity == constitutive_none_label),pInt)
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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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!$OMP CRITICAL (write2out)
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write(6,'(a16,1x,i5)') '# instances:',maxNinstance
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write(6,*)
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!$OMP END CRITICAL (write2out)
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endif
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allocate(constitutive_none_sizeDotState(maxNinstance))
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constitutive_none_sizeDotState = 0_pInt
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allocate(constitutive_none_sizeState(maxNinstance))
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constitutive_none_sizeState = 0_pInt
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allocate(constitutive_none_sizePostResults(maxNinstance))
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constitutive_none_sizePostResults = 0_pInt
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allocate(constitutive_none_structureName(maxNinstance))
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constitutive_none_structureName = ''
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allocate(constitutive_none_structure(maxNinstance))
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constitutive_none_structure = 0_pInt
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allocate(constitutive_none_CoverA(maxNinstance))
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constitutive_none_CoverA = 0.0_pReal
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allocate(constitutive_none_C11(maxNinstance))
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constitutive_none_C11 = 0.0_pReal
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allocate(constitutive_none_C12(maxNinstance))
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constitutive_none_C12 = 0.0_pReal
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allocate(constitutive_none_C13(maxNinstance))
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constitutive_none_C13 = 0.0_pReal
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allocate(constitutive_none_C33(maxNinstance))
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constitutive_none_C33 = 0.0_pReal
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allocate(constitutive_none_C44(maxNinstance))
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constitutive_none_C44 = 0.0_pReal
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allocate(constitutive_none_Cslip_66(6,6,maxNinstance))
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constitutive_none_Cslip_66 = 0.0_pReal
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rewind(myFile)
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do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
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read(myFile,'(a1024)',END=100) line
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enddo
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do ! read thru sections of phase part
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read(myFile,'(a1024)',END=100) line
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if (IO_isBlank(line)) cycle ! skip empty lines
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if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
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if (IO_getTag(line,'[',']') /= '') then ! next section
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section = section + 1_pInt ! advance section counter
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cycle
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endif
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if (section > 0_pInt .and. phase_plasticity(section) == constitutive_none_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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select case(tag)
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case ('plasticity','elasticity')
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cycle
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case ('lattice_structure')
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constitutive_none_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt))
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case ('covera_ratio')
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constitutive_none_CoverA(i) = IO_floatValue(line,positions,2_pInt)
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case ('c11')
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constitutive_none_C11(i) = IO_floatValue(line,positions,2_pInt)
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case ('c12')
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constitutive_none_C12(i) = IO_floatValue(line,positions,2_pInt)
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case ('c13')
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constitutive_none_C13(i) = IO_floatValue(line,positions,2_pInt)
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case ('c33')
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constitutive_none_C33(i) = IO_floatValue(line,positions,2_pInt)
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case ('c44')
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constitutive_none_C44(i) = IO_floatValue(line,positions,2_pInt)
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case default
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call IO_error(210_pInt,ext_msg=tag//' ('//constitutive_none_label//')')
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end select
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endif
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enddo
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100 do i = 1_pInt,maxNinstance ! sanity checks
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constitutive_none_structure(i) = lattice_initializeStructure(constitutive_none_structureName(i), & ! get structure
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constitutive_none_CoverA(i))
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myStructure = constitutive_none_structure(i)
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if (myStructure < 1_pInt) call IO_error(205_pInt,e=i)
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enddo
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do i = 1_pInt,maxNinstance
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constitutive_none_sizeDotState(i) = 1_pInt
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constitutive_none_sizeState(i) = 1_pInt
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myStructure = constitutive_none_structure(i)
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select case (lattice_symmetryType(myStructure)) ! assign elasticity tensor
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case(1_pInt) ! cubic(s)
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forall(k=1_pInt:3_pInt)
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forall(j=1_pInt:3_pInt) &
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constitutive_none_Cslip_66(k,j,i) = constitutive_none_C12(i)
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constitutive_none_Cslip_66(k,k,i) = constitutive_none_C11(i)
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constitutive_none_Cslip_66(k+3_pInt,k+3_pInt,i) = constitutive_none_C44(i)
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end forall
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case(2_pInt) ! hex
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constitutive_none_Cslip_66(1,1,i) = constitutive_none_C11(i)
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constitutive_none_Cslip_66(2,2,i) = constitutive_none_C11(i)
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constitutive_none_Cslip_66(3,3,i) = constitutive_none_C33(i)
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constitutive_none_Cslip_66(1,2,i) = constitutive_none_C12(i)
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constitutive_none_Cslip_66(2,1,i) = constitutive_none_C12(i)
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constitutive_none_Cslip_66(1,3,i) = constitutive_none_C13(i)
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constitutive_none_Cslip_66(3,1,i) = constitutive_none_C13(i)
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constitutive_none_Cslip_66(2,3,i) = constitutive_none_C13(i)
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constitutive_none_Cslip_66(3,2,i) = constitutive_none_C13(i)
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constitutive_none_Cslip_66(4,4,i) = constitutive_none_C44(i)
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constitutive_none_Cslip_66(5,5,i) = constitutive_none_C44(i)
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constitutive_none_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_none_C11(i)- &
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constitutive_none_C12(i))
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end select
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constitutive_none_Cslip_66(:,:,i) = &
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math_Mandel3333to66(math_Voigt66to3333(constitutive_none_Cslip_66(:,:,i)))
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enddo
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end subroutine constitutive_none_init
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!*********************************************************************
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!* initial microstructural state *
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!*********************************************************************
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pure function constitutive_none_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_none_stateInit
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constitutive_none_stateInit = 0.0_pReal
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end function constitutive_none_stateInit
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!*********************************************************************
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!* relevant microstructural state *
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!*********************************************************************
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pure function constitutive_none_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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!*** output variables
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real(pReal), dimension(constitutive_none_sizeState(myInstance)) :: &
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constitutive_none_aTolState ! relevant state values for the current instance of this plasticity
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constitutive_none_aTolState = 1.0_preal ! ensure convergence as state is always 0.0_pReal
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end function constitutive_none_aTolState
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function constitutive_none_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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integer(pInt) :: matID
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real(pReal), dimension(6,6) :: constitutive_none_homogenizedC
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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matID = phase_plasticityInstance(material_phase(ipc,ip,el))
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constitutive_none_homogenizedC = constitutive_none_Cslip_66(1:6,1:6,matID)
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end function constitutive_none_homogenizedC
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subroutine constitutive_none_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) ipc,ip,el, matID
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real(pReal) Temperature
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
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matID = phase_plasticityInstance(material_phase(ipc,ip,el))
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end subroutine constitutive_none_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_none_LpAndItsTangent(Lp, dLp_dTstar_99, Tstar_dev_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_identity2nd
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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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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_dev_v ! deviatoric part of the 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
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el ! element number
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in):: state ! state of the current microstructure
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!*** output variables ***!
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real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
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real(pReal), dimension(9,9), intent(out) :: dLp_dTstar_99 ! derivative of Lp with respect to Tstar (9x9 matrix)
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! Set Lp to zero and dLp_dTstar to Identity
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Lp = 0.0_pReal
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dLp_dTstar_99 = math_identity2nd(9)
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end subroutine constitutive_none_LpAndItsTangent
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!****************************************************************
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!* calculates the rate of change of microstructure *
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!****************************************************************
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pure function constitutive_none_dotState(Tstar_v, Temperature, state, g, ip, el)
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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, &
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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
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el ! element number
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state ! state of the current microstructure
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!*** output variables ***!
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real(pReal), dimension(1) :: constitutive_none_dotState ! evolution of state variable
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constitutive_none_dotState = 0.0_pReal
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end function constitutive_none_dotState
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!*********************************************************************
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!* (instantaneous) incremental change of microstructure *
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!*********************************************************************
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function constitutive_none_deltaState(Tstar_v, Temperature, state, g,ip,el)
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use prec, only: pReal, &
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pInt, &
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p_vec
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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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material_phase, &
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phase_plasticityInstance
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implicit none
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!*** input variables
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integer(pInt), intent(in) :: g, & ! current grain number
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ip, & ! current integration point
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el ! current element number
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real(pReal), intent(in) :: Temperature ! temperature
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real(pReal), dimension(6), intent(in) :: Tstar_v ! current 2nd Piola-Kirchhoff stress in Mandel notation
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
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state ! current microstructural state
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!*** output variables
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real(pReal), dimension(constitutive_none_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
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constitutive_none_deltaState ! change of state variables / microstructure
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!*** local variables
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constitutive_none_deltaState = 0.0_pReal
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endfunction
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!****************************************************************
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!* calculates the rate of change of temperature *
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!****************************************************************
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pure function constitutive_none_dotTemperature(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 mesh, only: mesh_NcpElems,mesh_maxNips
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use material, only: homogenization_maxNgrains
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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
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el ! element number
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state ! state of the current microstructure
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!*** output variables ***!
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real(pReal) constitutive_none_dotTemperature ! rate of change of temperature
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! calculate dotTemperature
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constitutive_none_dotTemperature = 0.0_pReal
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end function constitutive_none_dotTemperature
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!*********************************************************************
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!* return array of constitutive results *
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!*********************************************************************
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pure function constitutive_none_postResults(Tstar_v, Temperature, dt, 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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use mesh, only: mesh_NcpElems, &
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mesh_maxNips
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use material, only: homogenization_maxNgrains, &
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material_phase, &
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phase_plasticityInstance, &
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phase_Noutput
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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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dt ! current time increment
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integer(pInt), intent(in):: g, & ! grain number
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ip, & ! integration point number
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el ! element number
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state ! state of the current microstructure
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!*** output variables ***!
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real(pReal), dimension(constitutive_none_sizePostResults(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
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constitutive_none_postResults
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constitutive_none_postResults = 0.0_pReal
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end function constitutive_none_postResults
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end module constitutive_none
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