DAMASK_EICMD/code/constitutive_none.f90

489 lines
21 KiB
Fortran

! Copyright 2011 Max-Planck-Institut für Eisenforschung GmbH
!
! This file is part of DAMASK,
! the Düsseldorf Advanced MAterial Simulation Kit.
!
! DAMASK is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation, either version 3 of the License, or
! (at your option) any later version.
!
! DAMASK is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
!
!##############################################################
!* $Id$
!*****************************************************
!* Module: CONSTITUTIVE_J2 *
!*****************************************************
!* contains: *
!* - constitutive equations *
!* - parameters definition *
!*****************************************************
! [pure elasticity]
! elsticity hooke
! plasticity none
! lattice_structure hex
! covera_ratio 1.587
! c11 106.75e9
! c12 60.41e9
! c44 28.34e9
module constitutive_none
use prec, only: pReal,pInt
implicit none
private
character (len=*), parameter, public :: constitutive_none_label = 'none'
integer(pInt), dimension(:), allocatable, public :: &
constitutive_none_sizeDotState, &
constitutive_none_sizeState, &
constitutive_none_sizePostResults, &
constitutive_none_structure
character(len=32), dimension(:), allocatable, private :: &
constitutive_none_structureName
integer(pInt), dimension(:,:), allocatable, target, public :: &
constitutive_none_sizePostResult ! size of each post result output
real(pReal), dimension(:), allocatable, private :: &
constitutive_none_CoverA, &
constitutive_none_C11, &
constitutive_none_C12, &
constitutive_none_C13, &
constitutive_none_C33, &
constitutive_none_C44
real(pReal), dimension(:,:,:), allocatable, private :: &
constitutive_none_Cslip_66
public :: constitutive_none_init, &
constitutive_none_stateInit, &
constitutive_none_aTolState, &
constitutive_none_homogenizedC, &
constitutive_none_microstructure, &
constitutive_none_LpAndItsTangent, &
constitutive_none_dotState, &
constitutive_none_deltaState, &
constitutive_none_dotTemperature, &
constitutive_none_postResults
contains
subroutine constitutive_none_init(myFile)
!**************************************
!* Module initialization *
!**************************************
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use math, only: &
math_Mandel3333to66, &
math_Voigt66to3333
use IO, only: &
IO_lc, &
IO_getTag, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_floatValue, &
IO_error
use material
use debug, only: &
debug_level, &
debug_constitutive, &
debug_levelBasic
use lattice, only: lattice_initializeStructure, lattice_symmetryType
implicit none
integer(pInt), intent(in) :: myFile
integer(pInt), parameter :: maxNchunks = 7_pInt
integer(pInt), dimension(1_pInt+2_pInt*maxNchunks) :: positions
integer(pInt) :: section = 0_pInt, maxNinstance, i,j,k, mySize, myStructure
character(len=64) :: tag
character(len=1024) :: line
!$OMP CRITICAL (write2out)
write(6,*)
write(6,*) '<<<+- constitutive_',trim(constitutive_none_label),' init -+>>>'
write(6,*) '$Id$'
#include "compilation_info.f90"
!$OMP END CRITICAL (write2out)
maxNinstance = int(count(phase_plasticity == constitutive_none_label),pInt)
if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then
!$OMP CRITICAL (write2out)
write(6,'(a16,1x,i5)') '# instances:',maxNinstance
write(6,*)
!$OMP END CRITICAL (write2out)
endif
allocate(constitutive_none_sizeDotState(maxNinstance))
constitutive_none_sizeDotState = 0_pInt
allocate(constitutive_none_sizeState(maxNinstance))
constitutive_none_sizeState = 0_pInt
allocate(constitutive_none_sizePostResults(maxNinstance))
constitutive_none_sizePostResults = 0_pInt
allocate(constitutive_none_structureName(maxNinstance))
constitutive_none_structureName = ''
allocate(constitutive_none_structure(maxNinstance))
constitutive_none_structure = 0_pInt
allocate(constitutive_none_CoverA(maxNinstance))
constitutive_none_CoverA = 0.0_pReal
allocate(constitutive_none_C11(maxNinstance))
constitutive_none_C11 = 0.0_pReal
allocate(constitutive_none_C12(maxNinstance))
constitutive_none_C12 = 0.0_pReal
allocate(constitutive_none_C13(maxNinstance))
constitutive_none_C13 = 0.0_pReal
allocate(constitutive_none_C33(maxNinstance))
constitutive_none_C33 = 0.0_pReal
allocate(constitutive_none_C44(maxNinstance))
constitutive_none_C44 = 0.0_pReal
allocate(constitutive_none_Cslip_66(6,6,maxNinstance))
constitutive_none_Cslip_66 = 0.0_pReal
rewind(myFile)
do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
read(myFile,'(a1024)',END=100) line
enddo
do ! read thru sections of phase part
read(myFile,'(a1024)',END=100) line
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
if (IO_getTag(line,'[',']') /= '') then ! next section
section = section + 1_pInt ! advance section counter
cycle
endif
if (section > 0_pInt .and. phase_plasticity(section) == constitutive_none_label) then ! one of my sections
i = phase_plasticityInstance(section) ! which instance of my plasticity is present phase
positions = IO_stringPos(line,maxNchunks)
tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
select case(tag)
case ('plasticity','elasticity')
cycle
case ('lattice_structure')
constitutive_none_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt))
case ('covera_ratio')
constitutive_none_CoverA(i) = IO_floatValue(line,positions,2_pInt)
case ('c11')
constitutive_none_C11(i) = IO_floatValue(line,positions,2_pInt)
case ('c12')
constitutive_none_C12(i) = IO_floatValue(line,positions,2_pInt)
case ('c13')
constitutive_none_C13(i) = IO_floatValue(line,positions,2_pInt)
case ('c33')
constitutive_none_C33(i) = IO_floatValue(line,positions,2_pInt)
case ('c44')
constitutive_none_C44(i) = IO_floatValue(line,positions,2_pInt)
case default
call IO_error(210_pInt,ext_msg=tag//' ('//constitutive_none_label//')')
end select
endif
enddo
100 do i = 1_pInt,maxNinstance ! sanity checks
constitutive_none_structure(i) = lattice_initializeStructure(constitutive_none_structureName(i), & ! get structure
constitutive_none_CoverA(i))
myStructure = constitutive_none_structure(i)
if (myStructure < 1_pInt) call IO_error(205_pInt,e=i)
enddo
do i = 1_pInt,maxNinstance
constitutive_none_sizeDotState(i) = 1_pInt
constitutive_none_sizeState(i) = 1_pInt
myStructure = constitutive_none_structure(i)
select case (lattice_symmetryType(myStructure)) ! assign elasticity tensor
case(1_pInt) ! cubic(s)
forall(k=1_pInt:3_pInt)
forall(j=1_pInt:3_pInt) &
constitutive_none_Cslip_66(k,j,i) = constitutive_none_C12(i)
constitutive_none_Cslip_66(k,k,i) = constitutive_none_C11(i)
constitutive_none_Cslip_66(k+3_pInt,k+3_pInt,i) = constitutive_none_C44(i)
end forall
case(2_pInt) ! hex
constitutive_none_Cslip_66(1,1,i) = constitutive_none_C11(i)
constitutive_none_Cslip_66(2,2,i) = constitutive_none_C11(i)
constitutive_none_Cslip_66(3,3,i) = constitutive_none_C33(i)
constitutive_none_Cslip_66(1,2,i) = constitutive_none_C12(i)
constitutive_none_Cslip_66(2,1,i) = constitutive_none_C12(i)
constitutive_none_Cslip_66(1,3,i) = constitutive_none_C13(i)
constitutive_none_Cslip_66(3,1,i) = constitutive_none_C13(i)
constitutive_none_Cslip_66(2,3,i) = constitutive_none_C13(i)
constitutive_none_Cslip_66(3,2,i) = constitutive_none_C13(i)
constitutive_none_Cslip_66(4,4,i) = constitutive_none_C44(i)
constitutive_none_Cslip_66(5,5,i) = constitutive_none_C44(i)
constitutive_none_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_none_C11(i)- &
constitutive_none_C12(i))
end select
constitutive_none_Cslip_66(:,:,i) = &
math_Mandel3333to66(math_Voigt66to3333(constitutive_none_Cslip_66(:,:,i)))
enddo
end subroutine constitutive_none_init
!*********************************************************************
!* initial microstructural state *
!*********************************************************************
pure function constitutive_none_stateInit(myInstance)
implicit none
integer(pInt), intent(in) :: myInstance
real(pReal), dimension(1) :: constitutive_none_stateInit
constitutive_none_stateInit = 0.0_pReal
end function constitutive_none_stateInit
!*********************************************************************
!* relevant microstructural state *
!*********************************************************************
pure function constitutive_none_aTolState(myInstance)
implicit none
!*** input variables
integer(pInt), intent(in) :: myInstance ! number specifying the current instance of the plasticity
!*** output variables
real(pReal), dimension(constitutive_none_sizeState(myInstance)) :: &
constitutive_none_aTolState ! relevant state values for the current instance of this plasticity
constitutive_none_aTolState = 1.0_preal ! ensure convergence as state is always 0.0_pReal
end function constitutive_none_aTolState
function constitutive_none_homogenizedC(state,ipc,ip,el)
!*********************************************************************
!* homogenized elacticity matrix *
!* INPUT: *
!* - state : state variables *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: 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,ip,el
integer(pInt) :: matID
real(pReal), dimension(6,6) :: constitutive_none_homogenizedC
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
constitutive_none_homogenizedC = constitutive_none_Cslip_66(1:6,1:6,matID)
end function constitutive_none_homogenizedC
subroutine constitutive_none_microstructure(Temperature,state,ipc,ip,el)
!*********************************************************************
!* calculate derived quantities from state (not used here) *
!* INPUT: *
!* - Tp : temperature *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: p_vec
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase, phase_plasticityInstance
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el, matID
real(pReal) Temperature
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
end subroutine constitutive_none_microstructure
!****************************************************************
!* calculates plastic velocity gradient and its tangent *
!****************************************************************
pure subroutine constitutive_none_LpAndItsTangent(Lp, dLp_dTstar_99, Tstar_dev_v, Temperature, state, g, ip, el)
!*** variables and functions from other modules ***!
use prec, only: p_vec
use math, only: math_identity2nd
use mesh, only: mesh_NcpElems, &
mesh_maxNips
use material, only: homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
implicit none
!*** input variables ***!
real(pReal), dimension(6), intent(in):: Tstar_dev_v ! deviatoric part of the 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
!*** 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)
! Set Lp to zero and dLp_dTstar to Identity
Lp = 0.0_pReal
dLp_dTstar_99 = math_identity2nd(9)
end subroutine constitutive_none_LpAndItsTangent
!****************************************************************
!* calculates the rate of change of microstructure *
!****************************************************************
pure function constitutive_none_dotState(Tstar_v, Temperature, state, g, 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
!*** 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
!*** output variables ***!
real(pReal), dimension(1) :: constitutive_none_dotState ! evolution of state variable
constitutive_none_dotState = 0.0_pReal
end function constitutive_none_dotState
!*********************************************************************
!* (instantaneous) incremental change of microstructure *
!*********************************************************************
function constitutive_none_deltaState(Tstar_v, Temperature, state, g,ip,el)
use prec, only: pReal, &
pInt, &
p_vec
use mesh, only: mesh_NcpElems, &
mesh_maxNips
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
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! current microstructural state
!*** output variables
real(pReal), dimension(constitutive_none_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
constitutive_none_deltaState ! change of state variables / microstructure
!*** local variables
constitutive_none_deltaState = 0.0_pReal
endfunction
!****************************************************************
!* calculates the rate of change of temperature *
!****************************************************************
pure function constitutive_none_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
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
!*** output variables ***!
real(pReal) constitutive_none_dotTemperature ! rate of change of temperature
! calculate dotTemperature
constitutive_none_dotTemperature = 0.0_pReal
end function constitutive_none_dotTemperature
!*********************************************************************
!* return array of constitutive results *
!*********************************************************************
pure function constitutive_none_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, &
mesh_maxNips
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_none_sizePostResults(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
constitutive_none_postResults
constitutive_none_postResults = 0.0_pReal
end function constitutive_none_postResults
end module constitutive_none