This commit is contained in:
Martin Diehl 2018-12-18 18:17:06 +01:00
parent 4caf93a22f
commit f4cd4bbac5
1 changed files with 31 additions and 43 deletions

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@ -13,14 +13,10 @@ module homogenization_RGC
implicit none implicit none
private private
integer(pInt), dimension(:), allocatable, public :: &
homogenization_RGC_sizePostResults
integer(pInt), dimension(:,:), allocatable,target, public :: & integer(pInt), dimension(:,:), allocatable,target, public :: &
homogenization_RGC_sizePostResult homogenization_RGC_sizePostResult
character(len=64), dimension(:,:), allocatable,target, public :: & character(len=64), dimension(:,:), allocatable,target, public :: &
homogenization_RGC_output ! name of each post result output homogenization_RGC_output ! name of each post result output
integer(pInt), dimension(:), allocatable,target, public :: &
homogenization_RGC_Noutput !< number of outputs per homog instance
enum, bind(c) enum, bind(c)
enumerator :: undefined_ID, & enumerator :: undefined_ID, &
@ -125,7 +121,6 @@ subroutine homogenization_RGC_init()
integer(kind(undefined_ID)) :: & integer(kind(undefined_ID)) :: &
outputID !< ID of each post result output outputID !< ID of each post result output
character(len=65536), dimension(:), allocatable :: outputs character(len=65536), dimension(:), allocatable :: outputs
type(tParameters) :: prm
write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_RGC_label//' init -+>>>' write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_RGC_label//' init -+>>>'
write(6,'(/,a)') ' Tjahjanto et al., International Journal of Material Forming, 2(1):939942, 2009' write(6,'(/,a)') ' Tjahjanto et al., International Journal of Material Forming, 2(1):939942, 2009'
@ -139,13 +134,11 @@ subroutine homogenization_RGC_init()
if (maxNinstance == 0_pInt) return if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0_pInt) & if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0_pInt) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
allocate(homogenization_RGC_sizePostResults(maxNinstance), source=0_pInt)
allocate(param(maxNinstance)) ! one container of parameters per instance allocate(param(maxNinstance)) ! one container of parameters per instance
allocate(state(maxNinstance)) ! one container per instance allocate(state(maxNinstance)) ! one container per instance
allocate(dependentState(maxNinstance)) ! one container per instance allocate(dependentState(maxNinstance)) ! one container per instance
allocate(homogenization_RGC_Noutput(maxNinstance), source=0_pInt)
allocate(homogenization_RGC_output(maxval(homogenization_Noutput),maxNinstance)) allocate(homogenization_RGC_output(maxval(homogenization_Noutput),maxNinstance))
homogenization_RGC_output='' homogenization_RGC_output=''
allocate(homogenization_RGC_sizePostResult(maxval(homogenization_Noutput),maxNinstance),& allocate(homogenization_RGC_sizePostResult(maxval(homogenization_Noutput),maxNinstance),&
@ -215,8 +208,7 @@ subroutine homogenization_RGC_init()
! (6) Volume discrepancy, (7) Avg relaxation rate component, (8) Max relaxation rate component ! (6) Volume discrepancy, (7) Avg relaxation rate component, (8) Max relaxation rate component
homogState(h)%sizeState = sizeHState homogState(h)%sizeState = sizeHState
homogenization_RGC_sizePostResults(instance) = sum(homogenization_RGC_sizePostResult(:,instance)) homogState(h)%sizePostResults = sum(homogenization_RGC_sizePostResult(:,instance))
homogState(h)%sizePostResults = homogenization_RGC_sizePostResults(instance)
allocate(homogState(h)%state0 (sizeHState,NofMyHomog), source=0.0_pReal) allocate(homogState(h)%state0 (sizeHState,NofMyHomog), source=0.0_pReal)
allocate(homogState(h)%subState0(sizeHState,NofMyHomog), source=0.0_pReal) allocate(homogState(h)%subState0(sizeHState,NofMyHomog), source=0.0_pReal)
allocate(homogState(h)%state (sizeHState,NofMyHomog), source=0.0_pReal) allocate(homogState(h)%state (sizeHState,NofMyHomog), source=0.0_pReal)
@ -269,7 +261,6 @@ subroutine homogenization_RGC_partitionDeformation(F,avgF,instance,of)
integer(pInt), dimension (4) :: intFace integer(pInt), dimension (4) :: intFace
integer(pInt), dimension (3) :: iGrain3 integer(pInt), dimension (3) :: iGrain3
integer(pInt) :: iGrain,iFace,i,j integer(pInt) :: iGrain,iFace,i,j
type(tParameters) :: prm
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! compute the deformation gradient of individual grains due to relaxations ! compute the deformation gradient of individual grains due to relaxations
@ -571,16 +562,16 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
! ... of the constitutive stress tangent, assembled from dPdF or material constitutive model "smatrix" ! ... of the constitutive stress tangent, assembled from dPdF or material constitutive model "smatrix"
allocate(smatrix(3*nIntFaceTot,3*nIntFaceTot), source=0.0_pReal) allocate(smatrix(3*nIntFaceTot,3*nIntFaceTot), source=0.0_pReal)
do iNum = 1_pInt,nIntFaceTot do iNum = 1_pInt,nIntFaceTot
faceID = interface1to4(iNum,param(instance)%Nconstituents) ! assembling of local dPdF into global Jacobian matrix faceID = interface1to4(iNum,param(instance)%Nconstituents) ! assembling of local dPdF into global Jacobian matrix
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! identify the left/bottom/back grain (-|N) ! identify the left/bottom/back grain (-|N)
iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate sytem iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate sytem
iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate into global grain ID iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate into global grain ID
intFaceN = getInterface(2_pInt*faceID(1),iGr3N) ! identifying the connecting interface in local coordinate system intFaceN = getInterface(2_pInt*faceID(1),iGr3N) ! identifying the connecting interface in local coordinate system
normN = interfaceNormal(intFaceN,instance,of) normN = interfaceNormal(intFaceN,instance,of)
do iFace = 1_pInt,6_pInt do iFace = 1_pInt,6_pInt
intFaceN = getInterface(iFace,iGr3N) ! identifying all interfaces that influence relaxation of the above interface intFaceN = getInterface(iFace,iGr3N) ! identifying all interfaces that influence relaxation of the above interface
mornN = interfaceNormal(intFaceN,instance,of) mornN = interfaceNormal(intFaceN,instance,of)
iMun = interface4to1(intFaceN,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index iMun = interface4to1(intFaceN,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index
if (iMun > 0) then ! get the corresponding tangent if (iMun > 0) then ! get the corresponding tangent
@ -597,13 +588,13 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
! identify the right/up/front grain (+|P) ! identify the right/up/front grain (+|P)
iGr3P = iGr3N iGr3P = iGr3N
iGr3P(faceID(1)) = iGr3N(faceID(1))+1_pInt ! identifying the grain ID in local coordinate sytem iGr3P(faceID(1)) = iGr3N(faceID(1))+1_pInt ! identifying the grain ID in local coordinate sytem
iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate into global grain ID iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate into global grain ID
intFaceP = getInterface(2_pInt*faceID(1)-1_pInt,iGr3P) ! identifying the connecting interface in local coordinate system intFaceP = getInterface(2_pInt*faceID(1)-1_pInt,iGr3P) ! identifying the connecting interface in local coordinate system
normP = interfaceNormal(intFaceP,instance,of) normP = interfaceNormal(intFaceP,instance,of)
do iFace = 1_pInt,6_pInt do iFace = 1_pInt,6_pInt
intFaceP = getInterface(iFace,iGr3P) ! identifying all interfaces that influence relaxation of the above interface intFaceP = getInterface(iFace,iGr3P) ! identifying all interfaces that influence relaxation of the above interface
mornP = interfaceNormal(intFaceP,instance,of) mornP = interfaceNormal(intFaceP,instance,of)
iMun = interface4to1(intFaceP,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index iMun = interface4to1(intFaceP,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index
if (iMun > 0_pInt) then ! get the corresponding tangent if (iMun > 0_pInt) then ! get the corresponding tangent
do i=1_pInt,3_pInt; do j=1_pInt,3_pInt; do k=1_pInt,3_pInt; do l=1_pInt,3_pInt do i=1_pInt,3_pInt; do j=1_pInt,3_pInt; do k=1_pInt,3_pInt; do l=1_pInt,3_pInt
smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) & smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) &
@ -637,9 +628,9 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
p_relax = relax p_relax = relax
p_relax(ipert) = relax(ipert) + pPert_RGC ! perturb the relaxation vector p_relax(ipert) = relax(ipert) + pPert_RGC ! perturb the relaxation vector
homogState(mappingHomogenization(2,ip,el))%state(1:3*nIntFaceTot,of) = p_relax homogState(mappingHomogenization(2,ip,el))%state(1:3*nIntFaceTot,of) = p_relax
call grainDeformation(pF,avgF,instance,of) ! compute the grains deformation from perturbed state call grainDeformation(pF,avgF,instance,of) ! rain deformation from perturbed state
call stressPenalty(pR,pNN,avgF,pF,ip,el,instance) ! compute stress penalty due to interface mismatch from perturbed state call stressPenalty(pR,pNN,avgF,pF,ip,el,instance) ! stress penalty due to interface mismatch from perturbed state
call volumePenalty(pD,volDiscrep,pF,avgF,ip,el) ! compute stress penalty due to volume discrepancy from perturbed state call volumePenalty(pD,volDiscrep,pF,avgF,ip,el) ! stress penalty due to volume discrepancy from perturbed state
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! computing the global stress residual array from the perturbed state ! computing the global stress residual array from the perturbed state
@ -649,17 +640,17 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! identify the left/bottom/back grain (-|N) ! identify the left/bottom/back grain (-|N)
iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate system (3-dimensional index) iGr3N = faceID(2:4) ! identify the grain ID in local coordinate system (3-dimensional index)
iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
intFaceN = getInterface(2_pInt*faceID(1),iGr3N) ! identifying the interface ID of the grain intFaceN = getInterface(2_pInt*faceID(1),iGr3N) ! identify the interface ID of the grain
normN = interfaceNormal(intFaceN,instance,of) normN = interfaceNormal(intFaceN,instance,of)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! identify the right/up/front grain (+|P) ! identify the right/up/front grain (+|P)
iGr3P = iGr3N iGr3P = iGr3N
iGr3P(faceID(1)) = iGr3N(faceID(1))+1_pInt ! identifying the grain ID in local coordinate system (3-dimensional index) iGr3P(faceID(1)) = iGr3N(faceID(1))+1_pInt ! identify the grain ID in local coordinate system (3-dimensional index)
iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
intFaceP = getInterface(2_pInt*faceID(1)-1_pInt,iGr3P) ! identifying the interface ID of the grain intFaceP = getInterface(2_pInt*faceID(1)-1_pInt,iGr3P) ! identify the interface ID of the grain
normP = interfaceNormal(intFaceP,instance,of) normP = interfaceNormal(intFaceP,instance,of)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -796,8 +787,6 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
real(pReal), dimension (2) :: Gmoduli real(pReal), dimension (2) :: Gmoduli
integer(pInt) :: iGrain,iGNghb,iFace,i,j,k,l,of integer(pInt) :: iGrain,iGNghb,iFace,i,j,k,l,of
real(pReal) :: muGrain,muGNghb,nDefNorm,bgGrain,bgGNghb real(pReal) :: muGrain,muGNghb,nDefNorm,bgGrain,bgGNghb
type(tParameters) :: prm
real(pReal), parameter :: nDefToler = 1.0e-10_pReal real(pReal), parameter :: nDefToler = 1.0e-10_pReal
logical :: debugActive logical :: debugActive
@ -825,24 +814,24 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
! computing the mismatch and penalty stress tensor of all grains ! computing the mismatch and penalty stress tensor of all grains
do iGrain = 1_pInt,product(prm%Nconstituents) do iGrain = 1_pInt,product(prm%Nconstituents)
Gmoduli = equivalentModuli(iGrain,ip,el) Gmoduli = equivalentModuli(iGrain,ip,el)
muGrain = Gmoduli(1) ! collecting the equivalent shear modulus of grain muGrain = Gmoduli(1) ! collecting the equivalent shear modulus of grain
bgGrain = Gmoduli(2) ! and the lengthh of Burgers vector bgGrain = Gmoduli(2) ! and the lengthh of Burgers vector
iGrain3 = grain1to3(iGrain,prm%Nconstituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position iGrain3 = grain1to3(iGrain,prm%Nconstituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position
!* Looping over all six interfaces of each grain !* Looping over all six interfaces of each grain
do iFace = 1_pInt,6_pInt do iFace = 1_pInt,6_pInt
intFace = getInterface(iFace,iGrain3) ! get the 4-dimensional index of the interface in local numbering system of the grain intFace = getInterface(iFace,iGrain3) ! get the 4-dimensional index of the interface in local numbering system of the grain
nVect = interfaceNormal(intFace,instance,of) nVect = interfaceNormal(intFace,instance,of)
iGNghb3 = iGrain3 ! identify the neighboring grain across the interface iGNghb3 = iGrain3 ! identify the neighboring grain across the interface
iGNghb3(abs(intFace(1))) = iGNghb3(abs(intFace(1))) & iGNghb3(abs(intFace(1))) = iGNghb3(abs(intFace(1))) &
+ int(real(intFace(1),pReal)/real(abs(intFace(1)),pReal),pInt) + int(real(intFace(1),pReal)/real(abs(intFace(1)),pReal),pInt)
where(iGNghb3 < 1) iGNghb3 = nGDim where(iGNghb3 < 1) iGNghb3 = nGDim
where(iGNghb3 >nGDim) iGNghb3 = 1_pInt where(iGNghb3 >nGDim) iGNghb3 = 1_pInt
iGNghb = grain3to1(iGNghb3,prm%Nconstituents) ! get the ID of the neighboring grain iGNghb = grain3to1(iGNghb3,prm%Nconstituents) ! get the ID of the neighboring grain
Gmoduli = equivalentModuli(iGNghb,ip,el) ! collecting the shear modulus and Burgers vector of the neighbor Gmoduli = equivalentModuli(iGNghb,ip,el) ! collect the shear modulus and Burgers vector of the neighbor
muGNghb = Gmoduli(1) muGNghb = Gmoduli(1)
bgGNghb = Gmoduli(2) bgGNghb = Gmoduli(2)
gDef = 0.5_pReal*(fDef(1:3,1:3,iGNghb) - fDef(1:3,1:3,iGrain)) ! compute the difference/jump in deformation gradeint across the neighbor gDef = 0.5_pReal*(fDef(1:3,1:3,iGNghb) - fDef(1:3,1:3,iGrain)) ! difference/jump in deformation gradeint across the neighbor
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! compute the mismatch tensor of all interfaces ! compute the mismatch tensor of all interfaces
@ -850,12 +839,12 @@ function homogenization_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
nDef = 0.0_pReal nDef = 0.0_pReal
do i = 1_pInt,3_pInt; do j = 1_pInt,3_pInt do i = 1_pInt,3_pInt; do j = 1_pInt,3_pInt
do k = 1_pInt,3_pInt; do l = 1_pInt,3_pInt do k = 1_pInt,3_pInt; do l = 1_pInt,3_pInt
nDef(i,j) = nDef(i,j) - nVect(k)*gDef(i,l)*math_civita(j,k,l) ! compute the interface mismatch tensor from the jump of deformation gradient nDef(i,j) = nDef(i,j) - nVect(k)*gDef(i,l)*math_civita(j,k,l) ! compute the interface mismatch tensor from the jump of deformation gradient
enddo; enddo enddo; enddo
nDefNorm = nDefNorm + nDef(i,j)**2.0_pReal ! compute the norm of the mismatch tensor nDefNorm = nDefNorm + nDef(i,j)**2.0_pReal ! compute the norm of the mismatch tensor
enddo; enddo enddo; enddo
nDefNorm = max(nDefToler,sqrt(nDefNorm)) ! approximation to zero mismatch if mismatch is zero (singularity) nDefNorm = max(nDefToler,sqrt(nDefNorm)) ! approximation to zero mismatch if mismatch is zero (singularity)
nMis(abs(intFace(1)),iGrain) = nMis(abs(intFace(1)),iGrain) + nDefNorm ! total amount of mismatch experienced by the grain (at all six interfaces) nMis(abs(intFace(1)),iGrain) = nMis(abs(intFace(1)),iGrain) + nDefNorm ! total amount of mismatch experienced by the grain (at all six interfaces)
if (debugActive) then if (debugActive) then
write(6,'(1x,a20,i2,1x,a20,1x,i3)')'Mismatch to face: ',intFace(1),'neighbor grain: ',iGNghb write(6,'(1x,a20,i2,1x,a20,1x,i3)')'Mismatch to face: ',intFace(1),'neighbor grain: ',iGNghb
@ -1082,8 +1071,7 @@ pure function homogenization_RGC_postResults(ip,el) result(postResults)
el !< element number el !< element number
integer(pInt) instance,o,c,of integer(pInt) instance,o,c,of
type(tParameters) :: prm real(pReal), dimension(sum(homogenization_RGC_sizePostResult(:,homogenization_typeInstance(material_homogenizationAt(el))))) :: &
real(pReal), dimension(homogenization_RGC_sizePostResults(homogenization_typeInstance(material_homogenizationAt(el)))) :: &
postResults postResults
instance = homogenization_typeInstance(material_homogenizationAt(el)) instance = homogenization_typeInstance(material_homogenizationAt(el))