instance less; use cell mapping
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@ -126,14 +126,15 @@ module homogenization
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integer, intent(in) :: h
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end subroutine mechanical_results
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module function mechanical_updateState(subdt,subF,ip,el) result(doneAndHappy)
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module function mechanical_updateState(subdt,subF,ce,ip,el) result(doneAndHappy)
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real(pReal), intent(in) :: &
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subdt !< current time step
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subdt !< current time step
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real(pReal), intent(in), dimension(3,3) :: &
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subF
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integer, intent(in) :: &
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ip, & !< integration point
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el !< element number
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ce, & !< cell
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ip, &
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el
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logical, dimension(2) :: doneAndHappy
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end function mechanical_updateState
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@ -326,7 +327,7 @@ subroutine materialpoint_stressAndItsTangent(dt,FEsolving_execIP,FEsolving_execE
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if (.not. converged) then
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doneAndHappy = [.true.,.false.]
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else
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doneAndHappy = mechanical_updateState(dt,homogenization_F(1:3,1:3,ce),ip,el)
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doneAndHappy = mechanical_updateState(dt,homogenization_F(1:3,1:3,ce),ce,ip,el)
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converged = all(doneAndHappy)
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endif
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endif
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@ -51,7 +51,7 @@ submodule(homogenization) mechanical
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end subroutine mechanical_RGC_averageStressAndItsTangent
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module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAndHappy)
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module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ce) result(doneAndHappy)
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logical, dimension(2) :: doneAndHappy
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real(pReal), dimension(:,:,:), intent(in) :: &
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P,& !< partitioned stresses
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@ -60,8 +60,7 @@ submodule(homogenization) mechanical
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real(pReal), dimension(3,3), intent(in) :: avgF !< average F
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real(pReal), intent(in) :: dt !< time increment
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integer, intent(in) :: &
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ip, & !< integration point number
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el !< element number
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ce !< cell
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end function mechanical_RGC_updateState
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@ -188,30 +187,31 @@ end subroutine mechanical_homogenize
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!> @brief update the internal state of the homogenization scheme and tell whether "done" and
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!> "happy" with result
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!--------------------------------------------------------------------------------------------------
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module function mechanical_updateState(subdt,subF,ip,el) result(doneAndHappy)
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module function mechanical_updateState(subdt,subF,ce,ip,el) result(doneAndHappy)
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real(pReal), intent(in) :: &
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subdt !< current time step
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real(pReal), intent(in), dimension(3,3) :: &
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subF
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integer, intent(in) :: &
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ip, & !< integration point
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el !< element number
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ce, &
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ip, &
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el
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logical, dimension(2) :: doneAndHappy
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integer :: co
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real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt(el)))
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real(pReal) :: Fs(3,3,homogenization_Nconstituents(material_homogenizationAt(el)))
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real(pReal) :: Ps(3,3,homogenization_Nconstituents(material_homogenizationAt(el)))
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real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt2(ce)))
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real(pReal) :: Fs(3,3,homogenization_Nconstituents(material_homogenizationAt2(ce)))
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real(pReal) :: Ps(3,3,homogenization_Nconstituents(material_homogenizationAt2(ce)))
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if (homogenization_type(material_homogenizationAt(el)) == HOMOGENIZATION_RGC_ID) then
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do co = 1, homogenization_Nconstituents(material_homogenizationAt(el))
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if (homogenization_type(material_homogenizationAt2(ce)) == HOMOGENIZATION_RGC_ID) then
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do co = 1, homogenization_Nconstituents(material_homogenizationAt2(ce))
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dPdFs(:,:,:,:,co) = phase_mechanical_dPdF(subdt,co,ip,el)
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Fs(:,:,co) = phase_mechanical_getF(co,ip,el)
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Ps(:,:,co) = phase_mechanical_getP(co,ip,el)
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enddo
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doneAndHappy = mechanical_RGC_updateState(Ps,Fs,subF,subdt,dPdFs,ip,el)
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doneAndHappy = mechanical_RGC_updateState(Ps,Fs,subF,subdt,dPdFs,ce)
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else
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doneAndHappy = .true.
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endif
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@ -236,7 +236,7 @@ end subroutine mechanical_RGC_partitionDeformation
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!> @brief update the internal state of the homogenization scheme and tell whether "done" and
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! "happy" with result
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!--------------------------------------------------------------------------------------------------
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module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAndHappy)
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module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ce) result(doneAndHappy)
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logical, dimension(2) :: doneAndHappy
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real(pReal), dimension(:,:,:), intent(in) :: &
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P,& !< partitioned stresses
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@ -245,12 +245,11 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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real(pReal), dimension(3,3), intent(in) :: avgF !< average F
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real(pReal), intent(in) :: dt !< time increment
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integer, intent(in) :: &
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ip, & !< integration point number
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el !< element number
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ce !< cell
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integer, dimension(4) :: intFaceN,intFaceP,faceID
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integer, dimension(3) :: nGDim,iGr3N,iGr3P
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integer :: instance,iNum,i,j,nIntFaceTot,iGrN,iGrP,iMun,iFace,k,l,ipert,iGrain,nGrain, of
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integer :: instance,iNum,i,j,nIntFaceTot,iGrN,iGrP,iMun,iFace,k,l,ipert,iGrain,nGrain, me
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real(pReal), dimension(3,3,size(P,3)) :: R,pF,pR,D,pD
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real(pReal), dimension(3,size(P,3)) :: NN,devNull
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real(pReal), dimension(3) :: normP,normN,mornP,mornN
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@ -264,9 +263,9 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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return
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endif zeroTimeStep
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instance = homogenization_typeInstance(material_homogenizationAt(el))
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of = material_homogenizationMemberAt(ip,el)
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instance = homogenization_typeInstance(material_homogenizationAt2(ce))
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me = material_homogenizationMemberAt2(ce)
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associate(stt => state(instance), st0 => state0(instance), dst => dependentState(instance), prm => param(instance))
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!--------------------------------------------------------------------------------------------------
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@ -281,16 +280,16 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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! allocate the size of the global relaxation arrays/jacobian matrices depending on the size of the cluster
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allocate(resid(3*nIntFaceTot), source=0.0_pReal)
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allocate(tract(nIntFaceTot,3), source=0.0_pReal)
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relax = stt%relaxationVector(:,of)
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drelax = stt%relaxationVector(:,of) - st0%relaxationVector(:,of)
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relax = stt%relaxationVector(:,me)
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drelax = stt%relaxationVector(:,me) - st0%relaxationVector(:,me)
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!--------------------------------------------------------------------------------------------------
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! computing interface mismatch and stress penalty tensor for all interfaces of all grains
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call stressPenalty(R,NN,avgF,F,ip,el,instance,of)
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call stressPenalty(R,NN,avgF,F,ce,me)
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!--------------------------------------------------------------------------------------------------
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! calculating volume discrepancy and stress penalty related to overall volume discrepancy
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call volumePenalty(D,dst%volumeDiscrepancy(of),avgF,F,nGrain,instance,of)
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call volumePenalty(D,dst%volumeDiscrepancy(me),avgF,F,nGrain,ce,me)
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!------------------------------------------------------------------------------------------------
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! computing the residual stress from the balance of traction at all (interior) interfaces
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@ -302,7 +301,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate system (3-dimensional index)
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iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
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intFaceN = getInterface(2*faceID(1),iGr3N)
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normN = interfaceNormal(intFaceN,instance,of)
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normN = interfaceNormal(intFaceN,ce,me)
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!--------------------------------------------------------------------------------------------------
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! identify the right/up/front grain (+|P)
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@ -310,7 +309,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate system (3-dimensional index)
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iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
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intFaceP = getInterface(2*faceID(1)-1,iGr3P)
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normP = interfaceNormal(intFaceP,instance,of)
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normP = interfaceNormal(intFaceP,ce,me)
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!--------------------------------------------------------------------------------------------------
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! compute the residual of traction at the interface (in local system, 4-dimensional index)
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@ -338,9 +337,9 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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if (residMax < num%rtol*stresMax .or. residMax < num%atol) then
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doneAndHappy = .true.
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dst%mismatch(1:3,of) = sum(NN,2)/real(nGrain,pReal)
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dst%relaxationRate_avg(of) = sum(abs(drelax))/dt/real(3*nIntFaceTot,pReal)
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dst%relaxationRate_max(of) = maxval(abs(drelax))/dt
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dst%mismatch(1:3,me) = sum(NN,2)/real(nGrain,pReal)
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dst%relaxationRate_avg(me) = sum(abs(drelax))/dt/real(3*nIntFaceTot,pReal)
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dst%relaxationRate_max(me) = maxval(abs(drelax))/dt
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return
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@ -366,10 +365,10 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate sytem
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iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate into global grain ID
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intFaceN = getInterface(2*faceID(1),iGr3N) ! identifying the connecting interface in local coordinate system
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normN = interfaceNormal(intFaceN,instance,of)
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normN = interfaceNormal(intFaceN,ce,me)
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do iFace = 1,6
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intFaceN = getInterface(iFace,iGr3N) ! identifying all interfaces that influence relaxation of the above interface
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mornN = interfaceNormal(intFaceN,instance,of)
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mornN = interfaceNormal(intFaceN,ce,me)
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iMun = interface4to1(intFaceN,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index
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if (iMun > 0) then ! get the corresponding tangent
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do i=1,3; do j=1,3; do k=1,3; do l=1,3
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@ -387,10 +386,10 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate sytem
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iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate into global grain ID
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intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identifying the connecting interface in local coordinate system
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normP = interfaceNormal(intFaceP,instance,of)
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normP = interfaceNormal(intFaceP,ce,me)
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do iFace = 1,6
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intFaceP = getInterface(iFace,iGr3P) ! identifying all interfaces that influence relaxation of the above interface
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mornP = interfaceNormal(intFaceP,instance,of)
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mornP = interfaceNormal(intFaceP,ce,me)
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iMun = interface4to1(intFaceP,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index
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if (iMun > 0) then ! get the corresponding tangent
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do i=1,3; do j=1,3; do k=1,3; do l=1,3
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@ -411,10 +410,10 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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do ipert = 1,3*nIntFaceTot
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p_relax = relax
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p_relax(ipert) = relax(ipert) + num%pPert ! perturb the relaxation vector
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stt%relaxationVector(:,of) = p_relax
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call grainDeformation(pF,avgF,instance,of) ! rain deformation from perturbed state
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call stressPenalty(pR,DevNull, avgF,pF,ip,el,instance,of) ! stress penalty due to interface mismatch from perturbed state
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call volumePenalty(pD,devNull(1,1), avgF,pF,nGrain,instance,of) ! stress penalty due to volume discrepancy from perturbed state
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stt%relaxationVector(:,me) = p_relax
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call grainDeformation(pF,avgF,ce,me) ! rain deformation from perturbed state
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call stressPenalty(pR,DevNull, avgF,pF,ce,me) ! stress penalty due to interface mismatch from perturbed state
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call volumePenalty(pD,devNull(1,1), avgF,pF,nGrain,ce,me) ! stress penalty due to volume discrepancy from perturbed state
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!--------------------------------------------------------------------------------------------------
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! computing the global stress residual array from the perturbed state
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@ -427,7 +426,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3N = faceID(2:4) ! identify the grain ID in local coordinate system (3-dimensional index)
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iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
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intFaceN = getInterface(2*faceID(1),iGr3N) ! identify the interface ID of the grain
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normN = interfaceNormal(intFaceN,instance,of)
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normN = interfaceNormal(intFaceN,ce,me)
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!--------------------------------------------------------------------------------------------------
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! identify the right/up/front grain (+|P)
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@ -435,7 +434,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identify the grain ID in local coordinate system (3-dimensional index)
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iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index)
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intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identify the interface ID of the grain
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normP = interfaceNormal(intFaceP,instance,of)
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normP = interfaceNormal(intFaceP,ce,me)
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!--------------------------------------------------------------------------------------------------
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! compute the residual stress (contribution of mismatch and volume penalties) from perturbed state
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@ -475,11 +474,11 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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do i = 1,3*nIntFaceTot;do j = 1,3*nIntFaceTot
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drelax(i) = drelax(i) - jnverse(i,j)*resid(j) ! Calculate the correction for the state variable
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enddo; enddo
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stt%relaxationVector(:,of) = relax + drelax ! Updateing the state variable for the next iteration
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stt%relaxationVector(:,me) = relax + drelax ! Updateing the state variable for the next iteration
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if (any(abs(drelax) > num%maxdRelax)) then ! Forcing cutback when the incremental change of relaxation vector becomes too large
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doneAndHappy = [.true.,.false.]
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!$OMP CRITICAL (write2out)
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print'(a,i3,a,i3,a)',' RGC_updateState: ip ',ip,' | el ',el,' enforces cutback'
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! print'(a,i3,a,i3,a)',' RGC_updateState: ip ',ip,' | el ',el,' enforces cutback'
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print'(a,e15.8)',' due to large relaxation change = ',maxval(abs(drelax))
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flush(IO_STDOUT)
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!$OMP END CRITICAL (write2out)
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@ -491,14 +490,14 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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!------------------------------------------------------------------------------------------------
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!> @brief calculate stress-like penalty due to deformation mismatch
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!------------------------------------------------------------------------------------------------
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subroutine stressPenalty(rPen,nMis,avgF,fDef,ip,el,instance,of)
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subroutine stressPenalty(rPen,nMis,avgF,fDef,ce,me)
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real(pReal), dimension (:,:,:), intent(out) :: rPen !< stress-like penalty
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real(pReal), dimension (:,:), intent(out) :: nMis !< total amount of mismatch
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real(pReal), dimension (:,:,:), intent(in) :: fDef !< deformation gradients
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real(pReal), dimension (3,3), intent(in) :: avgF !< initial effective stretch tensor
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integer, intent(in) :: ip,el,instance,of
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integer, intent(in) :: ce, me
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integer, dimension (4) :: intFace
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integer, dimension (3) :: iGrain3,iGNghb3,nGDim
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@ -518,27 +517,27 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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! get the correction factor the modulus of penalty stress representing the evolution of area of
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! the interfaces due to deformations
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surfCorr = surfaceCorrection(avgF,instance,of)
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surfCorr = surfaceCorrection(avgF,ce,me)
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associate(prm => param(instance))
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associate(prm => param(homogenization_typeInstance(material_homogenizationAt2(ce))))
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!-----------------------------------------------------------------------------------------------
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! computing the mismatch and penalty stress tensor of all grains
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grainLoop: do iGrain = 1,product(prm%N_constituents)
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muGrain = equivalentMu(iGrain,ip,el)
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muGrain = equivalentMu(iGrain,ce)
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iGrain3 = grain1to3(iGrain,prm%N_constituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position
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interfaceLoop: do iFace = 1,6
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intFace = getInterface(iFace,iGrain3) ! get the 4-dimensional index of the interface in local numbering system of the grain
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nVect = interfaceNormal(intFace,instance,of)
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nVect = interfaceNormal(intFace,ce,me)
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iGNghb3 = iGrain3 ! identify the neighboring grain across the interface
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iGNghb3(abs(intFace(1))) = iGNghb3(abs(intFace(1))) &
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+ int(real(intFace(1),pReal)/real(abs(intFace(1)),pReal))
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where(iGNghb3 < 1) iGNghb3 = nGDim
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where(iGNghb3 >nGDim) iGNghb3 = 1
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iGNghb = grain3to1(iGNghb3,prm%N_constituents) ! get the ID of the neighboring grain
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muGNghb = equivalentMu(iGNghb,ip,el)
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muGNghb = equivalentMu(iGNghb,ce)
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gDef = 0.5_pReal*(fDef(1:3,1:3,iGNghb) - fDef(1:3,1:3,iGrain)) ! difference/jump in deformation gradeint across the neighbor
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!-------------------------------------------------------------------------------------------
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@ -577,7 +576,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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!------------------------------------------------------------------------------------------------
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!> @brief calculate stress-like penalty due to volume discrepancy
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!------------------------------------------------------------------------------------------------
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subroutine volumePenalty(vPen,vDiscrep,fAvg,fDef,nGrain,instance,of)
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subroutine volumePenalty(vPen,vDiscrep,fAvg,fDef,nGrain,ce,me)
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real(pReal), dimension (:,:,:), intent(out) :: vPen ! stress-like penalty due to volume
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real(pReal), intent(out) :: vDiscrep ! total volume discrepancy
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@ -586,8 +585,8 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
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real(pReal), dimension (3,3), intent(in) :: fAvg ! overall deformation gradient
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integer, intent(in) :: &
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Ngrain, &
|
||||
instance, &
|
||||
of
|
||||
ce, &
|
||||
me
|
||||
|
||||
real(pReal), dimension(size(vPen,3)) :: gVol
|
||||
integer :: i
|
||||
|
@ -617,14 +616,14 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
|
|||
!> @brief compute the correction factor accouted for surface evolution (area change) due to
|
||||
! deformation
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
function surfaceCorrection(avgF,instance,of)
|
||||
function surfaceCorrection(avgF,ce,me)
|
||||
|
||||
real(pReal), dimension(3) :: surfaceCorrection
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: avgF !< average F
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
ce, &
|
||||
me
|
||||
real(pReal), dimension(3,3) :: invC
|
||||
real(pReal), dimension(3) :: nVect
|
||||
real(pReal) :: detF
|
||||
|
@ -635,7 +634,7 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
|
|||
|
||||
surfaceCorrection = 0.0_pReal
|
||||
do iBase = 1,3
|
||||
nVect = interfaceNormal([iBase,1,1,1],instance,of)
|
||||
nVect = interfaceNormal([iBase,1,1,1],ce,me)
|
||||
do i = 1,3; do j = 1,3
|
||||
surfaceCorrection(iBase) = surfaceCorrection(iBase) + invC(i,j)*nVect(i)*nVect(j) ! compute the component of (the inverse of) the stretch in the direction of the normal
|
||||
enddo; enddo
|
||||
|
@ -648,17 +647,16 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
|
|||
!-------------------------------------------------------------------------------------------------
|
||||
!> @brief compute the equivalent shear and bulk moduli from the elasticity tensor
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
real(pReal) function equivalentMu(grainID,ip,el)
|
||||
real(pReal) function equivalentMu(grainID,ce)
|
||||
|
||||
integer, intent(in) :: &
|
||||
grainID,&
|
||||
ip, & !< integration point number
|
||||
el !< element number
|
||||
ce !< cell
|
||||
|
||||
real(pReal), dimension(6,6) :: C
|
||||
|
||||
|
||||
C = phase_homogenizedC(material_phaseAt(grainID,el),material_phaseMemberAt(grainID,ip,el))
|
||||
C = phase_homogenizedC(material_phaseAt2(grainID,ce),material_phaseMemberAt2(grainID,ce))
|
||||
equivalentMu = lattice_equivalent_mu(C,'voigt')
|
||||
|
||||
end function equivalentMu
|
||||
|
@ -668,14 +666,14 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
|
|||
!> @brief calculating the grain deformation gradient (the same with
|
||||
! homogenization_RGC_partitionDeformation, but used only for perturbation scheme)
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
subroutine grainDeformation(F, avgF, instance, of)
|
||||
subroutine grainDeformation(F, avgF, ce, me)
|
||||
|
||||
real(pReal), dimension(:,:,:), intent(out) :: F !< partitioned F per grain
|
||||
|
||||
real(pReal), dimension(:,:), intent(in) :: avgF !< averaged F
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
ce, &
|
||||
me
|
||||
|
||||
real(pReal), dimension(3) :: aVect,nVect
|
||||
integer, dimension(4) :: intFace
|
||||
|
@ -685,15 +683,15 @@ module function mechanical_RGC_updateState(P,F,avgF,dt,dPdF,ip,el) result(doneAn
|
|||
!-----------------------------------------------------------------------------------------------
|
||||
! compute the deformation gradient of individual grains due to relaxations
|
||||
|
||||
associate(prm => param(instance))
|
||||
associate (prm => param(homogenization_typeInstance(material_homogenizationAt2(ce))))
|
||||
|
||||
F = 0.0_pReal
|
||||
do iGrain = 1,product(prm%N_constituents)
|
||||
iGrain3 = grain1to3(iGrain,prm%N_constituents)
|
||||
do iFace = 1,6
|
||||
intFace = getInterface(iFace,iGrain3)
|
||||
aVect = relaxationVector(intFace,instance,of)
|
||||
nVect = interfaceNormal(intFace,instance,of)
|
||||
aVect = relaxationVector(intFace,ce,me)
|
||||
nVect = interfaceNormal(intFace,ce,me)
|
||||
forall (i=1:3,j=1:3) &
|
||||
F(i,j,iGrain) = F(i,j,iGrain) + aVect(i)*nVect(j) ! effective relaxations
|
||||
enddo
|
||||
|
|
Loading…
Reference in New Issue