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fl_rheol.f90
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fl_rheol.f90
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! Rheology (Update stresses depending on rheology)
! Calculate total finite strain and plastic strain
subroutine fl_rheol
use arrays
include 'precision.inc'
include 'params.inc'
include 'arrays.inc'
dimension depl(4)
dimension s11p(4),s22p(4),s12p(4),s33p(4),s11v(4),s22v(4),s12v(4),s33v(4)
logical rh_sel
pi = 3.1415926
!if( mod(nloop,10).eq.0 .OR. ireset.eq.1 ) then
! rh_sel = .true.
!else
! rh_sel = .false.
!endif
rh_sel = .true.
!XXX: irh==11, or irh>=11?
irh=irheol(mphase)
if(irh.ge.11) call init_visc
!if(iynts.eq.1) call init_temp
! Initial stress boundary condition
! Accretional Stresses
if (ny_inject.gt.0) then
sarc1 = 0.
sarc2 = 0.
if (ny_inject.eq.1) iinj = 1
if (ny_inject.eq.2) iinj = (nx-1)/2
dxinj = 0.
do jinj = 1,nelem_inject
dxinj=dxinj+cord(jinj,iinj+1,1)-cord(jinj,iinj,1)
enddo
dxinj = dxinj/nelem_inject
endif
irh_mark = 0
! max. deviatoric strain and area change of current time step
curr_devmax = devmax
curr_dvmax = dvmax
!$OMP Parallel Private(i,j,k,iph,irh,bulkm,rmu,coh,phi,psi, &
!$OMP stherm,hardn,vis, &
!$OMP de11,de22,de12,de33,dv, &
!$OMP s11p,s22p,s12p,s33p, &
!$OMP s11v,s22v,s12v,s33v, &
!$OMP depl,ipls,diss, &
!$OMP sII_plas,sII_visc, &
!$OMP quad_area,s0a,s0b,s0) &
!$OMP firstprivate(irh_mark)
!$OMP do schedule(guided) reduction(max: curr_devmax, curr_dvmax)
do 3 i = 1,nx-1 !nx-1 = 120 element number on x direction
do 3 j = 1,nz-1 !nz-1 = 40 element number on z direction
! iphase (j,i) is number of a phase NOT a rheology
!print *, 'nx-1 =', nx-1
!print *, 'nz-1 =', nz-1
iph = iphase(j,i)
irh = irheol(iph)
zcord_ave = 0.25 * (cord(j,i,2) + cord(j+1,i,2) + cord(j,i+1,2) + cord(j+1,i+1,2))
temp_ave = 0.25 * (temp(j,i) + temp(j+1,i) + temp(j,i+1) + temp(j+1,i+1))
! if (it.eq.1) then
! if (temp_ave.le.600) then
! rate_inject = rate_inject_brittle
! elseif (temp_ave.gt.600) then
! rate_inject = rate_inject_ductile
! endif
! endif
!if (it.eq.2) then
if (time.le.0.4*1e6*3.1536e7) then
rate_inject = rate_inject_brittle
else !if (time.gt.0.4*1e6*3.1536e7) then
rate_inject = rate_inject_brittle !rate_inject_ductile
! elseif ((temp_ave.gt.600).and.(time .lt. time_max*0.3)) then
! rate_inject = rate_inject_ductile
! elseif ((temp_ave.gt.600).and.(time .ge. time_max*0.3).and.(time .lt. time_max*0.6)) then
! rate_inject = rate_inject_ductile_e
! elseif ((temp_ave.gt.600).and.(time .ge. time_max*0.6).and.(time .lt. time_max)) then
! rate_inject = rate_inject_ductile_s
!rate_inject = (fa * SIN(2 * pi/fb * time) + fc) * (fsr) !sine function
!print*,'fsr=',fsr
!print*, 'rate =', rate_inject
!print*,'it=',it
endif
!endif
!print*, 'it =', it
if(ny_inject.gt.0.and.j.le.nelem_inject) then
!if (it.eq.2) then
poiss = 0.5*rl(iph)/(rl(iph)+rm(iph))
young = rm(iph)*2.*(1.+poiss)
sarc1 = -young/(1.-poiss*poiss)*rate_inject/dxinj*dt
sarc2 = sarc1*poiss/(1.-poiss)
endif
!endif
bulkm = rl(iph) + 2.*rm(iph)/3.
rmu = rm(iph)
! Thermal stresses (alfa_v = 3.e-5 1/K)
stherm = 0.
if (istress_therm.gt.0) stherm = -alfa(iph)*bulkm*(temp(j,i)-temp0(j,i))
! Preparation of plastic properties
!if (irh.eq.6 .or. irh.ge.11) call pre_plast(i,j,coh,phi,psi,hardn)
if (irh.eq.6 .or. irh.ge.11) call pre_plast(i,j,coh,phi,psi,hardn)
! Re-evaluate viscosity
if (irh.eq.7 .or. irh.eq.12) then
!if (irh.eq.7 .or. irh.eq.12) then
if( mod(nloop,ifreq_visc).eq.0 .OR. ireset.eq.1 ) visn(j,i) = Eff_visc(j,i)
! if (ny_inject.gt.0.and.i.eq.iinj) visn(j,i) = v_min
endif
vis = visn(j,i)
!print *,'6'
! Cycle by triangles
do k = 1,4
! Incremental strains
de11 = strainr(1,k,j,i)*dt
de22 = strainr(2,k,j,i)*dt
de12 = strainr(3,k,j,i)*dt
de33 = 0.
dv = dvol(j,i,k)
s11p(k) = stress0(j,i,1,k) + stherm
s22p(k) = stress0(j,i,2,k) + stherm
if(ny_inject.gt.0.and.j.le.nelem_inject) then
!XXX: iinj is un-init'd if ny_inject is not 1 or 2.
if(i.eq.iinj) then
s11p(k) = stress0(j,i,1,k) + sarc1
s22p(k) = stress0(j,i,2,k) + sarc2
!! irh = 1
endif
endif
!print *,'7'
s12p(k) = stress0(j,i,3,k)
s33p(k) = stress0(j,i,4,k) + stherm
s11v(k) = s11p(k)
s22v(k) = s22p(k)
s12v(k) = s12p(k)
s33v(k) = s33p(k)
!! if(abs(sarc11).gt.0.) write(*,*) i,j,sarc11,sarc22
if (irh.eq.1) then
!if (irh.eq.1) then
! elastic
call elastic(bulkm,rmu,s11p(k),s22p(k),s33p(k),s12p(k),de11,de22,de12)
irheol_fl(j,i) = 0
stress0(j,i,1,k) = s11p(k)
stress0(j,i,2,k) = s22p(k)
stress0(j,i,3,k) = s12p(k)
stress0(j,i,4,k) = s33p(k)
!print *,'8'
elseif (irh.eq.7) then
!elseif (irh.eq.7) then
! viscous
call maxwell(bulkm,rmu,vis,s11v(k),s22v(k),s33v(k),s12v(k),de11,de22,de33,de12,dv,&
ndim,dt,curr_devmax,curr_dvmax)
irheol_fl(j,i) = -1
stress0(j,i,1,k) = s11v(k)
stress0(j,i,2,k) = s22v(k)
stress0(j,i,3,k) = s12v(k)
stress0(j,i,4,k) = s33v(k)
elseif (irh.eq.6) then
!elseif (irh.eq.6) then
! plastic
call plastic(bulkm,rmu,coh,phi,psi,depl(k),ipls,diss,hardn,s11p(k),s22p(k),s33p(k),s12p(k),de11,de22,de33,de12,&
ten_off,ndim,irh_mark)
irheol_fl(j,i) = 1
stress0(j,i,1,k) = s11p(k)
stress0(j,i,2,k) = s22p(k)
stress0(j,i,3,k) = s12p(k)
stress0(j,i,4,k) = s33p(k)
!print *,'9'
elseif (irh.ge.11) then
!elseif (irh.ge.11) then
! Mixed rheology (Maxwell or plastic)
if( rh_sel ) then
depl(k) = 0.0
call plastic(bulkm,rmu,coh,phi,psi,depl(k),ipls,diss,hardn,&
s11p(k),s22p(k),s33p(k),s12p(k),de11,de22,de33,de12,&
ten_off,ndim,irh_mark)
call maxwell(bulkm,rmu,vis,s11v(k),s22v(k),s33v(k),s12v(k),&
de11,de22,de33,de12,dv,&
ndim,dt,curr_devmax,curr_dvmax)
else ! use previously defined rheology
if( irheol_fl(j,i) .eq. 1 ) then
call plastic(bulkm,rmu,coh,phi,psi,depl(k),ipls,diss,hardn,&
s11p(k),s22p(k),s33p(k),s12p(k),de11,de22,de33,de12,&
ten_off,ndim,irh_mark)
stress0(j,i,1,k) = s11p(k)
stress0(j,i,2,k) = s22p(k)
stress0(j,i,3,k) = s12p(k)
stress0(j,i,4,k) = s33p(k)
else ! irheol_fl(j,i) = -1
call maxwell(bulkm,rmu,vis,s11v(k),s22v(k),s33v(k),s12v(k),&
de11,de22,de33,de12,dv,&
ndim,dt,curr_devmax,curr_dvmax)
stress0(j,i,1,k) = s11v(k)
stress0(j,i,2,k) = s22v(k)
stress0(j,i,3,k) = s12v(k)
stress0(j,i,4,k) = s33v(k)
endif
endif
endif
enddo
!print *,'10'
if( irh.ge.11 .AND. rh_sel ) then
! deside - elasto-plastic or viscous deformation
sII_plas = (s11p(1)+s11p(2)+s11p(3)+s11p(4)-s22p(1)-s22p(2)-s22p(3)-s22p(4))**2 &
+ 4*(s12p(1)+s12p(2)+s12p(3)+s12p(4))**2
sII_visc = (s11v(1)+s11v(2)+s11v(3)+s11v(4)-s22v(1)-s22v(2)-s22v(3)-s22v(4))**2 &
+ 4*(s12v(1)+s12v(2)+s12v(3)+s12v(4))**2
if (sII_plas .lt. sII_visc) then
do k = 1, 4
stress0(j,i,1,k) = s11p(k)
stress0(j,i,2,k) = s22p(k)
stress0(j,i,3,k) = s12p(k)
stress0(j,i,4,k) = s33p(k)
end do
irheol_fl (j,i) = 1
else
do k = 1, 4
stress0(j,i,1,k) = s11v(k)
stress0(j,i,2,k) = s22v(k)
stress0(j,i,3,k) = s12v(k)
stress0(j,i,4,k) = s33v(k)
end do
irheol_fl (j,i) = -1
endif
endif
!print *,'11'
! Averaging of isotropic stresses for pair of elements
if (mix_stress .eq. 1 ) then
! For A and B couple:
! area(n,it) is INVERSE of "real" DOUBLE area (=1./det)
quad_area = 1./(area(j,i,1)+area(j,i,2))
s0a=0.5*(stress0(j,i,1,1)+stress0(j,i,2,1))
s0b=0.5*(stress0(j,i,1,2)+stress0(j,i,2,2))
s0=(s0a*area(j,i,2)+s0b*area(j,i,1))*quad_area
stress0(j,i,1,1) = stress0(j,i,1,1) - s0a + s0
stress0(j,i,2,1) = stress0(j,i,2,1) - s0a + s0
stress0(j,i,1,2) = stress0(j,i,1,2) - s0b + s0
stress0(j,i,2,2) = stress0(j,i,2,2) - s0b + s0
! For C and D couple:
quad_area = 1./(area(j,i,3)+area(j,i,4))
s0a=0.5*(stress0(j,i,1,3)+stress0(j,i,2,3))
s0b=0.5*(stress0(j,i,1,4)+stress0(j,i,2,4))
s0=(s0a*area(j,i,4)+s0b*area(j,i,3))*quad_area
stress0(j,i,1,3) = stress0(j,i,1,3) - s0a + s0
stress0(j,i,2,3) = stress0(j,i,2,3) - s0a + s0
stress0(j,i,1,4) = stress0(j,i,1,4) - s0b + s0
stress0(j,i,2,4) = stress0(j,i,2,4) - s0b + s0
!print *, 'stress0(2,44,1,3)=', stress0(2,44,1,3)
! sxx = 0.25 * (stress0(2,44,1,1)+stress0(2,44,1,2)+stress0(2,44,1,3)+stress0(2,44,1,4))
! syy = 0.25 * (stress0(2,44,2,1)+stress0(2,44,2,2)+stress0(2,44,2,3)+stress0(2,44,2,4))
! szz = 0.25 * (stress0(2,44,4,1)+stress0(2,44,4,2)+stress0(2,44,4,3)+stress0(2,44,4,4))
! !if((jj==2).and.(ii==44)) then
! open (unit = 1, file = "sxx.txt")
! write (1,*) "Here are the sxx ", sxx
! !close (1)
!
! open (unit = 2, file = "syy.txt")
! write (2,*) "Here are the syy ", syy
! !close (1)
!
! open (unit = 3, file = "szz.txt")
! write (3,*) "Here are the szz ", szz
!close (1)
!end if
! end do
! end do
endif
!print *,'12'
if (irh.eq.6 .or. irh.ge.11) then
! ACCUMULATED PLASTIC STRAIN
! Average the strain for pair of the triangles
! Note that area (n,it) is inverse of double area !!!!!
if (sII_plas .lt. sII_visc) then
dps = 0.5*( depl(1)*area(j,i,2)+depl(2)*area(j,i,1) ) / (area(j,i,1)+area(j,i,2)) &
+ 0.5*( depl(3)*area(j,i,4)+depl(4)*area(j,i,3) ) / (area(j,i,3)+area(j,i,4))
aps(j,i) = aps(j,i) + dps
if( aps(j,i) .lt. 0. ) aps(j,i) = 0.
endif
! write(*,*) depl(1),depl(2),depl(3),depl(4),area(j,i,1),area(j,i,2),area(j,i,3),area(j,i,4)
!print *,'13'
! LINEAR HEALING OF THE PLASTIC STRAIN
!if (tau_heal .ne. 0. .and. dps .le. 0.) then
! New healing by Eunseo Choi, Jul 2018
if (tau_heal .ne. 0. .and. aps(j,i) .gt. 0.) then
sr11 = 0.25 * (strainr(1,1,j,i)+strainr(1,2,j,i)+strainr(1,3,j,i)+strainr(1,4,j,i))
sr22 = 0.25 * (strainr(2,1,j,i)+strainr(2,2,j,i)+strainr(2,3,j,i)+strainr(2,4,j,i))
sr12 = 0.25 * (strainr(3,1,j,i)+strainr(3,2,j,i)+strainr(3,3,j,i)+strainr(3,4,j,i))
srJ2 = 0.5 * sqrt((sr11-sr22)**2 + 4*sr12*sr12)
daps = -aps(j,i)/tau_heal
if (srJ2 .ge. 1.e-13) then
daps = daps + srJ2
endif
aps(j,i) = aps(j,i) + dt * daps
if( aps(j,i) .lt. 0. ) aps(j,i) = 0.
endif
if (ny_inject.gt.0 .and. i.eq.iinj) aps (j,i) = 0.
!if (ny_inject.gt.0.and. (i.le.(iinj+1))) aps (j,i) = 0.
end if
! TOTAL FINITE STRAIN
strain(j,i,1) = strain(j,i,1) + 0.25*dt*(strainr(1,1,j,i)+strainr(1,2,j,i)+strainr(1,3,j,i)+strainr(1,4,j,i))
strain(j,i,2) = strain(j,i,2) + 0.25*dt*(strainr(2,1,j,i)+strainr(2,2,j,i)+strainr(2,3,j,i)+strainr(2,4,j,i))
strain(j,i,3) = strain(j,i,3) + 0.25*dt*(strainr(3,1,j,i)+strainr(3,2,j,i)+strainr(3,3,j,i)+strainr(3,4,j,i))
3 continue
!$OMP end do
!$OMP end parallel
devmax = max(devmax, curr_devmax)
dvmax = max(dvmax, curr_dvmax)
return
end