phd-scripts/Unpublished/XFEM2/XFEM/2D_XCorS.f

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FortranFixed
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2024-05-13 19:50:21 +00:00
c 2D XFEM Corrosion Element
subroutine uel(rhs,amatrx,svars,energy,ndofel,nrhs,nsvars,props,
1 nprops,coords,mcrd,nnode,u,du,v,a,jtype,time,dtime,kstep,kinc,
2 jelem,params,ndload,jdltyp,adlmag,predef,npredf,lflags,
3 mlvarx,ddlmag,mdload,pnewdt,jprops,njprop,period)
c
include 'aba_param.inc'
c
dimension rhs(mlvarx,*),amatrx(ndofel,ndofel),svars(nsvars),
1 energy(8),props(*),coords(mcrd,nnode),
2 u(ndofel),du(mlvarx,*),v(ndofel),a(ndofel),time(2),
3 params(3),jdltyp(mdload,*),adlmag(mdload,*),
4 ddlmag(mdload,*),predef(2,npredf,nnode),lflags(*),jprops(*)
c
dimension phig(8),phih(8),phi(8),phix(8),phiy(8)
dimension crdnx(4),crdny(4),dndg(4),dndh(4)
dimension theta(4),rjac(2,2),rjaci(2,2)
dimension gx(100,4),hx(100,4),xi(2),yi(2),gi(2),hi(2)
dimension c(2),gp(2,8),gm2(8,8)
c
parameter(zero=0.d0,one=1.d0)
c material property definition
thick = 1.
rho = 1.
beta=0.
dpos=0.6
c initialization (nrhs=1)
do k1=1,ndofel
rhs(k1,nrhs)=zero
do k2=1,ndofel
amatrx(k2,k1)=zero
enddo
enddo
if (lflags(1).eq.33) then
do icrd=1,4
crdnx(icrd)=coords(1,icrd)
crdny(icrd)=coords(2,icrd)
theta(icrd)=abs(crdnx(icrd)-dpos)*
1 sign(1.,crdnx(icrd)-dpos)
enddo
c if (sign(1.,theta(1))/=sign(1.,theta(2)))then
if (2==1)then
c possible enriched element
npart=10
rpart=float(npart)
ienr=npart*npart
do isdx=1,npart
do isdy=1,npart
rmidx=-1.-1./rpart+(2./rpart)*float(isdx)
rmidy=-1.-1./rpart+(2./rpart)*float(isdy)
isubindex=npart*(isdy-1)+isdx
gpos=1./(sqrt(3.)*rpart)
gx(isubindex,1)=rmidx-gpos
gx(isubindex,2)=rmidx+gpos
gx(isubindex,3)=rmidx+gpos
gx(isubindex,4)=rmidx-gpos
hx(isubindex,1)=rmidy-gpos
hx(isubindex,2)=rmidy-gpos
hx(isubindex,3)=rmidy+gpos
hx(isubindex,4)=rmidy+gpos
enddo
enddo
c check if int points are on different sides of front
icheck=0
do i=1,ienr
do j=1,4
g=gx(i,j)
h=hx(i,j)
phi(1)=0.25*(1.-g)*(1.-h)
phi(3)=0.25*(1.+g)*(1.-h)
phi(5)=0.25*(1.+g)*(1.+h)
phi(7)=0.25*(1.-g)*(1.+h)
rLS=theta(1)*phi(1)+theta(2)*phi(3)
1 +theta(3)*phi(5)+theta(4)*phi(7)
if (i==1 .and. j==1)then
sgn=sign(1.,rLS)
else
if (sign(1.,rLS)/=sgn)then
icheck=1
endif
endif
enddo
enddo
if (check==0)then
c regular element - fix extra dofs
ienr=1
gpos=1/sqrt(3.)
gx(1,1)=-gpos
gx(1,2)=gpos
gx(1,3)=gpos
gx(1,4)=-gpos
hx(1,1)=-gpos
hx(1,2)=-gpos
hx(1,3)=gpos
hx(1,4)=gpos
endif
else
c Normal Shp Funs
ienr=1
gpos=1/sqrt(3.)
gx(1,1)=-gpos
gx(1,2)=gpos
gx(1,3)=gpos
gx(1,4)=-gpos
hx(1,1)=-gpos
hx(1,2)=-gpos
hx(1,3)=gpos
hx(1,4)=gpos
endif
c assemble amatrx and rhs
do i=1,ienr
do j=1,4
g=gx(i,j)
h=hx(i,j)
phi(1)=0.25*(1.-g)*(1.-h)
phi(3)=0.25*(1.+g)*(1.-h)
phi(5)=0.25*(1.+g)*(1.+h)
phi(7)=0.25*(1.-g)*(1.+h)
rLS=theta(1)*phi(1)+theta(2)*phi(3)
1 +theta(3)*phi(5)+theta(4)*phi(7)
cond=1.
spec=1.
do iter=1,4
phi(2*iter)=phi(2*iter-1)*
1 (abs(rLS)-abs(theta(iter)))
enddo
phig(1)=0.25*-(1.-h)
phig(3)=0.25*(1.-h)
phig(5)=0.25*(1.+h)
phig(7)=0.25*-(1.+h)
phih(1)=0.25*-(1.-g)
phih(3)=0.25*-(1.+g)
phih(5)=0.25*(1.+g)
phih(7)=0.25*(1.-g)
diLSg=sign(1.,rLS)*(phig(1)*theta(1)+phig(3)*
1 theta(2)+phig(5)*theta(3)+phig(7)*theta(4))
diLSh=sign(1.,rLS)*(phih(1)*theta(1)+phih(3)*
1 theta(2)+phih(5)*theta(3)+phih(7)*theta(4))
do iter=1,4
phig(2*iter)=phig(2*iter-1)*(abs(rLS)-
1 abs(theta(iter)))+phi(2*iter-1)*diLSg
phih(2*iter)=phih(2*iter-1)*(abs(rLS)-
1 abs(theta(iter)))+phi(2*iter-1)*diLSh
enddo
rjac=zero
do iter=1,4
rjac(1,1)=rjac(1,1)+phig(2*iter-1)*crdnx(iter)
rjac(1,2)=rjac(1,2)+phig(2*iter-1)*crdny(iter)
rjac(2,1)=rjac(2,1)+phih(2*iter-1)*crdnx(iter)
rjac(2,2)=rjac(2,2)+phih(2*iter-1)*crdny(iter)
enddo
djac=rjac(1,1)*rjac(2,2)-rjac(1,2)*rjac(2,1)
rjaci(1,1)= rjac(2,2)/djac
rjaci(2,2)= rjac(1,1)/djac
rjaci(1,2)=-rjac(1,2)/djac
rjaci(2,1)=-rjac(2,1)/djac
do iter=1,8
phix(iter)=rjaci(1,1)*phig(iter)+
1 rjaci(1,2)*phih(iter)
phiy(iter)=rjaci(2,1)*phig(iter)+
1 rjaci(2,2)*phih(iter)
enddo
dtdx=zero
dtdy=zero
t =zero
told=zero
do iter=1,8
dtdx=u(iter)*phix(iter)+dtdx
dtdy=u(iter)*phiy(iter)+dtdy
t=u(iter)*phi(iter)+t
told=(u(iter)-du(iter,nrhs))*phi(iter)+told
end do
dtdt=(t-told)/dtime
we=djac
do ki=1,8
c loop over nodes
rhs(ki,nrhs) = rhs(ki,nrhs) -
1 (we/float(ienr))*(phi(ki)*rho*spec*dtdt+
2 cond*(phix(ki)*dtdx + phiy(ki)*dtdy))
do kj=1,8
amatrx(ki,kj)=amatrx(ki,kj)+(we/float(ienr))
1 *(phi(ki)*phi(kj)*rho*spec/dtime+cond
2 *(phix(ki)*phix(kj)+phiy(ki)*phiy(kj)))
end do
end do
enddo
enddo
c if interface is in the element a penalty term is needed
if(ienr>1)then
icount=0
if (sign(1.,theta(1))/=sign(1.,theta(2)))then
icount=icount+1
f=abs(theta(1))/(abs(theta(1))+abs(theta(2)))
xi(icount)=f*(crdnx(2)-crdnx(1))+crdnx(1)
yi(icount)=f*(crdny(2)-crdny(1))+crdny(1)
gi(icount)=(2.*xi(icount)-(crdnx(1)+crdnx(2)))
1 /(-crdnx(1)+crdnx(2))
hi(icount)=-1.
endif
if (sign(1.,theta(2))/=sign(1.,theta(3)))then
icount=icount+1
f=abs(theta(2))/(abs(theta(2))+abs(theta(3)))
xi(icount)=f*(crdnx(3)-crdnx(2))+crdnx(2)
yi(icount)=f*(crdny(3)-crdny(2))+crdny(2)
gi(icount)=1.
hi(icount)=(2.*yi(icount)-(crdny(2)+crdny(3)))
1 /(-crdny(2)+crdny(3))
endif
if (sign(1.,theta(3))/=sign(1.,theta(4)))then
icount=icount+1
f=abs(theta(3))/(abs(theta(3))+abs(theta(4)))
xi(icount)=f*(crdnx(4)-crdnx(3))+crdnx(3)
yi(icount)=f*(crdny(4)-crdny(3))+crdny(3)
gi(icount)=(2.*xi(icount)-(crdnx(4)+crdnx(3)))
1 /(-crdnx(4)+crdnx(3))
hi(icount)=1.
endif
if (sign(1.,theta(1))/=sign(1.,theta(4)))then
icount=icount+1
f=abs(theta(1))/(abs(theta(1))+abs(theta(4)))
xi(icount)=f*(crdnx(4)-crdnx(1))+crdnx(1)
yi(icount)=f*(crdny(4)-crdny(1))+crdny(1)
gi(icount)=-1.
hi(icount)=(2.*yi(icount)-(crdny(1)+crdny(4)))
1 /(-crdny(4)+crdny(1))
endif
c(1)=1.
c(2)=1.
do iter=1,2
Gp(iter,1)=0.25*(1.-gi(iter))*(1.-hi(iter))
Gp(iter,3)=0.25*(1.+gi(iter))*(1.-hi(iter))
Gp(iter,5)=0.25*(1.+gi(iter))*(1.+hi(iter))
Gp(iter,7)=0.25*(1.-gi(iter))*(1.+hi(iter))
Gp(iter,2)=-Gp(iter,1)*abs(theta(1))
Gp(iter,4)=-Gp(iter,3)*abs(theta(2))
Gp(iter,6)=-Gp(iter,5)*abs(theta(3))
Gp(iter,8)=-Gp(iter,7)*abs(theta(4))
enddo
do i=1,8
rhs(i,nrhs)=rhs(i,nrhs)+
1 beta*(Gp(1,i)*c(1)+Gp(2,i)*c(2))
enddo
c find GtG
gm2=0.
do i=1,8
do j=1,8
gm2(i,j)=gp(1,i)*gp(1,j)+gp(2,i)*gp(2,j)
enddo
enddo
c add penalty stiffness
do i=1,8
do j=1,8
amatrx(i,j)=amatrx(i,j)+beta*gm2(i,j)
enddo
enddo
endif
end if
return
end