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!
! CalculiX - A 3-dimensional finite element program
! Copyright (C) 1998-2015 Guido Dhondt
!
! This program 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(version 2);
!
!
! This program 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 this program; if not, write to the Free Software
! Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
!
subroutine e_corio(co,nk,konl,lakonl,p1,p2,omx,bodyfx,nbody,s,sm,
& ff,nelem,elcon,nelcon,rhcon,nrhcon,alcon,nalcon,alzero,
& ielmat,ielorien,norien,orab,ntmat_,
& t0,t1,ithermal,vold,iperturb,nelemload,
& sideload,xload,nload,idist,sti,stx,iexpl,plicon,
& nplicon,plkcon,nplkcon,xstiff,npmat_,dtime,
& matname,mi,ncmat_,ttime,time,istep,iinc,nmethod,ielprop,prop)
!
! computation of the element matrix and rhs for the element with
! the topology in konl
!
! ff: rhs without temperature and eigenstress contribution
!
! nmethod=0: check for positive Jacobian
! nmethod=1: stiffness matrix + right hand side
! nmethod=2: stiffness matrix + mass matrix
! nmethod=3: static stiffness + buckling stiffness
! nmethod=4: stiffness matrix + mass matrix
!
implicit none
!
logical mass,stiffness,buckling,rhsi
!
character*8 lakonl
character*20 sideload(*)
character*80 matname(*),amat
!
integer konl(20),ifaceq(8,6),nelemload(2,*),nk,nbody,nelem,
& mi(*),mattyp,ithermal,iperturb(*),nload,idist,i,j,k,l,i1,i2,j1,
& nmethod,k1,l1,ii,jj,ii1,jj1,id,ipointer,ig,m1,m2,m3,m4,kk,
& nelcon(2,*),nrhcon(*),nalcon(2,*),ielmat(mi(3),*),
& ielorien(mi(3),*),null,ielprop(*),
& ntmat_,nope,nopes,norien,ihyper,iexpl,kode,imat,mint2d,
& mint3d,ifacet(7,4),nopev,iorien,istiff,ncmat_,
& ifacew(8,5),intscheme,n,ipointeri,ipointerj,istep,iinc,
& layer,kspt,jltyp,iflag,iperm(60),m,iscale,ne0,
& nplicon(0:ntmat_,*),nplkcon(0:ntmat_,*),npmat_
!
real*8 co(3,*),xl(3,20),shp(4,20),xs2(3,7),prop(*),
& s(60,60),w(3,3),p1(3),p2(3),bodyf(3),bodyfx(3),ff(60),
& bf(3),q(3),shpj(4,20),elcon(0:ncmat_,ntmat_,*),
& rhcon(0:1,ntmat_,*),xkl(3,3),eknlsign,reltime,
& alcon(0:6,ntmat_,*),alzero(*),orab(7,*),t0(*),t1(*),
& anisox(3,3,3,3),voldl(0:mi(2),20),vo(3,3),
& xl2(3,8),xsj2(3),shp2(7,8),vold(0:mi(2),*),xload(2,*),
& v(3,3,3,3),
& om,omx,e,un,al,um,xi,et,ze,tt,const,xsj,xsjj,sm(60,60),
& sti(6,mi(1),*),stx(6,mi(1),*),s11,s22,s33,s12,s13,s23,s11b,
& s22b,s33b,s12b,s13b,s23b,t0l,t1l,
& senergy,senergyb,rho,elas(21),
& sume,factorm,factore,alp,elconloc(21),eth(6),
& weight,coords(3),dmass,xl1(3,8),term
!
real*8 plicon(0:2*npmat_,ntmat_,*),plkcon(0:2*npmat_,ntmat_,*),
& xstiff(27,mi(1),*),plconloc(802),dtime,ttime,time,
& sax(60,60),ffax(60),gs(8,4),a
!
data iflag /3/
data iperm /13,14,-15,16,17,-18,19,20,-21,22,23,-24,
& 1,2,-3,4,5,-6,7,8,-9,10,11,-12,
& 37,38,-39,40,41,-42,43,44,-45,46,47,-48,
& 25,26,-27,28,29,-30,31,32,-33,34,35,-36,
& 49,50,-51,52,53,-54,55,56,-57,58,59,-60/
!
include "gauss.f"
!
null=0
!
imat=ielmat(1,nelem)
amat=matname(imat)
!
c Bernhardi start
if(lakonl(1:5).eq.'C3D8I') then
nope=11
elseif(lakonl(4:4).eq.'2') then
c Bernhardi end
nope=20
elseif(lakonl(4:4).eq.'8') then
nope=8
elseif(lakonl(4:5).eq.'10') then
nope=10
elseif(lakonl(4:4).eq.'4') then
nope=4
elseif(lakonl(4:5).eq.'15') then
nope=15
elseif(lakonl(4:4).eq.'6') then
nope=6
elseif(lakonl(1:2).eq.'ES') then
read(lakonl(8:8),'(i1)') nope
nope=nope+1
endif
!
if(lakonl(4:5).eq.'8R') then
mint3d=1
elseif(lakonl(4:7).eq.'20RB') then
if((lakonl(8:8).eq.'R').or.(lakonl(8:8).eq.'C')) then
mint3d=50
else
call beamintscheme(lakonl,mint3d,ielprop(nelem),prop,
& null,xi,et,ze,weight)
endif
elseif((lakonl(4:4).eq.'8').or.(lakonl(4:6).eq.'20R')) then
if((lakonl(7:7).eq.'A').or.(lakonl(7:7).eq.'S').or.
& (lakonl(7:7).eq.'E')) then
mint3d=4
else
mint3d=8
endif
elseif(lakonl(4:4).eq.'2') then
mint3d=27
elseif(lakonl(4:5).eq.'10') then
mint3d=4
elseif(lakonl(4:4).eq.'4') then
mint3d=1
elseif(lakonl(4:5).eq.'15') then
mint3d=9
elseif(lakonl(4:4).eq.'6') then
mint3d=2
else
mint3d=0
endif
!
! computation of the coordinates of the local nodes
!
do i=1,nope
do j=1,3
xl(j,i)=co(j,konl(i))
enddo
enddo
!
! initialisation of s
!
do i=1,3*nope
do j=1,3*nope
s(i,j)=0.d0
enddo
enddo
!
! computation of the matrix: loop over the Gauss points
!
do kk=1,mint3d
if(lakonl(4:5).eq.'8R') then
xi=gauss3d1(1,kk)
et=gauss3d1(2,kk)
ze=gauss3d1(3,kk)
weight=weight3d1(kk)
elseif(lakonl(4:7).eq.'20RB') then
if((lakonl(8:8).eq.'R').or.(lakonl(8:8).eq.'C')) then
xi=gauss3d13(1,kk)
et=gauss3d13(2,kk)
ze=gauss3d13(3,kk)
weight=weight3d13(kk)
else
call beamintscheme(lakonl,mint3d,ielprop(nelem),prop,
& kk,xi,et,ze,weight)
endif
elseif((lakonl(4:4).eq.'8').or.(lakonl(4:6).eq.'20R'))
& then
xi=gauss3d2(1,kk)
et=gauss3d2(2,kk)
ze=gauss3d2(3,kk)
weight=weight3d2(kk)
elseif(lakonl(4:4).eq.'2') then
xi=gauss3d3(1,kk)
et=gauss3d3(2,kk)
ze=gauss3d3(3,kk)
weight=weight3d3(kk)
elseif(lakonl(4:5).eq.'10') then
xi=gauss3d5(1,kk)
et=gauss3d5(2,kk)
ze=gauss3d5(3,kk)
weight=weight3d5(kk)
elseif(lakonl(4:4).eq.'4') then
xi=gauss3d4(1,kk)
et=gauss3d4(2,kk)
ze=gauss3d4(3,kk)
weight=weight3d4(kk)
elseif(lakonl(4:5).eq.'15') then
xi=gauss3d8(1,kk)
et=gauss3d8(2,kk)
ze=gauss3d8(3,kk)
weight=weight3d8(kk)
elseif(lakonl(4:4).eq.'6') then
xi=gauss3d7(1,kk)
et=gauss3d7(2,kk)
ze=gauss3d7(3,kk)
weight=weight3d7(kk)
endif
!
! calculation of the shape functions and their derivatives
! in the gauss point
!
c Bernhardi start
if(lakonl(1:5).eq.'C3D8R') then
call shape8hr(xl,xsj,shp,gs,a)
elseif(lakonl(1:5).eq.'C3D8I') then
call shape8hu(xi,et,ze,xl,xsj,shp,iflag)
else if(nope.eq.20) then
c Bernhardi end
if(lakonl(7:7).eq.'A') then
call shape20h_ax(xi,et,ze,xl,xsj,shp,iflag)
elseif((lakonl(7:7).eq.'E').or.(lakonl(7:7).eq.'S')) then
call shape20h_pl(xi,et,ze,xl,xsj,shp,iflag)
else
call shape20h(xi,et,ze,xl,xsj,shp,iflag)
endif
elseif(nope.eq.8) then
call shape8h(xi,et,ze,xl,xsj,shp,iflag)
elseif(nope.eq.10) then
call shape10tet(xi,et,ze,xl,xsj,shp,iflag)
elseif(nope.eq.4) then
call shape4tet(xi,et,ze,xl,xsj,shp,iflag)
elseif(nope.eq.15) then
call shape15w(xi,et,ze,xl,xsj,shp,iflag)
else
call shape6w(xi,et,ze,xl,xsj,shp,iflag)
endif
!
! check the jacobian determinant
!
if(xsj.lt.1.d-20) then
write(*,*) '*ERROR in e_c3d: nonpositive jacobian'
write(*,*) ' determinant in element',nelem
write(*,*)
xsj=dabs(xsj)
nmethod=0
endif
!
! material data and local stiffness matrix
!
istiff=1
call materialdata_me(elcon,nelcon,rhcon,nrhcon,alcon,nalcon,
& imat,amat,iorien,coords,orab,ntmat_,elas,rho,
& nelem,ithermal,alzero,mattyp,t0l,t1l,
& ihyper,istiff,elconloc,eth,kode,plicon,
& nplicon,plkcon,nplkcon,npmat_,
& plconloc,mi(1),dtime,nelem,kk,
& xstiff,ncmat_)
!
!
! initialisation for the body forces
!
om=2.d0*rho*dsqrt(omx)*weight
!
! incorporating the jacobian determinant in the shape
! functions
!
xsjj=dsqrt(xsj)
do i1=1,nope
shpj(1,i1)=shp(1,i1)*xsjj
shpj(2,i1)=shp(2,i1)*xsjj
shpj(3,i1)=shp(3,i1)*xsjj
shpj(4,i1)=shp(4,i1)*xsj
enddo
!
jj1=1
do jj=1,nope
!
ii1=1
do ii=1,jj
!
! Coriolis matrix
!
dmass=
& om*shpj(4,ii)*shp(4,jj)
s(ii1,jj1+1)=s(ii1,jj1+1)-p2(3)*dmass
s(ii1,jj1+2)=s(ii1,jj1+2)+p2(2)*dmass
s(ii1+1,jj1)=s(ii1+1,jj1)+p2(3)*dmass
s(ii1+1,jj1+2)=s(ii1+1,jj1+2)-p2(1)*dmass
s(ii1+2,jj1)=s(ii1+2,jj1)-p2(2)*dmass
s(ii1+2,jj1+1)=s(ii1+2,jj1+1)+p2(1)*dmass
!
ii1=ii1+3
enddo
jj1=jj1+3
enddo
enddo
!
! for axially symmetric and plane stress/strain elements:
! complete s and sm
!
if((lakonl(6:7).eq.'RA').or.(lakonl(6:7).eq.'RS').or.
& (lakonl(6:7).eq.'RE')) then
do i=1,60
do j=i,60
k=abs(iperm(i))
l=abs(iperm(j))
if(k.gt.l) then
m=k
k=l
l=m
endif
sax(i,j)=s(k,l)*iperm(i)*iperm(j)/(k*l)
enddo
enddo
do i=1,60
do j=i,60
s(i,j)=s(i,j)+sax(i,j)
enddo
enddo
!
endif
!
return
end
|
