237 lines
7.7 KiB
Text
237 lines
7.7 KiB
Text
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c***********************************************************
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subroutine uelmat(rhs,amatrx,svars,energy,ndofel,nrhs,
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1 nsvars,props,nprops,coords,mcrd,nnode,u,du,
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2 v,a,jtype,time,dtime,kstep,kinc,jelem,params,
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3 ndload,jdltyp,adlmag,predef,npredf,lflags,mlvarx,
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4 ddlmag,mdload,pnewdt,jprops,njpro,period,
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5 materiallib)
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c
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include 'aba_param.inc'
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C
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dimension rhs(mlvarx,*), amatrx(ndofel, ndofel), props(*),
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1 svars(*), energy(*), coords(mcrd, nnode), u(ndofel),
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2 du(mlvarx,*), v(ndofel), a(ndofel), time(2), params(*),
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3 jdltyp(mdload,*), adlmag(mdload,*), ddlmag(mdload,*),
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4 predef(2, npredf, nnode), lflags(*), jprops(*)
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parameter (zero=0.d0, dmone=-1.0d0, one=1.d0, four=4.0d0,
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1 fourth=0.25d0,gaussCoord=0.577350269d0)
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parameter (ndim=2, ndof=2, nshr=1,nnodemax=4,
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1 ntens=4, ninpt=4, nsvint=4)
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c
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dimension stiff(ndof*nnodemax,ndof*nnodemax),
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1 force(ndof*nnodemax), shape(nnodemax), dshape(ndim,nnodemax),
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2 xjac(ndim,ndim),xjaci(ndim,ndim), bmat(nnodemax*ndim),
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3 statevLocal(nsvint),stress(ntens), ddsdde(ntens, ntens),
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4 stran(ntens), dstran(ntens), wght(ninpt)
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c
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dimension predef_loc(npredf),dpredef_loc(npredf),
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1 defGrad(3,3),utmp(3),xdu(3),stiff_p(3,3),force_p(3)
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dimension coord24(2,4),coords_ip(3)
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data coord24 /dmone, dmone,
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2 one, dmone,
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3 one, one,
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4 dmone, one/
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c
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data wght /one, one, one, one/
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c*************************************************************
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c U1 = first-order, plane strain, full integration
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c*************************************************************
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c define mass matrix as identity at start of analysis
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if (lflags(3).eq.4) then
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amatrx = zero
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do i=1, ndofel
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amatrx(i,i) = one
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end do
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goto 999
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end if
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c properties
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thickness = 0.1d0
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c initialize rhs and k
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rhs = zero
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amatrx = zero
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c loop over integration points
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do kintk = 1, ninpt
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c determine gauss point in local sys (g,h)
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c takes form: [4 3]
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c [1 2]
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g = coord24(1,kintk)*gaussCoord
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h = coord24(2,kintk)*gaussCoord
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c shape functions
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shape(1) = (one - g)*(one - h)/four
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shape(2) = (one + g)*(one - h)/four
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shape(3) = (one + g)*(one + h)/four
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shape(4) = (one - g)*(one + h)/four
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c derivative d(Ni)/d(g)
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dshape(1,1) = -(one - h)/four
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dshape(1,2) = (one - h)/four
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dshape(1,3) = (one + h)/four
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dshape(1,4) = -(one + h)/four
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c derivative d(Ni)/d(h)
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dshape(2,1) = -(one - g)/four
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dshape(2,2) = -(one + g)/four
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dshape(2,3) = (one + g)/four
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dshape(2,4) = (one - g)/four
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c compute global coordinates of the ip
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coords_ip = zero
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do k1=1,nnode
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do k2=1,mcrd
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coords_ip(k2)=coords_ip(k2)+shape(k1)*coords(k2,k1)
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end do
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end do
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c form b-matrix
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djac = one
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xjac = zero
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xjaci = zero
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c Get Jacobian
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do inod= 1, nnode
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do idim = 1, ndim
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do jdim = 1, ndim
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xjac(jdim,idim) = xjac(jdim,idim) +
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1 dshape(jdim,inod)*coords(idim,inod)
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end do
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end do
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end do
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c Get Det of Jacobian
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djac = xjac(1,1)*xjac(2,2) - xjac(1,2)*xjac(2,1)
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if (djac .gt. zero) then
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! jacobian is positive - invert it
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xjaci(1,1) = xjac(2,2)/djac
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xjaci(2,2) = xjac(1,1)/djac
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xjaci(1,2) = -xjac(1,2)/djac
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xjaci(2,1) = -xjac(2,1)/djac
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else
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! negative or zero jacobian - reduce time inc.
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write(7,*)'WARNING: element',jelem,'has neg. Jacobian'
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pnewdt = fourth
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endif
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if (pnewdt .lt. pnewdtLocal) pnewdtLocal = pnewdt
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c Build B matrix
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bmat = zero
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do inod = 1, nnode
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do ider = 1, ndim
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do idim = 1, ndim
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irow = idim + (inod - 1)*ndim
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bmat(irow) = bmat(irow) +
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1 xjaci(idim,ider)*dshape(ider,inod)
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end do
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end do
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end do
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c get strain inc
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dstran(i) = zero
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c set deformation gradient to Identity matrix
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defGrad = zero
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do k1=1,3
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defGrad(k1,k1) = one
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end do
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c compute incremental strains
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do nodi = 1, nnode
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incr_row = (nodi - 1)*ndof
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do i = 1, ndof
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xdu(i)= du(i + incr_row,1)
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utmp(i) = u(i + incr_row)
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end do
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dNidx = bmat(1+(nodi-1)*ndim)
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dNidy = bmat(2+(nodi-1)*ndim)
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dstran(1) = dstran(1)+dNidx*xdu(1)
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dstran(2) = dstran(2)+dNidy*xdu(2)
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dstran(4) = dstran(4)+dNidy*xdu(1)+dNidx*xdu(2)
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c deformation gradient (prob not required for umat)
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defGrad(1,1) = defGrad(1,1) + dNidx*utmp(1)
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defGrad(1,2) = defGrad(1,2) + dNidy*utmp(1)
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defGrad(2,1) = defGrad(2,1) + dNidx*utmp(2)
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defGrad(2,2) = defGrad(2,2) + dNidy*utmp(2)
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end do
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c call constitutive routine
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isvinc= (kintk-1)*nsvint
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c prepare arrays for entry into material routines
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do i = 1, nsvint
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statevLocal(i)=svars(i+isvinc)
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end do
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c state variables
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do k1=1,ntens
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stran(k1) = statevLocal(k1)
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stress(k1) = zero
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end do
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do i=1, ntens
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do j=1, ntens
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ddsdde(i,j) = zero
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end do
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ddsdde(i,j) = one
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enddo
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c compute characteristic element length
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celent = sqrt(djac*dble(ninpt))
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dvmat = djac*thickness
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c
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dvdv0 = one
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call material_lib_mech(materiallib,stress,ddsdde,
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1 stran,dstran,kintk,dvdv0,dvmat,defGrad,
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2 predef_loc,dpredef_loc,npredf,celent,coords_ip)
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c
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do k1=1,ntens
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statevLocal(k1) = stran(k1) + dstran(k1)
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end do
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isvinc= (kintk-1)*nsvint
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c update element state variables
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do i = 1, nsvint
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svars(i+isvinc)=statevLocal(i)
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end do
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c form stiffness matrix and internal force vector
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dNjdx = zero
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dNjdy = zero
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force = zero
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stiff = zero
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dvol= wght(kintk)*djac
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do nodj = 1, nnode
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incr_col = (nodj - 1)*ndof
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dNjdx = bmat(1+(nodj-1)*ndim)
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dNjdy = bmat(2+(nodj-1)*ndim)
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force_p(1) = dNjdx*stress(1) + dNjdy*stress(4)
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force_p(2) = dNjdy*stress(2) + dNjdx*stress(4)
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do jdof = 1, ndof
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jcol = jdof + incr_col
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force(jcol) = force(jcol)+force_p(jdof)*dvol
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end do
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do nodi = 1, nnode
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incr_row = (nodi -1)*ndof
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dNidx = bmat(1+(nodi-1)*ndim)
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dNidy = bmat(2+(nodi-1)*ndim)
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stiff_p(1,1) = dNidx*ddsdde(1,1)*dNjdx
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& + dNidy*ddsdde(4,4)*dNjdy
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& + dNidx*ddsdde(1,4)*dNjdy
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& + dNidy*ddsdde(4,1)*dNjdx
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stiff_p(1,2) = dNidx*ddsdde(1,2)*dNjdy
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& + dNidy*ddsdde(4,4)*dNjdx
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& + dNidx*ddsdde(1,4)*dNjdx
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& + dNidy*ddsdde(4,2)*dNjdy
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stiff_p(2,1) = dNidy*ddsdde(2,1)*dNjdx
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& + dNidx*ddsdde(4,4)*dNjdy
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& + dNidy*ddsdde(2,4)*dNjdy
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& + dNidx*ddsdde(4,1)*dNjdx
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stiff_p(2,2) = dNidy*ddsdde(2,2)*dNjdy
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& + dNidx*ddsdde(4,4)*dNjdx
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& + dNidy*ddsdde(2,4)*dNjdx
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& + dNidx*ddsdde(4,2)*dNjdy
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do jdof = 1, ndof
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icol = jdof + incr_col
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do idof = 1, ndof
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irow = idof + incr_row
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stiff(irow,icol) = stiff(irow,icol) +
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& stiff_p(idof,jdof)*dvol
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end do
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end do
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end do
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end do
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c assemble rhs and lhs
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do k1=1, ndof*nnode
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rhs(k1, 1) = rhs(k1, 1) - force(k1)
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do k2=1, ndof*nnode
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amatrx(k1, k2) = amatrx(k1, k2) + stiff(k1,k2)
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end do
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end do
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end do ! end loop on material integration points
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pnewdt = pnewdtLocal
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c
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999 continue
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c
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return
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end
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