108 lines
3 KiB
Text
108 lines
3 KiB
Text
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subroutine uel(rhs,amatrx,svars,energy,ndofel,nrhs,nsvars,props,
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1 nprops,coords,mcrd,nnode,u,du,v,a,jtype,time,dtime,kstep,kinc,
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2 jelem,params,ndload,jdltyp,adlmag,predef,npredf,lflags,
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3 mlvarx,ddlmag,mdload,pnewdt,jprops,njprop,period)
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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),svars(nsvars),
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1 energy(8),props(*),coords(mcrd,nnode),dndg(4),dndh(4),
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2 u(ndofel),du(mlvarx,*),v(ndofel),a(ndofel),time(2),
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3 params(3),jdltyp(mdload,*),adlmag(mdload,*),
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4 ddlmag(mdload,*),predef(2,npredf,nnode),lflags(*),jprops(*)
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c
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dimension gx(4),hx(4),gwei(4),dN(4),phix(8),phiy(8)
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c
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parameter(zero=0.d0,one=1.d0)
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C MATERIAL PROPERTY DEFINITION
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thick = 1.
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rho = 1.
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spec = 1.
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conduc = 1.
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C INITIALIZATION (NRHS=1)
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do k1=1,ndofel
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rhs(k1,nrhs)=zero
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do k2=1,ndofel
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amatrx(k2,k1)=zero
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enddo
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enddo
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if (lflags(1).eq.33) then
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gpos=1./sqrt(3.)
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gx(1)=-gpos
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gx(2)=gpos
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gx(3)=gpos
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gx(4)=-gpos
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hx(1)=-gpos
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hx(2)=-gpos
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hx(3)=gpos
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hx(4)=gpos
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do i=1,4
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gwei(i)=1.
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enddo
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c assemble amatrx and rhs
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do k=1,4
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c loop through gauss pts
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g=gx(k)
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h=hx(k)
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c shape functions
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dN(1) = (one - g)*(one - h)/4.
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dN(2) = (one + g)*(one - h)/4.
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dN(3) = (one + g)*(one + h)/4.
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dN(4) = (one - g)*(one + h)/4.
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c derivative d(Ni)/d(g)
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dNdg(1) = -(one - h)/4.
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dNdg(2) = (one - h)/4.
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dNdg(3) = (one + h)/4.
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dNdg(4) = -(one + h)/4.
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c derivative d(Ni)/d(h)
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dNdh(1) = -(one - g)/4.
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dNdh(2) = -(one + g)/4.
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dNdh(3) = (one + g)/4.
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dNdh(4) = (one - g)/4.
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c derivative dx/dg,dx/dh,dy/dg,dy/dh
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dxdg=zero
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dxdh=zero
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dydg=zero
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dydh=zero
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do i=1,4
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dxdg=dxdg+coords(1,i)*dNdg(i)
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dxdh=dxdh+coords(1,i)*dNdh(i)
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dydg=dydg+coords(2,i)*dNdg(i)
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dydh=dydh+coords(2,i)*dNdh(i)
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enddo
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c calculation of jacobian
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ajacob=(dxdg*dydh-dxdh*dydg)
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c derivative dn/dx,dn/dy
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do i=1,4
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phix(i)=(dNdg(i)*dydh-dNdh(i)*dydg)/ajacob
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phiy(i)=(dNdh(i)*dxdg-dNdg(i)*dxdh)/ajacob
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enddo
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dtdx=zero
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dtdy=zero
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t =zero
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told=zero
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do i=1,4
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dtdx=u(i)*phix(i)+dtdx
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dtdy=u(i)*phiy(i)+dtdy
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t=u(i)*dn(i)+t
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told=(u(i)-du(i,nrhs))*dn(i)+told
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end do
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cond=1.
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dcdt=zero
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dtdt=(t-told)/dtime
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we=gwei(k)*ajacob
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do ki=1,4
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c loop over nodes
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rhs(ki,nrhs) = rhs(ki,nrhs) -
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1 we*(dN(ki)*rho*spec*dtdt +
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2 cond*(phix(ki)*dtdx + phiy(ki)*dtdy))
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do kj=1,4
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amatrx(ki,kj)= amatrx(ki,kj) +
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1 we*(dn(ki)*dn(kj)*rho*spec/dtime +
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1 cond*(phix(ki)*phix(kj) + phiy(ki)*phiy(kj)))
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end do
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end do
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enddo
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end if
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return
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end
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