Abstract
A molecular network theory developed by one of the authors (Y.T.) is applied to an elastic recoil which is one of the nonlinear viscoelastic phenomena of concentrated polymer systems. The integral equation for the constrained recovery on the removal of shear stress following steady shear flow is numerically solved with assuming that the solution for the shear strain is approximately described by a function of time t, as γ(t)=γe−(γe−γi)exp(−αt), where α is a positive constant, γe an ultimate shear recovery and γi the instantaneous shear recovery determined by the rate of shear γ in the steady shear flow before recovery. The result of this numerical calculation proves that the ultimate recovery increases with γ and is larger than the value of s(=Δσn1/2σs), where σs and Δσn1 are the shear stress and the first normal stress difference in the steady flow, respectively.
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