Abstract

The specific Helmholtz free energy of nonlinear viscoelastic isotropic polymer solids is assumed to be a separable, symmetric function along three orthogonal principal strain directions, i.e.Ψ=ψ(λ1,qn(1))+ψ(λ2,qn(2))+ψ(λ3,qn(3)), where theλr (r=1, 2, 3) are three principal stretch ratios and theqn(r) are a set of internal state variables. It is shown that, by using this postulated form of the free energy function, one can readily characterize the mechanical response of viscoelastic polymer solids.

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