Summary
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(λ 1,q n (1))+ψ(λ 2,q n (2))+ψ(λ 3,q n (3)), where theλ r (r=1, 2, 3) are three principal stretch ratios and theq n (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.
Zusammenfassung
Die spezifische Helmholtzsche freie Energie nichtlinear-viskoelastischer, isotroper, fester Polymere wird als separable, symmetrische Funktion der FormΨ=ψ(λ 1,q n (1))+ψ(λ 2,q n (2))+ψ(λ 3,q n (3)) angenommen mit den drei Hauptdehnungsverhältnissenλ r (r=1, 2, 3) und inneren Zustandsvariablenq n (r). Es wird gezeigt, daß dann das mechanische Verhalten der viskoelastischen festen Polymere schnell charakterisiert werden kann.
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This represents the results of one phase of research being carried out at the Jet Propulsion Laboratory, California Institute of Technology, under Contract NAS 7-100, sponsored by the National Aeronautics and Space Administration.
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Peng, S.T.J., Valanis, K.C. & Landel, R.F. Nonlinear viscoelasticity and relaxation phenomena of polymer solids. Acta Mechanica 25, 229–240 (1977). https://doi.org/10.1007/BF01376994
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DOI: https://doi.org/10.1007/BF01376994