Nonlinear Behavior of Viscoelastic Materials. II. The Method of Analysis and Temperature Dependence of Nonlinear Viscoelastic Functions

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Abstract

The nonlinear viscoelastic functions G1′, G1″, G3′, and G3″ were evaluated for disperse systems of polystyrene solution and styrene-divinyl benzene copolymer particles at various temperatures ranging from 10 to 70°C over the frequency range from 12 to 1/256 Hz. In general, frequency dependence curves of all the functions are rather flat and become less sensitive to temperature as the temperature rises. To the curves at different temperatures, the so-called time-temperature superposition can be applied; the shift factors determined in the course of horizontal shifts of curves for various functions are quite the same and are independent of the strain amplitude. Master curves of the nonlinear functions manifest plateaus in the low frequency region, where the polymer solution itself shows rapid changes in G′ and G″. The height of the plateaus increases very rapidly with increasing particle content. All the moduli G1′, G1″, G3′, and G3″ decreases first rapidly and then slowly with increasing strain amplitude until they level off at larger strain amplitudes. The physical meanings of the nonlinear functions are also discussed.

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