Parametric resonance in non-linear viscoelasticity: solids of differential type.

We show that finite-amplitude shearing motions superimposed on an ‘unsteady’ simple extension are admissible for incompressible isotropic viscoelastic materials of differential kind. The amplitude of these motions is determined by solving a non-linear non-autonomous differential equation for which we show that limit cycles are possible. [ABSTRACT FROM PUBLISHER]

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