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.

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

PUCCI, Edvige;SACCOMANDI, Giuseppe
2010

Abstract

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.
2010
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/109703
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