Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations

Anne-Sophie Lectez (1) , Erwan Verron (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

The viscoelastic response predicted by linearized internal variables models in the case of small oscillations superimposed on a large static preload is investigated, comparing simple forms of the Zener and the Poynting–Thomson models. It is shown that both of them predict a preload dependency of the equilibrium linearized stress, but only the latter take into account such a dependency on the out-of-equilibrium part. Yet, the Zener model is much more frequently linearized as the Poynting–Thomson model. The formulation of each model for finite deformations is quickly reminded, before linearizing them around a large static preload. Finally, a comparison of the influence of preload on each model is proposed for uniaxial extension, before discussing which kind of model has to be chosen regarding theoretical and practical aspects.

Mots clés: Viscoelasticity; Hyperelasticity; Linearization; Preload dependency

Domaines: Mécanique des structures [physics.class-ph]

Anne-Sophie Lectez, Erwan Verron. Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations. International Journal of Non-Linear Mechanics, 2016, 81, ⟨10.1016/j.ijnonlinmec.2015.12.003⟩. ⟨hal-03286600⟩