Non linear elasticity, viscosity and damage in open-cell polymeric foams

Giampiero Pampolini (1) , Michel Raous (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

Of interest in this work is the behavior of open-cell polymer foams under compression. In a recent work by Del Piero and Pampolini (2012) a model coupling non linear elasticity and viscosity was introduced to describe the response of a polyurethane foam subjected to uniaxial cyclic compression. Non elastic effects of the response curves were attributed to the viscous properties of the foam, while strain localization and hysterisis were attributed to the non convexity of the strain energy density. But the model could not reproduce the response curves after the first loading-unloading cycle. Here that model is extended by taking into account the damage of the foam. A simple phenomenological one parameter damage law is used to describe the damage of the cell walls occurring during the first loading cycle. An accurate identification procedure for the model constants is also developed and the mutual role played by viscosity and damage on the foam deformation evolution is discussed. Besides the one dimensional formulation, the model permits a precise analysis of the main phenomena which have to be considered to describe the complex behavior of the foam.

Mots clés: Polymeric foams; cyclic behavior; Mullins effect; damage; linear viscosity; non convex energy

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Giampiero Pampolini, Michel Raous. Non linear elasticity, viscosity and damage in open-cell polymeric foams. Archive of Applied Mechanics, 2014, 84 (12), pp.1861-1881. ⟨10.1007/s00419-014-0891-5⟩. ⟨hal-01353394⟩