On constitutive models of finite elasticity with possible zero apparent Poisson's ratio

Abstract : The idea in this paper is to build a class of constitutive equations for highly compressible isotropic materials that, among others, are capable to describe a zero apparent Poisson’s ratio in the whole finite strain range, not only for moderate straining. This remarkable property is, for instance, observed in many soft materials with micro-structures such as sponges and polymeric foams with high porosities. It would then be suitable to describe their behavior within a macroscopic modeling framework. More specifically, herein by means of elementary considerations, we deduce adequate forms of strain-energy functions that are a priori decomposed into purely volumetric and volume-preserving parts. A class of compressible hyperelastic materials of the general Odgen type is obtained. It can consequently be specialized, for instance, to neo-Hookean, Mooney–Rivlin, and Varga’s model types as well. Furthermore, for the elastic parameters, a connection with the limiting case of linear elasticity is made whenever possible, in particular with the classical Poisson’s ratio, and with the bulk to shear moduli ratio.
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https://hal-ensta.archives-ouvertes.fr/hal-01320768
Contributeur : Boumediene Nedjar <>
Soumis le : mardi 24 mai 2016 - 13:39:44
Dernière modification le : mardi 6 mars 2018 - 15:58:42

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Boumediene Nedjar. On constitutive models of finite elasticity with possible zero apparent Poisson's ratio. International Journal of Solids and Structures, Elsevier, 2016, 91, pp.72-77. 〈http://www.sciencedirect.com/science/article/pii/S0020768316300506〉. 〈10.1016/j.ijsolstr.2016.04.026〉. 〈hal-01320768〉

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