Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata
Contributor : Boumediene Nedjar Connect in order to contact the contributor
Submitted on : Tuesday, May 24, 2016 - 1:39:44 PM
Last modification on : Wednesday, May 11, 2022 - 3:14:03 PM

Links full text



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. ⟨10.1016/j.ijsolstr.2016.04.026⟩. ⟨hal-01320768⟩



Record views