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Article Dans Une Revue Journal of Elasticity Année : 2022

The Curious Case of 2D Isotropic Incompressible Neo-Hookean Composites

Résumé

The homogenized behavior of a hyperelastic composite material is characterized by an effective stored-energy function that is functionally very different from the stored-energy functions that describe the underlying hyperelastic constituents. Over the past two decades, several analytical and computational results suggest that the case of isotropic incompressible Neo-Hookean composites in 2D may be the exception. This Note conjectures that the homogenized behavior of an isotropic hyperelastic solid made of incompressible Neo-Hookean materials is itself an incompressible Neo-Hookean material. To support this conjecture, earlier results are summarized, a new Reuss lower bound is derived, and a set of computational results is presented for the physically relevant cases of a Neo-Hookean matrix filled with random isotropic distributions of rigid and liquid circular particles of identical size.
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Dates et versions

hal-03964258 , version 1 (31-01-2023)

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Victor Lefèvre, Gilles Francfort, Oscar Lopez-Pamies. The Curious Case of 2D Isotropic Incompressible Neo-Hookean Composites. Journal of Elasticity, 2022, 151 (1), pp.177-186. ⟨10.1007/s10659-022-09907-2⟩. ⟨hal-03964258⟩
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