A continuum hyperelastic model for auxetic materials | Zendy

Jacopo Ciambella | Zendy; Giuseppe Saccomandi | Zendy

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A continuum hyperelastic model for auxetic materials

Author(s) -

Jacopo Ciambella,

Giuseppe Saccomandi

Publication year - 2014

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2013.0691

Subject(s) - auxetics , hyperelastic material , isotropy , constitutive equation , compressibility , nonlinear elasticity , elasticity (physics) , monotonic function , nonlinear system , materials science , continuum mechanics , mathematics , mechanics , mathematical analysis , composite material , physics , finite element method , thermodynamics , quantum mechanics

We propose a simple mathematical model to describe isotropic auxetic materials in the framework of the classical theory of nonlinear elasticity. The model is derived from the Blatz-Ko constitutive equation for compressible foams and makes use of a non-monotonic Poisson function. An application to the modelling of auxetic foams is considered and it is shown that the material behaviour is adequately described with only three constitutive parameters

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