Published January 15, 2014
| Version v1
Journal article
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A continuum hyperelastic model for auxetic materials
Authors/Creators
- 1. Advanced Composites Centre for Innovation and Science, University of Bristol, Bristol BS8 1TR, UK; Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Università di Roma, Rome 00184, Italy
- 2. Dipartimento di Ingegneria Industriale, Università degli Studi di Perugia, Perugia 06125, Italy
Description
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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