A class of auxetic three-dimensional lattices

Luigi Cabras; Michele Brun

doi:10.1016/j.jmps.2016.02.010

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arXiv · 1506.04919

A class of auxetic three-dimensional lattices

Luigi Cabras·Michele Brun

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Abstract

We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed in order to have omni-directional Poisson's ratio arbitrarily close to the stability limit -1. The cubic behavior of the periodic system has been fully characterized; the minumum and maximum Poisson's ratio and the associated principal directions are given as a function of the microstructural parameters. The initial microstructure is then modified into a body centered-cubic system that can achieve a Poisson's ratio lower than -1 and that can also behave as an isotropic three-dimensional auxetic structure.

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Luigi Cabras, Michele Brun. 2015-06-16. A class of auxetic three-dimensional lattices. https://doi.org/10.1016/j.jmps.2016.02.010

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