A class of auxetic three-dimensional lattices
Classical Physics
2016-04-20 v1 Materials Science
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.
Keywords
Cite
@article{arxiv.1506.04919,
title = {A class of auxetic three-dimensional lattices},
author = {Luigi Cabras and Michele Brun},
journal= {arXiv preprint arXiv:1506.04919},
year = {2016}
}
Comments
24 pages, 16 Figures (33 subfigures)