Negative Poisson's ratio materials via isotropic interactions
Materials Science
2009-11-13 v1 Statistical Mechanics
Abstract
We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the triangular lattice in two dimensions and lattices with cubic symmetry in three dimensions exhibit a negative Poisson's ratio. In the former case, the simple Lennard-Jones potential can give rise to auxetic behavior. In the latter case, negative Poisson's ratio can be exhibited even when the material is constrained to be elastically isotropic.
Cite
@article{arxiv.0807.3562,
title = {Negative Poisson's ratio materials via isotropic interactions},
author = {Mikael C. Rechtsman and Frank H. Stillinger and Salvatore Torquato},
journal= {arXiv preprint arXiv:0807.3562},
year = {2009}
}
Comments
10 pages, 2 figures, accepted in Physical Review Letters