Negative poisson's ratio materials via isotropic interactions

Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

We show that under tension a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintuitively, 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, a negative Poisson's ratio can be exhibited even when the material is constrained to be elastically isotropic.

Original languageEnglish (US)
Article number085501
JournalPhysical review letters
Volume101
Issue number8
DOIs
StatePublished - Aug 18 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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