TY - JOUR
T1 - Negative poisson's ratio materials via isotropic interactions
AU - Rechtsman, Mikael C.
AU - Stillinger, Frank H.
AU - Torquato, Salvatore
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/8/18
Y1 - 2008/8/18
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.101.085501
DO - 10.1103/PhysRevLett.101.085501
M3 - Article
C2 - 18764632
AN - SCOPUS:50049108386
SN - 0031-9007
VL - 101
JO - Physical review letters
JF - Physical review letters
IS - 8
M1 - 085501
ER -