Negative Poisson's ratio materials via isotropic interactions.

نویسندگان

  • Mikael C Rechtsman
  • Frank H Stillinger
  • Salvatore Torquato
چکیده

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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عنوان ژورنال:
  • Physical review letters

دوره 101 8  شماره 

صفحات  -

تاریخ انتشار 2008