Negative Poisson's ratio materials via isotropic interactions

被引：41
|
作者：
Rechtsman, Mikael C. [1 ]
Stillinger, Frank H. [2 ]
Torquato, Salvatore [2 ,3 ,4 ,5 ]
机构：
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[2] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA
[3] Program Appl & Computat Math & PRISM, Princeton, NJ 08544 USA
[4] Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
[5] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08544 USA
来源：
PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 08期
关键词：
D O I：
10.1103/PhysRevLett.101.085501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：4
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