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TECHNICAL PAPERS

Negative Poisson’s Ratios in Anisotropic Linear Elastic Media

[+] Author and Article Information
T. C. Ting

Division of Mechanics and Computation,  Stanford University, Durand 262, Stanford, CA 94305-4040

D. M. Barnett

Department of Materials Science and Engineering,  Stanford University, 416 Escondido Mall, Building 550, Stanford, CA 94305-2205

J. Appl. Mech 72(6), 929-931 (Feb 28, 2005) (3 pages) doi:10.1115/1.2042483 History: Received September 30, 2004; Revised February 28, 2005

Poisson’s ratio for an anisotropic linear elastic material depends on two orthogonal directions n and m. Materials with negative Poisson’s ratios for all (n,m) pairs are called completely auxetic while those with positive Poisson’s ratios for all (n,m) pairs are called nonauxetic. Simple necessary and sufficient conditions on elastic compliances are derived to identify if any given material of cubic or hexagonal symmetry is completely auxetic or nonauxetic. When these conditions are not satisfied, the medium is auxetic for some (n,m) pairs. Several simple necessary conditions for completely auxetic or nonauxetic media are derived for a general anisotropic elastic material.

Copyright © 2005 by American Society of Mechanical Engineers
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