Materials With Negative Poisson’s Ratio: A Qualitative Microstructural Model

[+] Author and Article Information
N. Phan-Thien

Department of Mechanical Engineering, University of Sydney, NSW 2006, Australia

B. L. Karihaloo

School of Civil and Mining Engineering, University of Sydney, NSW 2006, Australia

J. Appl. Mech 61(4), 1001-1004 (Dec 01, 1994) (4 pages) doi:10.1115/1.2901547 History: Received February 10, 1992; Revised June 08, 1994; Online March 31, 2008


Materials with negative Poisson ’s ratio are peculiar in that they expand laterally when stretched. Examples of such type of behavior have been discovered with foams by Lakes (1987); however, it is only recently that isotropic materials with negative Poisson’s ratio have been shown by Milton (1992) to exist within the framework of classical theory of elasticity. In this Note, we demonstrate qualitatively that a composite material with a reentrant microstructure can also have a negative Poisson’s ratio, even though the composite may be isotropic owing to a completely random distribution of the microstructure.

Copyright © 1994 by The American Society of Mechanical Engineers
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