Anisotrophy of the Vigdergauz Microstructure

[+] Author and Article Information
Y. Grabovsky

Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213

R. V. Kohn

Courant Institute, New York University, New York, NY 10012

J. Appl. Mech 62(4), 1063-1065 (Dec 01, 1995) (3 pages) doi:10.1115/1.2896043 History: Accepted November 30, 1994; Received November 30, 1994; Online October 30, 2007


A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.

Copyright © 1995 by The American Society of Mechanical Engineers
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