Two-Dimensional Grained Composites of Extreme Rigidity

[+] Author and Article Information
S. Vigdergauz

R&D Division, Israel Electric Corp., Ltd., P.O. Box 10, Haifa 31000, Israel

J. Appl. Mech 61(2), 390-394 (Jun 01, 1994) (5 pages) doi:10.1115/1.2901456 History: Received August 24, 1992; Revised March 10, 1993; Online March 31, 2008


A thin elastic plate with nonidentical periodical inclusions is considered as an adequate model to optimize mechanical characteristics of a two-phase composite, given the mean stresses and phase volume fraction. Geometrical forms of these inclusions minimizing the total stress energy are obtained explicitly through the analytical solution of a specific boundary value problem so their parametrical equations are expressed in terms of elliptic functions. Such approach is used also to find the effective moduli of the composite. Finally, the similar finite-step procedure is suggested to construct multiphase optimal structure with macroisotropy.

Copyright © 1994 by The American Society of Mechanical Engineers
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