The Elastic Moduli of Heterogeneous Materials

[+] Author and Article Information
Zvi Hashin

The Towne School of Civil and Mechanical Engineering, University of Pennsylvania, Philadelphia, Pa.

J. Appl. Mech 29(1), 143-150 (Mar 01, 1962) (8 pages) doi:10.1115/1.3636446 History: Received November 23, 1960; Online September 16, 2011


Bounds and expressions for the elastic moduli of two or many phase nonhomogeneous materials are obtained by an approximate method based on the variational theorems of the theory of elasticity and on a concentric-spheres model. Theoretical results are in good agreement with experimental results for a two-phase alloy.

Copyright © 1962 by ASME
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