A General Theory on Media with Randomly Distributed Inclusions: Part I—The Average Field Behaviors

[+] Author and Article Information
B. Wang

Laboratory of Nonlinear Mechanics of Continuous Media, Institute of Mechanics, CAS, Beijing 100080, People’s Republic of China

J. Appl. Mech 57(4), 857-862 (Dec 01, 1990) (6 pages) doi:10.1115/1.2897652 History: Received March 10, 1989; Revised January 15, 1990; Online March 31, 2008


In this paper, a theory is developed to calculate the average strain field in the materials with randomly distributed inclusions. Many previous researches investigating the average field behaviors were based upon Mori and Tanaka’s idea. Since they were restricted to studying those materials with uniform distributions of inclusions they did not need detailed statistical information of random microstructures, and could use the volume average to replace the ensemble average. To study more general materials with randomly distributed inclusions, the number density function is introduced in formulating the average field equation in this research. Both uniform and nonuniform distributions of inclusions are taken into account in detail.

Copyright © 1990 by The American Society of Mechanical Engineers
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