Aspects of Heterogenization

[+] Author and Article Information
E. Honein

Division of Applied Mechanics, Stanford, CA 94305-4040

T. Honein

General Science and Technology, Sunnyvale, CA 94086

G. Herrmann

Division of Applied Mechanics, Stanford University, Stanford, CA 94305-4040

J. Eng. Mater. Technol 116(3), 298-304 (Jul 01, 1994) (7 pages) doi:10.1115/1.2904291 History: Received September 30, 1993; Revised February 03, 1994; Online April 29, 2008


In this paper, we briefly review some of the recent developments in the methodology of heterogenization. A connection between a group structure on the set (−1, 1) of real numbers t such that −1 < t < 1, and the elastostatics of a multilayered fiber perfectly bonded to an infinite matrix is pointed out. Also, universal formulae, pertaining to the solution of two circular elastic inclusions perfectly bonded to a matrix, of infinite extent, which is subjected to arbitrary loading, are discussed. As a novel illustration of the heterogenization procedure, we study here the case where the inclusions are elastically (i.e., “imperfectly”) embedded in the matrix. Several cases are presented and discussed.

Copyright © 1994 by The American Society of Mechanical Engineers
Topics: Fibers
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