An Investigation of Localization in a Porous Elastic Material Using Homogenization Theory

[+] Author and Article Information
R. Abeyaratne

College of Engineering, Michigan State University, East Lansing, MI 48824

N. Triantafyllidis

Aerospace Engineering Department, University of Michigan, Ann Arbor, MI 48109

J. Appl. Mech 51(3), 481-486 (Sep 01, 1984) (6 pages) doi:10.1115/1.3167661 History: Received June 01, 1983; Revised December 01, 1983; Online July 21, 2009


In this work we use a consistent homogenization theory approach to study the overall behavior of a highly porous elastic material at finite levels of strain. Although the matrix material in the problem considered here remains elliptic at all deformations, the resulting “homogenized” material is found to admit a loss of ellipticity at sufficiently high strains, i.e., can fail in a localized shear mode.

Copyright © 1984 by ASME
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