Instabilities of a Finitely Deformed Fiber-Reinforced Elastic Material

[+] Author and Article Information
N. Triantafyllidis

Department of Aerospace Engineering, University of Michigan, Ann Arbor, Mich. 48109

R. Abeyaratne

College of Engineering, Michigan State University, East Lansing, Mich. 48824

J. Appl. Mech 50(1), 149-156 (Mar 01, 1983) (8 pages) doi:10.1115/1.3166983 History: Received May 01, 1982; Revised September 01, 1982; Online July 21, 2009


The instabilities of a finitely deformed Blatz-Ko material reinforced with fibers in a single direction (an anisotropic, nonlinearly elastic material) are examined. The loading is one of plane strain uniaxial stress with the load axis being inclined with respect to the fiber direction. In general one finds a critical applied stress (or stretch) at which surface instabilities of the body occur. This is then followed by a shear band-type instability. For a certain range of fiber orientations these instabilites appear a maximum stress level has been reached. It has also been found that when the fiber direction approaches the loading axis, the material is stabilized in tension but destabilized in compression.

Copyright © 1983 by ASME
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