A Mechanical Model for Elastic Fiber Microbuckling

[+] Author and Article Information
A. M. Waas, C. D. Babcock, W. G. Knauss

Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125

J. Appl. Mech 57(1), 138-149 (Mar 01, 1990) (12 pages) doi:10.1115/1.2888295 History: Received September 12, 1988; Revised June 06, 1989; Online March 31, 2008


A two-dimensional mechanical model is presented to predict the compressive strength of unidirectional fiber composites using technical beam theory and classical elasticity. First, a single fiber resting on a matrix half-plane is considered. Next, a more elaborate analysis of a uniformly laminated, unidirectional fiber composite half-plane is presented. The model configuration incorporates a free edge which introduces a buckling mode that originates at the free edge and decays into the interior of the half-plane. It is demonstrated that for composites of low volume fraction (<0.3), this decay mode furnishes values of buckling strain that are below the values predicted by the Rosen (1965) model. At a higher volume fraction the buckling mode corresponds to a half wavelength that is in violation of the usual assumptions of beam theory. Causes for deviations of the model prediction from existing experimental results are discussed.

Copyright © 1990 by The American Society of Mechanical Engineers
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