On Stiffness and Strength of an Aligned Short-Fiber Reinforced Composite Containing Fiber-End Cracks Under Uniaxial Applied Stress

[+] Author and Article Information
M. Taya

Department of Mechanical and Aerospace Engineering, University of Delaware, Newark, Del. 19711

T. Mura

Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 48(2), 361-367 (Jun 01, 1981) (7 pages) doi:10.1115/1.3157623 History: Received June 01, 1980; Revised September 01, 1980; Online July 21, 2009


One of the experimental findings on short-fiber reinforced composite materials is that the fiber-ends act as a crack initiator. The effect of the fiber-end crack on the overall stiffness and the strength of the composite are investigated here. A particular emphasis is placed upon the weakening longitudinal Young’s modulus by the fiber-end crack which is assumed to be penny-shaped. The energy release rate of the penny-shaped crack at the fiber-end under a uniaxial applied stress is also calculated for a fracture criterion. It is assumed in our theoretical model that short-fibers are all aligned in the loading direction and the penny-shaped crack at the fiber-end extends in the direction perpendicular to the fiber axis. Our analytical technique is a combination of Eshelby’s equivalent inclusion method and Mori-Tanaka’s back stress analysis so that our results are valid even for large volume fraction of fibers.

Copyright © 1981 by ASME
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