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RESEARCH PAPERS

Axisymmetric Stress Analysis of a Broken, Debonded Fiber

[+] Author and Article Information
U. Mbanefo

Applied Mechanics Department, AiResearch Los Angeles Division, Allied-Signal Aerospace Company, Torrance, CA 90509

R. A. Westmann

Mechanical, Aerospace, and Nuclear Engineering Department, University of California, Los Angeles, CA 90024

J. Appl. Mech 57(3), 654-660 (Sep 01, 1990) (7 pages) doi:10.1115/1.2897072 History: Received March 16, 1989; Revised August 10, 1989; Online March 31, 2008

Abstract

The study of a single broken fiber embedded in an infinite elastic matrix subjected to a uniform far-field strain is presented. The solution, which accounts for the presence of interface debonding in the neighborhood of the fiber fracture, is carried out within the framework of classical elastostatics. The boundary value problem is reduced first to a pair of dual integral equations, and then to a Cauchy singular integral equation which is solved numercially. Results are presented illustrating the dependence of the fiber axial force and the interface shear stress upon the geometrical and material parameters.

Copyright © 1990 by The American Society of Mechanical Engineers
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