Interface Blunting of Matrix Cracks in Fiber-Reinforced Ceramics

[+] Author and Article Information
Anna Dollar, Paul S. Steif

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Appl. Mech 59(4), 796-803 (Dec 01, 1992) (8 pages) doi:10.1115/1.2894045 History: Received April 23, 1990; Revised September 25, 1991; Online March 31, 2008


A crack impinging upon an interface that can debond and then offer frictional resistance is studied theoretically. The central question at issue is the level of the remote load at which the crack penetrates the interface, whether or not some debonding of the interface occurs first. To answer this question, we compute the stress enhancement experienced by the impinged material—averaged over a microstructural length such as the fiber diameter—as a function of interface parameters. The solution to this elasticity problem is arrived at by means of distributed dislocations to represent relative motion at the interface. Special care needs to be taken to account properly for the contact problem at the interface. Not unexpectedly, it is found that higher debond energies and greater frictional resistances lead to higher stress concentrations and, hence, to lower remote failure loads.

Copyright © 1992 by The American Society of Mechanical Engineers
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