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RESEARCH PAPERS

On the Use of Approximation Methods for Microcrack Shielding Problems

[+] Author and Article Information
H. Cai

Department of Materials Science and Engineering, The Ohio State University, Columbus, OH 43210

K. T. Faber

Department of Materials Science and Engineering, Northwestern University Evanston, IL 60208

J. Appl. Mech 59(3), 497-501 (Sep 01, 1992) (5 pages) doi:10.1115/1.2893751 History: Received March 30, 1990; Revised January 17, 1991; Online March 31, 2008

Abstract

There is experimental evidence that stress-induced microcracking near a macrocrack tip enhances the fracture toughness of brittle materials. In considering the interaction of the macrocrack with multiple microcracks using a discrete model, it is essential to use approximation methods in order to keep the amount of the computation to a tractable level. However, when crack distances are small, the results of the approximation methods can be significantly different from the numerical solution based upon the exact formulation. The results obtained by these approximation methods will be compared with the numerical solution to show the applicability ranges in which the errors are acceptably small. The use of results obtained by the approximation methods outside applicability ranges in literature is shown to lead to incorrect conclusions concerning microcrack shielding.

Copyright © 1992 by The American Society of Mechanical Engineers
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