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On the Use of Approximation Methods for Microcrack Shielding Problems

Cai, H. and Faber, K. T. (1992) On the Use of Approximation Methods for Microcrack Shielding Problems. Journal of Applied Mechanics, 59 (3). pp. 497-501. ISSN 0021-8936. doi:10.1115/1.2893751.

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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.

Item Type:Article
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Faber, K. T.0000-0001-6585-2536
Additional Information:Copyright © 1992 by The American Society of Mechanical Engineers. Received March 30, 1990; Revised January 17, 1991. Support of this work has been provided by the National Science Foundation under Grant No. DMR-8896212.
Funding AgencyGrant Number
Subject Keywords:Approximation, Microcracks, Brittleness, Stress, Fracture (Materials), Computation, Errors, Fracture toughness
Issue or Number:3
Record Number:CaltechAUTHORS:20140908-181329163
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49438
Deposited By: George Porter
Deposited On:12 Sep 2014 18:58
Last Modified:10 Nov 2021 18:44

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