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Computer Simulations of R-Curve Behavior in Microcracking Materials

Bowling, Gregory D. and Faber, K. T. and Hoagland, R. G. (1987) Computer Simulations of R-Curve Behavior in Microcracking Materials. Journal of the American Ceramic Society, 70 (11). pp. 849-854. ISSN 0002-7820. doi:10.1111/j.1151-2916.1987.tb05639.x.

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A computer program has been developed which simulates the process of microcracking in two-phase ceramic materials. This simulation provides a method of examining the complex interactions which occur between a propagating crack and the residually stressed particles around it. As the residual stresses near second-phase inclusions are relieved by microcrack formation, a process zone forms around the main crack, partially shielding it. The resulting crack resistance curves, or R curves, associated with crack shielding mechanisms are generated by the program. Three variables— the microcrack density (f_s), the dilatant strain associated with each microcracked particle (θ), and the orientation of the microcracks (Ψ)— were used to determine their influence on fracture toughness. The steady-state toughness was found to increase with second-phase particle additions, increased dilatant strain, and the formation of microcracks parallel to the direction of applied stress. However, the magnitude of toughening increase attained in these-simulations was generally lower than that predicted by continuum models. This discrepancy is attributed to the fact that interactions between microcracks produce frontal zones which result in a positive Δk, and hence, a lower steady-state toughness. This behavior is enhanced when microcracks link with the main crack to promote further extension.

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Faber, K. T.0000-0001-6585-2536
Additional Information:© 1987 The American Ceramic Society. Presented at the 88th Annual Meeting of the American Ceramic Society. Chicago. IL, April 30, 1986; (Basic Science Division. Paper No. 161-B-86). Supported by the National Science Foundation under Grant No. DMR-8305800.
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Issue or Number:11
Record Number:CaltechAUTHORS:20140908-181330605
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49451
Deposited By: George Porter
Deposited On:11 Sep 2014 00:00
Last Modified:10 Nov 2021 18:44

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