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A Continuum Theory of Crack Shielding in Ceramics

Ortiz, M. (1987) A Continuum Theory of Crack Shielding in Ceramics. Journal of Applied Mechanics, 54 (1). pp. 54-58. ISSN 0021-8936. doi:10.1115/1.3172994. https://resolver.caltech.edu/CaltechAUTHORS:20180104-150806608

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Abstract

A phenomenological constitutive model is proposed which aims at describing the overall effect of microfracture in ceramics. Based on this model, the asymptotic stress, strain, and displacement fields at the tip of a stationary macroscopic crack are determined in closed form. The near-tip stress-intensity factor is computed and observed to be significantly smaller than the applied stress-intensity factor even for moderate amounts of damage.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1115/1.3172994DOIArticle
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1408749PublisherArticle
ORCID:
AuthorORCID
Ortiz, M.0000-0001-5877-4824
Additional Information:© 1987 ASME. Contributed by the Applied Mechanics Division for presentation at the 1987 Applied Mechanics, Biomechanics, and Fluids Engineering Conference, Cincinnati, OH, June 14-17, 1987, of the American Society of Mechanical Engineers. Manuscript received by ASME Applied Mechanics Division, February 12, 1986; final revision, May 22, 1986. Paper No. 87-APM-9. The author is indebted to helpful and stimulating conversations with C. F. Shih and J. W. Hutchinson. The support of the Office of Naval Research through grant N00014-85-K-0720 is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-85-K-0720
Issue or Number:1
DOI:10.1115/1.3172994
Record Number:CaltechAUTHORS:20180104-150806608
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180104-150806608
Official Citation:Ortiz MM. A Continuum Theory of Crack Shielding in Ceramics. ASME. J. Appl. Mech. 1987;54(1):54-58. doi:10.1115/1.3172994.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84100
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:05 Jan 2018 00:06
Last Modified:15 Nov 2021 20:16

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