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Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials

Ortiz, M. and Suresh, S. (1993) Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials. Journal of Applied Mechanics, 60 (1). pp. 77-84. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20171213-160735981

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Abstract

The problem addressed in this paper concerns the statistical characterization of the state of residual stress generated in polycrystalline ceramics during cooling from the fabrication temperature. Detailed finite element simulations are carried out for an ensemble of large numbers of randomly oriented, planar hexagonal grains with elastic and thermal expansion anisotropy, and brittle grain interfaces. The calculations show that the distribution of normal and shear tractions induced by thermal contraction mismatch among grains is gaussian and that these tractions are statistically independent random variables. Although the gaussian nature of the distributions remains unaffected by the introduction of elastic anisotropy, the results indicate that elastic anisotropy has a significant effect on the residual stresses for finite departures from isotropy. When the hexagonal grains are randomly distorted, the magnitude and distribution of residual stresses are found to be insignificantly altered. Spontaneous microfracture due to the generation of internal stresses is also simulated in the analysis by allowing for the nucleation and growth of intergranular microcracks when the fracture energy along the grain facets exceeds a certain critical value. When such microcracking is incorporated into the computation, the levels of residual stress are markedly reduced as a consequence of stress dissipation. The dependence of intergranular microcracking on grain size and temperature variation is examined and the predicted trends on material degradation or the complete suppression of microfracture are discussed in the light of available experimental results.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1115/1.2900782DOIArticle
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1410912PublisherArticle
Additional Information:© 1993 by The American Society of Mechanical Engineers. Manuscript received by the ASME Applied Mechanics Division, May 14, 1991; final revision, Dec. 3, 1991. Associate Technical Editor: R. M. McMeeking. The authors wish to thank Dr. Lynn Ewart for her help with the finite element modeling. This work has been supported by the Materials Research Group on Micro-Mechanics of Failure-Resistant Materials at Brown University which is funded by the National Science Foundation under grant DMR-9002994. S. S. acknowledges the support of the U.S. Dept. of Energy under grant DE-FG02-84ER-45167.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFDMR-9002994
Department of Energy (DOE)DE-FG02-84ER-45167
Issue or Number:1
Record Number:CaltechAUTHORS:20171213-160735981
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171213-160735981
Official Citation:Ortiz MM, Suresh SS. Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials. ASME. J. Appl. Mech. 1993;60(1):77-84. doi:10.1115/1.2900782.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83903
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:14 Dec 2017 22:04
Last Modified:03 Oct 2019 19:12

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