Ortiz, M. and Molinari, A. (1988) Microstructural thermal stresses in ceramic materials. Journal of the Mechanics and Physics of Solids, 36 (4). pp. 385-400. ISSN 0022-5096. doi:10.1016/0022-5096(88)90024-5. https://resolver.caltech.edu/CaltechAUTHORS:20180104-145941926
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Abstract
The problem addressed concerns the analytical characterization of the state of residual stress in a polycrystalline ceramic material following cooling from the fabrication temperature. It is shown that, under mild assumptions on the behavior and microstructure of the material, the covariance matrix of the micro-structural residual stresses can be obtained in closed form from the equations of elasticity. The analysis does not take thermally induced microcracking into consideration and the solid is idealized as remaining essentially intact during the cooling process. However, the results so obtained are subsequently used to derive first-order estimates of microcrack densities.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1988 Elsevier. (Received 1 May 1987; in revised form 28 September 1987) MO gratefully acknowledges the support of the Office of Naval Research through grant N00014-85-K-0720. | |||||||||
| Group: | GALCIT | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1016/0022-5096(88)90024-5 | |||||||||
| Record Number: | CaltechAUTHORS:20180104-145941926 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180104-145941926 | |||||||||
| Official Citation: | M. Ortiz, A. Molinari, Microstructural thermal stresses in ceramic materials, In Journal of the Mechanics and Physics of Solids, Volume 36, Issue 4, 1988, Pages 385-400, ISSN 0022-5096, https://doi.org/10.1016/0022-5096(88)90024-5. (http://www.sciencedirect.com/science/article/pii/0022509688900245) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 84097 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 05 Jan 2018 00:38 | |||||||||
| Last Modified: | 15 Nov 2021 20:16 |
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