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Published 1988 | metadata_only
Journal Article

Microstructural thermal stresses in ceramic materials


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.

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.

Additional details

August 19, 2023
August 19, 2023