Stress Distributions in Ceramic Composites Containing Faceted Inclusions

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Abstract
Using a Fourier transform approach, the micromechanical stress distributions in and around inclusions in ceramic composites were calculated and were found to be in excellent agreement with the Eshelby approach when applied to an ellipsoidal geometry. Both inhomogeneous modulus and crystalline anisotropy were incorporated into the technique. The calculations were then extended to a more realistic inclusion shape, namely, the octahedron, and the effects of faceted geometries and stress concentration sites were delineated. Calculations show that the approximation of ellipsoidal inclusion shape for a faceted inclusion in ceramic composites yields the general features but can be misleading in predicting the micromechanical properties. Our model is applied to predict nucleation of cracks at faces, edges, and corners of octahedrally shaped SiC inclusions in Al2O3 and nucleation sites of the room‐temperature phase transformation of octahedrally shaped particles of zirconia (from tetragonal to monoclinic) in an alumina matrix, where the martensitic nucleation is governed by strain fields.

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