Stress Distributions in Ceramic Composites Containing Faceted Inclusions

Shyam S. Rao, Thomas Tsakalakos, W. Roger Cannon

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1807-1817
Number of pages11
JournalJournal of the American Ceramic Society
Issue number7
StatePublished - Jan 1 1992

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Materials Chemistry


  • Fourier analysis
  • composites
  • shape parameter
  • space
  • stress

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