Residual thermal stresses in ceramic composites. Part I: with ellipsoidal inclusions

Residual thermal stresses in ceramic matrix composites containing ellipsoidal inclusions are analyzed using a modified Eshelby model. Closed-form analytical solutions are obtained; however, their formulations are formidable. When the inclusion is disc-shaped, spherical, or fiber-shaped, simple analytical solutions can be obtained using different models, and they are in excellent agreement with those obtained from the modified Eshelby model. The analytical solutions are compared with the experimental and finite element results. Also, effects of the aspect ratio and the volume fraction of inclusions on residual thermal stresses are examined.