Chapter 3. Analyses of Residual Thermal Stresses in Ceramic Matrix Composites
- John B. Wachtman Jr.
Published Online: 26 MAR 2008
Copyright © 1996 The American Ceramic Society
Proceedings of the 20th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - A: Ceramic Engineering and Science Proceedings, Volume 17, Issue 3
How to Cite
Hsueh, C. H. and Becher, P. F. (1996) Analyses of Residual Thermal Stresses in Ceramic Matrix Composites, in Proceedings of the 20th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - A: Ceramic Engineering and Science Proceedings, Volume 17, Issue 3 (ed J. B. Wachtman), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470314821.ch3
- Published Online: 26 MAR 2008
- Published Print: 1 JAN 1996
Print ISBN: 9780470375426
Online ISBN: 9780470314821
- analytical solutions
Residual thermal stresses in ceramic matrix composites containing either ellipsoidal inclusions or short fibers (i.e., fibers of finite length) are considered. The residual stresses in ellipsoidal inclusions are uniform, and they are analyzed using a modified Eshelby model. Although closed-form analytical solutions can be obtained, their formulations are formidable. When the aspect ratio of the ellipsoid is 0,1, or infinity, simple analytical solutions can be obtained using different models, and they are in excellent agreement with those obtained from the modified Eshelby model. Residual stresses in short fibers are non-uniform, and they are analyzed using a modified shear lag model, in which imaginary fibers are introduced to satisfy the continuity condition at the fiber ends. The analytical solutions are compared to the experimental results.