Effect of Matrix Cracking in Cross-Ply Ceramic Matrix Composite Beams on Their Mechanical Properties and Natural Frequencies
Abstract
The present paper illustrates the effect of matrix cracks in longitudinal and transverse layers of cross-ply ceramic matrix composite (CMC) beams on their mechanical properties and vibration frequencies. Even in a geometrically linear problem considered in the paper, the physical non-linearity is introduced by matrix cracks and interfacial fiber-matrix friction in longitudinal layers. A closed-form solution for mechanical properties of a cross-ply CMC beam with matrix cracks is developed in the paper. The frequency of free vibrations of a simply supported beam is derived as a function of the amplitude, accounting for the effect of matrix cracks. As shown in the paper, the prediction of the natural frequencies of cross-ply CMC beams with matrix cracks in both longitudinal and transverse layers is possible using simple, yet accurate, approximate equations. © 2002 Elsevier Science Ltd. All rights reserved.
Recommended Citation
V. Birman and L. W. Byrd, "Effect of Matrix Cracking in Cross-Ply Ceramic Matrix Composite Beams on Their Mechanical Properties and Natural Frequencies," International Journal of Non-Linear Mechanics, Elsevier, Jan 2002.
The definitive version is available at https://doi.org/10.1016/S0020-7462(01)00055-5
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0020-7462
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2002 Elsevier, All rights reserved.
Publication Date
01 Jan 2002
