Chapter 34. Mathematical Modeling of the Strength and Toughness of Unidirectional Fiber-Reinforced Ceramics

  1. John B. Wachtman Jr
  1. K. M. Knowles and
  2. X. F. Yang

Published Online: 28 MAR 2008

DOI: 10.1002/9780470313831.ch34

Proceedings of the 15th Annual Conference on Composites and Advanced Ceramic Materials, Part 1 of 2: Ceramic Engineering and Science Proceedings, Volume 12, Issue 7/8

Proceedings of the 15th Annual Conference on Composites and Advanced Ceramic Materials, Part 1 of 2: Ceramic Engineering and Science Proceedings, Volume 12, Issue 7/8

How to Cite

Knowles, K. M. and Yang, X. F. (2008) Mathematical Modeling of the Strength and Toughness of Unidirectional Fiber-Reinforced Ceramics, in Proceedings of the 15th Annual Conference on Composites and Advanced Ceramic Materials, Part 1 of 2: Ceramic Engineering and Science Proceedings, Volume 12, Issue 7/8 (ed J. B. Wachtman), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470313831.ch34

Author Information

  1. University of Cambridge Department of Materials Science and Metallurgy Cambridge CB2 3QZ U.K.

Publication History

  1. Published Online: 28 MAR 2008
  2. Published Print: 1 JAN 1991

ISBN Information

Print ISBN: 9780470375099

Online ISBN: 9780470313831

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Keywords:

  • ceramic;
  • parameters;
  • fiber;
  • matrix;
  • mathematical

Summary

The initial simplifying assumptions made in models available in the literature for describing both the strength and toughness of unidirectional fiber-reinforced ceramics, in which the matrix generally fails first by a process of multiple fracture, are reviewed. The effect of the simplifying assumptions on the predictions of the models are demonstrated for two recently proposed statistical models for ultimate strength based on modified bundle failure analyses and for the case of the distribution of pull-out lengths.