Chapter 47. Modeling of Nonlinear Constitutive Relations of Woven Ceramic Composites

  1. John B. Wachtman Jr
  1. Wen-Shyong Kuo and
  2. Tsu-Wei Chou

Published Online: 28 MAR 2008

DOI: 10.1002/9780470313831.ch47

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

Kuo, W.-S. and Chou, T.-W. (1991) Modeling of Nonlinear Constitutive Relations of Woven Ceramic Composites, 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.ch47

Author Information

  1. Center for Composite Materials and Department of Mechanical Engineering University of Delaware Newark, DE 19716

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:

  • evolution;
  • acoustic;
  • hydraulic;
  • laminates;
  • fabric

Summary

This paper examines the linear and nonlinear tensile behavior of SiC/SiC fabric composites. The analysis is based on the observed stress-strain behavior and damage evolution from a series of loading and unloading tensile test experiments. The stress-strain relation is linear in response to the initial loading and becomes nonlinear when loading exceeds the proportional limit. Transverse cracking has been observed to be a dominant damage mode governing the nonlinear deformation. A fiber bundle model is adopted for the analysis, in which fiber undulations in the longitudinal and transverse directions have been taken into account. The fabrication-induced pores among fiber yarns have also been considered. The contribution of the matrix in the intertow space to the composite stiffness has been investigated. Two limiting cases of fabric stacking arrangements are studied, and solutions of the composite stiffness and Poisson's ratio have been obtained. The stress distribution of the composite with transverse cracks in the transverse yarns is evaluated, and the nonlinearity of the composite stress-strain relation due to the presence of transverse cracks is also predicted by applying a maximum failure strain criterion for the transverse yarn.