Chapter 20. Probabilistic Cumulative Damage Numerical Modeling of the Mechanical Response of a Ceramic Matrix Composite in Flexure

  1. Hua-Tay Lin and
  2. Mrityunjay Singh
  1. B. Scott Kessler,
  2. Michael G. Jenkins and
  3. Paul E. Labossiere

Published Online: 26 MAR 2008

DOI: 10.1002/9780470294741.ch20

26th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures: A: Ceramic Engineering and Science Proceedings, Volume 23, Issue 3

26th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures: A: Ceramic Engineering and Science Proceedings, Volume 23, Issue 3

How to Cite

Scott Kessler, B., Jenkins, M. G. and Labossiere, P. E. (2008) Probabilistic Cumulative Damage Numerical Modeling of the Mechanical Response of a Ceramic Matrix Composite in Flexure, in 26th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures: A: Ceramic Engineering and Science Proceedings, Volume 23, Issue 3 (eds H.-T. Lin and M. Singh), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470294741.ch20

Author Information

  1. Department of Mechanical Engineering University of Washington Seattle, WA 98195–2600

Publication History

  1. Published Online: 26 MAR 2008
  2. Published Print: 1 JAN 2002

ISBN Information

Print ISBN: 9780470375785

Online ISBN: 9780470294741

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Keywords:

  • tensile;
  • ceramics;
  • thermal shock;
  • three-dimensionally (3-D);
  • dimension

Summary

Studies of fiber-reinforced ceramic matrix composites (CMCs) have shown non symmetric monotonic stress-strain response for tensile and compressive uniaxial loading. Because most CMC components experience multi-axial loading, it is imperative that the composite behavior and resulting cumulative damage be predictable using the data from uniaxially-loaded laboratory tests. A finite element analysis (FEA) model of a prismatic, rectangular beam composed of separately meshed fiber and matrix elements was subjected to four-point flexural loading. Cumulative damage was incorporated into the model using an element “kill” command to change the stiffnesses of elements whose probabilistically-distributed strengths were exceeded by the resulting stresses. Unsupported fibers were not allowed to support compression. Although the model does not directly incorporate the behavior of the interphase material, good agreement between the FEA model and experimental results were found for a 3-D, braided SiC fiber/CVI SiC matrix CMC. The probabilistically-based cumulative damage FEA model gave a variety of force-displacement curves which formed an envelope of curves encompassing the experimental results.