7. Statistical Treatment of Strength

  1. John B. Wachtman,
  2. W. Roger Cannon and
  3. M. John Matthewson

Published Online: 11 SEP 2009

DOI: 10.1002/9780470451519.ch7

Mechanical Properties of Ceramics, Second Edition

Mechanical Properties of Ceramics, Second Edition

How to Cite

Wachtman, J. B., Cannon, W. R. and Matthewson, M. J. (2009) Statistical Treatment of Strength, in Mechanical Properties of Ceramics, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470451519.ch7

Author Information

  1. Rutgers University, USA

Publication History

  1. Published Online: 11 SEP 2009
  2. Published Print: 30 MAR 2009

ISBN Information

Print ISBN: 9780471735816

Online ISBN: 9780470451519



  • statistical treatment of strength;
  • strength distribution functions;
  • safe stress calculation


This chapter contains sections titled:

  • Introduction

  • Statistical Distributions

  • Strength Distribution Functions

  • Weakest Link Theory

  • Determining Weibull Parameters

  • Effect of Specimen Size

  • Adaptation to Bend Testing

  • Safety Factors

  • Example of Safe Stress Calculation

  • Proof Testing

  • Use of Pooled Fracture Data in Linear Regression Determination of Weibull Parameters

  • Method of Maximum Likelihood in Weibull Parameter Estimation

  • Statistics of Failure under Multiaxial Stress

  • Effects of Slow Crack Propagation and R-Curve Behavior on Statistical Distributions of Strength

  • Surface Flaw Distributions and Multiple Flaw Distributions

  • Problems