Fracture statistics of brittle materials: Weibull or normal distribution

Chunsheng Lu, Robert Danzer, and Franz Dieter Fischer
Phys. Rev. E 65, 067102 – Published 13 June 2002
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Abstract

The fit of fracture strength data of brittle materials (Si3N4, SiC, and ZnO) to the Weibull and normal distributions is compared in terms of the Akaike information criterion. For Si3N4, the Weibull distribution fits the data better than the normal distribution, but for ZnO the result is just the opposite. In the case of SiC, the difference is not large enough to make a clear distinction between the two distributions. There is not sufficient evidence to show that the Weibull distribution is always preferred to other distributions, and the uncritical use of the Weibull distribution for strength data is questioned.

  • Received 30 November 2001

DOI:https://doi.org/10.1103/PhysRevE.65.067102

©2002 American Physical Society

Authors & Affiliations

Chunsheng Lu1,2, Robert Danzer1, and Franz Dieter Fischer3

  • 1Institut für Struktur- und Funktionskeramik, Montanuniversität Leoben, A-8700 Leoben, Austria
  • 2State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Academia Sinica, Beijing 100080, China
  • 3Institut für Mechanik, Montanuniversität Leoben, A-8700 Leoben, Austria

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Issue

Vol. 65, Iss. 6 — June 2002

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