Statistical strength of brittle materials with strongly interacted collinear microcracks

S. U.Lin Zhang, Teng Li, Wei Yang

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The coalescing process from microcracks to a fatal macroscopic crack is dominated by the strong interaction among neighbouring microcracks. The distribution of microcracks modifies the strength and toughness of a brittle material. The present paper focuses on the case of strongly interacting collinear microcracks, and quantifies the influence by the statistical distributions of crack lengths and ligament sizes. The strength of a brittle solid decreases as the standard deviation of those distributions increases. Furthermore, we predict the scale dependency of brittle materials: a specimen of large size would have lower strength than a small specimen with the same microcrack density. The analysis indicates that the statistical strength of a brittle material with strongly interacting collinear microcracks can be correlated by a three-parameter Weibull distribution.

Original languageEnglish (US)
Pages (from-to)995-1008
Number of pages14
JournalInternational Journal of Solids and Structures
Issue number11
StatePublished - Apr 1998

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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