Statistical strength of brittle materials with strongly interacted collinear microcracks

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume35
Issue number11
DOIs
StatePublished - Apr 1998

Fingerprint

brittle materials
Brittle Materials
Microcracks
microcracks
Collinear
Brittleness
Crack
cracks
Cracks
ligaments
Toughness
Weibull distribution
Statistical Distribution
Ligaments
Weibull Distribution
toughness
statistical distributions
Standard deviation
coalescing
standard deviation

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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abstract = "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.",
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Statistical strength of brittle materials with strongly interacted collinear microcracks. / Zhang, S. U.Lin; Li, Teng; Yang, Wei.

In: International Journal of Solids and Structures, Vol. 35, No. 11, 04.1998, p. 995-1008.

Research output: Contribution to journalArticle

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