A STATISTICAL MODEL OF BRITTLE FRACTURE BY TRANSGRANULAR CLEAVAGE

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Original languageEnglish
Pages (from-to)477-497
Journal / PublicationJournal of the Mechanics and Physics of Solids
Volume34
Issue number5
Publication statusPublished - 1986
Externally publishedYes

Abstract

A MODEL for brittle fracture by transgranular cleavage cracking is presented based on the application of weakest link statistics to the critical microstructural fracture mechanisms. The model permits prediction of the macroscopic fracture toughness, KIc, in single phase microstructures containing a known distribution of particles, and defines the critical distance from the crack tip at which the initial cracking event is most probable. The model is developed for unstable fracture ahead of a sharp crack considering both linear elastic and nonlinear elastic ("elastic/plastic") crack tip stress fields. Predictions are evaluated by comparison with experimental results on the low temperature flow and fracture behavior of a low carbon mild steel with a simple ferrite/grain boundary carbide microstructure.