Abstract
Abstract Statistical features of brittle fracture such as tortuousity of crack path, scale effect and scatter of toughness parameters are well documented. The apparent randomness of the process is closely associated with the distribution of defects on various scales within a solid. The phenomenological description of microdefects is represented by a random field of specific fracture energy γ following the framework of Statistical Fracture Mechanics (SFM). A brief review of SFM is presented. SFM is a first theory that proposed a way to relate the fracture toughness and roughness of crack path using continuum mechanics formalism. At the same time, the engineering application of the model was limited due to its mathematical complexity. We employ the Monte Carlo method to overcome the analytical difficulties of SFM. Fracture toughness dependency on the tortuousity of crack trajectories, loading conditions and material microstructure are illustrated by computer simulation of tests for common specimen geometries. The ambiguity of the concept of conventional toughness is addressed.
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