Abstract
Analyses of fracture trajectories are used to investigate structures that fall between “micro” and “macro” scales. It was shown that fracture trajectories belong to the class of nonstationary processes. It was also found that correlation distance, which may be related to a characteristic size of a fracture process, increases with crack length. An assemblage of crack trajectory processes may be considered as a diffusive process. Chudnovsky [ Lectures on Fracture, CWRU, Cleveland, 1981–1985] introduced a “crack diffusion coefficient” d which reflects the ability of the material to deviate the crack trajectory from the most energetically efficient path and thus links the material toughness to its structure. For the set of fracture trajectories in AISI 304 steel d was found to be equal to 1.04 microns. The fractal dimension D for the same set of trajectories was found to be 1.133.
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