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Stochastic and fractal analysis of fracture trajectoriesAnalyses 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 (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.
Document ID
19870063893
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bessendorf, Michael H.
(Cooper Union for the Advancement of Science and Art New York, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1987
Publication Information
Publication: International Journal of Engineering Science
Volume: 25
Issue: 6 19
ISSN: 0020-7225
Subject Category
Structural Mechanics
Accession Number
87A51167
Funding Number(s)
CONTRACT_GRANT: NAG3-223
Distribution Limits
Public
Copyright
Other

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