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The random walk theory of crack propagation

✍ Scribed by A.S. Krausz

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
397 KB
Volume
12
Category
Article
ISSN
0013-7944

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✦ Synopsis

Crack propagation is considered as a random walk process of consecutive atomic bond breaking and healing steps. The total number of steps is propo~ion~ to tfre propa~t~n time, and the difference of the number of breaking and healing steps is propo~ional to the location of the crack tip at that time. The analysis of the probability and of the number of distinct sequences led to a rigorous expression of a crack size probability distribution function in terms of time, mechanical work, bond free energy or surface energy, and temperature. It is shown that the shape of the probability distribution function is proportional to the sum of the breaking and healing rate constants, and the average crack size is determined by the difference of these two rate constants and by the propagation time.

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