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Random walks and concrete cracks

Published online by Cambridge University Press:  22 September 2016

D. Middleton
D. Middleton*
Affiliation:
Department of Theoretical Mechanics, University of Nottingham
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Extract

The cracking or tearing of thin sheets of material is of considerable interest in modern-day engineering. A recent investigation into the behaviour of concrete indicated that it would be of interest to consider a probabilistic model in which a crack is regarded as some form of non-self-intersecting random walk in the plane. This paper considers some simple models and in the Appendix are included some results on paper tearing.

Type
Research Article
Information
The Mathematical Gazette , Volume 66 , Issue 436 , June 1982 , pp. 128 - 136
Copyright
Copyright © Mathematical Association 1982

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