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An asymptotic procedure and numerical study for the analysis of an elastic body with a thin sub-surface crack

Published online by Cambridge University Press:  26 September 2008

A. B. Movchan  and
J. R. Willis
A. B. Movchan
Affiliation:
School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
J. R. Willis
Affiliation:
School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
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Abstract

A class of three-dimensional crack problems is considered, of which a prototype example is provided by a half-space containing a long internal crack, located in a plane perpendicular to the boundary. By means of an asymptotic procedure, the original three-dimensional problem is split up into a sequence of two-dimensional formulations. Results of its numerical implementation are in good agreement with results of more computer-intensive finite-element calculations.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 1 , February 1995 , pp. 1 - 23
Copyright
Copyright © Cambridge University Press 1995

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