Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 930820, 10 pages
doi:10.1155/2008/930820
Research Article
Closed-Form Solutions for a Mode-III Moving Interface Crack at the
Interface of Two Bonded Dissimilar Orthotropic Elastic Layers
1Department of Computer Science, The University of Calgary, Calgary, AB, T2N 1N4, Canada
2Department of Mathematics and Statistics, The University of Calgary, Calgary, AB, T2N 1N4, Canada
Received 27 February 2008; Accepted 10 November 2008
Academic Editor: Francesco Pellicano
Copyright © 2008 B. M. Singh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
An integral transform technique is used to solve the elastodynamic problem of a crack of fixed length propagating at a constant speed at the interface of two bonded dissimilar orthotropic layers of equal thickness. Two cases of practical importance are investigated. Firstly, the lateral boundaries of the layers are clamped and displaced in
equal and opposite directions to produce antiplane shear resulting in a tearing motion along the leading edge of
the crack, and secondly, the lateral boundaries of the layers are subjected to shear stresses. The analytic solution
for a semi-infinite crack at the interface of two bonded dissimilar orthotropic layers has been derived. Closed-form
expressions are obtained for stressing the intensity factor and other physical quantities in all cases.