Journal of Applied Mathematics
Volume 2005 (2005), Issue 3, Pages 289-299
doi:10.1155/JAM.2005.289
Moving interfacial Griffith crack between bonded dissimilar media
Department of Mathematics, B. P. Poddar Institute of Management and Technology, Poddar Vihar, 137 V. I. P. Road, Calcutta 700052, West Bengal, India
Received 27 October 2003; Revised 29 October 2004
Copyright © 2005 S. Mukherjee and S. Das. 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
The plane strain problem of determining strain energy release
rate, crack energy, and crack-opening displacement (COD) for a
moving Griffith crack at the interface of two dissimilar
orthotropic half-planes is considered. The problem is reduced to a
pair of singular integral equations of second kind which have
finally been solved by using Jacobi polynomials. Graphical plots
of the strain energy release rate, crack energy, and crack-opening
displacement for the problem in different particular cases are presented.