Journal of Applied Mathematics
Volume 2004 (2004), Issue 1, Pages 55-68
doi:10.1155/S1110757X04306170
Dynamic crack propagation between two bonded orthotropic plates
Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig P.O. 44519, Egypt
Received 30 June 2003; Revised 30 August 2003
Copyright © 2004 M. S. Matbuly. 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 problem of crack propagation along the interface of two bonded
dissimilar orthotropic plates is considered. Using
Galilean transformation, the problem is reduced to a
quasistatic one. Then, using Fourier transforms and asymptotic
analysis, the problem is reduced to a pair of singular integral
equations with Cauchy-type singularity. These equations are
solved using Gauss-Chebyshev quadrature formulae. The dynamic
stress intensity factors are obtained in closed form
expressions. Furthermore, a parametric study is introduced to
investigate the effect of crack growth rate and geometric and
elastic characteristics of the plates on values of dynamic stress
intensity factors.