International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 14, Pages 2337-2346
Scattering of SH-waves by a Griffith crack in a
long strip at asymmetric position
Department of Mathematics, Faculty of Science, Jadavpur University, Calcutta 700 032, India
Received 11 April 2005
Copyright © 2005 S. Ghosh 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.
The scattering of SH-waves by a Griffith crack in an infinitely
long elastic strip situated at an asymmetric position
has been analyzed. Applying Fourier transform, the mixed boundary
value problem has been reduced to the solution of dual integral
equations which finally has been reduced to the solution of a
Fredholm integral equation of second kind. The numerical
values of stress intensity factor, crack opening displacement, and
scattered field outside the crack have been illustrated
graphically to show the effect of asymmetry of the crack position.