International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3157-3167
doi:10.1155/IJMMS.2005.3157
Moving Griffith crack in an orthotropic strip with punches at boundary faces
Department of Mathematics, B. P. Poddar Institute of Management & Technology, Poddar Vihar, 137 VIP Road, Kolkata 700052, West Bengal, India
Received 20 May 2005
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
Integral transform technique is employed to solve the elastodynamic problem of steady-state propagation of a Griffith crack centrally situated along the midplane of orthotropic strip of finite thickness 2h and subjected to point loading with centrally situated moving punches under constant pressure along the boundaries of the layer. The problem is reduced to the solution of a pair of simultaneous singular integral equations with Cauchy-type singularities which have finally been solved through the finite Hilbert transform technique. For large h, analytical expression for the stress intensity factor at the crack tip is obtained. Graphical plots of the numerical results are also presented.