International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 24, Pages 1255-1265

S-plane analysis for the fundamental problems of a stretched infinite plate weakened by curvilinear holes

I. S. Ismail

Department of Mathematics, Faculty of Science, Alexandria University, Egypt

Received 29 April 2002

Copyright © 2004 I. S. Ismail. 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.


Complex variable methods are used to obtain exact and closed expressions for Goursat's functions for the stretched infinite plate weakened by two inner holes which are free from stresses. The plate considered is conformally mapped on the area of the right half-plane. Previous work is considered as special cases of this work. Cases of different shapes of holes are included. Also, many new cases are discussed using this mapping.