International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 24, Pages 1255-1265
doi:10.1155/S0161171204303388
S-plane analysis for the fundamental problems of a stretched
infinite plate weakened by curvilinear holes
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.
Abstract
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.