%0 Journal Article
%T An infinite plate with a curvilinear hole in S-plane
%A A. A. El-Bary
%A I. H. El-Sirafy
%J Le Matematiche
%D 1999
%I University of Catania
%X Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for the infinite plate weakened by a hole having arbitrary shape. The plate considered are conformally mapped on the area of the right half-plane. The work of many previous authors are considered as special cases of this work and the interesting cases when the the shape of the hole is an ellipse, a crescent, a triangle, or a cut having the shape of a circular are include as special cases.
%K Infinite plate
%K Cauchy integral
%K First and second fundamental problem
%K integro-differential function
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/329