An infinite plate with a curvilinear hole in S-plane

  • A. A. El-Bary
  • I. H. El-Sirafy
Keywords: Infinite plate, Cauchy integral, First and second fundamental problem, integro-differential function

Abstract

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.

Published
2001-04-01
Section
Articoli