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ArticleOriginal scientific text

Title

Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane

Authors 1

Affiliations

  1. Basic and Applied Science Department, Arab Academy for Science and Technology, P.O. Box 1029 Alexandria, Egypt

Abstract

The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a circular arc are included as special cases.

Keywords

ENG
infinite plate, Cauchy integral, first and second fundamental problems, integro-differential equation

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2006/26/1
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Pages:
77-86
Main language of publication
English
Received
2005-03-01
Published
2006

DOI: 10.7151/dmdico.1065

Exact and natural sciences