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ArticleOriginal scientific text

Title

Solution of Fredholm integrodifferential equation for an infinite elastic plate

Authors 1

Affiliations

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

Abstract

Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.

Keywords

ENG
integrodifferential equation, Cauchy method, complex variable, infinite plate, curvilinear hole

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2004/24/1
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Pages:
5-11
Main language of publication
English
Received
2004-01-16
Published
2004

DOI: 10.7151/dmgt.1048

Exact and natural sciences