Solution of Fredholm integrodifferential equation for an infinite elastic plate

Alaa A. El-Bary

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2004)

  • Volume: 24, Issue: 1, page 5-11
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Alaa A. El-Bary. "Solution of Fredholm integrodifferential equation for an infinite elastic plate." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 24.1 (2004): 5-11. <http://eudml.org/doc/271494>.

@article{AlaaA2004,
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.},
author = {Alaa A. El-Bary},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {integrodifferential equation; Cauchy method; complex variable; infinite plate; curvilinear hole},
language = {eng},
number = {1},
pages = {5-11},
title = {Solution of Fredholm integrodifferential equation for an infinite elastic plate},
url = {http://eudml.org/doc/271494},
volume = {24},
year = {2004},
}

TY - JOUR
AU - Alaa A. El-Bary
TI - Solution of Fredholm integrodifferential equation for an infinite elastic plate
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2004
VL - 24
IS - 1
SP - 5
EP - 11
AB - 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.
LA - eng
KW - integrodifferential equation; Cauchy method; complex variable; infinite plate; curvilinear hole
UR - http://eudml.org/doc/271494
ER -

References

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