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2006 | 26 | 1 | 77-86
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Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane

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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.
  • Basic and Applied Science Department, Arab Academy for Science and Technology, P.O. Box 1029 Alexandria, Egypt
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  • [2] M.A. Abdou and A.A. El-Bary, Fundamental problems for infinite plate with a curvilinear hole having finite poles, Math. Prob. In. Eng. 7 (6) (2001), 485-501.
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