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

Alaa A. El-Bary (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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...

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