Geodesic
Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 26 (2006) no. 1, pp. 77-86.

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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.
Keywords: infinite plate, Cauchy integral, first and second fundamental problems, integro-differential equation 
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El-Bary, Alaa. Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 26 (2006) no. 1, pp. 77-86. http://geodesic.mathdoc.fr/item/DMDICO_2006_26_1_a2/

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