M. A. Abdou, A. A. El-Bary, "Fundamental problems for infinite plate with a curvilinear hole having finite poles", Mathematical Problems in Engineering, vol. 7, Article ID 583504, 17 pages, 2001. https://doi.org/10.1155/S1024123X01001740
Fundamental problems for infinite plate with a curvilinear hole having finite poles
In the present paper Muskhelishvili's complex variable method of solving two-dimensional elasticity problems has been applied to derive exact expressions for Gaursat's functions for the first and second fundamental problems of the infinite plate weakened by a hole having many poles and arbitrary shape which is conformally mapped on the domain outside a unit circle by means of general rational mapping function. Some applications are investigated. The interesting cases when the shape of the hole takes different shapes are included as special cases.
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