Fundamental Problems for Infinite Plate with a Curvilinear Hole Having Finite Poles

M. A. ABDOU ； A. A. EL-BARY

《Mathematical Problems in Engineering》 2001卷 (2001/12) Pp. 485-501

https://doi.org/10.1155/S1024123X01001740

摘要

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.

關鍵字

Fundamental problem ； An infinite plate ； Complex variable method ； Rational mapping