Abdou, M.A., Sabbah, A.S. and Ismail, A.S. (2002) An Infinite Plate with a Curvilinear Hole and Flowing Heat. Proceeding Mathematical Physics Society Egypt, 34, 15-27.

has been cited by the following article:

• TITLE: An Infinite Elastic Plate Weakened by a Generalized Curvilinear Hole and Goursat Functions

  AUTHORS: Mohamed Abdellah Abdou, Azhar Rashad Jan

  KEYWORDS: Goursat Functions; Conformal Mapping; Curvilinear Hole; Stress Components

  JOURNAL NAME: Applied Mathematics, Vol.5 No.4, March 14, 2014

  ABSTRACT: Complex variables method has been used to solve the first and second fundamental problems for an infinite plate weakened by a generalized curvilinear hole C. The curvilinear hole is conformally mapped on the domain outside or inside a unit circle γ using a general rational mapping function with complex constants. Many special and new cases are derived from this work. Some of the work of the previous authors in this domain will be considered as special cases of this paper. Also the interesting cases when the shape of the hole takes different famous shapes are included. The components of stresses for some examples are obtained.