Abstract
This paper covered the study of the boundary value problem for isotropic homogeneous perforated infinite elastic media. For this, we considered the problem of a thin infinite plate of specific thickness with a curvilinear hole where the origin lie outside the hole is conformally mapped outside a unit circle by means of a specific rational mapping . The complex variable method has been applied and it transforms the problem to the integrodifferential equation with Cauchy kernel that can be solved to find two complex potential functions which called Gaursat functions. Many special cases are discussed and established of these functions .Also, many applications and examples are considered. Moreover the components of stress , in each application , are computed.
Highlights
1- INTRODUCTION : Problems dealing with isotropic homogeneous perforated infinite plate have been investigated by several authors
Some author used Laurent's theorem to express each complex potential as a power series [1,2,3,4]
Several authors wrote about the boundary value problems and their applications in many different sciences, see Gak-hov [5], Ciarlet et al.[6], Zebib[7] and Saito and Yamamto[8]
Summary
Problems dealing with isotropic homogeneous perforated infinite plate have been investigated by several authors. Several authors wrote about the boundary value problems and their applications in many different sciences, see Gak-hov [5], Ciarlet et al.[6], Zebib[7] and Saito and Yamamto[8]. From these problems, we established contact problems and mixed problems in the theory of elasticity , see Colton and Kress[9], and Abdou[10]. M. Alharbi [14] ,Complex variable method is used to express the solutions of these problems in the form of power series by applied Laurant's theorem. Some problems discussed the solution under presence of heat [15,16]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
