TITLE:
Presence of Heat on an Infinite Plate with a Curvilinear Hole Having Two Poles
AUTHORS:
F. S. Bayones
KEYWORDS:
An Elastic Plate, Presence of Heat, Curvilinear Hole, Cauchey Method, Conformal Mapping
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.6,
May
28,
2015
ABSTRACT: In the present paper Cauchy integral methods have been applied to derive
exact and expressions for Goursat’s
function for the first and second fundamental problems of isotropic homogeneous
perforated infinite elastic media in the presence of uniform flow of heat. For
this, we considered the problem of a thin infinite plate of specific thickness
with a curvilinear hole where the origins lie in the hole is conformally mapped
outside a unit circle by means of a specific rational mapping. Moreover, the
three stress components σxx, σyy and σxy of the boundary value problem in
the thermoelasticity plane are obtained. Many special cases of the conformal
mapping and four applications for different cases are discussed and many main
results are derived from the work.