THE NONAXISYMMETRIC CONTACT THERMOELASTIC PROBLEM 
FOR A HALF-SPACE WITH A MOTIONLESS RIGID SPHERICAL INCLUSION

A. G. Nikolaev and S. S. Kurennov

UDC 539.3

Based on the generalized Fourier method used simultaneously 
in the spherical and cylindrical systems of coordinates, we suggested 
an analytical method for solving the contact problem of thermoelasticity 
for an elastic half-space with a rigid spherical inclusion. The problem 
is reduced to an infinite system of linear algebraic equations with 
the Fredholm operator provided that the boundary surfaces do not intersect. 
An approximate solution of the system in the form of a series with 
respect to a small parameter is obtained. The numerical analysis of 
the problem is presented.

N. E. Zhukovskii National Aerospace University, 17 Chkalov Str., 
Khar'kov, Ukraine; email: sergius@xai.edu.ua. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 1, pp. 171-176, 
January-February, 2004. Original article submitted January 13, 
2003.