Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. G. Nikolacv and E. P. Tomilova, Certain Stationary Axisymmetric Thermoelasticity Problems for a Half-Space with a Spherical Cavity, No. 7062-V88, Dep. at VINITI on 21.09.1988, Khar'kov (1988).
S. S. Kurennov and A. G. Nikolaev, A First Axisymmetric Problem for a Sphere with a Compressed Spherical Cavity, Probl. Mashinostr., 5,No. 3, 57–63 (2002).
V. T. Erofeenko, Theorems of Summation: Handbook [in Russian], Nauka i Tekhnika, Minsk (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nikolaev, A.G., Kurennov, S.S. The Nonaxisymmetric Contact Thermoelastic Problem for a Half‐Space with a Motionless Rigid Spherical Inclusion. Journal of Engineering Physics and Thermophysics 77, 209–215 (2004). https://doi.org/10.1023/B:JOEP.0000020741.03468.6e
Issue Date:
DOI: https://doi.org/10.1023/B:JOEP.0000020741.03468.6e