Transient Thermal Stresses in a Sphere by Local Heating

[+] Author and Article Information
J. B. Cheung

Twin Cities Mining Research Center, U. S. Bureau of Mines, Twin Cities, Minn.

T. S. Chen

Department of Mechanical and Aerospace Engineering, University of Missouri-Rolla, Rolla, Mo.

K. Thirumalai

Mining Enforcement and Safety Administration, Washington, D. C.

J. Appl. Mech 41(4), 930-934 (Dec 01, 1974) (5 pages) doi:10.1115/1.3423485 History: Received February 01, 1973; Online July 12, 2010


The problem of transient thermal stresses in a solid, elastic, homogeneous, and isotropic sphere is solved for uniform and nonuniform, local surface heating. The temperature solutions are obtained by using separation of variables and integral transformation. The corresponding thermal stresses are derived by superposing a particular displacement potential function on Boussinesq solutions. Numerical solutions for two particular cases of localized heating of a typical brittle spherical solid have been obtained and presented. The results indicate a tensile stress concentration in the interior of the solid below the heated zone.

Copyright © 1974 by ASME
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