Abstract
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. © 1974 by ASME.
Recommended Citation
J. B. Cheung et al., "Transient Thermal Stresses In A Sphere By Local Heating," Journal of Applied Mechanics, Transactions ASME, vol. 41, no. 4, pp. 930 - 934, American Society of Mechanical Engineers, Jan 1974.
The definitive version is available at https://doi.org/10.1115/1.3423485
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
1528-9036; 0021-8936
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Society of Mechanical Engineers, All rights reserved.
Publication Date
01 Jan 1974
