alexa Transient Thermal Stresses in a Sphere by Local Heating
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): J B Cheung

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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.

This article was published in Journal of Applied Mechanics and referenced in Journal of Applied & Computational Mathematics

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