Analytical solutions for thermoelastic stress-focusing in cylindrical and spherical solids

Dutta, S and Jog, CS (2024) Analytical solutions for thermoelastic stress-focusing in cylindrical and spherical solids. In: International Journal of Engineering Science, 205 .

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Abstract

This work deals with finding the analytical displacements and stresses in thermoelasticity problems involving solid isotropic cylinders and spheres with an emphasis on stress-focusing phenomena relevant to the nuclear industry and high-temperature engineering. The study considers solid spheres and infinitely long solid cylinders with three different types of thermal loading: prescribed outer surface temperature, prescribed surface heat flux, and volumetric heat source. Both continuous and discontinuous thermal loading conditions are considered. It is shown that discontinuous loading, such as abrupt changes in prescribed surface temperature or heat flux prescriptions, results in unbounded stresses along the axis (in the case of an infinite cylinder) and the center (in the case of a solid sphere), while with continuous loading, we obtain finite stresses within the domains at all times. © 2024 Elsevier Ltd

Item Type:	Journal Article
Publication:	International Journal of Engineering Science
Publisher:	Elsevier Ltd
Additional Information:	The copyright for this article belongs to the publishers.
Keywords:	High temperature engineering; Inverse transforms; Laplace equation; Laplace transforms; Nuclear industry; Surface properties; Thermal Engineering, Analytical solution; Displacement and stress; Inverse Laplace transform; Isotropic cylinders; Isotropic spheres; Linear thermoelasticity; Solid spheres; Stress focusing; Thermal loadings; Thermoelastic stress, Spheres
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	30 Oct 2024 05:04
Last Modified:	30 Oct 2024 05:04
URI:	http://eprints.iisc.ac.in/id/eprint/86586

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