Transient Thermal Stresses on a Finite Disk Due to a Continuous Point Heat Source

[+] Author and Article Information
T. R. Hsu

Atomic Energy of Canada Ltd., Whiteshell Nuclear Research Establishment, Pinawa, Manitoba, Canada

J. Eng. Ind 92(2), 357-365 (May 01, 1970) (9 pages) doi:10.1115/1.3427741 History: Received July 25, 1969; Online July 15, 2010


This paper contains exact solutions for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a thin circular disk of finite radius subjected to a continuous point heat source acting on its periphery. It has been proven in this paper that the solutions of this type of problem may be obtained by integrating the time variable of the corresponding solutions in the case of an instantaneous point heat source. The solutions are given in the form of double infinite series and graphical representations of the solutions in dimensionless terms are included. Reference is made to methods of applying the solutions to shapes other than disks. The solutions are pertinent to problems which occur in welding engineering and modern nuclear technology.

Copyright © 1970 by ASME
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