On the General Solutions for Annular Problems With a Point Heat Source-Reference-Cited by-同舟云学术

On the General Solutions for Annular Problems With a Point Heat Source

Published:1999-01-29 Issue:3 Volume:67 Page:511-518
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Chao C. K.¹,Tan C. J.¹

Affiliation:

1. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43, Keelung Road, Section 4, Taipei, Taiwan 106, R.O.C.

Abstract

A general analytical solution for the annular problem with a point heat source is provided in this paper. Based upon the method of analytical continuation and the technique of Fourier series expansions, the series solutions of the temperature and stress functions are expressed in complex explicit form. Single-valuedness of complex functions in the doubly connected region has been examined for both the stress-free and displacement-free boundary conditions. The dilatation stress in the annulus due to the application of a point heat source is discussed and shown in graphic form. [S0021-8936(00)02803-8]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/67/3/511/5466406/511_1.pdf

Reference11 articles.

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3. Bowie, O. L., and Freese, C. E., 1972, “Elastic Analysis for a Radial Crack in a Circular Ring,” Eng. Fract. Mech., 4, pp. 315–321.

4. Delale, F., and Erdogan, F., 1982, “Stress Intensity Factors in a Hollow Cylinder Containing a Radial Crack,” Int. J. Fract., 20, pp. 251–265.

5. Worden, R. E., and Keer, L. M., 1991, “Green’s Functions for a Point Load and Dislocation in an Annular Region,” ASME J. Appl. Mech., 58, pp. 954–959.

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