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]

Issue Section:
Technical Papers
Keywords:
Fourier series, boundary-value problems, thermal stresses, temperature distribution, heat conduction, thermoelasticity
Topics:
Annulus, Boundary-value problems, Displacement, Fourier series, Heat, Stress, Temperature, Temperature distribution, Thermal stresses
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