On the general solutions for annular problems with a point heat source

A general analytical solution for the annular problem with a point heat sou rce is provided in this paper. Based upon the method of analytical continua tion and the technique of Fourier series expansions. the series solutions o f the temperature find stress functions are expressed in complex explicit f orm. Single-valuedness of complex functions in the doubly connected region has been examined for both the stress-free and displacement-free boundary c onditions. The dilatation stress in the annulus due to the application of a point hear source is discussed and shown in graphic form.