ON BONDED CIRCULAR INCLUSIONS IN PLANE THERMOELASTICITY

A general solution to the thermoelastic problem of a circular inhomoge neity in an infinite matrix is provided. The thermal loadings consider ed in this note include a point heal source located either in the matr ix or in the inclusion and a uniform hear flow applied at infinity. Th e proposed analysis is based upon the use of Laurent series expansion of the corresponding complex potentials and the method of analytical c ontinuation. The general expressions of the temperature and stress fun ctions are derived explicitly in both the inclusion and the surroundin g matrix. Comparison is made with some special cases such as a circula r hole under remote uniform heat flow and a circular disk under a poin t heat source, which shows that the results presented here are exact a nd general.