Thermostatics of an infinite mixture of two elastic solids and a spherical thermal inclusion problem

This work is concerned with the linear theory of a binary mixture of two elastic solids. With the help of displacement potentials, two differential equations that govern the displacement of each constituent are obtained. Then, more generalised forms of Betti's reciprocal theorem and Maysel's formula for the mixture are found. Finally, a solution of spherical thermal inclusion problem in an infinite mixture of two elastic solids is obtained by using generalised Maysel's formula and by direct integration of the governing differential equations.