Transient thermal stresses in anisotropic bodies with spherical symmetry

Summary The quasi-static thermo-elastic equations are solved for material which is transversely isotropic about the radius vector. The Laplace transform is used to obtain a general solution of the equations in which all quantities are assumed to depend on the radial co-ordinate and the time only. The particular problems of constant temperature suddenly applied to the surfaces of a solid sphere and a spherical cavity in an infinite solid are considered. Numerical results are presented for the second of these problems.