Análisis Termoelástico no Estacionario de una Confiiguración Esférica Inhomogénea con una Cavidad Concéntrica

Abstract

The problem under consideration is solved in two steps. First the unsteady temperature distribution is determined by means of a non harmonic Fourier expansion. Then the thermoelastic variables are evaluated.
When the radius of the inner contour approaches zero the eigenvalues of the solution of the unsteady diffusion equation
converge towards the values corresponding to a solid sphere when the boundary conditions in the hollow sphere are
homogeneous and of the Dirichlet type.