A problem on thermoelastic interactions without energy dissipation in an unbounded medium with a spherical cavity

Abstract

The thermoelastic interactions without energy dissipation in an unbounded elastic medium with a spherical cavity have been investigated, when the cavity surface is assumed to be stress free and is subjected to a smooth and time dependent heating effect. The solutions for displacement, temperature and stresses are obtained with the help of Laplace transform procedure. The inversions are carried out with a numerical method based on Fourier series expansions of functions. Numerical values of the physical quantities are computed for the copper material and results are displayed in graphical forms to observe the nature of distributions of the field variables.