Radially symmetric thermo-elastic wave propagation without energy dissipation in an infinitely extended thin plate with a circular hole

In this article a model of the linear thermo-elastic theory without energy dissipation is employed to study radially symmetric thermo-elastic wave propagation in an infinitely extended thin plate with a circular hole when the inner boundary of the hole is subjected to (i) zero stress and a step-input of temperature rise and (ii) a step-input of stress and zero temperature change. The analytical expressions for short-time solutions for displacement, temperature and stresses are derived. The results derived are compared with earlier results derived by using other generalized thermo-elasticity theories. Numerical results applicable to a copper-like material are presented to illustrate the analytical result.