Thermoelastic waves without energy dissipation in an elastic plate to to a suddenly punched hole

Abstract

The linear theory of thermoelasticity without energy dissipation for isotropic and homogeneous materials is employed to study waves in an elastic plate. The waves are assumed to arise out of a ramp-type stress on the  plate’s boundary which is maintained at constant temperature. Laplace transforms are used to solve the  problem, and the distributions of displacement, temperature, radial and hoop stresses are displayed  graphically.

Keywords : Thermoelasticity, Green-Naghdi, punched hole, elastic plate.