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Generalized Thermoelasticity Plane Waves in Rotating Media with Thermal Relaxation under the Temperature Dependent Properties

Othman M. I. A.

Mechanics and Mechanical Engineering

2005

Vol. 9, nr 2

89--110

A two-dimensional coupled problem in generalized thermoelasticity for rotating media under the temperature dependent properties is studied. The problem is in the context of the Lord-Shulman's theory with one relaxation time. The normal mode analysis is used to obtain the expressions for the temperature distribution, displacement components and thermal stresses. The resulting formulation is applied to two different problems. The first concerns the case of a heat punch moving across the surface of a semi-infinite thermoelastic half-space subjected to appropriate boundary conditions. The second deals with a thick plate subject to a time-dependent heat source on each face. Numerical results are illustrated graphically for each problem considered. Comparisons are made with the results obtained predicted by the two theories in case of absence of rotation.

On the dynamic responses with and without energy dissipation in the thermoelastic rotating media

Verma K. L., Hasebe N.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 4

1329-1348

The generalized dynamical theories of thermoelasticity with and without energy dissipation are applied to study the propagation of thermoelastic waves in an infinite, homogenous, isotropic medium rotating uniformly with constant angular velocity. A generalized characteristic equation is derived to investigate the effects of rotation, the relaxation time constants and thermomechanical coupling on the dispersion behavior of thermoelastic waves. Results of earlier works are deduced as particular cases of the more general results obtained here.