Interaction of thermal and mechanical waves in axisymmetric generalized thermoelasticity of rotating disk

Abstract

This study proposes a numerical solution for the coupled thermomechanical response of a rotating annular disk which is subjected to the combined action of thermal and mechanical loads. The annular disk is isotropic and homogeneous with constant thickness. With the aid of the generalized thermoelasticity theory of Lord and Shulman, which includes one relaxation time and avoids the propagation on thermal waves with infinite speed, the energy and motion equations of the disk are extracted. These equations are then transformed to a dimensionless presentation. The developed governing equations are discretized by means of the generalized differential quadrature method. The time-dependent coupled system of equations are traced in time with the aid of the Newmark time marching scheme. Numerical results are given to explore the effect of rotating speed on propagation of temperature, radial displacement and stress waves. It is shown that magnitude of displacement and stress waves is highly dependent to rotation speed, however the magnitude of temperature wave seems to be independent of rotating speed.

Keywords:

• Lord–Shulman theory
• generalized thermoelasticity
• annular disk
• GDQ method

Disclosure statement

No potential conflict of interest was reported by the authors.