Study of harmonic plane waves in rotating thermoelastic media of type III

Abstract

In the present paper we analyze the effects of rotation on the propagation of harmonic plane waves in an unbounded type III thermoelastic media rotating with a uniform angular velocity. Exact analytical solutions of the dispersion relation equations for purely shear and purely dilatational plane waves are obtained after developing the mathematical model. Special cases of very low- and high-frequency values are considered to find the asymptotic expressions of several important characterizations associated with the plane waves propagating inside the medium. Numerical values of the wave characterizations for intermediate values of frequency for varying conductivity rates and varying angles of rotation are also obtained and are plotted graphically. A detailed analysis of the effects of rotation on the propagation of plane waves is presented on the basis of our analytical and numerical results. © The Author(s) 2012.