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Purpose The purpose of this paper is to study the effects of rotation, voids and diffusion on characteristics of plane waves in a thermoelastic material. Design/methodology/approach Lord and Shulman generalization of linear thermoelasticity is used to study the plane waves in a rotating thermoelastic material with voids and diffusion. The thermoelastic solid is rotating with a uniform angular velocity. The problem is specialized in two dimensions to study wave propagation. The plane harmonic solutions of governing field equations in a plane are obtained. Findings A velocity equation is obtained which indicates the propagation of five coupled plane waves in the medium. Reflection of an incident plane wave from stress-free surface of a half-space is also considered to obtain the amplitude ratios of various reflected waves. A numerical example is considered to illustrate graphically the effects of rotation, frequency, void and diffusion parameters on speeds and amplitude ratios of plane waves. Originality/value The present problem covers the combined effects of rotation, voids and diffusion on characteristics of plane waves in linear thermoelastic material in the context of Lord and Shulman (1967) and Aouadi (2010) theories, which are not studied in literature yet.

PurposeThe purpose of this paper is to analyze the propagation characteristics of the Rayleigh-type surface wave in a thermally conducting mixture of an elastic solid and a Newtonian fluid by applying the mixture theory.Design/methodology/approachThe governing equations are formulated in context of both Green–Lindsay (G-L) and Lord–Shulman (L-S) theories of generalized thermoelasticity. The specialized governing equations in a plane are solved by using the traditional approach, and a dispersion equation of the Rayleigh surface wave is obtained.FindingsA program in MATLAB software is developed to solve the dispersion equation. The numerical results demonstrate a significant dependence of the wave speed and the attenuation coefficient of the Rayleigh wave on the frequency and porosity.Originality/valueThe problem considered on Rayleigh wave on the surface of a half-space containing a thermally conducting mixture is not studied in the literature yet. The theoretical and numerical findings of the study will guide the experimental scientists while finding applications in various engineering fields.