* Corresponding author. E-mail addresses: bsinghgc11@yahoo.com (B. SIngh) © 2016 Growing Science Ltd. All rights reserved. doi: 10.5267/j.esm.2015.10.004 Engineering Solid Mechanics 4 (2016) 11-16 Contents lists available at GrowingScience Engineering Solid Mechanics homepage: www.GrowingScience.com/esm Rayleigh wave in a micropolar thermoelastic medium without energy dissipation Baljeet Singh a* , Ritu Sindhu b and Jagdish Singh b a Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India b Department of Mathematics, M.D.U. Rohtak -124001,Haryana, India A R T I C L E I N F O A B S T R A C T Article history: Received 6 April, 2015 Accepted 19 October 2015 Available online 19 October 2015 The linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the half-space of the medium. A frequency equation is obtained for Rayleigh wave in the medium. The non-dimensional speed of the propagation of Rayleigh wave is computed for a specific model of the material and are shown graphically against frequency and non-dimensional parameter. © 2016 Growing Science Ltd. All rights reserved. Keywords: Micropolar thermoelasticity Rayleigh wave Frequency equation Speed of propagation 1. Introduction The dynamical theory of thermoelasticity investigates the interaction between thermal and mechanical fields in solid bodies and plays important role in various engineering fields. The generalized theories of thermoelasticity which admit a finite speed of thermal signals (second sound) have aroused much interest during last four decades. For instance, Lord and Shulman (1967), by incorporating a flux- rate term into Fourier’s law of heat conduction, formulated a generalized theory which involves a hyperbolic heat transport equation admitting finite speed for thermal signals. Green and Lindsay (1972), by including temperature rate among the constitutive variables, developed a temperature-rate- dependent thermoelasticity that does not violate the classical Fourier law of heat conduction, when the body under consideration has a centre of symmetry and this theory also predicts a finite speed for heat propagation. Chandrasekharaiah (1986) referred to this wave-like thermal disturbance as ‘second sound’. Green and Naghdi (1977) established a new thermo-mechanical theory of deformable media that uses a general entropy balance as postulated in Green and Naghdi (1991). The theory is explained in detail in the context of flow of heat in a rigid solid, with particular reference to the propagation of themal waves at finite speed. A theory of thermoelasticity for nonpolar bodies, based on the new