tailieunhanh - Rayleigh wave in a micropolar thermoelastic medium without energy dissipation

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. | Rayleigh wave in a micropolar thermoelastic medium without energy dissipation Engineering Solid Mechanics 4 2016 11-16 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Rayleigh wave in a micropolar thermoelastic medium without energy dissipation Baljeet Singha Ritu Sindhub and Jagdish Singhb a Department of Mathematics Post Graduate Government College Sector-11 Chandigarh - 160 011 India b Department of Mathematics . Rohtak -124001 Haryana India ARTICLE INFO ABSTRACT Article history The linear governing equations of a micropolar thermoelastic medium without energy Received 6 April 2015 dissipation are solved for surface wave solutions. The appropriate solutions satisfying the Accepted 19 October 2015 radiation conditions are applied to the required boundary conditions at the free surface of the Available online half-space of the medium. A frequency equation is obtained for Rayleigh wave in the medium. 19 October 2015 Keywords The non-dimensional speed of the propagation of Rayleigh wave is computed for a specific Micropolar thermoelasticity model of the material and are shown graphically against frequency and non-dimensional Rayleigh wave parameter. Frequency equation Speed of propagation 2016 Growing Science Ltd. All rights reserved. 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 .

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