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On Rayleigh Wave in Two-Temperature Generalized Thermoelastic Medium without Energy Dissipation

Applied Mathematics 2013年第1期4卷 107-112页

作者： Baljeet Singh kiran bala Department of Mathematics Government College Haryana India& Research Scholar in Mathematics Singhania University Rajasthan India Department of Mathematics Post Graduate Government College Chandigarh India

In this paper, Rayleigh surface wave is studied at a stress free thermally insulated surface of a two-temperature thermoelastic solid half-space in absence of energy dissipation. The governing equations of two-temperature generalized thermoelastic medium without energy dissipation are solved for surface wave solutions. The appropriate particular solutions are applied to the required boundary conditions to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The non-dimensional speed is computed numerically and shown graphically to show the dependence on the frequency and two-temperature parameter.

关键词： Two-Temperature Generalized Thermoelasticity Rayleigh Wave Energy Dissipation

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Propagation of Waves in a Two-Temperature Rotating Thermoelastic Solid Half-Space without Energy Dissipation

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Applied Mathematics 2012年第12期3卷 1903-1909页

作者： Baljeet Singh kiran bala Department of Mathematics Government College Barwala India&Department of Mathematics Singhania University Rajasthan India Department of Mathematics Post Graduate Government College Chandigarh India

The present paper is concerned with the propagation of plane waves in an isotropic two-temperature generalized thermoelastic solid half-space in context of Green and Naghdi theory of type II (without energy dissipation). The governing equations in x – z plane are solved to show the existence of three coupled plane waves. The reflection of plane waves from a thermally insulated free surface is considered to obtain the relations between the reflection coefficients. A particular example of the half-space is chosen for numerical computations of the speeds and reflection coefficients of plane waves. Effects of two-temperature and rotation parameters on the speeds and the reflection coefficients of plane waves are shown graphically.

关键词： Two-Temperature Generalized Thermoelasticity Reflection Reflection Coefficients Energy Dissipation Rotation

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