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Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation

Published online by Cambridge University Press:  17 February 2009

Baljeet Singh
Baljeet Singh
Affiliation:
Department of Mathematics, Government College, Sector-11, Chandigarh 160 011, India; e-mail: baljeet@networkindia.net.
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Abstract

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The linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved to show the existence of four plane waves in a two-dimensional model. The expressions for velocities of these plane waves are obtained. The boundary conditions at the free surface are used to obtain a system of four nonhomogeneous equations. These equations are solved numerically for a particular model to obtain reflection coefficients for the incidence of coupled longitudinal displacement and coupled transverse microrotational waves. These reflection coefficients as well as the energy ratios are computed and are shown graphically with the angle of incidence in the presence and absence of thermal effects.

Keywords

micropolar thermoelasticityreflection coefficientsenergy ratios.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 3 , January 2007, pp. 433 - 447
Copyright
Copyright © Australian Mathematical Society 2007

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