#### Vol. 7, No. 2, 2012

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Reflection of $P$ and $SV$ waves from the free surface of a two-temperature thermoelastic solid half-space

### Baljeet Singh and Kiran Bala

Vol. 7 (2012), No. 2, 183–193
##### Abstract

The present paper is concerned with the propagation of plane waves in an isotropic generalized thermoelastic solid half-space with two temperatures. The governing equations are modified in the context of the Lord–Shulman theory of generalized thermoelasticity and are solved to show the existence of three plane waves, namely, $P$, thermal, and $SV$ waves in the $x$-$z$ plane. The reflection of the $P$ and $SV$ waves from a thermally insulated free surface is studied to obtain the reflection coefficients in closed form. For numerical computations of the speeds and reflection coefficients, a particular material is chosen. The speeds of the plane waves are shown graphically against the two-temperature parameter. The reflection coefficients are also shown graphically against the angle of incidence for different values of the two-temperature parameter.

##### Keywords
two-temperature parameter, generalized thermoelasticity, plane waves, reflection coefficients
##### Milestones
Received: 9 July 2011
Revised: 14 August 2011
Accepted: 23 September 2011
Published: 6 May 2012
##### Authors
 Baljeet Singh Department of Mathematics Postgraduate Government College Sector 11 Chandigarh 160011 India Kiran Bala Department of Mathematics Government College Barwala, Panchkula Haryana India