Reflection and Transmission at the Boundary of Two Couple Stress Generalized Thermoelastic Solids

Subject Areas : Engineering

R Kumar ¹ , K Kumar ² , R.C Nautiyal ³

1 - Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119, India
2 - Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India
3 - Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India

Received: 2015-09-23 Accepted : 2015-12-10 Published : 2016-03-30

Keywords: Amplitude ratios, Reflection, Longitudinal wave, Transmission, Couple stress thermoelastic solid, Transverse wave,

Abstract :

In this paper the reflection and transmission at a plane interface between two different couple stress generalized thermoelastic solid half spaces in context of Loard-Shulman(LS)[1967] and Green-Lindsay(GL)[1972] theories in welded contact has been investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.

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