Vol. 9, No. 2, 2014

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ISSN: 1559-3959
Plane waves at the boundary of two micropolar thermoelastic solids with distinct conductive and thermodynamic temperatures

Rajneesh Kumar, Mandeep Kaur and Satish C. Rajvanshi

Vol. 9 (2014), No. 2, 121–148
Abstract

The present investigation is concerned with wave propagation at an interface of two different micropolar thermoelastic solid half-spaces with distinct conductive and thermodynamic temperatures. Reflection and transmission phenomena of plane waves impinging obliquely at a plane interface between two different micropolar thermoelastic solid half-spaces with two temperatures are investigated. The incident wave is assumed to be striking at the plane interface after propagating through one of the micropolar generalized thermoelastic solids with two temperatures. Amplitude ratios of the various reflected and transmitted waves are obtained in closed form and it is found that these are functions of the angle of incidence and frequency, and are affected by the elastic properties of the media. Micropolarity and two-temperature effects are shown on these amplitude ratios for a specific model. Results of some earlier workers have also been deduced from the present investigation.

Keywords
micropolar thermoelastic solid, conductive and thermodynamic temperatures, elastic waves, reflection coefficient, transmission coefficient
Mathematical Subject Classification 2010
Primary: 74A10, 74J05
Milestones
Received: 14 May 2013
Accepted: 26 December 2013
Published: 30 May 2014
Authors
Rajneesh Kumar
Department of Mathematics
Kurukshetra University
Kurukshetra
Haryana 136119
India
Mandeep Kaur
Department of Applied Sciences
Guru Nanak Dev Engineering College
Ludhiana
Punjab 141008
India
Satish C. Rajvanshi
Department of Applied Sciences
Gurukul Vidyapeeth, Institute of Engineering and Technology
Sector-7, Banur
District Patiala
Punjab 140601
India