Vol. 8, No. 1, 2013

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ISSN: 1559-3959
Reflection of plane longitudinal waves from the stress-free boundary of a nonlocal, micropolar solid half-space

Aarti Khurana and Sushil K. Tomar

Vol. 8 (2013), No. 1, 95–107
Abstract

This work is concerned with plane waves propagating through an isotropic nonlocal micropolar solid. Two longitudinal waves and two sets of coupled transverse waves propagating with distinct speeds may travel in the medium. All these waves are found to be dispersive in nature. Reflection coefficients and energy ratios are presented for when a longitudinal displacement wave strikes at the stress-free boundary. The dispersion curves of various waves for a silicon crystal are computed numerically and depicted graphically. The effect of nonlocality on the reflection coefficients and energy ratios is observed. The energy balance law has been verified at each angle of incidence.

Keywords
nonlocal, micropolar, reflection, frequency, elastic waves
Milestones
Received: 11 September 2012
Revised: 18 October 2012
Accepted: 18 November 2012
Published: 28 March 2013
Authors
Aarti Khurana
Department of Mathematics
DAV College
Sector 10
Chandigarh 160 011
India
Sushil K. Tomar
Department of Mathematics
Panjab University
Sector 14
Chandigarh 160 014
India