Table of Contents
Journal of Nanoscience
Volume 2014, Article ID 513010, 8 pages
http://dx.doi.org/10.1155/2014/513010
Research Article

Small-Scale Effect on Longitudinal Wave Propagation in Laser-Excited Plates

Institute on Laser and Information Technologies, Russian Academy of Sciences, Moscow 140700, Russia

Received 29 June 2014; Revised 5 October 2014; Accepted 6 October 2014; Published 21 October 2014

Academic Editor: Ana Benito

Copyright © 2014 F. Kh. Mirzade. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Longitudinal wave propagation in an elastic isotopic laser-excited solid plate with atomic defect (vacancies, interstitials) generation is studied by the nonlocal continuum model. The nonlocal differential constitutive equations of Eringen are used in the formulations. The coupled governing equations for the dynamic of elastic displacement and atomic defect concentration fields are obtained. The frequency equations for the symmetrical and antisymmetrical motions of the plate are found and discussed. Explicit expressions for different characteristics of waves like phase velocity and attenuation (amplification) coefficients are derived. It is shown that coupling between the displacement and defect concentration fields affects the wave dispersion characteristics in the nonlocal elasticity. The dispersion curves of the elastic-diffusion instability are investigated for different pump parameters and larger wave numbers.