Small-Scale Effect on Longitudinal Wave Propagation in Laser-Excited Plates
Author(s) -
F. Kh. Mirzade
Publication year - 2014
Publication title -
journal of nanoscience
Language(s) - English
Resource type - Journals
eISSN - 2356-749X
pISSN - 2314-6931
DOI - 10.1155/2014/513010
Subject(s) - excited state , attenuation , physics , mechanics , wave propagation , phase velocity , elasticity (physics) , longitudinal wave , laser , multiple scale analysis , dispersion (optics) , classical mechanics , displacement (psychology) , dispersion relation , optics , materials science , amplitude , atomic physics , thermodynamics , psychology , psychotherapist
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
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