High-frequency antiplane wave propagation in ultra-thin films with nanostructures

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Huang, G. L.^1,2  Song, F.² 

[1] Univ Arkansas, Dept Syst Engn, Little Rock, AR 72204 USA

[2] Univ Arkansas, Dept Appl Sci, Little Rock, AR 72204 USA

关键词: continuum model;    wave propagation;    ultra-thin films;    nanostructural effects;   

DOI  :  10.1016/j.ijsolstr.2008.05.033

来源: Elsevier

【 摘 要 】

Ultrasonic wave propagation is one of powerful and popular methods for measuring mechanical properties of solids even at nano scales. The extraction of material constants from the measured wave data may not be accurate and reliable when waves of short wavelengths are used. The objective of this paper is to study the high-frequency antiplane wave propagation in ultra-thin films at nanoscale. A developed continuum microstructure theory will be used to capture the effect of nanostructures in ultra-thin films. This continuum theory is developed from assumed displacement fields for nanostructures. Local kinematic variables are introduced to express these local displacements and are subjected to internal continuity conditions. The accuracy of the theory is verified by comparing the results with those of the lattice model for the antiplane problem in an infinite elastic medium. Specifically, dispersion curves and corresponding displacement fields for antiplane wave propagation in the ultra-thin films are studied. The inadequacy of the conventional continuum theory is discussed. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

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