Materials and Nanoscience, Nebraska Center for (NCMN, formerly CMRA)

 

Date of this Version

December 2006

Comments

Published in JOURNAL OF APPLIED PHYSICS 100, 124318 2006. © 2006 American Institute of Physics. Used by permission.

Abstract

Surface effect on the longitudinal and flexural wave propagation in straight nanofibers/nanowires is studied within the framework of continuum mechanics. Modified Euler-Bernoulli and Rayleigh-Love rod equations and modified Timoshenko beam equation were developed to take into account the surface effect. It was found that surface tension/stress plays appreciable influence on the wave propagation in nanofibers/nanowires at very small diameters. Wave dispersion relations were presented in closed form, and numerical calculations were performed to show the variation of the phase velocity with the wave number at varying surface property and fiber diameter. The given results can be used as the theoretical basis of dynamic characterization of nanofibers/nanowires and nanodevice design and analysis.