Eur. Phys. J. Plus (2019) 134: 233
https://doi.org/10.1140/epjp/i2019-12543-0

Regular Article

Wave propagation in functionally graded cylindrical nanoshells based on nonlocal Flügge shell theory

¹ Department of Mechanics, College of Sciences, Northeastern University, 110819, Shenyang, China
² Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, 110819, Shenyang, China
³ Schaefer School of Engineering and Science, Stevens Institute of Technology, 07030, Hoboken, NJ, USA

^* e-mail: wangyanqing@mail.neu.edu.cn

Received: 29 October 2018
Accepted: 28 January 2019
Published online: 27 May 2019

Abstract

In the present work, wave propagation characteristics of circular cylindrical nanoshells made of functionally graded materials are investigated. Material properties of the nanoshells are graded in the thickness direction according to the power-law distribution. The Flügge shell theory together with the nonlocal elasticity theory is employed to model the present system. The wave dispersion relations with respect to the wave number in the longitudinal and circumferential directions are derived. In addition, a parametric study is carried out to highlight the influences of the power-law exponent, the wave number, the nonlocal parameter and the radius-to-thickness ratio. The results indicate that these parameters have a significant effect on the wave propagation characteristics of functionally graded material (FGM) cylindrical nanoshells.