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

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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.

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Authors and Affiliations

  1. Department of Mechanics, College of Sciences, Northeastern University, 110819, Shenyang, China

    Yan Qing Wang & Chen Liang

  2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, 110819, Shenyang, China

    Yan Qing Wang

  3. Schaefer School of Engineering and Science, Stevens Institute of Technology, 07030, Hoboken, NJ, USA

    Jean W. Zu

Authors
  1. Yan Qing Wang
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  2. Chen Liang
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  3. Jean W. Zu
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Correspondence to Yan Qing Wang.

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Wang, Y.Q., Liang, C. & Zu, J.W. Wave propagation in functionally graded cylindrical nanoshells based on nonlocal Flügge shell theory. Eur. Phys. J. Plus 134, 233 (2019). https://doi.org/10.1140/epjp/i2019-12543-0

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  • DOI: https://doi.org/10.1140/epjp/i2019-12543-0

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