Advances in nano research

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Elastic wave phenomenon of nanobeams including thickness stretching effect

  • Eyvazian, Arameh (Structural Vibration Control Group, Qingdao University of Technology) ;
  • Zhang, Chunwei (Structural Vibration Control Group, Qingdao University of Technology) ;
  • Musharavati, Farayi (Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University) ;
  • Khan, Afrasyab (Institute of Engineering and Technology, Department of Hydraulics and Hydraulic and Pneumatic Systems, South Ural State University) ;
  • Mohamed, Abdeliazim Mustafa (Department of Civil Engineering, College of Engineering, Prince Sattam bin Abdulaziz University)
  • Received : 2020.09.08
  • Accepted : 2020.11.08
  • Published : 2021.03.25
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Abstract

The present work deals with an investigation on longitudinal wave propagation in nanobeams made of graphene sheets, for the first time. The nanobeam is modelled via a higher-order shear deformation theory accounts for both higher-order and thickness stretching terms. The general nonlocal strain gradient theory including nonlocality and strain gradient characteristics of size-dependency in order is used to examine the small-scale effects. This model has three-small scale coefficients in which two of them are for nonlocality and one of them applied for gradient effects. Hamilton supposition is applied to obtain the governing motion equation which is solved using a harmonic solution procedure. It is indicated that the longitudinal wave characteristics of the nanobeams are significantly influenced by the nonlocal parameters and strain gradient parameter. It is shown that higher nonlocal parameter is more efficient than lower nonlocal parameter to change longitudinal phase velocities, while the strain gradient parameter is the determining factor for their efficiency on the results.

Keywords

Acknowledgement

The research is financially supported by the first-class discipline project funded by the Education Department of Shandong Province and the Taishan Scholar Priority Discipline Talent Group program funded by the Government of Shandong Province.

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