Viscoelastic wave propagation in the viscoelastic single walled carbon nanotubes based on nonlocal strain gradient theory |
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| Institution: | 1. Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;2. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;3. Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt;1. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong, PR China;2. City University of Hong Kong Shenzhen Research Institute, Shenzhen 518057, PR China;3. Mechanical Engineering Department, Texas A&M University, College Station, TX 77843-3123, USA |
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| Abstract: | In this paper, the viscoelastic wave propagation in an embedded viscoelastic single-walled carbon nanotube (SWCNT) is studied based on the nonlocal strain gradient theory. The characteristic equation for the viscoelastic wave in SWCNTs is derived. The emphasis is placed on the influence of the tube diameter on the viscoelastic wave dispersion. A blocking diameter is observed, above which the wave could not propagate in SWCNTs. The results show that the blocking diameter is greatly dependent on the damping coefficient, the nonlocal and the strain gradient length scale parameters, as well as the Winkler modulus of the surrounding elastic medium. These findings may provide a prospective application of SWCNTs in nanodevices and nanocomposites. |
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| Keywords: | Viscoelastic single walled nanotube Viscoelastic wave Blocking diameter Nonlocal strain gradient theory |
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