Viscoelastic wave propagation in the viscoelastic single walled carbon nanotubes based on nonlocal strain gradient theory

2016 ◽  
Vol 84 ◽  
pp. 202-208 ◽  
Author(s):  
Yugang Tang ◽  
Ying Liu ◽  
Dong Zhao
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Strain Gradient ◽  
Single Walled Carbon Nanotubes ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Viscoelastic Wave Propagation ◽  
Viscoelastic Wave ◽  
Walled Carbon Nanotubes ◽  
Nonlocal Strain Gradient

Effect of van der Waals force on wave propagation in viscoelastic double-walled carbon nanotubes

2018 ◽  
Vol 32 (24) ◽  
pp. 1850291
Author(s):  
Yugang Tang ◽  
Ying Liu
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Van Der Waals ◽  
Van Der Waals Force ◽  
Strain Gradient Theory ◽  
Flexural Wave ◽  
Gradient Theory ◽  
Beam Model ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

In this paper, the influence of van der Waals force on the wave propagation in viscoelastic double-walled carbon nanotubes (DWCNTs) is investigated. The governing equations of wave motion are derived based on the nonlocal strain gradient theory and double-walled Timoshenko beam model. The effects of viscosity, van der Waals force, as well as size effects on the wave propagation in DWCNTs are clarified. The results show that effects of van der Waals force on waves in inner and outer layers of DWCNTs are different. Flexural wave (FW) in outer layer and shear wave (SW) in inner layer are sensitive to van der Waals force, and display new phenomena. This new finding may provide some useful guidance in the acoustic design of nanostructures with DWCNTs as basic elements.

The Nonlocal Strain Gradient Theory for Hygrothermo-Electromagnetic Effects on Buckling, Vibration and Wave Propagation in Piezoelectromagnetic Nanoplates

2019 ◽  
Vol 11 (07) ◽  
pp. 1950067 ◽  
Author(s):  
Mohammad Alakel Abazid
Keyword(s):  
Wave Propagation ◽  
Strain Gradient ◽  
Nonlocal Parameter ◽  
Thermal Buckling ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Elastic Substrate ◽  
Nonlocal Strain Gradient Theory ◽  
Electromagnetic Effects ◽  
Nonlocal Strain Gradient

A nonlocal strain gradient theory (NSGT) is utilized to investigate the thermal buckling, free vibration and wave propagation in smart piezoelectromagnetic nanoplates in hygrothermal environments embedded in an elastic substrate. The main advantage of the NSGT over other continuum theories is that it contains both nonlocal parameter and material length scale parameter. The elastic substrate is modeled as Pasternak foundation model. According to the NSGT and the sinusoidal two-variable shear deformation plate theory, the governing equations of motion are derived involving the material parameters and hygrothermo-electromagnetic effects. The present solutions are checked through comparisons with those presented in the literature. Numerical results show the impacts of the nonlocal and gradient parameters, side-to-thickness ratio, hygrothermo-electromagnetic loads and substrate stiffness on the thermal buckling, frequencies and wave propagation in the smart nanoplates.

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