Modeling of the microstructure of carbon nanotube with two nonlocal elasticity theories

Abstract

In this paper, a detailed theoretical study on the dispersion of waves in carbon nanotubes (CNTs) is presented. For this purpose, CNTs are considered as nonlocal elastic thin cylindrical shells. The Eringen’s nonlocal elasticity theory is used for modeling the microstructure of CNT such that the proximity of the mathematical model to the actual atomic structure of CNT is retained. The results are compared with the results that are obtained based on the second-order strain-gradient elasticity (SG) theory. It has been shown that the SG theory is the first approximation of nonlocal continuum elasticity (NC) theory, which is used in the present paper. Also, it has been shown that the bending rigidity has important effect in the dispersion of waves in CNTs.

Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

“…The work done by the surrounded viscoelastic medium including the viscoelastic foundation and also the nonlinear van der Waals interaction and the nonlinear electrostatic force for example for three walled piezoelectric nano-sensor (TWPENS), respectively, can be expressed as [13,22,23] (7)…”

Morphological investigation of carbon nanotube reinforced polyurethane foam to analyse its acoustical and non‐acoustical properties

“…Due to the extremely large interfacial contact area of carbon nanotube (CNT) with polymer matrix, its high aspect ratio and low mass density, and its vibrational characteristics [11][12][13][14][15][16][17][18][19] it is an adequate filler used for sound energy damping applications. Polyurethane (PU) foam as a conventional porous material performs optimum in mid-and high-frequency ranges.…”