Surface stress effects on the nonlinear postbuckling characteristics of geometrically imperfect cylindrical nanoshells subjected to torsional load

Sahmani, S.; Bahrami, Mohsen; Aghdam, M.M.

doi:10.1016/j.compositesb.2015.08.076

Cited by 24 publications

(3 citation statements)

References 64 publications

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“…The effects of the direction of the FG nanotube, nonlocal parameter, and size-dependency were evaluated. Sahmani et al [63] devoted their research to analyze the nonlinear torsional buckling and post-buckling of the geometrically imperfect nanoshells under the torsional force considering the surface effect based on the Gurtin-Murdoch elasticity and classical shell theories as well as the von Karman-Donnell-type model. Arda and Aydogdu [64] studied the torsional statics and dynamics of carbon nanotubes embedded in an elastic medium based on the nonlocal elasticity theory.…”

Section: Torsional Vibrationmentioning

confidence: 99%

Effect of External Moving Torque on Dynamic Stability of Carbon Nanotube

Hosseini

Khosravi

Ghadiri

2020

JNanoR

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In nano-dimension, the strength of the material is considerable, and the failure is unavoidable in a torsional mode. Because of this reason, the free and forced torsional vibrations of single-walled carbon nanotube (SWCNT) are investigated in this paper. For dynamic analysis, the moving harmonic torsional load is exerted to SWCNT. The related boundary condition and equation of motion are derived by Hamilton’s principle, and the equation is discretized by the Galerkin method. In order to demonstrate the nonlocality and small–scale effect, Eringen’s theory based on nonlocal elasticity theory is applied. A clamped-clamped (C-C) boundary condition is fitted for the end supports. The influences of the aspect ratio and mode number on the free natural frequency are investigated. Furthermore, the dynamic effects of nonlocal parameter, velocity, thickness, length, and excitation-to-natural frequencies on dimensional and nondimensional angular displacements are indicated. Moreover, the natural frequency was investigated due to the variation of the aspect ratio.

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Section: Torsional Vibrationmentioning

confidence: 99%

Effect of External Moving Torque on Dynamic Stability of Carbon Nanotube

Hosseini

Khosravi

Ghadiri

2020

JNanoR

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“…Size-dependent shell models have been recently applied for analysing the mechanics of CNTs [300][301][302], BNNTs [303], piezoelectric nanotubes [304,305] and magneto-electro-elastic nanotubes [306,307]. To modify the traditional shell theories for capturing size influences, 30 various modified theories including the NET [300,301,308], the surface elasticity [309,310] and the NSGT [311,312] can be used. The NET can predict the stiffness softening while the surface elasticity with positive surface properties can account for the stiffness hardening.…”

Section: 5b Size-dependent Mechanics Of Nanoshellsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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Understanding the mechanical behaviour of nanostructures is of great importance due to their applications in nanodevices such as in nanomechanical resonators, nanoscale mass sensors, electromechanical nanoactuators and nanogenerators. Due to the difficulties of performing accurate experimental measurements at nanoscales and the high computational costs associated with the molecular dynamics simulations, the continuum modelling of nanostructures has attracted a considerable amount of attention. Since size influences have a crucial role in the mechanics of structures at nanoscale levels, classical continuum-based theories have been modified to incorporate these effects. Among various modified continuum-based theories, the nonlocal elasticity and the nonlocal strain gradient elasticity have been employed to estimate the mechanical behaviour of nanostructures. In this review paper, first these two modified elasticity theories are briefly explained. Then, the nonlocal motion equations for different nanostructures including nanorods, nanorings, nanobeams, nanoplates and nanoshells are derived. Several papers which reported on the size-dependent mechanical behaviour of nanostructures using modified continuum models are reviewed. Furthermore, important results reported on the vibration, bending and buckling of nanostructures as well as the results of size-dependent wave propagation analyses are discussed.

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“…The use of various unconventional continuum elasticity theories has led to a better understanding of the sizedependent dynamic responses of FG piezoelectric energy harvesters that allow researchers to optimize the performance of these MEMS by considering nonlocal stress field as well as strain gradients stress field. 36 Sahmani et al [37][38][39] and Ansari et al 40,41 developed non-classical plate and shell models based upon the surface elasticity theory to analyze size-dependent postbuckling behavior of nanoplates and nanoshells. Rabczuk et al 42 and Ren et al 43 introduced a nonlocal operator method to solve partial differential equations associated with mechanical responses of nanostructures.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal strain gradient‐based nonlinear dynamics of sinusoidal impulsive actuated porous/piezoelectric multilayer energy nanoharvesters

Fan,

Sahmani,

Safaei

2023

Polymer Composites

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The applications of nanoelectromechanical systems integrating simultaneously the mechanical and electrical functionalities at nanoscale have been gotten wider in the last decade. The main objective of this exploration is to analyze the small scale‐dependent nonlinear dynamical feedback of multilayer energy nanoharvesters containing a graded porous passive core coated by piezoelectric facesheets under a sinusoidal impulsive external actuation. For this purpose, the technique of meshless collocation is constructed at the same time the nonlocal stress and strain gradient tensors without any necessary background meshes and integration procedure. It is found that by taking the nonlocal stress tensor into account, the average of extremum points of maximum lateral deflection increases from to , and from to for simply supported and clamped multilayer nanoharvesters, respectively. On the contrary, through considering the strain gradient tensor, the average of extremum values of the maximum lateral deflection reduces from to for the simply supported nanoharvester, and from to for the clamped one.Highlights Development a third‐order shear flexible nonlocal strain gradient (NSG)‐based plate‐type nanoharvester model Incorporating the role of nonlocal stress and strain gradient tensors in nonlinear dynamics of nanoharvesters Time‐histories of achieved voltage of sinusoidal impulsive loaded plate‐type nanoharvesters Influence of porosity on the NSG‐based nonlinear dynamic performance.

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Surface stress effects on the nonlinear postbuckling characteristics of geometrically imperfect cylindrical nanoshells subjected to torsional load

Cited by 24 publications

References 64 publications

Effect of External Moving Torque on Dynamic Stability of Carbon Nanotube

Effect of External Moving Torque on Dynamic Stability of Carbon Nanotube

A review on the mechanics of nanostructures

Nonlocal strain gradient‐based nonlinear dynamics of sinusoidal impulsive actuated porous/piezoelectric multilayer energy nanoharvesters

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