On nonlinear behavior and buckling of fluid-transporting nanotubes

Dai, Huliang; Wang, Lin; Abdelkefi, A.; Ni, Qiao

doi:10.1016/j.ijengsci.2014.11.005

Cited by 46 publications

(9 citation statements)

References 32 publications

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“…Due to excellent characteristics of ceramics in heat and corrosive resistances combined with the toughness of metals, and the material properties vary continuously from one surface to another, the inter-laminar stresses at the interface would vanish. Recently, FGMs have been applied in micro-and nano-scale devices and systems, such as thin films [3,4], atomic force micro-scopes (AFMS) [5,6], micro-and nano-electromechanical systems (MEMS and NEMS) [7][8][9], and bio-mass sensing applications [10].…”

Section: Introductionmentioning

confidence: 99%

A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory

Lei

Zhang

et al. 2015

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory

Lei

Zhang

et al. 2015

International Journal of Mechanical Sciences

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“…The post-buckling analysis of nanoscale beams has been the focus of many studies in the literature [151][152][153]. For example, Setoodeh et al [154] determined exact analytical solutions for the post-buckling of SWCNTs within the framework of the nonlocal elasticity as well as the Euler-Bernoulli beam theory; the nonlinearity related to the stretching of the mid-plane is more profound for higher modes.…”

Section: 3c Size-dependent Buckling Of Nanobeamsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

201

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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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“…(15c) and (19) and with the aid of Eqs. (10) and (17), the sizedependent nonlinear governing differential equations can be obtained as below…”

Section: Preliminariesmentioning

confidence: 99%

“…Continuum-based theoretical approaches can be employed in a wide range of applications at nanoscale due to their lesser complexity and high computational efficiency. For this purpose, various types of sizedependent continuum theory which can interpret size effect efficiently have been proposed to investigate the mechanical behavior of structures at both micro and nano scales [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Wang et al [20] reviewed recent advancements in the applications of such modified continuum mechanics model.…”

Section: Introductionmentioning

confidence: 99%

Surface free energy effects on the postbuckling behavior of cylindrical shear deformable nanoshells under combined axial and radial compressions

2016

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In the traditional continuum mechanics, the effects of surface free energy are generally ignored. However, this cannot be the case for nanostructures because of their high surface to volume ratio; surface energy plays an important role in the mechanical responses. In the present study, the nonlinear buckling and postbuckling characteristics of cylindrical nanoshells subjected to combined axial and radial compressions are investigated in the presence of surface energy effects. To this end, Gurtin-Murdoch elasticity theory is implemented into the classical firstorder shear deformation shell theory to develop an efficient size-dependent shell model incorporating surface free energy effects. Subsequently, a boundary layer theory is employed including surface effects in conjunction with the nonlinear prebuckling deformations, the large postbuckling deflections and the initial geometric imperfection. Finally, a solution methodology based on a two-stepped singular perturbation technique is utilized to obtain the size-dependent critical buckling loads and equilibrium postbuckling paths corresponding to the both axial dominated and radial dominated loading cases. It is observed that for the both axial dominated and radial dominated loading cases, surface free energy effects cause to increase the both critical buckling load and critical end-shortening of shear deformable nanoshell made of silicon.

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On nonlinear behavior and buckling of fluid-transporting nanotubes

Cited by 46 publications

References 32 publications

A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory

A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory

A review on the mechanics of nanostructures

Surface free energy effects on the postbuckling behavior of cylindrical shear deformable nanoshells under combined axial and radial compressions

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