Bending and buckling of nanowires including the effects of surface stress and nonlocal elasticity

Juntarasaid, Chinnawut; Pulngern, Tawich; Chucheepsakul, Somchai

doi:10.1016/j.physe.2012.08.005

Cited by 75 publications

(44 citation statements)

References 22 publications

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“…Chiu and Chen [17] introduced a surface flexural stiffness into the surface elasticity model to characterize the curvature-dependent surface energy of buckling nanowires. Juntarasaid et al [34] carried out the buckling analysis considering effects of both surface elasticity and nonlocal elasticity. Wang et al [35] analyzed effects of the surface elasticity and the residual surface tension on the in-plane buckling behavior of nanowires on elastomeric substrates.…”

Section: Introductionmentioning

confidence: 99%

Buckling behavior of nanowires predicted by a new surface energy density model

Yao

Chen

2016

Acta Mech

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The axial buckling behavior of nanowires is investigated with a new continuum theory, in which the surface effect of nanomaterials is characterized by the surface energy density. Only the surface energy density of bulk materials and the surface relaxation parameter are involved, instead of the surface elastic constants in the classical surface elasticity theory. Two kinds of nanowires with different boundary conditions are discussed. It is demonstrated that the new continuum theory can predict the buckling behavior of nanowires very well. Similar to the prediction of the classical elasticity theory, the critical compressive load of axial buckling of nanowires predicted by the new continuum theory increases with an increasing characteristic length, such as the diameter or height of nanowires. With the same aspect ratio, a nanowire with a rectangular cross section possesses a larger critical buckling load than that with a circular one. However, the surface effect could enhance the critical buckling load not only for a fixed-fixed nanowire but also for a cantilevered one in contrast to the classical elastic model. All the results predicted by the new continuum theory agree well with predictions by the surface elasticity models. The present research not only verifies the validation of the new continuum theory, but also gives a much more convenient characterization of buckling behaviors of nanowires. This should be helpful for the design of nanodevices based on nanomaterials, for example, nanobeams in NEMS or high-precision instruments.

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Section: Introductionmentioning

confidence: 99%

Buckling behavior of nanowires predicted by a new surface energy density model

Yao

Chen

2016

Acta Mech

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“…Postbuckling analysis can be considered in light of Euler-Bernoulli beam theory (EBT) and the kind of nanobeams that can be treated with the bending moment, as shown in previous literature [Wang and Yang, 2011;Liu et al, 2012;Juntarasaid et al, 2012;Thongyothee and Chucheepsakul, 2013]. The material characteristics are isotropic and homogenous, and the mechanical properties correspond to linear elasticity.…”

Section: Problem Statementmentioning

confidence: 99%

“…Moreover, the combination of both nonlocal elasticity and surface effects was formulated by Mahmoud et al [2012], so that the constitutive relation of surface stress involving with the nonlocal operator based on EBT was presented to investigate the deflection of nanobeams by using the Galerkin finite element technique. At that time, Juntarasaid et al [2012] studied on bending and buckling analyses of silver nanowires with the effects of surface stress and nonlocal elasticity, and also the both effects combined was also suggested by using the effective stiffness on the nonlocal constitutive relation. The combination between residual surface tension and nonlocal elasticity based on EBT was reported again by Malekzadeh and Shojaee [2013].…”

Section: Introductionmentioning

confidence: 99%

Postbuckling of Unknown-Length Nanobeam Considering the Effects of Nonlocal Elasticity and Surface Stress

Thongyothee

Chucheepsakul

2015

Int. J. Appl. Mechanics

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The objective of this paper is to study the postbuckling behaviors of an unknown-length nanobeam combined with small-scale effects. The concept of variable-arc-length elastica is firstly applied on the problem of nanobeams. The span length is not changed while the arc length is varied increasingly. The nanobeam is on a clamped support at one end, while the other end is an overhanging part through a frictionless slot subjected to axial compression. At this end, the nanobeam is movable only in a horizontal direction. The governing equation is developed by the moment-curvature relationship based on the classical Euler-Bernoulli beam theory, including the effects of nonlocal elasticity, residual surface stress, and both combined effects. The shooting-optimization technique with two-point boundary condition is employed to solve the differential equations in this problem. The results, including nonlocal elasticity, reveal that nanobeams have decreased structural stiffness; meanwhile, the residual surface tension and both combined effects have increased strength. The postbuckling loads decrease as the arc length of nanobeams is increased. The equilibrium configurations are close to an anti-loop for very large deflections. The friction force at the nanoslot is also considered.

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“…For instance, vibrations [25][26][27][28], nonlinear dynamics [29][30][31][32], dynamic instability due to movement [33,34], magneto-elasto-dynamics [35][36][37][38][39], and buckling [40][41][42] of nanotubes have been widely studied via nonlocal continuum theory of Eringen. Additionally, buckling [43][44][45][46][47][48][49], vibrations [50][51][52][53][54][55], and statics [56][57][58] of NWs have been investigated in the context of the surface elasticity theory of Gurtin and Murdoch. Concerning magnetically affected CCNWs, their free and forced vibrations [59,60] and their dynamic interactions in the case of doubly parallel lengthy CCNWs [61] using the surface elasticity theory have been examined and a brief knowledge regarding them has been beginning to come out.…”

Section: Introductionmentioning

confidence: 99%

Column buckling of magnetically affected stocky nanowires carrying electric current

Kiani

2015

Journal of Physics and Chemistry of Solids

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Bending and buckling of nanowires including the effects of surface stress and nonlocal elasticity

Cited by 75 publications

References 22 publications

Buckling behavior of nanowires predicted by a new surface energy density model

Buckling behavior of nanowires predicted by a new surface energy density model

Postbuckling of Unknown-Length Nanobeam Considering the Effects of Nonlocal Elasticity and Surface Stress

Column buckling of magnetically affected stocky nanowires carrying electric current

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