Surface effects on elastic properties of silver nanowires: Contact atomic-force microscopy

Jing, Guangyin; Duan, Huiling; Sun, Xiaoyu; Zhang, Z. S.; Xu, Jia; Li, Y. D.; Wang, J. X.; Yu, Dapeng

doi:10.1103/physrevb.73.235409

Cited by 529 publications

(306 citation statements)

References 45 publications

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“…Surface elastic constants can be obtained through atomic calculations [Shenoy 2005]; their direct measurement has been very difficult until now. Investigations of the deformation of some elementary nanosized devices (for example, beams, tubes, and plates) have demonstrated that the predictions of Gurtin's surface/interface elasticity theory agree reasonably well with direct atomic simulations [Miller and Shenoy 2000;Shenoy 2002].…”

Section: Introductionmentioning

confidence: 56%

“…Although surface elasticity theory has been extensively used to elucidate the effects of various sizedependent phenomena on elastic fields in nanowires caused by static loadings [Chen et al 2006;Jing et al 2006], to date, however, investigation of surface effects on the dynamic behaviors of long nanotubes/nanowires has been comparatively lacking. As a few examples in the context of dynamic loadings in conjunction with surface elasticity theory, we mention studies regarding the diffraction of plane compressional/shear waves by nanosized inhomogeneities/voids (embedded in an elastic medium) [Wang 2007;Hasheminejad and Avazmohammadi 2009] He and Lilley [2008] studied the influence of the surface stress on the resonance frequencies of bending nanowires using EulerBernoulli beam theory and, similarly, the natural frequencies of a microbeam in the presence of surface effects were estimated in [Abbasion et al 2009] based on Timoshenko beam theory.…”

Section: Introductionmentioning

confidence: 99%

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Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Jam

Mirzaei

Gheshlaghi

et al. 2012

J. Mech. Mater. Struct.

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Exact elasticity theory is employed to study the (two-dimensional) free vibration of nanoscale cylindrical tubes in the presence of free surface energy. Use is made of the Gurtin-Murdoch surface elasticity model to incorporate the surface stress terms into the pertinent boundary conditions. Some numerical examples are provided to depict the influence of the surface energy, and particularly the inner radius size of the nanocylinder, on the natural frequencies of the system. The results indicate a stronger influence of surface effects for both smaller values of the outer to inner radius ratio and higher modes of vibration.

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Section: Introductionmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Jam

Mirzaei

Gheshlaghi

et al. 2012

J. Mech. Mater. Struct.

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“…This phenomenon has been observed in a number of studies and, in particular, the effect of surface tension on the properties of nano-sized structures has been noted in (Cuenot et al, 2004;Jing et al, 2006;Park and Klein, 2008;Stan et al, 2008;Eremeyev et al, 2009;Wang et al, 2010). The reason for the surface effects is the difference in the behavior of atoms depending on whether they are close to a free surface or within the bulk of the material.…”

Section: Introductionmentioning

confidence: 96%

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Radebe

Adali

2015

Lat. Am. j. solids struct.

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At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree of uncertainty in the determination of the material properties of nano structures This, in turn, introduces some degree of uncertainty in the computation of the mechanical response of the nano-scale components. In the present study a convex model is employed to take surface tension, small scale parameter and the elastic constants as uncertain-butbounded quantities in the buckling analysis of rectangular nanoplates. The objective is to determine the lowest buckling load for a given level of uncertainty to obtain a conservative estimate by taking the worst-case variations of material properties. Moreover the sensitivity of the buckling load to material uncertainties is also investigated.

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“…Such nanoelectromechanical systems (NEMS) with nanomechanical resonators usually operate as transducers, where their mechanical behavior necessitates a sound modeling approach [4]. Recently, it has been shown that due to the dominance of the free surface in nanoscale structures, mechanical properties exhibit a pronounced size dependence [5]. A distinct surface energy contribution at the nanoscale due to the difference in atomic arrangement is the main reason for the size dependence in nanostructures [6].…”

Section: Introductionmentioning

confidence: 99%

Effect of geometry in frequency response modeling of nanomechanical resonators

Esfahani

Yılmaz

Sonne

et al. 2016

AIP Conference Proceedings

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Abstract. The trend towards nanomechanical resonator sensors with increasing sensitivity raises the need to address challenges encountered in the modeling of their mechanical behavior. Selecting the best approach in mechanical response modeling amongst the various potential computational solid mechanics methods is subject to controversy. A guideline for the selection of the appropriate approach for a specific set of geometry and mechanical properties is needed. In this study, geometrical limitations in frequency response modeling of flexural nanomechanical resonators are investigated. Deviation of Euler and Timoshenko beam theories from numerical techniques including finite element modeling and Surface Cauchy-Born technique are studied. The results provide a limit beyond which surface energy contribution dominates the mechanical behavior. Using the Surface Cauchy-Born technique as the reference, a maximum error on the order of 50 % is reported for high-aspect ratio resonators.

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Surface effects on elastic properties of silver nanowires: Contact atomic-force microscopy

Cited by 529 publications

References 45 publications

Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Effect of geometry in frequency response modeling of nanomechanical resonators

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