In the absence of external loading, surface tension will induce a residual stress field in the
bulk of nano structures. However, in the prediction of mechanical properties of nano structures,
the elastic response of the bulk is usually described by classical Hooke’s law, in
which the aforementioned residual stress was neglected in the existing literatures. The
present paper investigates the influences of surface tension and the residual stress in the
bulk induced by the surface tension on the elastic properties of nano structures. We firstly
present the surface elasticity in the Lagrangian and the Eulerian descriptions and point out
that even in the case of infinitesimal deformations the reference and the current configurations
should be discriminated; otherwise the out-plane terms of surface displacement
gradient, associated with the surface tension, may sometimes be overlooked in the Eulerian
descriptions, particularly for curved and rotated surfaces. Then, the residual stress in the
bulk is studied through the non-classical boundary conditions and used to construct the
linear elastic constitutive relations for the bulk material. Finally, these relations are
adopted to analyze the size-dependent properties of pure bending of Al nanowires. The
present results show that surface tension will considerably affect the effective Young’s
modulus of Al nanowires, which decrease with either the decrease of nanowires thickness
or the increase of the aspect ratio.
Wang ZQ,Zhao YP,Huang ZP. The effects of surface tension on the elastic properties of nano structures[J]. International Journal of Engineering Science,2010,48,1,:140-150.
APA
王志乔,赵亚溥,&黄筑平.(2010).The effects of surface tension on the elastic properties of nano structures.International Journal of Engineering Science,48(1),140-150.
MLA
王志乔,et al."The effects of surface tension on the elastic properties of nano structures".International Journal of Engineering Science 48.1(2010):140-150.
; Huang ZP(黄筑平)
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