The effects of surface tension on the elastic properties of nano   structures

doi:10.1016/j.ijengsci.2009.07.007

CORC > 北京大学 > 工学院

	The effects of surface tension on the elastic properties of nano structures
	Wang, Zhi-Qiao ; Zhao, Ya-Pu ; Huang, Zhu-Ping
刊名	international journal of engineering science
	2010
关键词	Surface stress Surface tension Pure bending of nanowires Aspect ratio THIN-FILMS STRESS ENERGY NANOWIRES SOLIDS STRAIN BOUNDARY
DOI	10.1016/j.ijengsci.2009.07.007
英文摘要	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. (C) 2009 Elsevier Ltd. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000274447400004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Multidisciplinary; SCI(E); 98; ARTICLE; 2; 140-150; 48
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/245470]
专题	工学院
推荐引用方式 GB/T 7714	Wang, Zhi-Qiao,Zhao, Ya-Pu,Huang, Zhu-Ping. The effects of surface tension on the elastic properties of nano structures[J]. international journal of engineering science,2010.
APA	Wang, Zhi-Qiao,Zhao, Ya-Pu,&Huang, Zhu-Ping.(2010).The effects of surface tension on the elastic properties of nano structures.international journal of engineering science.
MLA	Wang, Zhi-Qiao,et al."The effects of surface tension on the elastic properties of nano structures".international journal of engineering science (2010).