Elastic theory of nanomaterials based on surface-energy density

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	Elastic theory of nanomaterials based on surface-energy density
	Chen SH(陈少华); Yao Y(姚寅); Chen SH(陈少华)
刊名	JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
	2014-10-20
通讯作者邮箱	chenshaohua72@hotmail.com
卷号	81 期号:12 页码:121002
关键词	nanomaterials surface effect surface-energy density surface-relaxation parameter
ISSN号	0021-8936
通讯作者	陈少华
产权排序	[Chen, Shaohua; Yao, Yin] Chinese Acad Sci, LNM, Inst Mech, Beijing 100190, Peoples R China
中文摘要	Recent investigations into surface-energy density of nanomaterials lead to a ripe chance to propose, within the framework of continuum mechanics, a new theory for nanomaterials based on surface-energy density. In contrast to the previous theories, the linearly elastic constitutive relationship that is usually adopted to describe the surface layer of nanomaterials is not invoked and the surface elastic constants are no longer needed in the new theory. Instead, a surface-induced traction to characterize the surface effect in nanomaterials is derived, which depends only on the Eulerian surface-energy density. By considering sample-size effects, residual surface strain, and external loading, an explicit expression for the Lagrangian surface-energy density is achieved and the relationship between the Eulerian surface-energy density and the Lagrangian surface-energy density yields a conclusion that only two material constants—the bulk surface-energy density and the surface-relaxation parameter—are needed in the new elastic theory. The new theory is further used to characterize the elastic properties of several fcc metallic nanofilms under biaxial tension, and the theoretical results agree very well with existing numerical results. Due to the nonlinear surface effect, nanomaterials may exhibit a nonlinearly elastic property though the inside of nanomaterials or the corresponding bulk one is linearly elastic. Moreover, it is found that externally applied loading should be responsible for the softening of the elastic modulus of a nanofilm. In contrast to the surface elastic constants required by existing theories, the bulk surface-energy density and the surface-relaxation parameter are much easy to obtain, which makes the new theory more convenient for practical applications.
学科主题	固体力学 ; 新型材料的力学问题
分类号	一类
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	CONTINUUM INTERPHASE MODEL ; DEPENDENT INTERFACE ENERGY ; NANO-SCALE THICKNESS ; MECHANICAL-BEHAVIOR ; SIZE DEPENDENCE ; INCLUDING SURFACE ; STRESS ; FILMS ; NANOWIRES ; SOLIDS
收录类别	SCI ; EI
资助信息	Natural Science Funds of China (NSFC) through Grants Nos. 11372317 and 11125211, the Nanoproject (2012CB937500), and the CAS/SAFEA International Partnership Program for Creative Research Teams.
原文出处	https://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1916920
语种	英语
WOS记录号	WOS:000349190600002
公开日期	2014-10-30
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49124]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Chen SH(陈少华)
推荐引用方式 GB/T 7714	Chen SH,Yao Y,Chen SH. Elastic theory of nanomaterials based on surface-energy density[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME,2014,81(12):121002.
APA	Chen SH,Yao Y,&陈少华.(2014).Elastic theory of nanomaterials based on surface-energy density.JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME,81(12),121002.
MLA	Chen SH,et al."Elastic theory of nanomaterials based on surface-energy density".JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 81.12(2014):121002.