Elastic theory of nanomaterials based on surface-energy density

doi:10.1115/1.4028780

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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)
发表期刊	JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
	2014-10-20
卷号	81 期号:12 页码:121002
ISSN	0021-8936
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.
关键词	Nanomaterials Surface Effect Surface-energy Density Surface-relaxation Parameter
学科领域	固体力学 ; 新型材料的力学问题
DOI	10.1115/1.4028780
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000349190600002
关键词[WOS]	CONTINUUM INTERPHASE MODEL ; DEPENDENT INTERFACE ENERGY ; NANO-SCALE THICKNESS ; MECHANICAL-BEHAVIOR ; SIZE DEPENDENCE ; INCLUDING SURFACE ; STRESS ; FILMS ; NANOWIRES ; SOLIDS
WOS研究方向	Mechanics
WOS类目	Mechanics
项目资助者	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.
课题组名称	LNM仿生材料与固体的微尺度力学
论文分区	一类
引用统计	被引频次：62[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49124
专题	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.

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