IMECH-IR  > 非线性力学国家重点实验室
Elastic theory of nanomaterials based on surface-energy density
Chen SH(陈少华); Yao Y(姚寅); Chen SH(陈少华)
Source PublicationJOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
2014-10-20
Volume81Issue:12Pages:121002
ISSN0021-8936
AbstractRecent 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.
KeywordNanomaterials Surface Effect Surface-energy Density Surface-relaxation Parameter
Subject Area固体力学 ; 新型材料的力学问题
DOI10.1115/1.4028780
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000349190600002
WOS KeywordCONTINUUM INTERPHASE MODEL ; DEPENDENT INTERFACE ENERGY ; NANO-SCALE THICKNESS ; MECHANICAL-BEHAVIOR ; SIZE DEPENDENCE ; INCLUDING SURFACE ; STRESS ; FILMS ; NANOWIRES ; SOLIDS
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNatural 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.
DepartmentLNM仿生材料与固体的微尺度力学
Classification一类
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49124
Collection非线性力学国家重点实验室
Corresponding AuthorChen SH(陈少华)
Recommended Citation
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.
Files in This Item: Download All
File Name/Size DocType Version Access License
jam_081_12_121002.pd(1495KB)期刊论文出版稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Chen SH(陈少华)]'s Articles
[Yao Y(姚寅)]'s Articles
[陈少华]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chen SH(陈少华)]'s Articles
[Yao Y(姚寅)]'s Articles
[陈少华]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen SH(陈少华)]'s Articles
[Yao Y(姚寅)]'s Articles
[陈少华]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: jam_081_12_121002.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.