| Elastic theory of nanomaterials based on surface-energy density | |
Chen SH(陈少华) ; Yao Y(姚寅); Chen SH(陈少华)
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| Source Publication | JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
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| 2014-10-20 | |
| Volume | 81Issue:12Pages:121002 |
| ISSN | 0021-8936 |
| Abstract | 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. |
| Keyword | Nanomaterials Surface Effect Surface-energy Density Surface-relaxation Parameter |
| Subject Area | 固体力学 ; 新型材料的力学问题 |
| DOI | 10.1115/1.4028780 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000349190600002 |
| WOS Keyword | CONTINUUM INTERPHASE MODEL ; DEPENDENT INTERFACE ENERGY ; NANO-SCALE THICKNESS ; MECHANICAL-BEHAVIOR ; SIZE DEPENDENCE ; INCLUDING SURFACE ; STRESS ; FILMS ; NANOWIRES ; SOLIDS |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | 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. |
| Department | LNM仿生材料与固体的微尺度力学 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49124 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Chen 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. |
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| jam_081_12_121002.pd（1495KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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