| Size effect in the bending of a Timoshenko nanobeam | |
Jia N(贾宁) ; Yao Y(姚寅); Yang YZ(杨亚政); Chen SH(陈少华); Chen, SH (reprint author), Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China.; Chen, SH (reprint author), Beijing Inst Technol, Beijing Key Lab Lightweight Multifunct Composite, Beijing 100081, Peoples R China.
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| Source Publication | ACTA MECHANICA
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| 2017-06-01 | |
| Volume | 228Issue:6Pages:2363-2375 |
| ISSN | 0001-5970 |
| Abstract | The size effect should be considered due to the large ratio of surface area to volume when the characteristic length of a beam lies in the nanoscale. The size effect in the bending of a Timoshenko nanobeam is investigated in this paper based on a recently developed elastic theory for nanomaterials in which only the bulk surface energy density and the surface relaxation parameter are involved as independent parameters to characterize the surface property of nanomaterials. In contrast to the Euler nanobeams and the classical Timoshenko beam not only the size effect but also the shear deformation effect in Timoshenko nanobeams is included. Closed-form solutions of the deflection and the effective elastic modulus for both a fixed-fixed Timoshenko nanobeam and a cantilevered one are achieved. Comparing to the classical solution of Timoshenko beams the size effect is obviously significant in Timoshenko nanobeams. The shear deformation effect in nanobeams cannot be neglected in contrast to the solution of Euler-Bernoulli nanobeams when the aspect ratio of a nanobeam is relatively small. Furthermore the size effect exhibits different influences on the bending behavior of nanobeams with different boundary conditions. A nanobeam with a fixed-fixed boundary would be stiffened while a cantilevered one is softened by the size effect compared to the classical solution. All the findings are consistent with the existing experimental measurement. The results in this paper should be very useful for the precision design of nanobeam-based devices. |
| DOI | 10.1007/s00707-017-1835-2 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000401920000022 |
| WOS Keyword | DEPENDENT ELASTIC PROPERTIES ; SURFACE-ENERGY ; MOLECULAR-DYNAMICS ; INTERFACE STRESS ; NANOWIRES ; BEHAVIOR ; MODEL ; SILICON ; SOLIDS |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | NSFC(11532013 ; CAS/SAFEA International Partnership Program ; 11372317 ; 11402270) |
| Classification | 二类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/60519 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Chen, SH (reprint author), Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China.; Chen, SH (reprint author), Beijing Inst Technol, Beijing Key Lab Lightweight Multifunct Composite, Beijing 100081, Peoples R China. |
| Recommended Citation GB/T 7714 | Jia N,Yao Y,Yang YZ,et al. Size effect in the bending of a Timoshenko nanobeam[J]. ACTA MECHANICA,2017,228,6,:2363-2375. |
| APA | 贾宁,姚寅,杨亚政,陈少华,Chen, SH ,&Chen, SH .(2017).Size effect in the bending of a Timoshenko nanobeam.ACTA MECHANICA,228(6),2363-2375. |
| MLA | 贾宁,et al."Size effect in the bending of a Timoshenko nanobeam".ACTA MECHANICA 228.6(2017):2363-2375. |
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| JouAr-2017-006.pdf（1112KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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