| 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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| 发表期刊 | ACTA MECHANICA
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| 2017-06-01
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| 卷号 | 228期号:6页码:2363-2375 |
| ISSN | 0001-5970
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| 摘要 | 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
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000401920000022
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| 关键词[WOS] | DEPENDENT ELASTIC PROPERTIES
; SURFACE-ENERGY
; MOLECULAR-DYNAMICS
; INTERFACE STRESS
; NANOWIRES
; BEHAVIOR
; MODEL
; SILICON
; SOLIDS
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| WOS研究方向 | Mechanics
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| WOS类目 | Mechanics
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| 项目资助者 | NSFC(11532013
; CAS/SAFEA International Partnership Program
; 11372317
; 11402270)
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| 论文分区 | 二类
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| 力学所作者排名 | 1
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/60519
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| 专题 | 非线性力学国家重点实验室
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| 通讯作者 | 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. |
推荐引用方式
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.
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| 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.
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| 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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