IMECH-IR  > 非线性力学国家重点实验室
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.
Source PublicationACTA MECHANICA
2017-06-01
Volume228Issue:6Pages:2363-2375
ISSN0001-5970
AbstractThe 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.
DOI10.1007/s00707-017-1835-2
Indexed BySCI ; EI
Language英语
WOS IDWOS:000401920000022
WOS KeywordDEPENDENT ELASTIC PROPERTIES ; SURFACE-ENERGY ; MOLECULAR-DYNAMICS ; INTERFACE STRESS ; NANOWIRES ; BEHAVIOR ; MODEL ; SILICON ; SOLIDS
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNSFC(11532013 ; CAS/SAFEA International Partnership Program ; 11372317 ; 11402270)
Classification二类
Ranking1
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60519
Collection非线性力学国家重点实验室
Corresponding AuthorChen, 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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