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Size effect in micro-scale cantilever beam bending
Chen SH(陈少华); Feng B; Chen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
Source PublicationActa Mechanica
2011
Volume219Issue:3-4Pages:291-307
ISSN0001-5970
AbstractWhen the thickness of metallic cantilever beams reduces to the order of micron, a strong size effect of mechanical behavior has been found. In order to explain the size effect in a micro-cantilever beam, the couple-stress theory (Fleck and Hutchinson, J Mech Phys Solids 41:1825-1857, 1993) and the C-W strain gradient theory (Chen and Wang, Acta Mater 48:3997-4005, 2000) are used with the help of the Bernoulli-Euler beam model. The cantilever beam is considered as the linear elastic and rigid-plastic one, respectively. Analytical results of the cantilever beam deflection under strain gradient effects by applying these two kinds of theories are obtained, from which we find an explicit relationship between the intrinsic lengths introduced in the two kinds of theories. The theoretical results are further used to analyze the experimental observations, and predictions by both theories are further compared. The results in the present paper should be useful for the design of micro-cantilever beams in MEMS and NEMS.
KeywordStrain-gradient Plasticity Metal-matrix Composites Length Scale Parameter Couple Stress Theory Mechanical-properties Crystal Plasticity Single-crystals Lower-order Thin-films Indentation Hardness
Subject AreaMechanics
DOI10.1007/s00707-011-0461-7
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000291250400009
WOS KeywordSTRAIN-GRADIENT PLASTICITY ; METAL-MATRIX COMPOSITES ; LENGTH SCALE PARAMETER ; COUPLE STRESS THEORY ; MECHANICAL-PROPERTIES ; CRYSTAL PLASTICITY ; SINGLE-CRYSTALS ; LOWER-ORDER ; THIN-FILMS ; INDENTATION HARDNESS
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationThe work reported here is supported by NSFC through Grants #10972220, #10732050, and #11021262.
DepartmentLNM仿生材料与固体的微尺度力学
Classification二类
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/44921
Collection非线性力学国家重点实验室
Corresponding AuthorChen, SH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen SH,Feng B,Chen, SH . Size effect in micro-scale cantilever beam bending[J]. Acta Mechanica,2011,219(3-4):291-307.
APA 陈少华,Feng B,&Chen, SH .(2011).Size effect in micro-scale cantilever beam bending.Acta Mechanica,219(3-4),291-307.
MLA 陈少华,et al."Size effect in micro-scale cantilever beam bending".Acta Mechanica 219.3-4(2011):291-307.
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