Analysis of two-dimensional contact problems considering surface effect

doi:10.1016/j.ijsolstr.2017.07.007

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	Analysis of two-dimensional contact problems considering surface effect
	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, Zhongguancun South St, Beijing 100081, Peoples R China.
刊名	INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
	2017-10-15
卷号	125 页码:172-183
关键词	Plane Strain Contact Model Surface Energy Density Surface Effect Contact Behavior Nano-indentation Hardness
ISSN号	0020-7683
DOI	10.1016/j.ijsolstr.2017.07.007
文献子类	Article
英文摘要	Two-dimensional contact problems including a Boussinesq model, a semi-infinite substrate punched by a rigid flat-ended indenter or a cylindrical one, are systematically investigated with a recently developed continuum theory, in which surface effect on mechanical properties of materials is considered based on the concept of surface energy density. The contact stress and displacement fields are analyzed. It is found that the surface energy density of the indented bulk substrate, as only one additional parameter, serves as an important factor to influence the contact properties in contrast to the classical contact models. All the results show that the semi-infinite substrate becomes hardened when the surface effect is considered. Scaling analysis further demonstrates that differences between the theoretical predictions with surface effect and the classical contact solutions without surface effect become significant only if the contact width is comparable with the ratio of the bulk surface energy density to the bulk shear modulus. Specially, in the two-dimensional cylindrical punch problem, the smaller the punch size or the external compressive load, the more serious the deviation of the nano-indentation hardness predicted by the theoretical model with surface effect and the classical contact one. The results should be helpful not only for precise measurement of nano-indentation hardness but also for accurate evaluation of service performance of nanomaterials and nano-devices. (C) 2017 Elsevier Ltd. All rights reserved.
分类号	一类/力学重要期刊
URL标识	查看原文
WOS关键词	STRAIN GRADIENT PLASTICITY ; DEPENDENT INTERFACIAL ENERGY ; ELASTIC PROPERTIES ; DEFORMATION-THEORY ; HALF-SPACE ; INDENTATION ; CURVATURE ; DENSITY ; STRESS ; NANOMATERIALS
WOS研究方向	Mechanics
语种	英语
WOS记录号	WOS:000412033200013
资助机构	NSFC(11532013 ; BIT Creative Research Plan ; 11372317 ; 11402270)
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/70069]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Chen, SH (reprint author), Beijing Inst Technol, Zhongguancun South St, Beijing 100081, Peoples R China.
推荐引用方式 GB/T 7714	Jia N,Yao Y,Yang YZ,et al. Analysis of two-dimensional contact problems considering surface effect[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2017,125:172-183.
APA	贾宁,姚寅,杨亚政,陈少华,&Chen, SH .(2017).Analysis of two-dimensional contact problems considering surface effect.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,125,172-183.
MLA	贾宁,et al."Analysis of two-dimensional contact problems considering surface effect".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 125(2017):172-183.