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Surface effect in axisymmetric Hertzian contact problems
Jia N(贾宁); Yao Y(姚寅); Peng ZL(彭志龙); Yang YZ(杨亚政); Chen SH(陈少华)
Source PublicationINTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
2018-10-01
Volume150Pages:241-254
ISSN0020-7683
AbstractSurface effect in three different axisymmetric Hertzian contact models is investigated in this paper with a recently developed elastic theory for nanostructured materials, including a Boussinesq problem, contact problem between a rigid flat-ended cylindrical indenter and an elastic half space as well as contact problem between a rigid spherical indenter and an elastic half space. With the help of the Love's strain function method and Hankel integral transformation, closed-form solutions of the stress and displacement fields at the surface of an elastic half space subjected to a concentrated force are achieved, based on which the interface tractions and displacements in the three different axisymmetric contact problems can be further obtained. It is found that surface effect in these contact problems can be characterized only by an intrinsic length, i.e., the ratio of the bulk surface energy density to the bulk shear modulus of the indented material. When the contact radius is comparable with the intrinsic length, surface effect is much obvious, leading to a serious deviation between the two solutions predicted respectively by the theoretical model developed for nanomaterials and the classical contact model. A more interesting phenomenon is about surface effect on the indentation hardness, which is found to increase with the reduction of the indenter radius when the external load is fixed, or to increase with the decrease of the external load when the indenter radius keeps unchanged. All the results in this paper should be helpful not only for deep understanding of the surface effect on nano-contact behaviors but also for further revealing the nature of surface effect of nano-indentation hardness. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordAxisymmetric Hertzian contact Surface effect Surface energy density Intrinsic length Nano-indentation hardness
DOI10.1016/j.ijsolstr.2018.06.019
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000444790200018
WOS KeywordELASTIC HALF-SPACE ; DEPENDENT INTERFACIAL ENERGY ; NANO-INHOMOGENEITIES ; SIZE ; STRESS ; NANOPARTICLES ; DENSITY ; SOLIDS ; FILMS ; NANOINDENTATION
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNSFC [11532013, 11372317, 11402270] ; BIT Creative Research Plan ; Project of Beijing Municipal Science and Technology Commission [Z161100001416007] ; Project of State Key Laboratory of Explosion Science and Technology [ZDKT17-02]
Classification一类/力学重要期刊
Ranking1
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77860
Collection非线性力学国家重点实验室
Affiliation1.Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
3.Beijing Inst Technol, Beijing Key Lab Lightweight Multifunct Composite, Beijing 100081, Peoples R China
4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Jia N,Yao Y,Peng ZL,et al. Surface effect in axisymmetric Hertzian contact problems[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2018,150:241-254.
APA 贾宁,姚寅,彭志龙,杨亚政,&陈少华.(2018).Surface effect in axisymmetric Hertzian contact problems.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,150,241-254.
MLA 贾宁,et al."Surface effect in axisymmetric Hertzian contact problems".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 150(2018):241-254.
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