A semi-analytical approach to the elastic loading behaviour of rough surfaces

Abstract The elastic loading behaviour of rough surfaces is derived based on the physical understanding of the contact phenomena, where the pressure distribution is analytically obtained without any negative values or convergence problems, thus the evolution of the contact behaviour is obtained in a...

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Main Authors: Xiaogang Zhang, Yali Zhang, Zhongmin Jin
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Friction
Subjects:
Online Access:https://doi.org/10.1007/s40544-019-0320-4
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author Xiaogang Zhang
Yali Zhang
Zhongmin Jin
author_facet Xiaogang Zhang
Yali Zhang
Zhongmin Jin
author_sort Xiaogang Zhang
collection DOAJ
description Abstract The elastic loading behaviour of rough surfaces is derived based on the physical understanding of the contact phenomena, where the pressure distribution is analytically obtained without any negative values or convergence problems, thus the evolution of the contact behaviour is obtained in a semi-analytical manner. Numerical results obtained by the proposed approach facilitate the understanding of the contact behaviour in the following aspects: 1) the ratio of contact area to load decreases with an increase in real contact area; 2) normal approach-load relationship is approximated by an exponential decay under relatively small loads and a linear decay under relatively large loads; and 3) average gap shows an exponential relationship with load only in moderate load range.
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spelling doaj.art-e776206866994e6f8a43c1a7f55f851a2022-12-21T22:29:08ZengSpringerOpenFriction2223-76902223-77042019-12-018597098110.1007/s40544-019-0320-4A semi-analytical approach to the elastic loading behaviour of rough surfacesXiaogang Zhang0Yali Zhang1Zhongmin Jin2School of Mechanical Engineering, Southwest Jiaotong UniversitySchool of Mechanical Engineering, Southwest Jiaotong UniversitySchool of Mechanical Engineering, Southwest Jiaotong UniversityAbstract The elastic loading behaviour of rough surfaces is derived based on the physical understanding of the contact phenomena, where the pressure distribution is analytically obtained without any negative values or convergence problems, thus the evolution of the contact behaviour is obtained in a semi-analytical manner. Numerical results obtained by the proposed approach facilitate the understanding of the contact behaviour in the following aspects: 1) the ratio of contact area to load decreases with an increase in real contact area; 2) normal approach-load relationship is approximated by an exponential decay under relatively small loads and a linear decay under relatively large loads; and 3) average gap shows an exponential relationship with load only in moderate load range.https://doi.org/10.1007/s40544-019-0320-4surface roughnessreal contact areainterfacial stiffnessnormal contact stiffness
spellingShingle Xiaogang Zhang
Yali Zhang
Zhongmin Jin
A semi-analytical approach to the elastic loading behaviour of rough surfaces
Friction
surface roughness
real contact area
interfacial stiffness
normal contact stiffness
title A semi-analytical approach to the elastic loading behaviour of rough surfaces
title_full A semi-analytical approach to the elastic loading behaviour of rough surfaces
title_fullStr A semi-analytical approach to the elastic loading behaviour of rough surfaces
title_full_unstemmed A semi-analytical approach to the elastic loading behaviour of rough surfaces
title_short A semi-analytical approach to the elastic loading behaviour of rough surfaces
title_sort semi analytical approach to the elastic loading behaviour of rough surfaces
topic surface roughness
real contact area
interfacial stiffness
normal contact stiffness
url https://doi.org/10.1007/s40544-019-0320-4
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