Abstract
The 3D rough surface modeling and contact analysis is a difficult problem in the study of rough surface contact. In this paper, a new method for reconstruction and contact analysis of asperities on 3D rough surfaces is proposed based on real rough surfaces. Watershed algorithm is used to segment and determine the area of asperities on the rough surface. According to the principle of minimum mean square error, ellipsoid fitting is carried out on asperities. Based on the elastic-plastic contact model of a single ellipsoidal asperity, a stable and efficient method for 3D rough surface contact analysis and calculation is proposed. Compared with existing calculating methods, the present method has the following characteristics: (1) the constructed surface asperity is closer to the real asperity in contact, and the calculation of asperity parameters has better stability under different sampling intervals and (2) the contact pressure, contact area, and other contact parameters of the 3D rough surface are calculated with high accuracy and efficiency, and the calculation convergence is desirable. The reconstruction and contact analysis method of the 3D rough surface asperity proposed in this paper provides a more accurate reconstruction and calculation method for the study of contact fatigue life and wear failure of rough surfaces.
References
1.
Guillermo
, E.
, and Morales
, E.
, 2018
, “A Model for Rolling Bearing Life With Surface and Subsurface Survival-Tribological Effects
,” Wear
, 58
(1
), pp. 133
–142
. 10.1080/10402004.2015.10259322.
Liu
, H.
, Zhu
, C.
, Zhang
, Y.
, Wang
, Z.
, and Song
, C.
, 2016
, “Tribological Evaluation of a Coated Spur Gear Pair
,” Tribol. Int.
, 99
(1
), pp. 117
–126
. 10.1016/j.triboint.2016.03.0143.
Greenwood
, J. A.
, and Tripp
, J. H.
, 1970
, “The Contact of Two Nominally Flat Surfaces
,” Proc. Inst. Mech. Eng.
, 185
(1
), pp. 625
–634
. 10.1243/PIME_PROC_1970_185_069_024.
Chang
, W. R.
, Etsion
, I.
, and Bogy
, D. B.
, 1987
, “An Elastic-Plastic Model for the Contact of Rough Surfaces
,” ASME J. Tribol.
, 109
(2
), pp. 257
–263
. 10.1115/1.32613485.
Zhao
, Y.
, Lv
, Y. M.
, and Jiang
, J. Z.
, 2003
, “New Elastic-Plastic Model for the Contact of Rough Surface
,” J. Mech. Eng.
, 43
(3
), pp. 95
–101
. 10.3901/JME.2007.03.0956.
Kogut
, L.
, and Etsion
, I.
, 2003
, “A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces
,” Tribol. Trans.
, 46
(3
), pp. 383
–390
. 10.1080/104020003089826417.
Jackson
, R. L.
, and Green
, I.
, 2005
, “A Finite Element Study of ElastoPlastic Hemispherical Contact Against a Rigid Flat
,” ASME J. Tribol.
, 127
(2
), pp. 343
–354
. 10.1115/1.18661668.
Jackson
, R. L.
, and Green
, I.
, 2006
, “A Statistical Model of Elasto-Plastic Asperity Contact Between Rough Surfaces
,” Tribol. Int.
, 39
(9
), pp. 906
–914
. 10.1016/j.triboint.2005.09.0019.
Yu
, N.
, and Polycarpou
, A. A.
, 2002
, “Contact of Rough Surfaces With Asymmetric Distribution of Asperity Heights
,” ASME J. Tribol.
, 124
(2
), pp. 367
–376
. 10.1115/1.140345810.
Beheshti
, A.
, and Khonsari
, M. M.
, 2012
, “Asperity Micro-Contact Models as Applied to the Deformation of Rough Line Contact
,” Tribol. Int.
, 52
(1
), pp. 61
–74
. 10.1016/j.triboint.2012.02.02611.
Beheshti
, A.
, and Khonsari
, M. M.
, 2014
, “On the Contact of Curved Rough Surfaces: Contact Behavior and Predictive Formulas
,” ASME J. Appl. Mech.
, 81
(11
), p. 111004
. 10.1115/1.402842612.
Bush
, A. W.
, Gibson
, R. D.
, and Keogh
, G. D.
, 1979
, “Strongly Anisotropic Rough Surface
,” ASME J. Tribol.
, 101
, pp. 15
–20
. 10.1115/1.345327113.
Chandrasekar
, S.
, Eriten
, M.
, and Polycarpou
, A. A.
, 2012
, “An Improved Model of Asperity Interaction in Normal Contact of Rough Surfaces
,” ASME J. Appl. Mech.
, 80
(1
), p. 011025
. 10.1115/1.400714214.
Greenwood
, J. A.
, and Wu
, J. J.
, 2001
, “Surface Roughness and Contact: An Apology
,” Meccanica
, 36
(6
), pp. 617
–630
. 10.1023/A:101634060196415.
Greenwood
, J. A.
, 2006
, “A Simplified Elliptic Model of Rough Surface Contact
,” Wear
, 261
(2
), pp. 191
–200
. 10.1016/j.wear.2005.09.03116.
Pawlus
, P.
, and Zelasko
, W.
, 2012
, “The Importance of Sampling Interval for Rough Contact Mechanics
,” Wear
, 276
(1
), pp. 121
–129
. 10.1016/j.wear.2011.12.01517.
Kalin
, M.
, and Pogačnik
, A.
, 2013
, “Criteria and Properties of the Asperity Peaks on 3D Engineering Surfaces
,” Wear
, 308
(1–2
), pp. 95
–104
. 10.1016/j.wear.2013.09.01018.
Wen
, Y.
, Tang
, J.
, Zhou
, W.
, and Zhu
, C.
, 2018
, “An Improved Simplified Model of Rough Surface Profile
,” Tribol. Int.
, 125
(1
), pp. 75
–84
. 10.1016/j.triboint.2018.04.02519.
Poon
, C. Y.
, and Bhushan
, B.
, 1995
, “Comparison of Surface Roughness Measurements by Stylus Profiler, AFM and Non-Contact Optical Profiler
,” Wear
, 190
(1
), pp. 76
–88
. 10.1016/0043-1648(95)06697-720.
Aramaki
, H.
, Cheng
, H. S.
, and Chung
, Y. W.
, 1993
, “The Contact Between Rough Surfaces With Longitudinal Texture Part I: Average Contact Pressure and Real Contact Area
,” ASME J. Tribol.
, 115
(3
), pp. 419
–424
. 10.1115/1.292165321.
Ciulli
, E.
, Ferreira
, L. A.
, Pugliese
, G.
, and Tavares
, S. M. O.
, 2008
, “Rough Contacts Between Actual Engineering Surfaces Part I: Simple Models for Roughness Description
,” Wear
, 264
(11–12
), pp. 1105
–1115
. 10.1016/j.wear.2007.08.02422.
Pugliese
, G.
, Tavares
, S. M. O.
, Ciulli
, E.
, and Ferreira
, L. A.
, 2008
, “Rough Contacts Between Actual Engineering Surfaces Part II. Contact Mechanics
,” Wear
, 264
(11–12
), pp. 1116
–1128
. 10.1016/j.wear.2007.08.02723.
Hanaor
, D.
, Gan
, Y.
, and Einav
, I.
, 2015
, “Contact Mechanics of Fractal Surfaces by Spline Assisted Discretization
,” Int. J. Solids Struct.
, 59
(1
), pp. 121
–131
. 10.1016/j.ijsolstr.2015.01.02124.
Hanaor
, D. A. H.
, Gan
, Y.
, and Einav
, I.
, 2016
, “Static Friction at Fractal Interfaces
,” Tribol. Int.
, 93
(1
), pp. 229
–238
. 10.1016/j.triboint.2015.09.01625.
Kucharski
, S.
, and Starzynski
, G.
, 2004
, “Study of Contact of Rough Surfaces: Modeling and Experiment
,” Wear
, 311
(1–2
), pp. 167
–179
. 10.1016/j.wear.2014.01.00926.
Zhai
, C.
, Hanaor
, D.
, and Gan
, Y.
, 2017
, “Contact Stiffness of Multiscale Surfaces by Truncation Analysis
,” Int. J. Mech. Sci.
, 131–132
(1
), pp. 305
–316
. 10.1016/j.ijmecsci.2017.07.01827.
Sod
, G. A.
, 1978
, “A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws
,” J. Comput. Phys.
, 27
(1
), pp. 1
–31
. 10.1016/0021-9991(78)90023-228.
Brandt
, A.
, and Lubrecht
, A. A.
, 1990
, “Multilevel Matrix Multiplication and Fast Solution of Integral Equations
,” J. Comput. Phys.
, 90
(2
), pp. 348
–370
. 10.1016/0021-9991(90)90171-V29.
Putignano
, C.
, Afferrante
, L.
, and Carbone
, G.
, 2012
, “A New Efficient Numerical Method for Contact Mechanics of Rough Surfaces
,” Int. J. Solids Struct.
, 49
(2
), pp. 338
–343
. 10.1016/j.ijsolstr.2011.10.00930.
Wang
, Z.
, Jin
, X.
, Zhou
, Q.
, Ai
X.
, Keer
L. M.
, and Wang
Q.
, 2013
, “An Efficient Numerical Method With a Parallel Computational Strategy for Solving Arbitrarily Shaped Inclusions in Elastoplastic Contact Problems
,” ASME J. Tribol.
, 135
(3
), p. 031401
. 10.1115/1.402394831.
Polonsky
, I. A.
, and Keer
, L. M.
, 2000
, “Fast Methods for Solving Rough Contact Problems: A Comparative Study
,” ASME J. Tribol.
, 122
(1
), pp. 36
–41
. 10.1115/1.55532632.
Li
, S.
, 2014
, “A Boundary Element Model for Near Surface Contact Stresses of Rough Surfaces
,” Comput. Mech.
, 54
(3
), pp. 833
–846
. 10.1007/s00466-014-1037-x33.
Vincent
, L.
, and Soille
, P.
, 1991
, “Watersheds in Digital Space: An Efficient Algorithms Based on Immersion Simulation
,” IEEE Trans. Pattern Anal. Mach. Intell.
, 13
(6
), pp. 583
–598
. 10.1109/34.8734434.
Sedaaghi
, M. H.
, 1997
, “Direct Implementation of Open-Closing in Morphological Filtering
,” Electron. Lett.
, 33
(3
), p. 198
. 10.1049/el:1997013235.
Ying-Dong
, Q.
, Cheng-Song
, C.
, San-Ben
, C.
, and Jin-Quan
L.
, 2005
, “A Fast Subpixel Edge Detection Method Using Sobel–Zernike Moments Operator
,” Image Vision Comput.
, 23
(1
), pp. 11
–17
. 10.1016/j.imavis.2004.07.00336.
McCool
, J.
, 1986
, “Comparison of Models for the Contact of Rough Surfaces
,” Wear
, 107
(1
), pp. 37
–60
. 10.1016/0043-1648(86)90045-137.
Li
, X. Y.
, Liang
, L.
, and Wu
, S. J.
, 2015
, “A Numerical and Effective Method for the Contact Stress Calculation of Elliptical Partial Slip
,” J. Mech. Sci. Technol.
, 29
(2
), pp. 517
–525
. 10.1007/s12206-015-0112-338.
Horng
, J. H.
, 1998
, “An Elliptic Elastic-Plastic Asperity Microcontact Model for Rough Surface
,” ASME J. Tribol.
, 120
(1
), pp. 82
–88
. 10.1115/1.283419439.
Wen
, Y.
, Tang
, J.
, Zhou
, W.
, and Zhu
C.
, 2018
, “A new Elliptical Microcontact Model Considering Elastoplastic Deformation
,” Proc. Inst. Mech. Eng. Part J: J. Eng. Tribol.
, 232
(11
), pp. 1352
–1364
. 10.1177/1350650117753447Copyright © 2020 by ASME
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