Browse > Article
http://dx.doi.org/10.9725/kts.2020.36.4.232

Numerical Wear Analysis of a Three-dimensional Rough Surface  

Kim, Yunji (Dept. of Mechanical Engineering, Pusan National University)
Suh, Junho (Dept. of Mechanical Engineering, Pusan National University)
Kim, Bongjun (Dept. of Mechanical Engineering, Pusan National University)
Yu, Yonghun (Dept. of Mechanical Engineering, Pusan National University)
Publication Information
Tribology and Lubricants / v.36, no.4, 2020 , pp. 232-243 More about this Journal
Abstract
It is essential to predict the amount of wear and surface parameters for a surface where relative motion occurs. In the asperity-based model for wear prediction, only the average contact pressure can be obtained. Hence, the accuracy of wear analysis is poor. In this study, DC-FFT is used to obtain the pressure of each node, and wear analysis is performed by considering the effect of the pressure gradient. The numerical surface generation method is used to create Gaussian, negatively skewed, and positively skewed surfaces for wear analysis. The spatial and height distributions of each surface are analyzed to confirm the effectiveness of the generated surface. Furthermore, wear analysis is performed using DC-FFT and Archard's wear formula. After analysis, it is confirmed that all peaks are removed and only valleys remain on the surface. The RMS roughness and Sk continue to decrease and Ku increases as the cycle progresses. It is observed that the surface parameters are significantly affected by the radius of curvature of the asperity. This analysis method is more accurate than the existing average wear and truncation models because the change in asperity shape during the wear process is reflected in detail.
Keywords
DC-FFT method; numerical analysis; rough surface; running-in; sliding wear;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Hutt, S., Clarke, A., Evans, H. P., "Generation of Acoustic Emission from the Running-in and Subsequent Micropitting of a Mixed-elastohydrodynamic contact", Tribol Int., Vol.119, pp.270-280, 2018, https://doi.org/10.1016/j.triboint.2017.11.011   DOI
2 Clarke, A., Weeks, I. J. J., Snidle, R. W., Evans, H. P., "Running-in and Micropitting Behaviour of Steel Surfaces Under Mixed Lubrication Conditions", Tribol Int., Vol.101, pp.59-68, 2016, https://doi.org/10.1016/j.triboint.2016.03.007   DOI
3 Spedding, T. A., King, T. G., Watson, W., Stout, K. J., "The Pearson System of Distributions: Its AppliFig cation to Non-gaussian Surface Metrology and a Simple wear Model", J. Tribol., Vol.102, No.4, pp.495-500, 1980, https://doi.org/10.1115/1.3251585
4 Ghosh, A., Sadeghi, F., "A Novel Approach to Model Effects of Surface Roughness Parameters on wear", Wear, Vol.338-339, pp.73-94, 2015, https://doi.org/10.1016/j.wear.2015.04.022   DOI
5 Ranganath, Nayak P., "Random process model of Rough Surfaces", J. Tribol., Vol.93, No.3, pp.398-407, 1971, https://doi.org/10.1115/1.3451608
6 Prajapati, D. K., Tiwari, M., "3D Numerical wear Model for Determining the Change in Surface Topography", Surf Topogr Metrol Prop., Vol.6, No.4, pp.045006, 2018, https://doi.org/10.1088/2051-672X/aae81b   DOI
7 Whitehouse, D. J., & Archard, J. F.,"The Properties of Random Surfaces of Significance in Their Contact", Proc R Soc London A Math Phys Sci., Vol.316, No.1524, pp.97-121, 1970, https://doi.org/10.1098/rspa.1970.0068
8 Patir, N., "A Numerical Procedure for Random Generation of Rough Surfaces", Wear, Vol.47, No.2, pp.263-277, 1978, https://doi.org/10.1016/0043-1648(78)90157-6   DOI
9 Whitehouse, D. J., "The Generation of Two Dimensional Random Surfaces Having a Specified Function", CIRP Ann - Manuf Technol., Vol.32, No.1, pp.495-498, 1983, https://doi.org/10.1016/S0007-8506(07)63447-7   DOI
10 You, S. J., Ehmann, K. F., "Computer Synthesis of three-dimensional Surfaces", Wear, Vol.145, No.1, pp.29-42, 1991, https://doi.org/10.1016/0043-1648(91)90237-O   DOI
11 Wang, Y., Liu, Y., Zhang, G., Wang, Y., "A Simulation Method for non-Gaussian Rough Surfaces using fast Fourier Transform and Translation Process Theory", J. Tribol., Vol.140, No.2, pp.021403, 2018, https://doi.org/10.1115/1.4037793   DOI
12 Hu, Y. Z., Tonder, K., "Simulation of 3-D Random Rough Surface by 2-D Digital Filter and Fourier analysis", Int J Mach Tools Manuf., Vol.32, No.1-2, pp.83-90, 1992, https://doi.org/10.1016/0890-6955(92)90064-N   DOI
13 Borri, C., Paggi, M., "Topological Characterization of Antireflective and Hydrophobic Rough Surfaces: are Random Process Theory and Fractal Modeling Applicable?", J. Phys D Appl Phys., Vol.48, No.4, pp.1-21, 2015, https://doi.org/10.1088/0022-3727/48/4/045301
14 Wu, J. J., "Simulation of Non-Gaussian Surfaces with FFT", Tribol Int., Vol.37, No.4, pp.339-346, 2004, https://doi.org/10.1016/j.triboint.2003.11.005   DOI
15 Hill, I. D., Hill, R., Holder, R. L., "Algorithm AS 99: Fitting Johnson Curves by Moments", Appl Stat., Vol.25, No.2, pp.180-189, 1976, https://doi.org/10.2307/2346692   DOI
16 Lubrecht, A. A., Loannides, E., "A Fast Solution of the Dry Contact Problem and the Associated Sub-surface Stress Field, using Multilevel Techniques", J. Tribol., Vol.113, No.1, pp.128-133, 1991, https://doi.org/10.1115/1.2920577   DOI
17 Francisco, A., Brunetiere, N., "A hybrid Method for Fast and Efficient Rough Surface Generation", Proc Inst Mech Eng Part J J Eng Tribol., Vol.230, No.7, pp.747-768, 2016, https://doi.org/10.1177/1350650115612116   DOI
18 Greenwood, J. A., Williamson, J. B. P., "Contact of nomimally flat surfaces", Proc R Soc London Ser A Math Phys Sci., Vol.295, No.1442, pp.300-319, 1966, https://doi.org/10.1098/rspa.1966.0242
19 Liu, S., Rodgers, M. J., Wang, Q., Keer, L. M., "A Fast and Effective Method for Transient Thermoelastic Displacement Analyses", J. Tribol., Vol.123, No.3, pp.479-485, 2001, https://doi.org/10.1115/1.1308010   DOI
20 Ju, Y., Farris, T. N., "Spectral Analysis of Two-Dimenslonal Contact Problems", J. Tribol., Vol.118, No.2, pp.320-328, 1996, https://doi.org/10.1115/1. 2831303   DOI
21 Mortazavi, V., Khonsari, M. M., "On the Prediction of Transient Wear", J. Tribol., Vol.138, No.4, pp.041604,2016, https://doi.org/10.1115/1.4032843   DOI
22 Liu, S., Wang, Q, Liu G., "A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses", Wear, Vol.243, No.1-2, pp.101-111, 2000, https://doi.org/10.1016/S0043-1648(00)00427-0   DOI
23 Boucly, V., Nélias, D., Green, I., "Modeling of the Rolling and Sliding Contact between two Asperities", J. Tribol., Vol.129, No.2, pp.235-245, 2007, https://doi.org/10.1115/1.2464137   DOI
24 Archard, J. F., "Contact and Rubbing of Flat Surfaces", J. Appl Phys., Vol.24, No.8, pp.981-988, 1953, https://doi.org/10.1063/1.1721448   DOI