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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Acknowledgments
The authors acknowledge the financial supports by the National Key Research and Development Program of China (2016YFF0204305), the National Natural Science Foundation of China (51775460 and 51905456), and the China Postdoctoral Science Foundation (2019M653836XB).
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Xiaogang ZHANG. He received his Ph.D. degree in mechanical in 2017 from The University of New South Wales Australia. He joined the Tribology Research Institute at Southwest Jiaotong University as an assistant researcher in 2018. His current research interests focus on the fundaments of tribology and biotribology.
Yali ZHANG. She received her Ph.D. degree in mechanical engineering in 2013 from Xi’an Jiaotong University, China. She joined the School of Mechanical Engineering at Southwest Jiaotong University as a lecturer in 2015. Her current research interests focus on the biotribology of artificial joints.
Zhongmin JIN. He received his Ph.D. degree in mechanical engineering in 1984 from University of Leeds, UK. He joined the School of Mechanical Engineering at Southwest Jiaotong University (SWJTU) from 2015. His current position is a professor and the dean of the SWJTU-Leeds Joint School. His current research interests include biotribology, biomechanics and medical devices, artificial joint design and manufacturing, and tissue engineering.
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Zhang, X., Zhang, Y. & Jin, Z. A semi-analytical approach to the elastic loading behaviour of rough surfaces. Friction 8, 970–981 (2020). https://doi.org/10.1007/s40544-019-0320-4
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DOI: https://doi.org/10.1007/s40544-019-0320-4