Abstract—A difficulty associated with widespread acceptance GW model is that there is no analytic expression for the parameters of interest at the interface. The probability density of asperity heights for nearly 90% of engineering surfaces tends to be Gaussian. Applying GW model simple exponential probability density to approximate the Gaussian one is not explicit for some cases. The evaluation of parabolic cylinder function was carried out by employing software Maple. Some practical closed form analytic expressions were derived for the contact load, contact area and contact spot number for both GW elastic contact model and CEB elastoplastic contact model by the generalized exponential probability density fitting the Gaussian one. Some main digital features of the two contacting rough surfaces were given in the tabulating form.
Index Terms—Surface roughness, partial lubrication regime, surface separation, individual asperity
The authors are with College of Mechanical and Material Engineering, China Three Gorges University, 443002, Yichang city Hubei province, the People’s Republic of China (e-mail: firstname.lastname@example.org).
Cite: Hongliang Tian, Chunhua Zhao, Dalin Zhu, and Hongling Qin, "Practical Expressions of Elastoplastic Contact between Rough Surfaces," International Journal of Modeling and Optimization vol. 2, no. 3, pp. 179-186, 2012.