Parametric Variational Principle of Viscoplastic Lubrication Model

[+] Author and Article Information
C. W. Wu, W. X. Zhong, L. X. Qian, L. C. Hu, S. M. Sun

Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China

J. Tribol 114(4), 731-735 (Oct 01, 1992) (5 pages) doi:10.1115/1.2920942 History: Received June 01, 1991; Revised January 30, 1992; Online June 05, 2008


An effective mathematical method to deal with the viscoplastic lubrication model is presented here by applying the parametric variational principle (Zhong, 1985). The plastic slippage of lubricant would occur at the lubricated surfaces under isothermal lubrication. The boundary tangential velocity, therefore, can be taken as the parametric vector (or the control vector) in variational process. The mathematical model of the original problem is finally reduced to a complementarity problem. The algorithm presented in this paper is simple and reliable and shows promise in engineering application.

Copyright © 1992 by The American Society of Mechanical Engineers
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