Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (7): 915-930.doi: https://doi.org/10.1007/s10483-021-2744-7

• Articles •     Next Articles

The size-dependent elastohydrodynamic lubrication contact of a coated half-plane with non-Newtonian fluid

Jie SU1, Hongxia SONG2, Liaoliang KE1, S. M. AIZIKOVICH3   

  1. 1. School of Mechanical Engineering, Tianjin University, Tianjin 300350, China;
    2. School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China;
    3. Laboratory of Functionally Graded and Composite Materials, Research and Education Center "Materials", Don State Technical University, Rostov-on-Don 344000, Russia
  • Received:2021-01-30 Revised:2021-04-06 Online:2021-07-01 Published:2021-06-24
  • Contact: Liaoliang KE, E-mail:llke@tju.edu.cn
  • Supported by:
    the National Natural Science Foundation of China (Nos. 11902217, 11725207, and 12011530056) and the Russian Foundation for Basic Research (No. 20-58-53045-GFEN-a)

Abstract: Based on the couple-stress theory, the elastohydrodynamic lubrication (EHL) contact is analyzed with a consideration of the size effect. The lubricant between the contact surface of a homogeneous coated half-plane and a rigid punch is supposed to be the non-Newtonian fluid. The density and viscosity of the lubricant are dependent on fluid pressure. Distributions of film thickness, in-plane stress, and fluid pressure are calculated by solving the nonlinear fluid-solid coupled equations with an iterative method. The effects of the punch radius, size parameter, coating thickness, slide/roll ratio, entraining velocity, resultant normal load, and stiffness ratio on lubricant film thickness, in-plane stress, and fluid pressure are investigated. The results demonstrate that fluid pressure and film thickness are obviously dependent on the size parameter, stiffness ratio, and coating thickness.

Key words: elastohydrodynamic lubrication (EHL), non-Newtonian fluid, size effect, couple-stress theory, coating

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals