Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (5): 965-984.doi: https://doi.org/10.1007/s10483-026-3380-6

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Mixed elastohydrodynamic lubrication contact of piezoelectric materials with different Gaussian rough surfaces

Zhengzhe XIE1, S. EL-BORGI2, Jie SU1,3,(), Liaoliang KE1   

  1. 1.School of Mechanical Engineering, Tianjin University, Tianjin 300350, China
    2.College of Science and Engineering, Hamad Bin Khalifa University, Doha 34110, Qatar
    3.National Key Laboratory of Vehicle Power System, Tianjin 300350, China
  • Received:2025-12-22 Revised:2026-03-03 Published:2026-05-06
  • Contact: Jie SU, E-mail: jiesu@tju.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12021002; 12192212; 12072226);Project supported by the National Natural Science Foundation of China (Nos. 12021002, 12192212, and 12072226)

Abstract:

The mixed elastohydrodynamic lubrication (EHL) behavior of a smooth, rigid, insulating cylindrical indenter in contact with transversely isotropic piezoelectric half-planes possessing Gaussian-distributed surface roughness is analyzed. Three distinct surface topographies are considered: longitudinally oriented, isotropic, and transversely oriented. The lubricant is assumed to exhibit non-Newtonian flow characteristics, and its density and viscosity are modeled to be pressure-dependent. A modified Reynolds equation, incorporating both pressure and shear flow factors, is utilized to compute the hydrodynamic pressure distribution within the lubricating film. An iterative computational scheme is developed for the coupled resolution of the modified Reynolds equation, flow rheology equations, asperity contact pressure equation, load balance equation, and film thickness equation. Parametric investigations are conducted to examine the influence of the total normal load, entrainment velocity, hydrodynamic roughness parameter, slide-to-roll ratio, contact roughness parameter, and surface pattern parameter on the film thickness, asperity contact pressure, and fluid hydrodynamic pressure. The results obtained may provide valuable insights for mitigating surface degradation at piezoelectric contact interfaces and enhancing the operational reliability of associated electromechanical systems.

Key words: contact mechanics, mixed elastohydrodynamic lubrication (EHL), Gaussian rough surface, piezoelectric material, iterative method

2010 MSC Number: 

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