Analysis and convenient formulas for elasto-plastic contacts of nominally flat surfaces: Average gap, contact area ratio, and plastically deformed volume

W. Wayne Chen*, Q. Jane Wang, Yuchuan Liu, Wei Chen, Jiao Cao, Cedric Xia, Raj Talwar, Rick Lederich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Interaction of nominally flat engineering surfaces that leads to a large contact area exists in many mechanical systems. Considering periodic similarity of surface geometry, a numerical three-dimensional elasto-plastic contact model can be used to simulate the contact behaviors of two nominally flat surfaces with the assistance of the continuous convolution and Fourier transform (CC-FT) algorithm. This model utilizes the analytical frequency response functions (FRF) of elastic/plastic responses of materials and provides contact performance results, including the average surface gap, the contact area ratio, and the volume of plastically deformed material, which may be defined as performance variables. Following the digital filtration technology, rough surfaces can be numerically generated with specified autocorrelation length and the first four orders of statistical moments. A group of contact simulations are conducted with various working conditions. The effects of topographic and material properties on the contact behaviors are discussed. With a multi-variables regression method, empirical formulas are developed for the performance variables as functions of surface statistical characteristics, material properties, a hardening parameter, and the applied load in terms of pressure.

Original languageEnglish (US)
Pages (from-to)27-38
Number of pages12
JournalTribology Letters
Volume28
Issue number1
DOIs
StatePublished - Oct 2007

Keywords

  • Contact performance formulas
  • Elasto-plastic contact
  • Surface roughness

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films

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