Rolling contact stress analysis with the application of a new plasticity model

Yanyao Jiang, Huseyin Sehitoglu

Research output: Contribution to journalArticlepeer-review


Previous elastic-plastic stress analyses of rolling contact have not produced accurate results of shear strain accumulation because the plasticity models applied in contact analysis were not designed to handle long term ratchetting behavior of a material. In this work, we studied the residual stresses and progressive shear strain ratchetting for the line rolling contact problems utilizing a recently developed semi-analytical approach in conjunction with a new plasticity model. The p0/k ratio ranges from 5.0 to 9.0 and the Q/P ratio ranges from -0.3 to 0.3, where p0 is the maximum Hertzian pressure, k is the yield stress in shear of the material, Q represents the total tangential force, and P is the total normal load. The material properties used in the simulations are those of 1070 steel with a pearlitic microstructure. It was found that the ratchetting rate of rolling surface movement rapidly decreases with increasing number of rolling passages(cycles) and ratchetting continues for many cycles. The simulations confirm that a driven wheel undergoes enhanced fatigue damage compared with a driving wheel. It is concluded that the pure rolling contact (Q/P = 0) produces "forward" surface movement. The tangential force plays a considerable role in the surface ratchetting but its influence on the residual stresses is insignificant. The overall residual stresses are mainly determined by the p0/ k ratio. Calculations were also conducted to simulate multiple passes of trains over a rail and the ratchetting in a locomotive driving wheel. A locomotive driving wheel produces "forward" surface ratchetting on the rail and car wheels following the driving wheels produce "backward" surface ratchetting on the rail. Most existing plasticity theorems are not capable of predicting this change in ratchetting direction. In the presence of multiple block loading histories a steady state ratchetting may not be reached.

Original languageEnglish (US)
Pages (from-to)35-44
Number of pages10
Issue number1-2
StatePublished - Jan 1996


  • Accumulated surface displacement
  • Plasticity model
  • Ratchetting
  • Residual stress
  • Rolling contact
  • Semi-analytical approach

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

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