Three-dimensional repeated elasto-plastic point contacts, rolling, and sliding

W. Wayne Chen*, Q. Jane Wang, Fan Wang, Leon M. Keer, Jian Cao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


Accumulative plastic deformation due to repeated loading is crucial to the lives of many mechanical components, such as gears, stamping dies, and rails in rail-wheel contacts. This paper presents a three-dimensional numerical model for simulating the repeated rolling or sliding contact of a rigid sphere over an elasto-plastic half-space. This model is a semi-analytical model based on the discrete convolution and fast Fourier transform algorithm. The half-space behaves either elastic-perfectly plastically or kinematic plastically. The analyses using this model result in histories of stress, strain, residual displacement, and plastic strain volume integral (PV) in the half-space. The model is examined through comparisons of the current results with those from the finite element method for a simple indentation test. The results of rolling contact obtained from four different hardening laws are presented when the load exceeds the theoretical shakedown limit. Shakedown and ratchetting behaviors are discussed in terms of the PV variation. The effect of friction coefficient on material responses to repeated sliding contacts is also investigated.

Original languageEnglish (US)
Pages (from-to)210211-2102112
Number of pages1891902
JournalJournal of Applied Mechanics, Transactions ASME
Issue number2
StatePublished - Mar 2008

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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