Simple algorithms for solving steady-state frictional rolling contact problems in two and three dimensions


Journal Article

This paper presents simple, yet robust and efficient algorithms for solving steady-state, frictional, rolling/sliding contact problems, in two and three dimensions. These are alternatives to powerful, well established, but in particular instances, possibly 'cumbersome' general-purpose numerical techniques, such as finite-element approaches based on constrained optimization. The cores of the solvers rely on very general principles: (i) resolving motional conflicts, and (ii) eliminating unacceptable surface tractions. The proposed algorithms are formulated in the context of small deformations and applied to the cases of a rigid cylinder and a rigid sphere rolling on a linear viscoelastic layer of finite thickness, in two and three dimensions, respectively. The underlying principles are elucidated, relevant mathematical expressions derived and details given about corresponding implementation techniques. The proposed contact algorithms can be extended to more general settings involving a deformable indenter, material nonlinearities and large deformations. © 2012 Elsevier Ltd. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Zéhil, GP; Gavin, HP

Published Date

  • March 15, 2013

Published In

Volume / Issue

  • 50 / 6

Start / End Page

  • 843 - 852

International Standard Serial Number (ISSN)

  • 0020-7683

Digital Object Identifier (DOI)

  • 10.1016/j.ijsolstr.2012.11.021

Citation Source

  • Scopus