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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Zehil, Gerard-Philippe¹  Gavin, Henri P.¹ 

[1] Duke Univ, Dept Civil & Environm Engn, Durham, NC 27708 USA

关键词: Rolling contact;    Cylinder;    Sphere;    Viscoelastic layer;    Coulomb's friction;    Stick/slip contact;    Numerical algorithm;   

DOI  :  10.1016/j.ijsolstr.2012.11.021

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free