A complementaritybased rolling friction model for rigid contacts
 Alessandro Tasora,
 Mihai Anitescu
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In this work (also, preprint ANL/MCSP30200812, Argonne National Laboratory) we introduce a complementaritybased rolling friction model to characterize dissipative phenomena at the interface between moving parts. Since the formulation is based on differential inclusions, the model fits well in the context of nonsmooth dynamics, and it does not require short integration timesteps. The method encompasses a rolling resistance limit for static cases, similar to what happens for sliding friction; this is a simple yet efficient approach to problems involving transitions from rolling to resting, and viceversa. We propose a convex relaxation of the formulation in order to achieve algorithmic robustness and stability; moreover, we show the side effects of the convexification. A natural application of the model is the dynamics of granular materials, because of the high computational efficiency and the need for only a small set of parameters. In particular, when used as a micromechanical model for rolling resistance between granular particles, the model can provide an alternative way to capture the effect of irregular shapes. Other applications can be related to realtime simulations of rolling parts in bearing and guideways, as shown in examples.
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 Title
 A complementaritybased rolling friction model for rigid contacts
 Journal

Meccanica
Volume 48, Issue 7 , pp 16431659
 Cover Date
 20130901
 DOI
 10.1007/s110120139694y
 Print ISSN
 00256455
 Online ISSN
 15729648
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Variational inequalities
 Contacts
 Rolling friction
 Multibody
 Complementarity
 Industry Sectors
 Authors

 Alessandro Tasora ^{(1)}
 Mihai Anitescu ^{(2)}
 Author Affiliations

 1. Dipartimento di Ingegneria Industriale, Università degli Studi di Parma, 43100, Parma, Italy
 2. Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL, 60439, USA