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non-linear friction in FE
We are looking at implementing a non-linear model with friction, and at least in the first place for statics. We haven't found much in the literature on non-linear models for friction in FE.
Anyone any advice on key papers to read ?
Thanks,
Chris
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hope it would help
Y.F. Gao*, "A Peierls perspective on mechanisms of atomic friction."Journal of the Mechanics and Physics of Solids, vol. 58, iss. 12, pp. 2023-2032, 2010 [PDF] [DOI].
Coulomb Friction
Dear Chris,
the following might help:
Laursen, T.A. (1992), Formulation and Treatment of Frictional
Contact
Problems Using Finite Elements, Ph.D. Dissertation, Department of
Mechanical
Engineering, Stanford University.
Kim, T.Y., J.E. Dolbow & T.A. Laursen (2007), "A Mortared Finite
Element Method for Frictional
Contact on Arbitrary Surfaces," Computational Mechanics, 39,
223-235.
From the mathematical side, a contact problem with Coulomb friction is modelled by variational inequalties. If it is this, what you are interested in, then
I suggest the following:
Contact
Problems in Elasticity: A Study of Variational Inequalities and Finite
Element Methods N.
Kikuchi and J.T. Oden 1988 / xiii + 495 pages / Softcover / ISBN-13:
978-0-898714-68-5 / ISBN-10: 0898714680
K. Fackeldey, R. Krause:
Solving Frictional Contact Problems with Multigrid Efficiency, Proc.of
the 16th International Conference on Domain Decomposition Methods,
Widlund, Olof B.; Keyes, David E. (Eds.), Lecture Notes in Computational
Science and Engineering,p. 547-554 Vol. 55 (2007).
I hope It will help you.
Best
Konstantin