Abstract
We consider the dynamic process of the frictional sliding of an elastic body on a rigid foundation. Friction is modeled with a Coulomb law with a possible dependence on the slip velocity. To keep the possibility of occurence of velocity discontinuities we use the elastodynamic (hyperbolic) framework. Nevertheless this does not allow to get a well-posed problem. To make up for this we perturb the solution of the elastodynamic problem in a thin layer next to the contact boundary. This is a generalization of an approach precedently given in a one-dimensional case. We establish existence and uniqueness results for this perturbed problem and give an a priori estimate and results for some non-perturbed problems.
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© 2002 Springer Science+Business Media Dordrecht
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Paumier, JC., Renard, Y. (2002). Elastodynamic Friction Problem with a “Surface Inertia” Perturbation. In: Contact Mechanics. Solid Mechanics and Its Applications, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1154-8_31
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DOI: https://doi.org/10.1007/978-94-017-1154-8_31
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6099-0
Online ISBN: 978-94-017-1154-8
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