Abstract
When a rigid body slides with friction on a surface, hopping motion is observed: this is an everyday phenomenon. In rigid bodies mechanics, this phenomenon appears when it is no longer possible to compute the reaction contact forces. The difficulty is overcome by a motion theory involving velocity discontinuities. Velocity discontinuities may result either from an obstacle which makes impossible to compute the acceleration: this is a cinematic incompatibility or from the impossibility to compute the reaction forces: this is a sthenic incompatibility. We describe two examples: the Klein and Painlevé sthenic incompatibilities.
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References
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Frémond, M., Isabella-Valenzi, P. (2006). Sthenic incompatibilities in rigid bodies motion. In: Wriggers, P., Nackenhorst, U. (eds) Analysis and Simulation of Contact Problems. Lecture Notes in Applied and Computational Mechanics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31761-9_17
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DOI: https://doi.org/10.1007/3-540-31761-9_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31760-9
Online ISBN: 978-3-540-31761-6
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