Abstract
The paper reviews the frictionless collision problem in rigid body dynamics. Newton’s and Poisson’s impact laws are stated in inequality form for one collision point and extended by superposition to multicontact configurations. One special case within this framework are impacts with global dissipation index, for which it is shown that Newton’s impact law reduces to Moreau’s impact rule and that both of them coincide with Poisson’s law when a certain kinematic compatibility condition is met. A geometrical interpretation of this impact law is given for a tangentially regular boundary and then extended to re-entrant corners.
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Glocker, C. (2004). Newton’s and Poisson’s Impact Law for the Non-Convex Case of Reentrant Corners. In: Complementarity, Duality and Symmetry in Nonlinear Mechanics. Advances in Mechanics and Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9577-0_6
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DOI: https://doi.org/10.1007/978-90-481-9577-0_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-015-7119-7
Online ISBN: 978-90-481-9577-0
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