Abstract
In this work, we will presente a comparison of two formulation for the discretization of elastodynamic contact problems. The first approach consists on a midpoint scheme and a contact condition expressed in terms of velocity. This approach gives an energy conserving scheme. The second one we propose is a new distribution of the solid mass. The problem expressed with the new mass matrix is well posed, energy conserving and has a lipschitz solution. Finally, some numerical results are presented.
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Khenous, H., Laborde, P., Renard, Y. (2006). On the discretization of contact problems in elastodynamics. 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_4
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DOI: https://doi.org/10.1007/3-540-31761-9_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31760-9
Online ISBN: 978-3-540-31761-6
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