Summary
This paper extends the formulation of frictionless impact analysis of planar deformable bodies presented in [6] to frictional impact. In the approach presented in that paper, a linear complementarity problem (LCP) on position level based on the Signorini conditions for the impact problem of continua was formulated. For this purpose, the normal gap distance between possible contact points was represented in terms of normal impact forces. Now, in order to consider the friction, this formulation may be appended to the formulation of tangential contact forces developed for continual contact in [4, 5]. The key issue behind this approach arises from this fact that in the case of deformable bodies, the behavior of impact in the tangential direction is similar to that of the continual contact for a short period of time. However, it is obvious that this assumption is valid only for impact analysis of deformable bodies and in the case of rigid bodies impact analysis, these two events must be distinguished.
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Ebrahimi, S., Eberhard, P. (2007). Frictional Impact of Planar Deformable Bodies. In: Eberhard, P. (eds) IUTAM Symposium on Multiscale Problems in Multibody System Contacts. IUTAM Bookseries, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5981-0_3
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DOI: https://doi.org/10.1007/978-1-4020-5981-0_3
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