On the Adaptation of Local Impact Laws for Multiple Impact Problems

ALEJANDRO COSIMO; FEDERICO CAVALIERI; ALBERTO CARDONA; OLIVIER BRULS

Grenoble

Conferencia; ENOC 2020; 2020

We propose a description of frictionless multiple impact phenomena as a sequence of impact problems in a vanishing time interval. This approach assumes a rigid behavior of the bodies in contact and a local impact model based on the classical Newton impact law. The impact sequence is defined by a local activation criterion which filters contacts with zero pre-impact velocity. The algorithm is implemented in the framework of the nonsmooth generalized-α time stepping scheme. Several examples such as the Newton?s cradle and the billiard break demonstrate that the method significantly extends the range of applications of the local Newton impact law.