Abstract
Numerical techniques have been developed for a few years in our laboratory aimed at computing the motion of collections of rigid or deformable bodies, taking into account the unilateral constraints of non-interpenetrability and, at possible contacts, friction. These techniques primarily apply to dynamical situations, so inertia terms play a central role in calculations. In the event of collision, velocity jumps should be expected. The latter accidents, as well as the nonsmooth character of the law of dry friction and the geometrical roughness of the set of configurations permitted by the non-interpenetrability conditions (say millions of inequalities in usual applications), make the problems in view belong to the field of Nonsmooth Mechanics. Our choice is to face nonsmoothness without resorting to regularizing approximation tricks such as artificial elasticity or artificial viscosity. Evolution is naturally treated through time-discretization: a dominant feature of our numerical integration schemes is that they are implicit, at least with regard to velocities.
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Moreau, J.J. (1995). Numerical Experiments in Granular Dynamics: Vibration-Induced Size Segregation. In: Raous, M., Jean, M., Moreau, J.J. (eds) Contact Mechanics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1983-6_47
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DOI: https://doi.org/10.1007/978-1-4615-1983-6_47
Publisher Name: Springer, Boston, MA
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