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Rigid-Body Multiple Contact/Impact Models in Granular Materials

Bernard Brogliato
INRIA Rhone-Alpes
Genoble France

October 23, 2018 at  2:30 PM
Macdonald Engineering Room 267


In this talk three multiple impact models are presented: Moreau's law that uses a single global coefficient of restitution, the binary collisions model and the LZB approach which is en extension of the Darboux-Keller's approach. They are compared on chains of aligned spheres. It is concluded that the kinematic laws as Moreau's and the binary approach, have limited ranges of applicability when applied on such systems.


Bernard Brogliato graduated from the Ecole Normale Superieure de Cachan, Mechanical Engineering Dept., and he obtained his PhD in Automatic Control in 1991 at the National Polytechnic Institute of Grenoble (INPG). He has been working at INRIA Grenoble Rhone-Alpes since 2001. His research works concern non-smooth dynamical systems and dissipative systems (modelling, control, analysis), with applications in mechanics, circuits, optimal control and variable-structure systems. He authored and co-authored five monographs: Nonsmooth Mechanics (Springer CCE series, 3rd ed. 2016), Dissipative Systems Analysis and Control (with R. Lozano, B. Maschke, O. Egeland, Springer CCE series, 2nd ed. 2007), Numerical Methods for Nonsmooth Dynamical Systems (with V. Acary, Springer LNACM series vol.35, 2008), Nonsmooth Modelling and Simulation for Switched Circuits (with V. Acary, O. Bonnefon, Springer Verlag LNEE series vol.69, 2011), and Multiple Impacts in Dissipative Granular Chains (with N.S. Nguyen, Springer Verlag LNACM series vol.72, 2014).