Generic behaviours in impact fragmentationN. Sator1, S. Mechkov1, 2 and F. Sausset1
1 Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie (Paris 6), UMR CNRS 7600 - 4 place Jussieu, 75252 Paris Cedex 05, France
2 Laboratoire de Physique Statistique, Ecole Normale Supérieure - 24 rue Lhomond, 75231 Paris Cedex 05, France
received 24 September 2007; accepted in final form 18 December 2007; published February 2008
published online 24 January 2008
We present a simple numerical model for investigating the general properties of fragmentation. By use of molecular dynamics simulations, we study the impact fragmentation of a solid disk of interacting particles with a wall. Regardless of the particular form of the interaction potential, the fragment size distribution exhibits a power law behaviour with an exponent that increases logarithmically with the energy deposited in the system, in agreement with experiments. We expect this behaviour to be generic in fragmentation phenomena.
46.50.+a - Fracture mechanics, fatigue and cracks.
62.20.Mk - Fatigue, brittleness, fracture, and cracks.
89.75.Da - Systems obeying scaling laws.
© EPLA 2008