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Phys. Rev. E 59, 2623–2632 (1999)

Transition from damage to fragmentation in collision of solids

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Ferenc Kun1,2,* and Hans J. Herrmann1
1Institute for Computer Applications (ICA1), University of Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany
2Department of Theoretical Physics, Kossuth Lajos University, P.O. Box 5, H-4010 Debrecen, Hungary

Received 17 September 1998; published in the issue dated March 1999

See accompanying Physics Focus

We investigate fracture and fragmentation of solids due to impact at low energies using a two-dimensional dynamical model of granular solids. Simulating collisions of two solid disks, we show that, depending on the initial energy, the outcome of a collision process can be classified into two states: a damaged state and a fragmented state, with a sharp transition in between. We give numerical evidence that the transition point between the two states behaves as a critical point, and we discuss the possible mechanism of the transition.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.2623
DOI:
10.1103/PhysRevE.59.2623
PACS:
64.60.Ak, 46.50.+a

*Electronic address: feri@ica1.uni-stuttgart.de