Fragmentation of a circular disc by projectiles

dc.creatorBehera, Bhupalendra
dc.creatorKun, Ferenc
dc.creatorMcNamara, Sean
dc.creatorHerrmann, Hans J.
dc.date2004-04-02
dc.date.accessioned2026-07-07T02:57:25Z
dc.date.available2026-07-07T02:57:25Z
dc.descriptionThe fragmentation of a two-dimensional circular disc by lateral impact is investigated using a cell model of brittle solid. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic beams that break when bent or stretched beyond a certain limit. We found that the fragment mass distribution follows a power law with an exponent close to 2 independent of the system size. We also observed two types of crack patterns: radial cracks starting from the impact point and cracks perpendicular to the radial ones. Simulations revealed that there exists a critical projectile energy, above which the target breaks into numerous smaller pieces, and below which it suffers only damage in the form of cracks. Our theoretical results are in a reasonable agreement with recent experimental findings on the fragmentation of discs.
dc.description7 pages, 9 figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/0404057
dc.identifierhttp://arxiv.org/abs/cond-mat/0404057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23657
dc.subjectDisordered Systems and Neural Networks
dc.subjectMaterials Science
dc.titleFragmentation of a circular disc by projectiles
dc.typetext

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