2004/04/02 by Bhupalendra Behera, Behera, Bhupalendra, Ferenc Kun +5
Engineering · Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Granular flow and fluidized beds #High-Velocity Impact and Material Behavior #Materials Science (cond-mat.mtrl-sci) #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0404057
7 pages, 9 figures included
arxiv created 2004/04/02 · openalex publication_date 2004/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 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.