Two-dimensional model for binary fragmentation process with random system of forces, random stopping and material resistance

Gonzalo Hernandez

Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 1-8

Abstract: This work presents the numerical results obtained from large-scale parallel distributed simulations of a self-similar model for two-dimensional discrete in time and continuous in space binary fragmentation. Its main characteristics are: (1) continuous material; (2) uniform and independent random distribution of the net forces, denoted by fx and fy, that produce the fracture; (3) these net forces act at random positions of the fragments and generate the fracture following a maximum criterion; (4) the fragmentation process has the property that every fragment fracture stops at each time step with an uniform probability p; (5) the material presents an uniform resistance r to the fracture process. Through a numerical study was obtained an approximate power law behavior for the small fragments size distribution for a wide range of the main parameters of the model: the stopping probability p and the resistance r. The visualizations of the model resemble real systems. The approximate power law distribution is a non-trivial result, which reproduces empirical results of some highly energetic fracture processes.

Keywords: Fragmentation process; Random system of forces; Random stopping; Resistance; Large-scale simulations (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:1-8

DOI: 10.1016/S0378-4371(03)00032-3

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