Discrete model for fragmentation with random stopping

Gonzalo Hernández

Physica A: Statistical Mechanics and its Applications, 2001, vol. 300, issue 1, 13-24

Abstract: In this work, we present the numerical results obtained from large scale parallel and distributed simulations of a model for two- and three-dimensional discrete fragmentation. Its main features are: (1) uniform and independent random distribution of the forces that generate the fracture; (2) deterministic criteria for the fracture process at each step of the fragmentation, based on these forces and a random stopping criteria. By large scale parallel and distributed simulations, implemented over a heterogeneous network of high performance computers, different behaviors were obtained for the fragment size distribution, which includes power law behavior with positive exponents for a wide range of the main parameter of the model: the stopping probability. Also, by a sensitive analysis we prove that the value of the main parameter of the model does not affect these results. The power law distribution is a non-trivial result which reproduces empirical results of some highly energetic fracture processes.

Keywords: Discrete fragmentation; Maximum force fracture; Random stopping (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:300:y:2001:i:1:p:13-24

DOI: 10.1016/S0378-4371(01)00343-0

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