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Discrete model for fragmentation with random stopping

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  • Hernández, Gonzalo

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.

Suggested Citation

  • Hernández, Gonzalo, 2001. "Discrete model for fragmentation with random stopping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 13-24.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:1:p:13-24
    DOI: 10.1016/S0378-4371(01)00343-0
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    Cited by:

    1. Hernandez, Gonzalo & Salinas, Luis & Avila, Andres, 2006. "n-ary fragmentation model with nearest point flaw and maximal net force fracture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 565-572.

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