MODEL INSPIRED BY POPULATION GENETICS TO STUDY FRAGMENTATION OF BRITTLE PLATES

M. A. F. Gomes () and Viviane M. de OLIVEIRA ()
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M. A. F. Gomes: Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife, PE, Brazil
Viviane M. de OLIVEIRA: Departamento de Estatística e Informática, Universidade Federal Rural de Pernambuco, 52171-900, Recife-PE, Brazil

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 12, 1997-2006

Abstract: We use a model whose rules were inspired by population genetics and language competition, the random capability growth model, to describe the statistical details observed in experiments of fragmentation of brittle plate-like objects, and in particular the existence of (i) composite scaling laws, (ii) small critical exponents τ associated with the power-law fragment-size distribution, and (iii) the typical pattern of cracks. The proposed computer simulations do not require numerical solutions of Newton's equations of motion, nor several additional assumptions normally used in discrete element models. The model is also able to predict some physical aspects which could be tested in new experiments of fragmentation of brittle systems.

Keywords: Brittle fracture; fracture dynamics; fragmentation dynamics; 46.50.+a; 62.20.Mk; 91.60.Ba (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S012918310701187X

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