A statistical model of aggregate fragmentation
Carregando...
Arquivos
Data
2014-01-17
Autores
Spahn, F.
Vieira Neto, E. [UNESP]
Guimaraes, A. H. F. [UNESP]
Gorban, A. N.
Brilliantov, N. V.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Iop Publishing Ltd
Resumo
A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process-a crack moves against the stress gradient while dissipating energy during its growth. We perform numerical simulations of the model for two-dimensional lattice and reveal that the mass distribution for small-and intermediate-size fragments obeys a power law, F(m) proportional to m(-3/2), in agreement with experimental observations. We develop an analytical theory which explains the detected power law and demonstrate that the overall fragment mass distribution in our model agrees qualitatively with that one observed in experiments.
Descrição
Palavras-chave
Como citar
New Journal Of Physics. Bristol: Iop Publishing Ltd, v. 16, 11 p., 2014.