A statistical model of aggregate fragmentation

Texto completo
Autor(es):	Spahn, F. ^[1] ; Vieira Neto, E. ^[2] ; Guimaraes, A. H. F. ^[3] ; Gorban, A. N. ^[4] ; Brilliantov, N. V. ^[5] Número total de Autores: 5
Afiliação do(s) autor(es):	^[1] Univ Potsdam. Inst Phys ^[2] Univ Estadual Paulista. Grp Dinam Orbital & Planetol ^[3] Univ Estadual Paulista. Grp Dinam Orbital & Planetol ^[4] Univ Leicester. Dept Math ^[5] Univ Leicester. Dept Math Número total de Afiliações: 5
Tipo de documento:	Artigo Científico
Fonte:	NEW JOURNAL OF PHYSICS; v. 16, JAN 17 2014.
Citações Web of Science:	0
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. (AU)

Processo FAPESP:	11/08171-3 - Dinâmica orbital de pequenos corpos
Beneficiário:	Othon Cabo Winter
Modalidade de apoio:	Auxílio à Pesquisa - Temático