Schematic models for fragmentation of brittle solids in one and two dimensions

F.P.M. dos Santos, R. Donangelo and S.R. Souza

Physica A: Statistical Mechanics and its Applications, 2007, vol. 374, issue 2, 680-690

Abstract: Stochastic models for the development of cracks in 1D and 2D objects are presented. In one dimension, we focus on particular scenarios for interacting fragments (IF1) and non-interacting fragments (NIF1) during the breakup process. For 2D objects, we consider only NIF1, but analyze isotropic and anisotropic development of fissures. Analytical results are given for many observables. Power-law size distributions are predicted for some of the fragmentation pictures considered.

Keywords: Fracture; Size distributions; Power law (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:374:y:2007:i:2:p:680-690

DOI: 10.1016/j.physa.2006.08.058

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