Schematic models for fragmentation of brittle solids in one and two dimensions |
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Authors: | FPM dos Santos R DonangeloSR Souza |
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Institution: | Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil |
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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. |
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Keywords: | Fracture Size distributions Power law |
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