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

Author

Listed:
  • dos Santos, F.P.M.
  • Donangelo, R.
  • Souza, S.R.

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.

Suggested Citation

  • dos Santos, F.P.M. & Donangelo, R. & Souza, S.R., 2007. "Schematic models for fragmentation of brittle solids in one and two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 680-690.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:680-690
    DOI: 10.1016/j.physa.2006.08.058
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    Cited by:

    1. Kishimura, Hiroaki & Noguchi, Daisuke & Preechasupanya, Worrayut & Matsumoto, Hitoshi, 2013. "Impact fragmentation of polyurethane and polypropylene cylinder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5574-5580.

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