Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 7, No. 24 (2013)

Fractal statistics of brittle fragmentation

Author and affiliation details
DOI
10.3221/IGF-ESIS.24.05
Pages
Pages 60-68
Published
Published inVol. 7, No. 24 (2013)Go to the issue

Abstract

The study of fragmentation statistics of brittle materials that includes four types of experiments is presented. Data processing of the fragmentation of glass plates under quasi-static loading and the fragmentation of quartz cylindrical rods under dynamic loading shows that the size distribution of fragments (spatial quantity) is fractal and can be described by a power law. The original experimental technique allows us to measure, apart from the spatial quantity, the temporal quantity - the size of time interval between the impulses of the light reflected from the newly created surfaces. The analysis of distributions of spatial (fragment size) and temporal (time interval) quantities provides evidence of obeying scaling laws, which suggests the possibility of selforganized criticality in fragmentation. 

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 0 days
  3. Published

How to cite

APA

Davydova, M., & Uvarov, S. (2013). Fractal statistics of brittle fragmentation. Fracture and Structural Integrity, 7(24), Pages 60–68. https://doi.org/10.3221/IGF-ESIS.24.05

IEEE

M. Davydova and S. Uvarov, “Fractal statistics of brittle fragmentation,” Fracture and Structural Integrity, vol. 7, no. 24, pp. Pages 60–68, 2013, doi: 10.3221/IGF-ESIS.24.05.

MLA

Davydova, M., and S. Uvarov. “Fractal statistics of brittle fragmentation.” Fracture and Structural Integrity, vol. 7, no. 24, 2013, pp. Pages 60–68. https://doi.org/10.3221/IGF-ESIS.24.05.

Chicago

Davydova, M., and S. Uvarov. 2013. “Fractal statistics of brittle fragmentation.” Fracture and Structural Integrity 7 (24): Pages 60–68. https://doi.org/10.3221/IGF-ESIS.24.05.

Harvard

Davydova, M. and Uvarov, S. (2013) ‘Fractal statistics of brittle fragmentation’, Fracture and Structural Integrity, 7(24), pp. Pages 60–68. doi: 10.3221/IGF-ESIS.24.05.

Vancouver

Davydova M, Uvarov S. Fractal statistics of brittle fragmentation. Fracture and Structural Integrity. 2013;7(24):Pages 60-68. doi:10.3221/IGF-ESIS.24.05

BibTeX

@article{davydova2013, author = {Davydova, M. and Uvarov, S.}, title = {Fractal statistics of brittle fragmentation}, journal = {Fracture and Structural Integrity}, year = {2013}, volume = {7}, number = {24}, pages = {Pages 60--68}, doi = {10.3221/IGF-ESIS.24.05}, url = {https://doi.org/10.3221/IGF-ESIS.24.05}, issn = {1971-8993} }

RIS

TY - JOUR AU - Davydova, M. AU - Uvarov, S. TI - Fractal statistics of brittle fragmentation JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2013 DA - 2013/03/20 VL - 7 IS - 24 SP - Pages 60 EP - 68 DO - 10.3221/IGF-ESIS.24.05 UR - https://doi.org/10.3221/IGF-ESIS.24.05 SN - 1971-8993 ER -

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