Fractal statistics of brittle fragmentation

被引:4
作者
Davydova, M. [1 ]
Uvarov, S. [1 ]
机构
[1] Russian Acad Sci, Inst Continuous Media Mech, Ural Branch, 1 Ac Korolev Str, Perm 614013, Russia
来源
FRATTURA ED INTEGRITA STRUTTURALE | 2013年 / 24期
基金
俄罗斯基础研究基金会;
关键词
Fragmentation of brittle materials; Fractal statistics; Self-organized criticality;
D O I
10.3221/IGF-ESIS.24.05
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 self-organized criticality in fragmentation.
引用
收藏
页码:60 / 68
页数:9
相关论文
共 50 条
  • [41] Fractal Characteristics of River Networks Induced by Dynamical Stochastic Replication
    Kim, Hyun-Joo
    FRACTAL AND FRACTIONAL, 2022, 6 (10)
  • [42] Record statistics of fracture in the random spring network model
    Senapati, Subrat
    Roy, Subhadeep
    Banerjee, Anuradha
    Rajesh, R.
    PHYSICAL REVIEW E, 2024, 110 (03)
  • [43] Analysis of the refugees' drowning events: the earthquakes' statistics analogy
    Khederlarian, Ashod
    Grant, Martin
    Halkort, Monika
    Najem, Sara
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (06)
  • [44] The Spatial Statistics of Self-organized in Power System
    Jiang, Nannan
    Ren, Hui
    Watts, David
    Liu, Ying
    Lu, Haitao
    Tian, Jiefu
    2018 INTERNATIONAL CONFERENCE ON POWER SYSTEM TECHNOLOGY (POWERCON), 2018, : 3974 - 3980
  • [45] Earthquakes, model systems and connections to q-statistics
    Celikoglu, Ahmet
    Tirnakli, Ugur
    ACTA GEOPHYSICA, 2012, 60 (03) : 535 - 546
  • [46] Loss of criticality in the avalanche statistics of sandpiles with dissipative sites
    Paguirigan, Antonino A., Jr.
    Monterola, Christopher P.
    Batac, Rene C.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 20 (03) : 785 - 793
  • [47] Common dependence on stress for the statistics of granular avalanches and earthquakes
    Hatano, Takahiro
    Narteau, Clement
    Shebalin, Peter
    SCIENTIFIC REPORTS, 2015, 5
  • [48] Effects of flare definitions on the statistics of derived flare distributions
    Ryan, D. F.
    Dominique, M.
    Seaton, D.
    Stegen, K.
    White, A.
    ASTRONOMY & ASTROPHYSICS, 2016, 592
  • [49] Statistics of avalanches in stochastic processes with a 1/fα spectrum
    Koverda, V. P.
    Skokov, V. N.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (09) : 1804 - 1812
  • [50] Modelling the influence of photospheric turbulence on solar flare statistics
    Mendoza, M.
    Kaydul, A.
    de Arcangelis, L.
    Andrade, J. S., Jr.
    Herrmann, H. J.
    NATURE COMMUNICATIONS, 2014, 5