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
  • [31] SELF-ORGANIZED CRITICALITY AND FLUID-ROCK INTERACTIONS IN THE BRITTLE FIELD
    MAIN, IG
    HENDERSON, JR
    MEREDITH, PG
    SAMMONDS, PR
    PURE AND APPLIED GEOPHYSICS, 1994, 142 (3-4) : 529 - 543
  • [32] Application of nonextensive statistics to particle and nuclear physics
    Wilk, G
    Wlodarczyk, Z
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) : 227 - 233
  • [33] Tsallis statistics and magnetospheric self-organization
    Pavlos, G. P.
    Karakatsanis, L. P.
    Xenakis, M. N.
    Sarafopoulos, D.
    Pavlos, E. G.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (11) : 3069 - 3080
  • [34] Statistics of static avalanches in a random pinning landscape
    Le Doussal, Pierre
    Middleton, A. Alan
    Wiese, Kay Joerg
    PHYSICAL REVIEW E, 2009, 79 (05):
  • [35] Statistics of thermomagnetic breakdown in Nb superconducting films
    Alvarez, S. Blanco
    Brisbois, J.
    Melinte, S.
    Kramer, R. B. G.
    Silhanek, A. V.
    SCIENTIFIC REPORTS, 2019, 9 (1)
  • [36] Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates
    Clemmer, Joel T.
    Robbins, Mark O.
    PHYSICAL REVIEW LETTERS, 2022, 129 (07)
  • [37] Quantitative evidence for the fractal nature of the stratigraphic record: results and implications
    Bailey, RJ
    Smith, DG
    PROCEEDINGS OF THE GEOLOGISTS ASSOCIATION, 2005, 116 : 129 - 138
  • [38] FRACTAL MODELING CENTER: THE DEVELOPMENT OF TOOLS FOR THE STUDY OF SOCIAL PHENOMENA
    Zhukov, D. S.
    Kanischev, V. V.
    Lyamin, S. K.
    Movchko, Y. I.
    VESTNIK PERMSKOGO UNIVERSITETA-ISTORIYA-PERM UNIVERSITY HERALD-HISTORY, 2014, 26 (03): : 13 - 26
  • [39] Empirical fractal geometry analysis of some speculative financial bubbles
    Redelico, Francisco O.
    Proto, Araceli N.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (21) : 5132 - 5138
  • [40] A fractal model of granitic intrusion and variability based on cellular automata
    Xiong, Yihui
    Zuo, Renguang
    Clarke, Keith C.
    COMPUTERS & GEOSCIENCES, 2019, 129 : 40 - 48