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
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