Scaling of energy dissipation in crushing and fragmentation: a fractal and statistical analysis based on particle size distribution
Scaling of energy dissipation in crushing and fragmentation: a fractal and statistical analysis based on particle size distribution
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DOI：
10.1023/b:frac.0000045713.22994.f2
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发表时间：
2004-09-01
影响因子：
2.5
通讯作者：
Pugno, N
中科院分区：
文献类型：
--
作者：
Carpinteri, A;Lacidogna, G;Pugno, N
进行了大范围(1：10)混凝土试件在大范围(1：10)压碎下的广泛试验研究--甚至探索很小的试件尺寸(1 Cm)-以评估碎块尺寸分布对能量密度耗散和相关尺寸效应的影响。为了获得统计上显著的碎片产量以及给定样品中消耗的总能量，实验过程通常进行到大约-95%的应变，实际上对应于加载平台之间的初始碎片压实。实验碎片分析提出了颗粒大小分布的分形律；这简单地说，来自给定样品的碎片在每个观测尺度上呈现几何自相似。此外，实验还观察到了明显的尺寸效应。分形概念可以量化碎片尺寸分布和尺寸效应对耗散能量密度的影响，后者由产生的碎片的总表面积控制。实验结果与所提出的多尺度解释方法吻合较好。
An extensive experimental investigation on concrete specimens under crushing and fragmentation over a large scale range (1:10) - exploring even very small specimen dimensions (1 cm) - was carried out to evaluate the influence of fragment size distribution on energy density dissipation and related size effect. To obtain a statistically significant fragment production as well as the total energy dissipated in a given specimen, the experimental procedure was unusually carried out up to a strain of approximately -95%, practically corresponding to the initial fragment compaction between the loading platens. The experimental fragment analysis suggests a fractal law for the distribution in particle size; this simply means that fragments derived from a given specimen appear geometrically self-similar at each observation scale. In addition, clear size effects on dissipated energy density are experimentally observed. Fractal concepts permit to quantify the correlation between fragment size distribution and size effect on dissipated energy density, the latter being governed by the total surface area of produced fragments. The experimental results agree with the proposed multi-scale interpretation satisfactorily.