徐永福, 王益栋, 奚悦, 褚飞飞. 2014: 岩石颗粒破碎的尺寸效应. 工程地质学报, 22(6): 1023-1027. DOI: 10.13544/j.cnki.jeg.2014.06.001
    引用本文: 徐永福, 王益栋, 奚悦, 褚飞飞. 2014: 岩石颗粒破碎的尺寸效应. 工程地质学报, 22(6): 1023-1027. DOI: 10.13544/j.cnki.jeg.2014.06.001
    XU Yongfu, WANG Yidong, XI Yue, CHU Feifei. 2014: SIZE EFFECT ON CRUSHING OF ROCK PARTICLES. JOURNAL OF ENGINEERING GEOLOGY, 22(6): 1023-1027. DOI: 10.13544/j.cnki.jeg.2014.06.001
    Citation: XU Yongfu, WANG Yidong, XI Yue, CHU Feifei. 2014: SIZE EFFECT ON CRUSHING OF ROCK PARTICLES. JOURNAL OF ENGINEERING GEOLOGY, 22(6): 1023-1027. DOI: 10.13544/j.cnki.jeg.2014.06.001

    岩石颗粒破碎的尺寸效应

    SIZE EFFECT ON CRUSHING OF ROCK PARTICLES

    • 摘要: 固体颗粒破碎强度的尺寸效应是一种普遍存在的现象,冰块、岩石颗粒、陶瓷和混凝土块等的破碎强度都表现出随颗粒直径增加而减小的现象,分形模型为解释固体颗粒破碎强度的尺寸效应提供了可行的方法。本文采用Steacy和Sammis分形模型模拟了岩石颗粒压碎特征,分析岩石颗粒破碎后的颗粒分布规律,给出颗粒破碎分维的确定方法,建立颗粒压碎强度与粒径的理论关系,颗粒破碎强度与颗粒粒径的关系用分维D表示为fdD-3。已有的颗粒破碎分布的数据表明,岩石颗粒破碎的分维大约为2.50~2.60,颗粒破碎强度符合用分维表示的尺寸效应。

       

      Abstract: A significantsize effect is observed in tensile strength of solid particles such as ice, rock, ceramics and concrete. The tensile strength is not independent of the fragment size, but decreases with increasing size. Recent developments in fractal theory suggest that fractals may provide a more realistic representation of solid particles. In this paper, a fractal model for crushing of rock particle is constructed using the Steacy and Sammis model. The size effect of crushing strength is then derived. The size effect of the crushing strength is expressed by fdD-3. It is shown by the published data that the fractal dimension of the rock particle distribution is nearly 2.5-2.6. The size effect of crushing strength can be expressed by the fractal model for particle crushing.

       

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