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Energy dissipation from particulate systems undergoing a single particle crushing event

机译：经历单个颗粒破碎事件的颗粒系统的能量耗散

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摘要

The energy dissipation from particulate systems undergoing particle crushing is often assumed to scale solely with the increase in surface area, irrespective of the strain energy stored in the surrounding media. By analyzing ideal-ized particulate systems undergoing a single particle crushing event, this assumption is questioned and proven invalid. Two analysis types are considered. One represents the particulate system as an idealized assembly and then represents particle contact forces as members belonging to a periodic lattice. The other treats the particulate system as an elastic contin-uum. Different sizes of two and three dimensional particulate systems are considered, as well as isotropic and anisotropic confining stress states. The overall dissipation is shown to depend strongly on the dimensionality of the system, the anisotropy of the confining stress state and the elastic prop-erties of the system. The ratio between dissipation due to stored elastic energy redistribution from surrounding media and dissipation by fracture surface energy is calculated. The ratio is found to diminish with the increasing dimensionality of the system. It is also shown that this ratio is independent of the fracture surface energy of the material. The most rel-evant analysis of a three dimensional particulate system to accurately estimate this ratio seems to be a one dimensional analysis of the force chain containing the most heavily loaded particles.
机译：通常认为，与经历粉碎过程的颗粒系统无关，其能量耗散仅与表面积的增加成比例，而与存储在周围介质中的应变能无关。通过分析发生单个颗粒破碎事件的理想化颗粒系统，对该假设提出了质疑并证明是无效的。考虑两种分析类型。一个将粒子系统表示为理想化的组件，然后将粒子接触力表示为属于周期性晶格的成员。另一个将粒子系统视为弹性连续体。考虑了二维和三维颗粒系统的不同大小，以及各向同性和各向异性的约束应力状态。整体的耗散在很大程度上取决于系统的尺寸，约束应力状态的各向异性和系统的弹性特性。计算了由于存储的弹性能量从周围介质中重新分配而导致的耗散与由于断裂表面能而引起的耗散之间的比率。发现该比率随着系统尺寸的增加而减小。还表明该比率与材料的断裂表面能无关。准确估计此比例的三维微粒系统的最不相关分析似乎是包含最大负载颗粒的力链的一维分析。

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  • 来源
    《Granular matter》 |2013年第3期|299-314|共16页
  • 作者

    Adrian R. Russell; Itai Einav;

  • 作者单位

    Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering. The University of New South Wales, Sydney, NSW 2052, Australia;

    Particles and Grains Laboratory, School of Civil Engineering. The University of Sydney, Sydney, NSW 2006, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Particle crushing; Granular material; Energy methods; Analytic functions;

    机译：颗粒破碎;粒状材料;能源方法;分析功能;

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