A minimum principle for contact forces in random packings of elastic frictionless particles

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• 作者：Hai Liu ; Shi-Hong Zhang ; Ming Cheng ; Hong-Wu Song ; Francesco Trentadue
• 关键词：Complementary energy ; Granular matter ; Random packing ; Contact force distribution
• 刊名：Granular Matter
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：17
• 期：4
• 页码：475-482
• 全文大小：943 KB
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• 作者单位：Hai Liu (1)
  Shi-Hong Zhang (1)
  Ming Cheng (1)
  Hong-Wu Song (1)
  Francesco Trentadue (2)
  
  1. Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang, 110016, China
  2. DICAR, Politecnico di Bari, Via Orabona 4, Bari, Italy
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Granular Media
  Industrial Chemistry and Chemical Engineering
  Engineering Fluid Dynamics
  Structural Foundations and Hydraulic Engineering
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-7636

文摘

A minimum principle is developed with the aim of determining the contact forces in a random packing of hard frictionless particles. The principle is an extension of the minimum complementary energy principle to this particular non linear mechanical system. Under the assumptions that a convex complementary energy exists and that relative displacements between particles are small, it allows us to synthesize the generation mechanism of the force network from an energetic point of view and provides, besides the existing methods (e.g. Discrete Element Method), a new method to analyze the contact force distribution in discrete particle systems. Here the contact force network in a packing of identical elastic frictionless spheres with Hertz contacts is determined and it is shown that it is unique and independent both by the value of the applied load and by the value of elastic constants. Numerical examples confirm that the contact forces so determined are consistent with previous experimental results.