基于统计力学的能量法研究颗粒介质中的力分布
Force distribution in granular media studied by an energy method based on statistical mechanics
摘要：
本文提出了一种寻找颗粒试样在静力平衡时内部力分布的正确表达式的方法。该方法以统计力学为基础，通过研究弹性势能在颗粒间不同接触点之间的分配，得到颗粒间的力分布。用球的DEM模拟发现，弹性势的能量分布遵循玻色-爱因斯坦定律，并由此推导出力的分布。本文为用统计力学提供的工具研究粒状材料开辟了一条途径。
英文摘要：
In the present letter a method to find a proper expression for the force distribution inside a granular sample in static equilibrium is proposed. The method is based in statistical mechanics and the force distribution is obtained by studying how the potential elastic energy is divided among the different contacts between grains. It is found with DEM simulations with spheres that the elastic potential energy distribution follows a Bose Einstein law from which the force distribution is deduced. The present letter open a way in which granular materials can be studied with the tools provided by statistical mechanics.
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