中文摘要：

基于颗粒材料的多尺度结构,探讨和搭建微观结构与宏观力学行为之间的联系,研究新的关系式来解决跨尺度耦合的过程是颗粒材料研究的挑战之一。由于微观结构层次的非平衡性和强相互作用,对微观物理量和几何参数的统计描述可以提供连接微细观运动与宏观力学行为之间的联系。本文介绍了颗粒材料不同结构层次的统计参数,总结了研究者关于统计参数与力学概念之间关系的成果,得出对于颗粒材料,正确选取微观参数并予以采用科学的统计方法,是准确预测宏观力学行为的关键。

英文摘要：

Based on Multi-scale structure of granular materials, it is one of the challenges of granular materials research to set up the connection between the microscopic structure and macroscopic mechanical behavior and explore new formula to solve the coupled across scales process. Due to nonequilibrium and strong interaction of the microstructure, a statistical description of microcosmic physical quantities and geometrical parameters can provide the connection between the micro motion and macroscopic mechanical behavior. This paper introduces the statistical parameters of different structure levels of the granular material and summarizes achievements of the researchers about the relationship between the statistical parameters and the mechanical concept. It is concluded that for granular materials, correct selection of microscopic parameters and using scientific statistical methods are key to predict the macroscopic behavior.