大量实验结果表明，颗粒的形状对颗粒物质的流动有显著的影响。然而，现有的颗粒流连续介质理论基本上都是假设颗粒是球形的，不考虑颗粒形状的影响。发展普适的、统一的非球形颗粒流的连续介质模型具有重要的理论和应用价值。本项研究采用离散单元法（Discrete Element Method 或DEM）模拟凸多面体颗粒的剪切流动，系统的分析颗粒表面棱角对颗粒流动微观结构和宏观力学表现的影响，诠释微观颗粒性质和宏观行为的联系，建立考虑颗粒表面棱角影响的非球形颗粒流的应力本构模型，发展颗粒碰撞能量耗散率模型，进而完成颗粒流连续介质方程组的闭合，实现考虑颗粒表面棱角影响的颗粒流的连续介质模拟。本项研究的预期成果将推动真实颗粒（非球形、有棱角、颗粒间存在较大摩擦）流动理论和数值模拟的发展，为涉及颗粒流的工程生产实践提供更加准确、高效的分析工具，实现工业过程的优化设计。

Extensive experimental data show that particle shape has a significant impact on particle flow behavior. However, most of existing continuum theories for particle flows are based on the spherical particle assumption, and the effect of particle shape cannot be considered. Therefore, it is of great significance in theory and application to develop a general and unified continuum model for non-spherical particle flows. In the present project, the Discrete Element Method (DEM) is used to simulate granular shear flows of convex polyhedral particles. Based on the simulation results, the effect of particle surface angularity on the microstructure and macroscopic behavior is systematically analyzed, and the connection between particle-level and bulk properties is explored. Further, the constitutive law of stresses and collisional dissipation rate model are developed for non-spherical particles by considering the effect of particle angularity. With the developed models, the continuum governing equations for the granular flow can be closed, so that the continuum modeling of non-spherical particles with significant surface angularity is achieved. The proposed project makes an attempt to develop theories and computational approaches for the flows of real particles (usually non-spherical, angular, and frictional), provide accurate and efficient tools for the analyses of large-scale particle flows in industries, and therefore achieve the process optimization.