Granular material is showing very often in geotechnical engineering, petroleum engineering, material science and physics. The packings of the granular material play a very important role in their mechanical behaviors, such as stress-strain response, stability, permeability and so on. Although packing is such an important research topic that its generation has been attracted lots of attentions for a long time in theoretical, experimental, and numerical aspects, packing of granular material is still a difficult and active research topic, especially the generation of random packing of non-spherical particles. To this end, we will generate packings of same particles with same shapes, numbers, and same size distribution using geometry method and dynamic method, separately. Specifically, we will extend one of Monte Carlo models for spheres to ellipsoids and poly-ellipsoids.

翻译：颗粒材料在岩土工程、石油工程、材料科学和物理学中极为常见。颗粒材料的堆积对其力学行为（如应力-应变响应、稳定性、渗透性等）起着至关重要的作用。尽管堆积作为重要研究课题长期在理论、实验和数值方面备受关注，但颗粒材料的堆积仍是一个困难且活跃的研究课题，尤其是非球形颗粒随机堆积的生成。为此，本文将分别采用几何方法和动力学方法生成具有相同形状、数量及粒径分布的颗粒堆积。具体而言，我们将把适用于球体的蒙特卡罗模型之一推广至椭球体及多椭球体。