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非常常见。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）起着非常重要的作用。尽管堆积是一个重要的研究课题，长期以来在理论、实验和数值方面吸引了大量关注，但颗粒材料的堆积仍然是一个困难且活跃的研究课题，尤其是非球形颗粒的随机堆积生成。为此，我们将分别使用几何方法和动力学方法生成具有相同形状、数量和相同粒径分布的颗粒堆积。具体而言，我们将把针对球体的蒙特卡洛模型之一推广到椭圆体和多椭圆体。