论文标题
无序介质的空间结构：阐明颗粒材料中疾病的机械意义
Spatial structure of disordered media: Unravelling the mechanical significance of disorder in granular materials
论文作者
论文摘要
二十年来，微观结构在大量谷物集合的机械行为中的重要性一直是一项激烈研究的话题。已经开发出许多方法来研究颗粒材料中的微观结构，基于局部或介绍措施，或使用诸如渗透理论，复杂网络和持续同源的各个领域的思想。但是，我们不完全理解微观结构在简单和普遍的包装的机械行为中的作用，例如一堆沙子或谷物盒。在这里，通过表征局部微观结构的空间变化，我们发现了在重力影响下沉积的粒子包装中的大规模空间模式。我们详细介绍了这些模式的出现，并提供了统一的基本解释，对粒状材料（例如中央应力最小值和詹森效应）的经典和令人困惑的机械行为。此外，我们显示了空间结构对制备历史，颗粒的尺寸分布和边界条件的巨大依赖性。我们的研究揭示了局部无序培养基中全球空间结构的存在，并阐明了其在颗粒材料的机械行为中的重要性。
For two decades now, the importance of microstructure in the mechanical behaviour of a large collection of grains has been a topic of intense research. Many approaches have been developed to study the microstructure in granular materials, based on local or mesoscopic measures or using ideas from diverse fields like percolation theory, complex networks and persistent homology. However, we do not fully understand the role of microstructure in the mechanical behaviour of simple and commonplace packings like a pile of sand or box of grains. Here, by characterizing the spatial variation of local microstructure, we uncover intriguing large-scale spatial patterns in particle packings deposited under the influence of gravity. We detail the emergence of these patterns, and provide a unified fundamental explanation of classic and puzzling mechanical behaviours of granular materials like central stress minimum and Janssen effect. Further, we show the striking dependence of spatial structure on the history of preparation, size distribution of particles and boundary conditions. Our study reveals the existence of global spatial structure in a locally disordered media, and elucidates its significance in the mechanical behaviour of granular materials.
