颗粒柱和弹性环中结构的出现
Emergence of Structure in Columns of Grains and Elastic Loops
摘要：
仅使用岩石和弹性材料环就可以建造独立的承重结构。我们调查如何出现这些结构，并发现，必要的最大圈间距（临界间距）是一个功能的摩擦性能的晶粒和弹性的限制材料。我们推导出一个模型来理解这两种关系，这取决于一个结构的边缘处的晶粒的行为的简化。我们发现，更高的摩擦导致更大的稳定的颗粒颗粒和颗粒回路接触角，导致在一个简单的函数的摩擦临界间距，这取决于摩擦的一阶线性。另一方面，更高的抗弯刚度使环能够更好地包含颗粒的静水压力，我们使用水弹性尺度来理解。这些发现将阐明植物根系对污垢的稳定作用，并可能使仅使用颗粒材料和纤维来构建简单的无粘附结构成为可能。
英文摘要：
It is possible to build free-standing, load-bearing structures using only rocks and loops of elastic material. We investigate how these structures emerge, and find that the necessary maximum loop spacing (the critical spacing) is a function of the frictional properties of the grains and the elasticity of the confining material. We derive a model to understand both of these relationships, which depends on a simplification of the behavior of the grains at the edge of a structure. We find that higher friction leads to larger stable grain-grain and grain-loop contact angles resulting in a simple function for the frictional critical spacing, which depends linearly on friction to first order. On the other hand, a higher bending rigidity enables the loops to better contain the hydrostatic pressure of the grains, which we understand using a hydroelastic scale. These findings will illuminate the stabilization of dirt by plant roots, and potentially enable the construction of simple adhesion-less structures using only granular material and fiber.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
