期刊
SOFT MATTER
卷 17, 期 33, 页码 7662-7669出版社
ROYAL SOC CHEMISTRY
DOI: 10.1039/d1sm00787d
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资金
- DARPA [HR00111810004]
- NSF CMMI-CAREER through Mechanics of Materials and Structures [1454153]
- U.S. Department of Defense (DOD) [HR00111810004] Funding Source: U.S. Department of Defense (DOD)
Friction and elasticity are key factors affecting the stability of rock and loop structures, with a model derived to understand their relationship. Higher friction leads to larger stable grain-grain and grain-loop contact angles, resulting in a simple function for the frictional critical spacing, while higher bending rigidity enables the loops to better contain the hydrostatic pressure of the grains.
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.
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