Static Structure of Two-Dimensional Granular Chain

Abstract

Static Structure of Two-Dimensional Granular Chain * WEN Ping-Ping( ), LI Liang-Sheng( ), ZHENG Ning( ), SHI Qing-Fan( )

Bottom stresses of static packing of granular chains

“…The similar behavior between jamming state of granular chains with glass state of polymers was thus illustrated [17]. Our experiments subsequently revealed that statistical scaling characteristics of two-dimensional granular chains are in good accord with the theoretical expectations of polymer models [18][19][20].…”

“…The previous contributions on the static packing of granular chains mainly put emphasis on the packing structures near the jamming transition [17,21], or on an analogy between their statistical properties and theoretical predictions in polymer science [17][18][19][20], aiming to provide a possible way to uncover the physics that is experimentally inaccessible for polymers. Although the packing column confined in a container can also act as a simple but valid experimental system to test many theoretical models for the repartition or the transmission of stresses in granular materials [22][23][24][25], the mechanical behavior of the packing of granular chains did not receive enough attention until Brown et al revealed that a stress response in granular chains was very distinct from common grains, namely individual grains [26].…”

Force transmission during repose of flexible granular chains

“…Apart from the locking of the beads in the chain ensembles, which arises out of the reduced degrees of freedom for beads embedded in the chains, granular chain behaviour is also dictated by the topological entanglement or topological knotting of the chains, especially for the longer chain lengths. 35–39,43 This property is well-studied in polymer melts and textile fibres. 86–89 The looping, curving, and knotting of the chains restricts the movement of the chains and improves the rigidity of the ensemble.…”

“…Macroscopic flexible granular chains form an exciting class of granular materials and have a wide range of applications in engineering and manifestations in nature. 42 From a purely mechanistic perspective, flexible granular chains exhibit an array of intriguing properties such as shear stiffening, 35,41 jamming at very low densities, 37,39,43 higher rigidity at lower coordination numbers 36 and many other entanglement-induced emergent behaviours. 44…”

“…27,28 Another class is the geometric cohesion derived from particle morphologies wherein granular particles or a combination of particles act as flexible filaments, e.g. long glass rods, [29][30][31][32] polymer filaments, 6,33 flexible granular chains [34][35][36][37][38][39][40][41] etc. Because of their flexible nature, the interchain entanglement of these filaments imparts additional rigidity or cohesion to these ensembles.…”