Two-dimensional densely ordered packings of non-convex bending and assembled rods--颗粒学报PARTICUOLOGY

Meng, L., Yao, X., & Zhang, X. (2020). Two-dimensional densely ordered packings of non-convex bending and assembled rods. Particuology, 50, 35-42. https://doi.org/10.1016/j.partic.2019.05.003

Two-dimensional densely ordered packings of non-convex bending and assembled rods

Lingyi Meng ^{a b}, Xiaohu Yao ^a *, Xiaoqing Zhang ^{a b}

a Department of Mechanics Engineering, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China
b State Key Laboratory for Strength and Vibration of Mechanical Structure, Xi’an 710049, China

10.1016/j.partic.2019.05.003

Volume 50, June 2020, Pages 35-42

Received 7 November 2018, Revised 10 May 2019, Accepted 16 May 2019, Available online 16 July 2019, Version of Record 7 April 2020.

E-mail: yaoxh@scut.edu.cn

Highlights

• Two typical densely packed structures of C-bending rods are reported.

• Six shapes of assembled rods have three types of densely packed structure.

• Densities of 2D dense packing patterns are functions of shape parameters.

Abstract

The investigation of the problem of particle packing has provided basic insights into the structure, symmetry, and physical properties of condensed matter. Dense packings of non-spherical particles have many applications, both in research and industry. We report the two-dimensional dense packing patterns of bending and assembled rods, which are non-convexly deformed from simple objects and modeled as entangled particles. Monte Carlo simulations and further analytical constructions are carried out to explore possible densely packed structures. Two typical densely packed structures of C-bending rods are found, and their packing densities are identified as being functions of the aspect ratio and central angle. Six shapes of assembled rods, representing the combined deformations of rods, are employed in simulations with the packing structures classified into three types. The dense packing density of each packing pattern is derived as a function of different shape parameters. In contrast with the case of disordered packings, both the shape and order are verified to affect the packing density.

Graphical abstract

Keywords

Dense packings; Non-convex; Two-dimensional; Packing density

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