A Universal Method for Modeling and Characterizing Non-Circular Packing Systems Based on -Point Correlation Functions.

Materials (Basel)

Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, School of Civil Engineering & Mechanics, Yanshan University, Qinhuangdao 066004, China.

Published: August 2022


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Article Abstract

A universal method for modeling and characterizing non-circular particles is developed. The -point correlation functions ( = 1, 2 and 3) are efficiently computed with a GPU parallel computing procedure. An algorithm for dynamic packing of impenetrable non-circular particles is developed based on the fast estimation of overlap information using a one-point correlation function. The packing algorithm is independent of particle shape and proved to be reliable by examples of polygons and super-ellipses. In addition, penetrable packings are generated in an efficient and precise way. Using a two-point correlation function, these non-circular packs are accurately characterized and compared in terms of features such as penetrable and impenetrable, packing fraction and particle shape. In addition, three-point correlation functions are also illustrated and discussed.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9456632PMC
http://dx.doi.org/10.3390/ma15175991DOI Listing

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