Micromorphological characterization and random reconstruction of 3D particles based on spherical harmonic analysis

作     者：SHI Chong SHEN Jun-liang XU Wei-ya WANG Ru-bin WANG Wei 石崇;沈俊良;徐卫亚;王如宾;王伟

作者机构：Key Laboratory of Ministry of Education for Geomechanics and Embankment EngineeringHohai UniversityNanjing 210098China Institute of Geotechnical ResearchHohai UniversityNanjing 210098China 

出 版 物：《Journal of Central South University》 (中南大学学报（英文版）)

年 卷 期：2017年第24卷第5期

页      面：1197-1206页

核心收录：

学科分类：0810[工学-信息与通信工程] 0806[工学-冶金工程] 08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project(2015CB057903)supported by the National Basic Research Program of China Projects(51679071,51309089)supported by the National Natural Science Foundation of China Project(BK20130846)supported by the Natural Science Foundation of Jiangsu Province,China Project(2013BAB06B00)supported by the National Key Technology R&D Program,China Project(2015B06014)supported by the Fundamental Research Funds for the Central Universities,China 

主　　题：meso particle three-dimensional micromorphology spherical harmonic function random reconstruction multi-scale 

摘      要：The microscopic characteristics of skeletal particles in rock and soil media have important effects on macroscopic mechanical properties. A mathematical procedure called spherical harmonic function analysis was here developed to characterize micromorphology of particles and determine the meso effects in a discrete manner. This method has strong mathematical properties with respect to orthogonality and rotating invariance. It was used here to characterize and reconstruct particle micromorphology in three-dimensional space. The applicability and accuracy of the method were assessed through comparison of basic geometric properties such as volume and surface area. The results show that the micromorphological characteristics of reproduced particles become more and more readily distinguishable as the reproduced order number of spherical harmonic function increases, and the error can be brought below 5% when the order number reaches 10. This level of precision is sharp enough to distinguish the characteristics of real particles. Reconstructed particles of the same size but different reconstructed orders were used to form cylindrical samples, and the stress-strain curves of these samples filled with different-order particles which have their mutual morphological features were compared using PFC3D. Results show that the higher the spherical harmonic order of reconstructed particles, the lower the initial compression modulus and the larger the strain at peak intensity. However, peak strength shows only a random relationship to spherical harmonic order. Microstructure reconstruction was here shown to be an efficient means of numerically simulating of multi-scale rock and soil media and studying the mechanical properties of soil samples.