Probabilistic characterization and simulation of realistic particle shape based on sphere harmonic representation and Nataf transformation

• Published in: Powder technology Vol. 360; pp. 209 - 220
• Main Authors: Nie, Jia-Yan, Li, Dian-Qing, Cao, Zi-Jun, Zhou, Bo, Zhang, Ai-Jun
• Format: Journal Article
• Language: English
• Published: Lausanne Elsevier B.V 15.01.2020; Elsevier BV
• Subjects: Computed tomography; Computer simulation; Discrete element method; Genetic transformation; Granular materials; image analysis; Image processing; micro-computed tomography; Morphology; Nataf transformation; Particle shape; powders; Probabilistic methods; Probability distribution; Sand; Shape effects; Spherical harmonic; Statistical analysis; Triaxial compression; uncertainty; Spherical harmonic; Triaxial compression; Particle shape; Discrete element method; Nataf transformation
• ISSN: 0032-5910; 1873-328X
• DOI: 10.1016/j.powtec.2019.10.007

Significant commitment of cost, man power, and time are often required for characterizing particle morphology of granular materials based on X-ray micro-computed tomography (μCT) scanning and image processing. As a result, only a small portion of particles can be scanned, leading to uncertainty in characterizing realistic particle shape. This paper develops a probabilistic method to characterize and simulate sand particle shape based on Sphere Harmonic (SH) analysis, where Nataf transformation is used to construct the joint probability distribution of SH shape descriptors and to generate their random samples for reconstructing virtual particles. The proposed approach was applied to characterizing and simulating particle shapes of Leighton Buzzard sand (LBS), and these simulated particles were used as clump templates for discrete element method to account for effect of realistic particle shape. It was shown that the proposed approach properly characterizes and simulates the particle shape of LBS in a probabilistic manner. [Display omitted] •A new probabilistic method is proposed to characterize realistic particle shape.•Realistic particle shape is represented by Sphere Harmonic analysis using CT data.•Joint PDF of particle shape descriptors is constructed using Nataf transformation.•Virtual particles are simulated by Nataf transformation and used as clump templates.•Effects of realistic particle shape on triaxial testing of sand are explored.