Single-particle fabric tensors for assemblies of spherical particles

• DOI: 10.1016/j.cma.2023.116722
• Publication Date: 2024-01-09T04:32:58Z
• Authors: Göran Frenning
• Keywords: Granular materials; Applied Mechanics; Teknisk mekanik; High relative density; Beräkningsmatematik; Solvent accessible surface area; 0211 other engineering and technologies; 02 engineering and technology; Surface orientation tensor; Fabric tensor; Computational Mathematics; Contact geometry

A novel method to calculate single-particle fabric tensors and related geometric characteristics (contact, free and particle area, particle volume and contact centroid) of assemblies of spherical particles has been developed. A standard contact detection stage is used to identify overlapping particles. The shape of each contact region is obtained as the intersection of a circle, obtained in the absence of any contact impingement, and a convex polygon, determined by halfplane intersection based on directed lines obtained from the intersection of contact planes. An underlying power diagram is used to subdivide volume and area between particles, but calculations are performed particle-wise, resulting in an efficient algorithm with a structure ideally suited for parallelisation. Numerical tests performed on loose and dense particle assemblies and comparison (of single-particle free area and particle volume) with a reference method (POWERSASA) indicate that the method is robust and highly accurate. The method will be useful not only for geometric analysis but also as a basis for subsequent developments of strain measures and computational procedures for highly deformed granular materials. Moreover, it constitutes a viable alternative for calculation of solvent accessible surface areas, considering its robustness, efficiency and ease of parallelisation.