Low-resolution spherical harmonics models in application to quasi-quadric particle shapes. Issue 4 (1st October 2016)

• Record Type: Journal Article
• Authors: Radvilaitė, Urtė; Ramírez-Gómez, Álvaro; Jaras, Arūnas; Kačianauskas, Rimantas; Rusakevičius, Dainius
• Is Part Of: Engineering structures and technologies. Volume 8:Issue 4(2016)
• Page Start: 131
• Page End: 142
• Publication Date: 2016-10-01
• Subjects: soil -- particle -- quasi-quadric shape -- spherical harmonics -- curvature -- contact; Structural engineering -- Periodicals; Structural engineering -- Research -- Periodicals; 624.105
• DOI: 10.3846/2029882X.2016.1268073
• Languages: English
• ISSNs: 2029-882X

Abstract

Abstract: In this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term "quasi" is used hereafter to indicate the monomeric, almost regular shaped, particle described by a single continuous function. This approach reflects the shape of a major part of soil minerals. It was shown, that even the simplest case of the suggested low-resolution harmonics technique with L = 1 showed sufficient accuracy. The main drawback of the suggested approach was that the low-resolution harmonics yield particle shapes with nearly sharp angles, there-fore, enhanced analysis of local surface curvatures becomes necessary. An application using quasi-ellipsoidal particles is enclosed.