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Low-resolution spherical harmonics models in application to quasi-quadric particle shapes

    Urtė Radvilaitė Affiliation
    ; Álvaro Ramírez-Gómez Affiliation
    ; Arūnas Jaras Affiliation
    ; Rimantas Kačianauskas Affiliation
    ; Dainius Rusakevičius Affiliation

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.

Keyword : soil, particle, quasi-quadric shape, spherical harmonics, curvature, contact

How to Cite
Radvilaitė, U., Ramírez-Gómez, Álvaro, Jaras, A., Kačianauskas, R., & Rusakevičius, D. (2016). Low-resolution spherical harmonics models in application to quasi-quadric particle shapes. Engineering Structures and Technologies, 8(4), 131-142. https://doi.org/10.3846/2029882X.2016.1268073
Published in Issue
Dec 16, 2016
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