Discontinuous deformation analysis for SH-body. (January 2020)

• Record Type: Journal Article
• Authors: Fan, Huo; Huang, Duruo; Wang, Gang; Wang, Jianfeng
• Is Part Of: Computers and geotechnics. Volume 117(2020)
• Publication Date: 2020-01
• Subjects: Spherical harmonic function -- Surface reconstruction -- Discontinuous deformation analysis -- Geometric iteration -- Variational inequality; Engineering geology -- Data processing -- Periodicals; Soil mechanics -- Data processing -- Periodicals; Rock mechanics -- Data processing -- Periodicals; 624.1510285
• DOI: 10.1016/j.compgeo.2019.103234
• Languages: English
• ISSNs: 0266-352X

Abstract

Abstract: Based on micro X-ray computed tomography data, the spherical harmonic (SH) function can be employed to reconstruct the nature sand particle, referred to as SH-body. Thus, the sand particle micromorphology can be described by analytic functions. Thanks to these analytic functions, the closest points between SH-bodies for contact detection can be identified by using a second-order geometric iteration algorithm. Meanwhile, the equivalent variational inequality is formulated to determine the inter-particle contact forces for the three-dimensional cases. To capture the kinematics and kinetics of SH-bodies, this study deduces discontinuous deformation analysis (DDA) formula based on the principle of minimum potential energy. The study establishes a framework for simulating the dynamic behavior of SH-bodies, and the proposed methodology is validated through numerical examples.