Three-dimensional spherical discontinuous deformation analysis using second-order cone programming. (August 2019)

• Record Type: Journal Article
• Authors: Meng, Jingjing; Cao, Ping; Huang, Jinsong; Lin, Hang; Li, Kaihui; Cao, Rihong
• Is Part Of: Computers and geotechnics. Volume 112(2019)
• Page Start: 319
• Page End: 328
• Publication Date: 2019-08
• Subjects: Discontinuous deformation analysis -- Second-order cone programming -- Contact problems -- Discrete element method -- Mathematical programming; Engineering geology -- Data processing -- Periodicals; Soil mechanics -- Data processing -- Periodicals; Rock mechanics -- Data processing -- Periodicals; 624.1510285
• DOI: 10.1016/j.compgeo.2019.04.023
• Languages: English
• ISSNs: 0266-352X

Abstract

Abstract: In this paper, a new formulation of three-dimensional spherical discontinuous deformation analysis (DDA) based on second-order cone programming has been proposed. Artificial springs with open-close iteration used in classic DDA have been removed, given that improper stiffness parameters might cause numerical problems. Furthermore, to account for irregular granular shapes, a rolling resistance model is incorporated in the variational formulation. The proposed formulation can be cast into a standard second-order cone programming program, which can be solved using efficient off-the-shelf optimisation solvers. The proposed approach is validated by a series of numerical examples.