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Three-dimensional spherical discontinuous deformation analysis using second-order cone programming
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DOI：10.1016/j.compgeo.2019.04.023.png)
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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.
Keyword:
Discontinuous deformation analysis
Second-order cone programming
Contact problems
Discrete element method
Mathematical programming
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