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Three-dimensional spherical discontinuous deformation analysis using second-order cone programming
Luleå University of Technology, Department of Civil, Environmental and Natural Resources Engineering, Mining and Geotechnical Engineering. School of Resources and Safety Engineering, Central South University, Changsha, Hunan, China.
School of Resources and Safety Engineering, Central South University, Changsha, Hunan, China.
Discipline of Civil, Surveying and Environmental Engineering, Faculty of Engineering and Built Environment, The University of Newcastle, Callaghan, Australia.
School of Resources and Safety Engineering, Central South University, Changsha, Hunan, China.
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2019 (English)In: Computers and geotechnics, ISSN 0266-352X, E-ISSN 1873-7633, Vol. 112, p. 319-328Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 112, p. 319-328
Keywords [sv]
Discontinuous deformation analysis, Second-order cone programming, Contact problems, Discrete element method, Mathematical programming
National Category
Geotechnical Engineering
Research subject
Soil Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-73948DOI: 10.1016/j.compgeo.2019.04.023ISI: 000474323800028Scopus ID: 2-s2.0-85065437443OAI: oai:DiVA.org:ltu-73948DiVA, id: diva2:1315947
Note

Validerad;2019;Nivå 2;2019-05-15 (johcin)

Available from: 2019-05-15 Created: 2019-05-15 Last updated: 2019-08-16Bibliographically approved

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Meng, Jingjing

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