Hawksbee, S, Smith, C.C and Gilbert, M (2013) Application of discontinuity layout optimization to three-dimensional plasticity problems. Proceedings Royal Society A, 469 (2155). 20130009. ISSN 1364-5021
Abstract
A new three-dimensional limit analysis formulation that uses the recently developed discontinuity layout optimization (DLO) procedure is described. With DLO, limit analysis problems are formulated purely in terms of discontinuities, which take the form of polygons when three-dimensional problems are involved. Efficient second-order cone programming techniques can be used to obtain solutions for problems involving Tresca and Mohr–Coulomb yield criteria. This allows traditional ‘upper bound’ translational collapse mechanisms to be identified automatically. A number of simple benchmark problems are considered, demonstrating that good results can be obtained even when coarse numerical discretizations are employed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | limit analysis, plasticity, discontinuity layout optimization, three-dimensional analysis |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 May 2014 12:43 |
Last Modified: | 09 May 2014 12:43 |
Published Version: | http://dx.doi.org/10.1098/rspa.2013.0009 |
Status: | Published |
Publisher: | ROYAL SOCIETY |
Refereed: | Yes |
Identification Number: | 10.1098/rspa.2013.0009 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:78780 |