Gilbert, M, He, L, Smith, C.C et al. (1 more author) (2014) Automatic yield-line analysis of slabs using discontinuity layout optimization. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470 (2168). ISSN 1471-2946
Abstract
The yield-line method of analysis is a long established and extremely effective means of estimating the maximum load sustainable by a slab or plate. However, although numerous attempts to automate the process of directly identifying the critical pattern of yield-lines have been made over the past few decades, to date none has proved capable of reliably analysing slabs of arbitrary geometry. Here, it is demonstrated that the discontinuity layout optimization (DLO) procedure can successfully be applied to such problems. The procedure involves discretization of the problem using nodes inter-connected by potential yield-line discontinuities, with the critical layout of these then identified using linear programming. The procedure is applied to various benchmark problems, demonstrating that highly accurate solutions can be obtained, and showing that DLO provides a truly systematic means of directly and reliably automatically identifying yield-line patterns. Finally, since the critical yield-line patterns for many problems are found to be quite complex in form, a means of automatically simplifying these is presented.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 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. |
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) |
Funding Information: | Funder Grant number EPSRC GR/S53329/01 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 13 Jun 2014 13:54 |
Last Modified: | 13 Jun 2014 13:54 |
Published Version: | http://rspa.royalsocietypublishing.org/content/470... |
Status: | Published |
Publisher: | Royal Society |
Refereed: | Yes |
Identification Number: | 10.1098/rspa.2014.0071 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79315 |