Le, Canh V., Askes, Harm and Gilbert, Matthew (Completed: 2010) Adaptive Element-Free Galerkin method applied to the limit analysis of plates. Computer Methods in Applied Mechanics and Engineering, 199 (37-40). pp. 2487-2496. ISSN 0045-7825
Abstract
The implementation of an h-adaptive Element-Free Galerkin (EFG) method in the framework of limit analysis is described. The naturally conforming property of mesh- free approximations (with no nodal connectivity required) facilitates the implementation of h-adaptivity. Nodes may be moved, discarded or introduced without the need for complex manipulation of the data structures involved. With the use of the Taylor expansion technique, the error in the computed displacement field and its derivatives can be estimated throughout the problem domain with high accuracy. A stabilized conforming nodal integration scheme is extended to error estimators and results in an efficient and truly meshfree adaptive method. To demonstrate its effectiveness the procedure is then applied to plates with various boundary conditions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2010 Published by Elsevier B.V. This is an author produced version of a paper accepted for publication in 'Computer Methods in Applied Mechanics and Engineering'. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Error estimation; adaptivity; limit analysis; EFG method; second-order cone programming |
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: | Dr Canh Le |
Date Deposited: | 21 May 2010 10:26 |
Last Modified: | 13 May 2014 09:36 |
Published Version: | http://dx.doi.org/10.1016/j.cma.2010.04.004 |
Status: | Published |
Publisher: | Elsevier Ltd |
Refereed: | Yes |
Identification Number: | doi:1016/j.cma.2010.04.004 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:10831 |
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Filename: CMAME_CanhLe.pdf
Description: EFG: Error etimation and adaptivity