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Adaptive Element-Free Galerkin method applied to the limit analysis of plates

Le, Canh V., Askes, Harm and Gilbert, Matthew (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

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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.

Item Type: Article
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
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
URI: http://eprints.whiterose.ac.uk/id/eprint/10831

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