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Limit analysis of plates and slabs using a meshless equilibrium formulation

Le, Canh V., Gilbert, Matthew and Askes, Harm (2010) Limit analysis of plates and slabs using a meshless equilibrium formulation. International Journal for Numerical Methods in Engineering. ISSN 0029-5981 (Submitted)

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Abstract

A meshless Element-Free Galerkin (EFG) equilibrium formulation is proposed to compute the limit loads which can be sustained by plates and slabs. In the formulation pure moment fields are approximated using a moving least-squares technique, which means that the resulting fields are smooth over the entire problem domain. There is therefore no need to enforce continuity conditions at interfaces within the problem domain, which would be a key part of a comparable finite element formulation. The collocation method is used to enforce the strong form of the equilibrium equations and a stabilized conforming nodal integration scheme is introduced to eliminate numerical instability problems. The combination of the collocation method and the smoothing technique means that equilibrium only needs to be enforced at the nodes, and stable and accurate solutions can be obtained with minimal computational effort. The von Mises and Nielsen yield criteria which are used in the analysis of plates and slabs, respectively, are enforced by introducing second-order cone constraints, ensuring that the resulting optimization problem can be solved using efficient interior-point solvers. Finally, the efficacy of the procedure is demonstrated by applying it to various benchmark plate and slab problems.

Item Type: Article
Copyright, Publisher and Additional Information: This is the pre-peer reviewed version of the following article: Le, Canh V., Gilbert, Matthew and Askes, Harm (2010) Limit analysis of plates and slabs using a meshless equilibrium formulation. International Journal for Numerical Methods in Engineering, which has been published in final form at http://dx.doi.org/10.1002/nme.2887. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: limit analysis • meshless methods • EFG • equilibrium model • second-order cone programming • plates • slabs
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: 19 May 2010 11:49
Last Modified: 15 Sep 2014 01:20
Published Version: http://dx.doi.org/10.1002/nme.2887
Status: Submitted
Publisher: Wiley
Refereed: No
Identification Number: 10.1002/nme.2887
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10817

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