Çalik-Karaköse, U.H. and Askes, H. (2015) A recovery-type a posteriori error estimator for gradient elasticity. Computers and Structures, 154. 204 - 209. ISSN 0045-7949
Abstract
In this paper, an a posteriori error estimator of the recovery type is developed for the gradient elasticity theory of Aifantis. This version of gradient elasticity can be implemented in a staggered way, whereby solution of the classical equations of elasticity is followed by solving a reaction-diffusion equation that introduces the gradient enrichment and removes the singularities. With gradient elasticity, singularities in the stress field can be avoided, which simplifies error estimation. Thus, we develop an error estimator associated with the second step of the staggered algorithm. Stress-gradients are recovered based on the methodology of Zienkiewicz and Zhu, after which a suitable energy norm is discussed. The approach is illustrated with a number of examples that demonstrate its effectiveness.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright 2015 Elsevier Ltd. This is an author produced version of a paper subsequently published in Computers and Structures. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Gradient elasticity; A posteriori error estimation; Recovery-type error estimator |
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: | 07 Oct 2015 14:14 |
Last Modified: | 23 Apr 2017 23:56 |
Published Version: | http://dx.doi.org/10.1016/j.compstruc.2015.04.003 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.compstruc.2015.04.003 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:85968 |