Bagni, C., Askes, H. and Susmel, L. (2014) Finite Element Technology for Gradient Elastic Fracture Mechanics. In: Procedia Materials Science. 20th European Conference on Fracture, 30 Jun - 04 Jul 2014, Trondheim, Norway. Elsevier , 2042 - 2047. ISBN 2211-8128
Abstract
In this paper a unified FE methodology based on gradient-elasticity is presented, including Gauss integration rules and error estimation. Applying the proposed methodology to classical elasticity problems, it has been found that, the linear elements show a convergence rate higher than the theoretical one, for what concerns the stresses. This means that, accepting a small loss in the accuracy of the solution, the use of linear elements, instead of quadratic elements, leads to a solution characterised by a convergence rate higher than the theoretical one along with a sensible reduction in the computational cost. This technology has many possible applications such as the simulation of fatigue failure and bone regeneration.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Elsevier Ltd. Reproduced 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; fracture mechanics; length scale; bone regeneration |
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: | 08 Oct 2015 13:52 |
Last Modified: | 19 Dec 2022 13:31 |
Published Version: | https://doi.org/10.1016/j.mspro.2014.06.329 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.mspro.2014.06.329 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:86292 |