Carta, G., Bennett, T. and Askes, H. (2012) Determination of dynamic gradient elasticity length scales. Proceedings of the ICE: Engineering and Computational Mechanics, 165 (1). 41 - 47. ISSN 1755-0777
Abstract
Wave dispersion is a widely recognised phenomenon that occurs when elastic waves propagate through a heterogeneous microstructured material; reflection and refraction of higher frequencies leads to an apparent reduction of the wave speed with frequency. Enhanced continua are frequently employed to capture this phenomenon efficiently. Numerical experiments are performed in this paper to establish a procedure for the determination of the length scale parameters used in dynamic gradient elasticity using spectral analysis. Suitable values of the length scale parameters are determined and verified for a one-dimensional laminated bar and for a two-dimensional chequerboard plate.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2012 ICE. Reproduced in accordance with the publisher's self-archiving policy. |
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: | 18 Aug 2014 13:43 |
Last Modified: | 18 Aug 2014 13:51 |
Published Version: | http://dx.doi.org/10.1680/eacm.2012.165.1.41 |
Status: | Published |
Publisher: | ICE |
Refereed: | Yes |
Identification Number: | 10.1680/eacm.2012.165.1.41 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:80242 |