Determination of dynamic gradient elasticity length scales
Date
2012
Authors
Carta, G.
Bennett, T.
Askes, H.
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Journal article
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Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics, 2012; 165(1):41-47
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Giorgio Carta, Terry Bennett, Harm Askes
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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.
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ICE Publishing: All rights reserved.