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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4336

Title: Four simplified gradient elasticity models for the simulation of dispersive wave propagation
Authors: Askes, H
Metrikine, AV
Pichugin, AV
Bennett, T
Publication Date: 2008
Publisher: Taylor & Francis
Citation: Philosophical Magazine. 88(28 & 29): 3415-3443, Oct 2008
Abstract: Gradient elasticity theories can be used to simulate dispersive wave propagation as it occurs in heterogeneous materials. Compared to the second-order partial differential equations of classical elasticity, in its most general format gradient elasticity also contains fourth-order spatial, temporal as well as mixed spatial temporal derivatives. The inclusion of the various higher-order terms has been motivated through arguments of causality and asymptotic accuracy, but for numerical implementations it is also important that standard discretization tools can be used for the interpolation in space and the integration in time. In this paper, we will formulate four different simplifications of the general gradient elasticity theory. We will study the dispersive properties of the models, their causality according to Einstein and their behavior in simple initial/boundary value problems.
URI: http://bura.brunel.ac.uk/handle/2438/4336
DOI: http://dx.doi.org/10.1080/14786430802524108
ISSN: 1478-6435
Appears in Collections:School of Information Systems, Computing and Mathematics Research Papers
Mathematical Science

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