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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/5740

Title: Explicit asymptotic modelling of transient Love waves propagated along a thin coating
Authors: Ahmad, M
Nolde, E
Pichugin, AV
Keywords: Asymptotics
Long wave
Coating
Love waves
Publication Date: 2011
Publisher: Springer Verlag
Citation: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 62(1): 173 - 181, Feb 2011
Abstract: An explicit asymptotic model for transient Love waves is derived from the exact equations of anti-plane elasticity. The perturbation procedure relies upon the slow decay of low-frequency Love waves to approximate the displacement field in the substrate by a power series in the depth coordinate. When appropriate decay conditions are imposed on the series, one obtains a model equation governing the displacement at the interface between the coating and the substrate. Unusually, the model equation contains a term with a pseudo-differential operator. This result is confirmed and interpreted by analysing the exact solution obtained by integral transforms. The performance of the derived model is illustrated by numerical examples.
Description: The official published version can be obtained from the link below.
Sponsorship: This work is sponsored by the grant from Higher Education of Pakistan and by the Brunel University’s “BRIEF” research award.
URI: http://bura.brunel.ac.uk/handle/2438/5740
http://www.springerlink.com/content/h611157316792244/
DOI: http://dx.doi.org/10.1007/s00033-010-0095-y
ISSN: 0044-2275
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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