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|Title:||Explicit asymptotic modelling of transient Love waves propagated along a thin coating|
|Keywords:||Asymptotics;Long wave;Coating;Love waves|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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