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|Title:||Composite wave models for elastic plates|
|Keywords:||Elastic plate;Composite;Asymptotic;Rayleigh wave;Hyperbolic equation|
|Citation:||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018, 474 (2214)|
|Abstract:||The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite 2D models merging the leading or higher-order parabolic equations for plate bending and the hyperbolic equation for the Rayleigh surface wave are constructed. Analysis of numerical examples shows that the proposed approach is robust not only at low and high-frequency limits but also over the intermediate frequency range.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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