A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane
Authors:
- 24 February 2020
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 85 (1) , 113-131
Abstract
We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the correction term is shown by re-examining problems which the leading-order model has been applied to previously, namely a harmonic forcing, a moving point load and a periodic array of compressional resonators.Keywords
Funding Information
- Ministry of Education and Science of the Republic of Kazakhstan (IRN AP05132743)
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