Surface waves supported by thin-film/substrate interactions

Steigmann, D. J. and Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions. IMA Journal of Applied Mathematics, 72(6), pp. 730-747. (doi: 10.1093/imamat/hxm018)

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A systematic approximation to the linear equations for small-amplitude surface waves in an elastic half space, interacting with a residually stressed thin film of different material bonded to its plane boundary, is developed in powers of the film thickness, assuming the latter to be small compared to the wavelength of the disturbance. The theory is illustrated by calculating asymptotic expansions of the wave speeds for Love and Rayleigh waves valid to second order in the dimensionless film thickness for a transversely isotropic film bonded to an isotropic substrate.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Steigmann, D. J., and Ogden, R. W.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:IMA Journal of Applied Mathematics

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