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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on January 8, 2009
The Quarterly Journal of Mechanics and Applied Mathematics 2009 62(1):39-52; doi:10.1093/qjmam/hbn025
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© The author 2009. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Elastic SH wave propagation in a layered anisotropic plate with interface damage modelled by spring boundary conditions

Anders Boström{dagger}

Mikhail Golub

( Department of Applied Mechanics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden and Institute for Mathematics, Mechanics and Informatics, Kuban State University, Krasnodar, 350040 Russia )

{dagger} <anders.bostrom{at}chalmers.se>

Received 1 September 2008. Revise 28 November 2008.
  Abstract

Elastic SH wave propagation in a layered anisotropic plate with interface damage is modelled in several steps. A single interface crack between two half-spaces is first studied and an explicit solution for the crack-opening displacement is obtained at low frequencies. This is then generalised to a random distribution of cracks at the interface and the result is reformulated as a spring boundary condition. As an example of its usefulness, this boundary condition is then used in the derivation of a plate equation by expanding the displacements in power series in the thickness coordinate.


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