Diffraction by a rigid strip in a plate modelled by Mindlin theory
1Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK.
Abstract:
We consider a plane flexural wave incident on a semi-infinite rigid strip in a Mindlin plate. The boundary conditions on the strip lead to three Wiener-Hopf equations, one of which decouples, leaving a scalar problem and a 2 × 2 matrix problem. The latter is solved using a simple method based on quadrature. The far-field diffraction coefficient is calculated and some numerical results are presented. We also show how the results reduce to the simpler Kirchhoff model in the low-frequency limit.
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