Studying the effect of delamination on Ostrovsky wave packet propagation in waveguides

Abstract

This paper considers the scattering of Ostrovsky wave packets in a delaminated two-layer waveguide with a soft bonding between the layers. The lower layer is significantly denser than the upper layer, so the displacements are described by Boussinesq-Klein-Gordon (BKG) equations in bonded regions or Boussinesq equations in the delaminated regions. A semi-analytical approach is developed using asymptotic multiple-scales expansions, which is less expensive than direct numerical modeling, and good agreement is shown between the two methods. In delaminated regions, the Ostrovsky wave packet evolves into a series of rank ordered solitons with dispersive radiation, and when these solitons re-enter a bonded region, they each evolve into Ostrovsky wave packets, with the lead Ostrovsky wave packet being most distinct. The numerical results are then linked to material parameters, which can motivate physical experiments with a wide range of materials to determine if this measure can be used to control delamination.