In this paper we examine the effect of delamination on wave scattering, with
the aim of creating a control measure for layered waveguides of various bonding
types. Previous works have considered specific widths of solitary waves for the
simulations, without analysing the effect of changing the soliton parameters.
We consider two multi-layered structures: one containing delamination
"sandwiched" by perfect bonding and one containing delamination but
"sandwiched" by soft bonding. These structures are modelled by coupled
Boussinesq-type equations. Matched asymptotic multiple-scale expansions lead to
coupled Ostrovsky equations in soft bonded regions and Korteweg-De Vries
equations in the perfectly bonded and delaminated region. We use the Inverse
Scattering Transform to predict the behaviour in the delaminated regions. In
both cases, numerical analysis shows that we can predict the delamination
length by changes in the wave structure, and that these changes depend upon the
Full Width at Half Magnitude (FWHM) of the incident soliton. In the case of
perfect bonding, we derive a theoretical prediction for the change and confirm
this numerically. For the soft bonding case, we numerically identify a similar
relationship using the change in amplitude. Therefore we only need to compute
one curve to determine the behaviour for any incident solitary wave, creating a
framework for designing measurement campaigns for rigorously testing the
integrity of layered structures.Comment: 12 pages, 7 figure