  We review the scattering from non-linear interfaces containing buckling
elastic beams. An illustrative example is discussed here of scattering of
linear elastic pressure waves from a two-mass system connected by a non-linear
structured interface modelled as elastica. In the first instance, the
interaction between the masses is linearised. This allows for the study of a
time-harmonic transmission model problem in the subcritical regime.
Subsequently, we consider the transient problem associated with a non-linear
ineraction within the interface. The effect of non-linearity is shown to
suppress the transmission resonance observed in the linearised formulation.
