# Scattering from a non-linear structured interface

## TL;DR

This paper reviews wave scattering from non-linear interfaces with buckling elastic beams, demonstrating how non-linearity suppresses transmission resonance and analyzing both linearized and transient non-linear interactions.

## Contribution

It introduces a model for wave scattering from non-linear structured interfaces and investigates the effects of non-linearity on wave transmission and resonance suppression.

## Key findings

- Non-linearity suppresses transmission resonance.
- Linearized model allows for subcritical regime analysis.
- Transient non-linear interactions significantly alter wave transmission.

## Abstract

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.