Scattering from a non-linear structured interface
Classical Physics
2020-03-18 v1
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.
Keywords
Cite
@article{arxiv.1908.04023,
title = {Scattering from a non-linear structured interface},
author = {Domenico Tallarico and Natalia V. Movchan and Alexander B. Movchan},
journal= {arXiv preprint arXiv:1908.04023},
year = {2020}
}
Comments
17 pages, 5 figures