Scattering from a non-linear structured interface



Tallarico, Domenico, Movchan, Natalia V and Movchan, Alexander B
(2020) Scattering from a non-linear structured interface. Journal of the Mechanics and Physics of Solids, 136.

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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.

Item Type: Article
Uncontrolled Keywords: Non-linear elastic interface, Wave scattering, Transmission resonance
Depositing User: Symplectic Admin
Date Deposited: 11 Sep 2019 07:42
Last Modified: 02 Sep 2022 19:10
DOI: 10.1016/j.jmps.2019.103687
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3054132