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.
p. 103687.
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1908.04023v1.pdf - Author Accepted Manuscript Download (393kB) | Preview |
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 |
|---|---|
| Additional Information: | 17 pages, 5 figures |
| Uncontrolled Keywords: | Non-linear elastic interface, Wave scattering, Transmission resonance |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 11 Sep 2019 07:42 |
| Last Modified: | 19 Jan 2023 00:27 |
| DOI: | 10.1016/j.jmps.2019.103687 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3054132 |
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