Cabras, L, Movchan, AB and Piccolroaz, A
(2017)
Floquet-Bloch waves in periodic networks of the Rayleigh beams:
honeycomb systems, dispersion degeneracies and structured interfaces.
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Text
1707.07599v2.pdf - Submitted version Download (7MB) | Preview |
Abstract
The paper addresses novel dispersion properties of elastic flexural waves in periodic structures which possess rotational inertia. The structure is represented as a lattice, whose elementary links are formally defined as the Rayleigh beams. Although in the quasi-static regime such beams respond similarly to the classical Euler-Bernoulli beams, as the frequency increases the dispersion of flexural waves possesses new interesting features. For a doubly periodic lattice, we give a special attention to degeneracies associated with so-called Dirac cones on the dispersion surfaces as well as directional anisotropy. Comparative analysis for Floquet-Bloch waves in periodic flexural lattices of different geometries is presented and accompanied by numerical simulations.
| Item Type: | Article |
|---|---|
| Additional Information: | 18 pages, 11 figures |
| Uncontrolled Keywords: | physics.class-ph, physics.class-ph |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 09 Mar 2020 15:54 |
| Last Modified: | 18 Jan 2023 23:58 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3078334 |
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