Hyperelastic tuning of one dimensional phononic band-gaps using directional stress
| Autor: | Andriejus Demcenko, Jonathan M. Cooper, Arno Volker, Michael Mazilu, Rab Wilson |
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| Přispěvatelé: | University of St Andrews. School of Physics and Astronomy |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Floquet theory
010504 meteorology & atmospheric sciences Acoustics and Ultrasonics Band gap Non-linear ultrasound TK Automatic frequency control NDAS 02 engineering and technology Stress 01 natural sciences Crystals TK Electrical engineering. Electronics Nuclear engineering Stress (mechanics) Electrical and Electronic Engineering Propagation Instrumentation QC 0105 earth and related environmental sciences Photonic crystal Physics Condensed matter physics Hyperelasticity Acoustics Photonic band gap 021001 nanoscience & nanotechnology Nonlinear system QC Physics Floquet waves Hyperelastic material Frequency control Phononic crystals Phase velocity 0210 nano-technology |
| ISSN: | 0885-3010 |
| Popis: | JMC acknowledges EPSRC Fellowship (EP/K027611/1) and the ERC advanced investigator award (340117 - Biophononics). In this paper we show that acoustoelasticity in hyperelastic materials can be understood using the framework of non-linear wave mixing, which, when coupled with an induced static stress, leads to a change in the phase velocity of the propagating wave with no change in frequency. By performing Floquet wave eigenvalue analysis, we also show that band-gaps for periodic composites, acting as 1D phononic crystals, can be tuned using this static stress. In the presence of second order elastic nonlinearities, the phase velocity of propagating waves in the phononic structure changes, leading to observable shifts in the band-gaps. Finally, we present numerical examples as evidence that the band-gaps are tuned by both the direction of the stress and its magnitude. Publisher PDF |
| Databáze: | OpenAIRE |
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