Hyperelastic tuning of one dimensional phononic band-gaps using directional stress

Andriejus Demčenko, Michael Mazilu, Rab Wilson, Arno W.F. Volker, Jonathan M. Cooper

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
2 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)1056-1061
Number of pages6
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number6
Early online date17 Apr 2018
Publication statusPublished - Jun 2018


  • Acoustics
  • Crystals
  • Floquet waves
  • Frequency control
  • Hyperelasticity
  • Non-linear ultrasound
  • Phononic crystals
  • Photonic band gap
  • Propagation
  • Stress


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