Spacetime modulation in floating thin elastic plates

Mohamed Farhat, Sebastien Guenneau, Pai-Yen Chen, Ying Wu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We consider the propagation of flexural-gravity waves in thin elastic plates floating atop nonviscous fluids, e.g., seawater, which are governed by a partial differential equation with Laplacian and tri-Laplacian terms. We investigate the effect of time modulation as well as spacetime modulation on thin floating elastic plates and show the peculiarity of the phenomena of the k-band gap and the rotated k-band gap in the context of flexural-gravity waves. This makes possible floating plates with nonreciprocal features and behaving as elastodynamic analogs of luminal electromagnetic metamaterials, with exotic applications in enhanced control of ocean waves, such as filtering devices, unidirectional acoustic propagation, and isolation effects and energy harvesting in maritime engineering.
Original languageEnglish (US)
JournalPhysical Review B
Issue number1
StatePublished - Jul 29 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-08-05
Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950, OSR-2020-CRG9-4374
Acknowledgements: The research reported in this paper was supported by King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Grants No. OSR-2016-CRG5-2950 and No. OSR-2020-CRG9-4374, as well as KAUST Baseline Research Fund BAS/1/1626-01-01. P.-Y.C. would like to acknowledge KAUST Grant No. CRG-4056.2 for supporting the research reported in this paper. The authors would also like to acknowledge useful comments by anonymous referees that helped in improving the quality of this work.


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