988
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Topological surface wave metamaterials for robust vibration attenuation and energy harvesting

, , , , &
Pages 4759-4767 | Received 23 Apr 2021, Accepted 27 May 2021, Published online: 15 Jun 2021

References

  • M. Miniaci, A. Krushynska, F. Bosia, and N. M. Pugno, Large scale mechanical metamaterials as seismic shields, New J. Phys., vol. 18, no. 8, pp. 083041, 2016. DOI: 10.1088/1367-2630/18/8/083041.
  • R. Cai, Y. Jin, T. Rabczuk, X. Zhuang, and B. Djafari-Rouhani, Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials, J. Appl. Phys., vol. 129, no. 12, pp. 124903, 2021. DOI: 10.1063/5.0042577.
  • Y. Jin, Y. Pennec, B. Bonello, H. Honarvar, L. Dobrzynski, B. Djafari-Rouhani, M. and I Hussein, Physics of surface vibrational resonances: Pillared phononic crystals, metamaterials, and metasurfaces, Rep. Prog. Phys. DOI: 10.1088/1361-6633/abdab8(2021).
  • A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface, Phys. Rev. B., vol. 81, no. 21, pp. 214303, 2010. DOI: 10.1103/PhysRevB.81.214303.
  • Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan and P. Sheng, Locally resonant sonic materials, Science., vol. 289, no. 5485, pp. 1734–1736, 2000. DOI: 10.1126/science.289.5485.1734.
  • Y. Jin, N. Fernez, Y. Pennec, B. Bonello, R. P. Moiseyenko, S. Hémon, Y. Pan and B. Djafari-Rouhani, Tunable waveguide and cavity in a phononic crystal plate by controlling whispering-gallery modes in hollow pillars, Phys. Rev. B., vol. 93, no. 5, pp. 054109, 2016. DOI: 10.1103/PhysRevB.93.054109.
  • M. Oudich, B. Djafari-Rouhani, B. Bonello, Y. Pennec, S. Hemaidia, F. Sarry and D. Beyssen, Rayleigh waves in phononic crystal made of multilayered pillars: Confined modes, fano resonances, and acoustically induced transparency, Phys. Rev. Applied., vol. 9, no. 3, pp. 034013, 2018. DOI: 10.1103/PhysRevApplied.9.034013.
  • Y. Chen, and L. Wang, Isolation of surface wave-induced vibration using periodically modulated piles, Int. J. Appl. Mechanics, vol. 6, no. 4, pp. 1450042, 2014. DOI: 10.1142/S1758825114500422.
  • Y. Achaoui, B. Ungureanu, S. Enoch, S. Brûlé, and S. Guenneau, Seismic waves damping with arrays of inertial resonators, Extreme Mech. Lett., vol. 8, pp. 30–37, 2016. DOI: 10.1016/j.eml.2016.02.004.
  • Xiangxi Cai, L. Ye, C. Qiu, M. Xiao, R. Yu, M. Ke and Z. Liu, Symmetry-enforced three-dimensional Dirac phononic crystals, Light. Sci. Appl., vol. 9, no. 1, pp. 38, 2020. DOI: 10.1038/s41377-020-0273-4.
  • R. Chaunsali, C.-W. Chen, and J. Yang, Subwavelength and directional control of flexural waves in zone-folding induced topological plates, Phys. Rev. B., vol. 97, no. 5, pp. 054307, 2018. DOI: 10.1103/PhysRevB.97.054307.
  • G. Ma, M. Xiao, and C. T. Chan, Topological phases in acoustic and mechanical systems, Nat. Rev. Phys., vol. 1, no. 4, pp. 281–294, 2019. DOI: 10.1038/s42254-019-0030-x.
  • B. H. Nguyen, H. S. Park, X. Zhuang, and T. Rabczuk, Tunable topological bandgaps and frequencies in a pre-stressed soft phononic crystal, J. Appl. Phys., vol. 125, no. 9, pp. 095106, 2019. DOI: 10.1063/1.5066088.
  • R. Chaunsali, C.-W. Chen, and J. Yang, Experimental demonstration of topological waveguiding in elastic plates with local resonators, New J. Phys., vol. 20, no. 11, pp. 113036, 2018. DOI: 10.1088/1367-2630/aaeb61.
  • H. Fan, B. Xia, L. Tong, S. Zheng, and D. Yu, Elastic higher-order topological insulator with topologically protected corner states, Phys. Rev. Lett., vol. 122, no. 20, pp. 204301, 2019. DOI: 10.1103/PhysRevLett.122.204301.
  • Y. Jin, W. Wang, Z. Wen, D. Torrent, and B. Djafari-Rouhani, Topological states in twisted pillared phononic plates, Extreme Mech. Lett., vol. 39, pp. 100777, 2020. DOI: 10.1016/j.eml.2020.100777.
  • J.Chen, Hongbo Huang, S. Huo,1 Zhuhua Tan, X. Xie, J. Cheng and G. Huang, Self-ordering induces multiple topological transitions for in-plane bulk waves in solid phononic crystals, Phys. Rev. B., vol. 98, no. 1, pp. 014302, 2018. DOI: 10.1103/PhysRevB.98.014302.
  • H. Huang, Z. Tan, S. Huo, L. Feng, J. Chen, and X. Han, Topologically protected zero refraction of elastic waves in pseudospin-Hall phononic crystals, Commun. Phys., vol. 3, no. 1, pp. 46, 2020. DOI: 10.1038/s42005-020-0314-6.
  • H. Huang, S. Huo, and J. Chen, Subwavelength elastic topological negative refraction in ternary locally resonant phononic crystals, Int. J. Mech. Sci., vol. 198, pp. 106391, 2021. DOI: 10.1016/j.ijmecsci.2021.106391.
  • W. Wang, Y. Jin, W. Wang, B. Bonello, B. Djafari-Rouhani, and R. Fleury, Robust Fano resonance in a topological mechanical beam, Phys. Rev. B., vol. 101, no. 2, p. 024101, 2020. DOI: 10.1103/PhysRevB.101.024101.
  • C. Goffaux, J. Sánchez-Dehesa, A. Levy Yeyati, Ph. Lambin, A. Khelif, J. O. Vasseur and B. Djafari-Rouhani, Evidence of Fano-like interference phenomena in locally resonant materials, Phys. Rev. Lett., vol. 88, no. 22, pp. 225502, 2002. DOI: 10.1103/PhysRevLett.88.225502.
  • Y. Jin, Y. Pennec, and B. Djafari-Rouhani, Acoustic analogue of electromagnetically induced transparency and Autler–Townes splitting in pillared metasurfaces, J. Phys. D: Appl. Phys., vol. 51, no. 49, pp. 494004, 2018. DOI: 10.1088/1361-6463/aae4f3.
  • Y. Jin, E. I. H. Ei Boudouti, Y. Pennec, and B. Djafari-Rouhani, Tunable Fano resonances of Lamb modes in a pillared metasurface, J. Phys. D: Appl. Phys., vol. 50, no. 42, pp. 425304, 2017. DOI: 10.1088/1361-6463/aa8a19.
  • Z. Wen, S. Zeng, D. Wang, Y. Jin, and B. Djafari-Rouhani, Robust edge states of subwavelength chiral phononic plates, Extreme Mech. Lett., vol. 44 , p. 101209,2021. DOI: 10.1016/j.eml.2021.101209(2021).
  • Y. Jin, W. Wang, A. Khelif, and B. Djafari-Rouhani, Elastic metasurfaces for deep and robust subwavelength focusing and imaging, Phys. Rev. Applied., vol. 15, no. 2, p. 024005, 2021. DOI: 10.1103/PhysRevApplied.15.024005.
  • S. Brûlé, S. Enoch, and S. Guenneau, Emergence of seismic metamaterials: Current state and future perspectives, Phys. Lett. A., vol. 384, no. 1, pp. 126034, 2020. DOI: 10.1016/j.physleta.2019.126034.
  • A. Colombi, D. Colquitt, P. Roux, S. Guenneau, and R. V. Craster, A seismic metamaterial: The resonant metawedge, Sci. Rep., vol. 6, no. 1, pp. 27717, 2016. DOI: 10.1038/srep27717.
  • A. Colombi, P. Roux, S. Guenneau, P. Gueguen, and R. V. Craster, Forests as a natural seismic metamaterial: Rayleigh wave bandgaps induced by local resonances, Sci. Rep., vol. 6, no. 1, pp. 19238, 2016. [Database] DOI: 10.1038/srep19238.
  • T. Li, Q. Su, and S. Kaewunruen, Seismic metamaterial barriers for ground vibration mitigation in railways considering the train-track-soil dynamic interactions, Constr. Build. Mater., vol. 260, pp. 119936, 2020. DOI: 10.1016/j.conbuildmat.2020.119936.
  • D. Mu, H. Shu, L. Zhao, and S. An, A review of research on seismic metamaterials, Adv. Eng. Mater., vol. 22, no. 4, pp. 1901148, 2020. DOI: 10.1002/adem.201901148.
  • Muhammad, C. W. Lim, and J. N. Reddy, Built-up structural steel sections as seismic metamaterials for surface wave attenuation with low frequency wide bandgap in layered soil medium, Engin. Struct., vol. 188, pp. 440–451, 2019. DOI: 10.1016/j.engstruct.2019.03.046.
  • X. Pu, A. Palermo, Z. Cheng, Z. Shi, and A. Marzani, Seismic metasurfaces on porous layered media: Surface resonators and fluid-solid interaction effects on the propagation of Rayleigh waves, Int. J. Eng. Sci., vol. 154, pp. 103347, 2020. DOI: 10.1016/j.ijengsci.2020.103347.
  • P. T. Wootton, J. Kaplunov, and D. J. Colquitt, An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces, Proc. Math. Phys. Eng. Sci., vol. 475, pp. 20190079, 2019.
  • Y. Zeng, Y. Xu, K. Deng, Z. Zeng, H. Yang, M. Muzamil and Q. Du, Low-frequency broadband seismic metamaterial using I-shaped pillars in a half-space, J. Appl. Phys., vol. 123, no. 21, pp. 214901, 2018. DOI: 10.1063/1.5021299.
  • W. Liu, G. H. Yoon, B. Yi, Y. Yang, and Y. Chen, Ultra-wide band gap metasurfaces for controlling seismic surface waves, Extreme Mech. Lett., vol. 41, pp. 101018, 2020. DOI: 10.1016/j.eml.2020.101018.
  • Y. Zeng, P. Peng, Q.-J. Du, Y.-S. Wang, and B. Assouar, Subwavelength seismic metamaterial with an ultra-low frequency bandgap, J. Appl. Phys., vol. 128, no. 1, pp. 014901, 2020. DOI: 10.1063/1.5144177.
  • D. Torrent, D. Mayou, and J. Sánchez-Dehesa, Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates, Phys. Rev. B., vol. 87, no. 11, pp. 115143, 2013. DOI: 10.1103/PhysRevB.87.115143.
  • G. J. Chaplain, J. M. D. Ponti, G. Aguzzid, A. Colombid, and R. V. Craster, Topological rainbow trapping for elastic energy harvesting in graded Su-Schrieffer-Heeger systems, Phys. Rev. Applied., vol. 14, no. 5, pp. 054035, 2020. DOI: 10.1103/PhysRevApplied.14.054035.
  • J.-J. Chen, S.-Y. Huo, Z.-G. Geng, H.-B. Huang, and X.-F. Zhu, Topological valley transport of plate-mode waves in a homogenous thin plate with periodic stubbed surface, AIP Adv., vol. 7, no. 11, pp. 115215, 2017. DOI: 10.1063/1.5006010.
  • Y. Jin, D. Torrent, and B. Djafari-Rouhani, Robustness of conventional and topologically protected edge states in phononic crystal plates, Phys. Rev. B., vol. 98, no. 5, p. 054307, 2018. DOI: 10.1103/PhysRevB.98.054307.
  • R. K. Pal, and M. Ruzzene, Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect, New J. Phys., vol. 19, no. 2, pp. 025001, 2017. DOI: 10.1088/1367-2630/aa56a2.
  • J. Vila, R. K. Pal, and M. Ruzzene, Observation of topological valley modes in an elastic hexagonal lattice, Phys. Rev. B., vol. 96, no. 13, pp. 134307, 2017. DOI: 10.1103/PhysRevB.96.134307.
  • M. Yan, J. Lu, F. Li, W. Deng, X. Huang, J. Ma, and Z. Liu. On-chip valley topological materials for elastic wave manipulation, Nature Mater., vol. 17, no. 11, pp. 993–998, 2018. DOI: 10.1038/s41563-018-0191-5.
  • Z. Wang, F.-K. Liu, S.-Y. Yu, S.-L. Yan, M.-H. Lu, Y. Jing and Y.-F. Chen, Guiding robust valley-dependent edge states by surface acoustic waves, J. Appl. Phys., vol. 125, no. 4, pp. 044502, 2019. DOI: 10.1063/1.5066034.
  • T. Inoue, and S. Murakami, Topological band structure of surface acoustic waves on a periodically corrugated surface, Phys. Rev. B., vol. 99, no. 19, pp. 195443, 2019. DOI: 10.1103/PhysRevB.99.195443.
  • D. R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Phys. Rev. B., vol. 14, no. 6, pp. 2239–2249, 1976. DOI: 10.1103/PhysRevB.14.2239.
  • B. Graczykowski, F. Alzina, J. Gomis-Bresco, and C. M. Sotomayor Torres, Finite element analysis of true and pseudo surface acoustic waves in one-dimensional phononic crystals, J. Appl. Phys., vol. 119, no. 2, pp. 025308, 2016. DOI: 10.1063/1.4939825.
  • L. He, Z. Wen, Y. Jin, D. Torrent, X. Zhuang, and T. Rabczuk, Inverse design of topological metaplates for flexural waves with machine learning, Mater. Design., vol. 199, pp. 109390, 2021. DOI: 10.1016/j.matdes.2020.109390.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.