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Wave attenuation study on a wide-band seismic metasurface using capped pillars
Muhammad Masaud Hajjaj1   ; Jianwei Tu1 
1 Hubei Key Laboratory of Roadway Bridge and Structure Engineering, Wuhan University of Technology, Wuhan 430070, China
Comptes Rendus. Mécanique, Volume 350 (2022), pp. 237-254.

We present the results of a numerical study on a seismic metasurface that achieves wide bandgap for low frequencies and with relatively smaller resonators. The metasurface consists of periodic concrete pillars with rigid caps supported on rubber between the caps and pillars and placed above ground. The study shows that such a metasurface creates a barrier against elastic waves having frequencies in the seismic frequency range. The results are further validated by a frequency-domain and time-transient study. The proposed metasurface configuration is simple and can be realized with readily available materials.

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DOI : 10.5802/crmeca.99
Mots clés : Seismic metamaterial, Seismic metasurface, Local resonance, Wave propagation, Bandgaps, Capped pillars
Muhammad Masaud Hajjaj 1 ; Jianwei Tu 1

1 Hubei Key Laboratory of Roadway Bridge and Structure Engineering, Wuhan University of Technology, Wuhan 430070, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     language = {en},
}
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Muhammad Masaud Hajjaj; Jianwei Tu. Wave attenuation study on a wide-band seismic metasurface using capped pillars. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 237-254. doi : 10.5802/crmeca.99. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.99/

[1] D. R. Smith; W. J. Padilla; D. C. Vier; S. C. Nemat-Nasser; S. Schultz Composite medium with simultaneously negative permeability and permittivity, Phys. Rev. Lett., Volume 84 (2000) no. 18, pp. 4184-4187 | DOI

[2] S. Krodel; N. Thome; C. Daraio Wide band-gap seismic metastructures, Extreme Mech. Lett., Volume 4 (2015), pp. 111-117 (in English) | DOI

[3] A. Labeyrie Hypertelescopes: the challenge of direct imaging at high resolution, New Concepts in Imaging: Optical and Statistical Models (D. Mary; C. Theys; C. Aime, eds.) (EAS Publications Series), Volume 59, EDP Sciences, Les Ulis, 2013, pp. 5-23 | DOI

[4] M. B. Pu; P. Chen; Y. Wang; Z. Zhao; C. Huang; C. Wang; X. Ma; X. Luo Anisotropic meta-mirror for achromatic electromagnetic polarization manipulation, Appl. Phys. Lett., Volume 102 (2013) no. 13, 131906 (in English) | DOI

[5] M. Hamamda; G. Dutier; M. Boutismi; V. Bocvarski; J. Grucker; F. Perales; J. Baudon; M. Ducloy Atom “meta-optics”: Negative-index media for matter waves in the nm wavelength range, 2009 Conference on Lasers and Electro-Optics and Quantum Electronics and Laser Science Conference (2009), pp. 2448-2449 | DOI

[6] Z. H. Jiang; C. Scarborough; D. H. Werner; P. L. Werner; C. Rivero-Baleine; C. Drake An isotropic 8.5 MHz magnetic meta-lens, 2011 IEEE International Symposium on Antennas and Propagation (IEEE Antennas and Propagation Society International Symposium) (2011), pp. 1151-1154 | DOI

[7] V. Galdi; V. Pierro; G. Castaldi; N. Engheta Genetically optimized metasurface pairs for wideband out-of-phase mutual response, IEEE Anten. Wirel. Propag. Lett., Volume 7 (2008), pp. 788-791 (in English) | DOI

[8] C. Boutin; L. Schwan; M. S. Dietz Elastodynamic metasurface: Depolarization of mechanical waves and time effects, J. Appl. Phys., Volume 117 (2015) no. 6, 064902 (in English) | DOI

[9] A. Colombi; D. Colquitt; P. Roux; S. Guenneau; R. V. Craster A seismic metamaterial: The resonant metawedge, Sci. Rep., Volume 6 (2016), 27717 (in English) | DOI

[10] S. H. Kim; M. P. Das Artificial seismic shadow zone by acoustic metamaterials, Modern Phys. Lett. B, Volume 27 (2013) no. 20, 1350140 (in English) | DOI

[11] A. Palermo; S. Krodel; A. Marzani; C. Daraio Engineered metabarrier as shield from seismic surface waves, Sci. Rep., Volume 6 (2016), 39356 (in English) | DOI

[12] M. I. Hussein; M. J. Frazier Metadamping: An emergent phenomenon in dissipative metamaterials, J. Sound Vib., Volume 332 (2013) no. 20, pp. 4767-4774 (in English) | DOI

[13] F. Basone; M. Wenzel; O. S. Bursi; M. Fossetti Finite locally resonant Metafoundations for the seismic protection of fuel storage tanks, Earthquake Eng. Struct. Dyn., Volume 48 (2019) no. 2, pp. 232-252 (in English) | DOI

[14] B. Li; Y. Q. Liu; K. T. Tan A novel meta-lattice sandwich structure for dynamic load mitigation, J. Sandwich Struct. Mater., Volume 21 (2019) no. 6, pp. 1880-1905 (in English) | DOI

[15] R. M. Walser Electromagnetic metamaterials, Complex Mediums II: Beyond Linear Isotropic Dielectrics (Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE)), Volume 4467 (2001), pp. 1-15 | DOI

[16] J. Li; C. T. Chan Double-negative acoustic metamaterial, Phys. Rev. E, Volume 70 (2004) no. 5, 055602 (in English) | DOI

[17] X. M. Zhou; J. Hu; G. K. Hu Transparency effect induced by elastic metamaterials, Piers 2008 Hangzhou: Progress in Electromagnetics Research Symposium, Vols I and II, Proceedings (Progress in Electromagnetics Research Symposium) (2008), pp. 963-966

[18] S. H. Kim; M. P. Das Seismic waveguide of Metamaterials, Mod. Phys. Lett. B, Volume 26 (2012) no. 17, 1250105 (in English) | DOI

[19] S. Brule; E. H. Javelaud; S. Enoch; S. Guenneau Experiments on seismic metamaterials: Molding surface waves, Phys. Rev. Lett., Volume 112 (2014) no. 13, 133901 (in English) | DOI

[20] Y. Achaoui; T. Antonakakis; S. Brûlé; R. V. Craster; S. Enoch; S. Guenneau Clamped seismic metamaterials: ultra-low frequency stop bands, New J. Phys., Volume 19 (2017) no. 6, 063022 | DOI

[21] Y. Achaoui; B. Ungureanu; S. Enoch; S. Brule; S. Guenneau Seismic waves damping with arrays of inertial resonators, Extreme Mech. Lett., Volume 8 (2016), pp. 30-37 (in English) | DOI

[22] S. Krödel; N. Thomé; C. Daraio Wide band-gap seismic metastructures, Extreme Mech. Lett., Volume 4 (2015), pp. 111-117 | DOI

[23] C. P. Berraquero; A. Maurel; P. Petitjeans; V. Pagneux Experimental realization of a water-wave metamaterial shifter, Phys. Rev. E, Volume 88 (2013) no. 5, 051002 (in English) | DOI

[24] T. C. Han; T. Yuan; B. W. Li; C. W. Qiu Homogeneous thermal cloak with constant conductivity and tunable heat localization, Sci. Rep., Volume 3 (2013), 1593 (in English) | DOI

[25] Y. Zeng; Y. Xu; H. Yang; M. Muzamil; R. Xu; K. Deng; P. Peng; Q. Du A Matryoshka-like seismic metamaterial with wide band-gap characteristics, Int. J. Solids Struct., Volume 185 (2020), pp. 334-341 (in English) | DOI

[26] Y. Zeng; P. Peng; Q.-J. Du; Y.-S. Wang; B. Assouar Subwavelength seismic metamaterial with an ultra-low frequency bandgap, J. Appl. Phys., Volume 128 (2020) no. 1, 014901 | DOI

[27] F. Zeighami; A. Palermo; A. Vratsikidis; Z. B. Cheng; D. Pitilakis; A. Marzani Medium-scale resonant wave barrier for seismic surface waves, Mech. Based Des. Struct. Machines, Volume 49 (2020) no. 8, pp. 1157-1172 (in English) | DOI

[28] R. Zaccherini; A. Palermo; A. Marzani; A. Colombi; V. Dertimanis; E. Chatzi Mitigation of Rayleigh-like waves in granular media via multi-layer resonant metabarriers, Appl. Phys. Lett., Volume 117 (2020) no. 25, 254103 (in English) | DOI

[29] R. Zaccherini; A. Colombi; A. Palermo; V. K. Dertimanis; A. Marzani; H. R. Thomsen; B. Stojadinovic; E. N. Chatzi Locally resonant metasurfaces for shear waves in granular media, Phys. Rev. Appl., Volume 13 (2020) no. 3, 034055 (in English) | DOI

[30] X. Pu; A. Palermo; Z. Cheng; Z. Shi; 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., Volume 154 (2020), 103347 | MR | Zbl

[31] Muhammad; T. Wu; C. W. Lim Forest trees as naturally available seismic metamaterials: Low frequency Rayleigh wave with extremely wide bandgaps, Int. J. Struct. Stability Dyn., Volume 20 (2020) no. 14, 2043014 | MR

[32] P. Mandal; S. N. Somala Periodic pile-soil system as a barrier for seismic surface waves, SN Appl. Sci., Volume 2 (2020) no. 7, 1184 | DOI

[33] M. Lott; P. Roux; S. Garambois; P. Gueguen; A. Colombi Evidence of metamaterial physics at the geophysics scale: the METAFORET experiment, Geophys. J. Int., Volume 220 (2020) no. 2, pp. 1330-1339 (in English) | DOI

[34] W. Liu; G. H. Yoon; B. Yi; Y. Yang; Y. Chen Ultra-wide band gap metasurfaces for controlling seismic surface waves, Extreme Mech. Lett., Volume 41 (2020), 101018 | DOI

[35] T. Li; Q. Su; S. Kaewunruen Seismic metamaterial barriers for ground vibration mitigation in railways considering the train-track-soil dynamic interactions, Construct. Build. Mater., Volume 260 (2020), 119936 | DOI

[36] A. Colombi; R. Zaccherini; G. Aguzzi; A. Palermo; E. Chatzi Mitigation of seismic waves: Metabarriers and metafoundations bench tested, J. Sound Vib., Volume 485 (2020), 115537 | DOI

[37] Y. Zeng; Y. Xu; K. Deng; P. Peng; H. Yang; M. Muzamil; Q. Du A broadband seismic metamaterial plate with simple structure and easy realization, J. Appl. Phys., Volume 125 (2019) no. 22, 224901 (in English) | DOI

[38] Y. Xu; R. Xu; P. Peng; H. W. Yang; Y. Zeng; Q. J. Du Broadband H-shaped seismic metamaterial with a rubber coating, EPL, Volume 127 (2019) no. 1, 17002 (in English) | DOI

[39] F. F. Sun; L. Xiao Bandgap characteristics and seismic applications of inerter-in-lattice metamaterials, J. Eng. Mech., Volume 145 (2019) no. 9, 04019067 (in English) | DOI

[40] Muhammad; C. W. Lim; J. N. Reddy Built-up structural steel sections as seismic metamaterials for surface wave attenuation with low frequency wide bandgap in layered soil medium, Eng. Struct., Volume 188 (2019), pp. 440-451 (in English) | DOI

[41] Y. F. Liu; J. K. Huang; Y. G. Li; Z. F. Shi Trees as large-scale natural metamaterials for low-frequency vibration reduction, Construct. Build. Mater., Volume 199 (2019), pp. 737-745 (in English) | DOI

[42] A. Palermo; M. Vitali; A. Marzani Metabarriers with multi-mass locally resonating units for broad band Rayleigh waves attenuation, Soil Dyn. Earthq. Eng., Volume 113 (2018), pp. 265-277 (in English) | DOI

[43] A. Palermo; S. Krodel; K. H. Matlack; R. Zaccherini; V. K. Dertimanis; E. N. Chatzi; A. Marzani; C. Daraio Hybridization of guided surface acoustic modes in unconsolidated granular media by a resonant metasurface, Phys. Rev. Appl., Volume 9 (2018) no. 5, 054026 (in English) | DOI

[44] A. Palermo; M. Vitali; A. Marzani; IEEE A multi-mass metabarrier to protect buildings from seismic rayleigh waves, 2017 11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena (2017), pp. 250-252 | DOI

[45] L. Brillouin Wave Propagation in Periodic Structures, Dover Publications, Inc., New York, 1953

[46] Z. Y. Liu; X. Zhang; Y. Mao; Y. Y. Zhu; C. T. Chan; P. Sheng Locally resonant sonic materials, Science, Volume 289 (2000) no. 5485, pp. 1734-1736 (in English) | DOI

[47] C. Kittel Introduction to Solid State Physics, Wiley, Hoboken, NJ, 2004

[48] M. Miniaci; A. Krushynska; F. Bosia; N. M. Pugno Large scale mechanical metamaterials as seismic shields, New J. Phys., Volume 18 (2016), 083041 (in English) | DOI

[49] G. Altshuller And Suddenly the Inventor Appeared: TRIZ, the Theory of Inventive Problem Solving, Technical Innovation Center, Inc., Worcester, MA, 1996

[50] Q. J. Du; Y. Zeng; Y. Xu; H. W. Yang; Z. X. Zeng H-fractal seismic metamaterial with broadband low-frequency bandgaps, J. Phys. D-Appl. Phys., Volume 51 (2018) no. 10, 105104 | DOI

[51] M. Miniaci; A. Krushynska; F. Bosia; N. M. Pugno Large scale mechanical metamaterials as seismic shields, New J. Phys., Volume 18 (2016) no. 8, 083041 | DOI

[52] Muhammad; C. W. Lim Elastic waves propagation in thin plate metamaterials and evidence of low frequency pseudo and local resonance bandgaps, Phys. Lett. A, Volume 383 (2019) no. 23, pp. 2789-2796 | DOI

[53] Y. Xu; R. Xu; P. Peng; H. Yang; Y. Zeng; Q. Du Broadband H-shaped seismic metamaterial with a rubber coating, EPL (Europhys. Lett.), Volume 127 (2019) no. 1, 17002 | DOI

[54] Y. Zeng; Y. Xu; H. Yang; M. Muzamil; R. Xu; K. Deng; P. Peng; Q. Du A Matryoshka-like seismic metamaterial with wide band-gap characteristics, Int. J. Solids Struct., Volume 185–186 (2019), pp. 334-341 | DOI

[55] V. La Salandra; M. Wenzel; O. S. Bursi; G. Carta; A. B. Movchan Conception of a 3D metamaterial-based foundation for static and seismic protection of fuel storage tanks, Front. Mater., Volume 4 (2017), 30 (in English) | DOI

[56] J.-P. Berenger A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys., Volume 114 (1994) no. 2, pp. 185-200 | DOI | MR | Zbl

[57] M. B. Duhring; V. Laude; A. Khelif Energy storage and dispersion of surface acoustic waves trapped in a periodic array of mechanical resonators, J. Appl. Phys., Volume 105 (2009) no. 9, 093504 (in English) | DOI

[58] P. Hofmann Solid State Physics: An Introduction, Wiley-VCH, Weinheim, Germany, 2015

[59] Y. Achaoui; A. Khelif; S. Benchabane; L. Robert; V. Laude Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars, Phys. Rev. B, Volume 83 (2011) no. 10, 104201 (in English) | DOI

[60] J. Huang; Y. Liu; Y. Li Trees as large-scale natural phononic crystals: Simulation and experimental verification, Int. Soil Water Conserv. Res., Volume 7 (2019) no. 2, pp. 196-202 | DOI

[61] D. Appelö; N. Petersson A stable finite difference method for the elastic wave equation on complex geometries with free surfaces, Commun. Comput. Phys., Volume 5 (2009), pp. 84-107 | MR | Zbl

[62] K. T. Tan; H. H. Huang; C. T. Sun Blast-wave impact mitigation using negative effective mass density concept of elastic metamaterials, Int. J. Impact Eng., Volume 64 (2014), pp. 20-29 (in English) | DOI

[63] X. C. Xu; M. V. Barnhart; X. P. Li; Y. Y. Chen; G. L. Huang Tailoring vibration suppression bands with hierarchical metamaterials containing local resonators, J. Sound Vib., Volume 442 (2019), pp. 237-248 (in English) | DOI

[64] H. H. Huang; C. T. Sun; G. L. Huang On the negative effective mass density in acoustic metamaterials, Int. J. Eng. Sci., Volume 47 (2009) no. 4, pp. 610-617 (in English) | DOI

[65] H. H. Huang; C. T. Sun Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density, New J. Phys., Volume 11 (2009), 013003 (in English) | DOI

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