Bio-inspired non self-similar hierarchical elastic metamaterials

Mazzotti, Matteo; Foehr, Andre; Bilal, Osama R.; Bergamini, Andrea; Bosia, Federico; Daraio, Chiara; Pugno, Nicola M.; Miniaci, Marco

doi:10.1016/j.ijmecsci.2022.107915

Title: Bio-inspired non self-similar hierarchical elastic metamaterials

Journal Article · Thu Nov 17 04:00:00 UTC 2022 · International Journal of Mechanical Sciences

DOI: https://doi.org/10.1016/j.ijmecsci.2022.107915 · OSTI ID:2421845

Mazzotti, Matteo ^[1]; Foehr, Andre ^[2];

^[3];

^[4];

^[5]; Daraio, Chiara ^[6]; Pugno, Nicola M. ^[7];

^[8]

Institute of Electronics, Microelectronics and Nanotechnology, Villeneuve d'Ascq (France); Centre National de la Recherche Scientifique (CNRS) (France); OSTI
California Institute of Technology (CalTech), Pasadena, CA (United States); Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
Univ. of Connecticut, Storrs, CT (United States)
Swiss Federal Laboratories for Materials Science and Technology (Empa), Dübendorf (Switzerland). Laboratory for Acoustics/Noise Control
Politecnico di Torino (Italy)
California Institute of Technology (CalTech), Pasadena, CA (United States)
Univ. of Trento (Italy); Queen Mary Univ. of London (United Kingdom)
Institute of Electronics, Microelectronics and Nanotechnology, Villeneuve d'Ascq (France); Centre National de la Recherche Scientifique (CNRS) (France); California Institute of Technology (CalTech), Pasadena, CA (United States); Swiss Federal Laboratories for Materials Science and Technology (Empa), Dübendorf (Switzerland). Laboratory for Acoustics/Noise Control

Hierarchy provides unique opportunities for the design of advanced materials with superior properties that arise from architecture, rather than from constitutive material response. Contrary to the quasi-static regime, where the potential of hierarchy has been largely explored, its role in vibration mitigation and wave manipulation remains elusive. So far, the majority of the studies concerning hierarchical elastic metamaterials have proposed a self-similar repetition of a specific unit cell at multiple scale levels, leading to the activation of the same bandgap mechanism at different frequencies. On the contrary, here, we show that by designing non self-similar hierarchical geometries allows us to create periodic structures supporting multiple, highly attenuative and broadband bandgaps involving (independently or simultaneously) different scattering mechanisms, namely, Bragg scattering, local resonance and/or inertial amplification, at different frequencies. The type of band gap mechanism is identified and discussed by examining the vibrational mode shapes and the imaginary component of the wavenumber in the dispersion diagram of the unit cell. Finally, we also experimentally confirm this by performing measurements in the lowest frequency regime on a 3D printed structure. Hierarchical design strategies may find application in vibration mitigation for civil, aerospace and mechanical engineering.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0021253

OSTI ID:: 2421845

Journal Information:: International Journal of Mechanical Sciences, Journal Name: International Journal of Mechanical Sciences Vol. 241; ISSN 0020-7403

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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