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Bio-inspired non self-similar hierarchical elastic metamaterials

Mazzotti, M. and Foehr, A. and Bilal, O. R. and Bergamini, A. and Bosia, F. and Daraio, C. and Pugno, N. M. and Miniaci, M. (2023) Bio-inspired non self-similar hierarchical elastic metamaterials. International Journal of Mechanical Sciences, 241 . Art. No. 107915. ISSN 0020-7403. doi:10.1016/j.ijmecsci.2022.107915.

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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. 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.

Item Type:Article
Related URLs:
URLURL TypeDescription
Foehr, A.0000-0003-0941-5424
Bilal, O. R.0000-0003-3803-5084
Bergamini, A.0000-0003-2722-3207
Bosia, F.0000-0002-2886-4519
Daraio, C.0000-0001-5296-4440
Pugno, N. M.0000-0003-2136-2396
Miniaci, M.0000-0002-6830-3548
Additional Information:M. Miniaci is supported by the EU H2020 ERC StG «POSEIDON», Grant Agreement No. 101039576. A. Bergamini, F. Bosia, N.M. Pugno, M. Miniaci are supported by the EU H2020 FET Open «BOHEME», Grant Agreement No. 863179. C. Daraio acknowledges financial support from the Department of Energy under grant DE-SC0021253.
Funding AgencyGrant Number
European Research Council (ERC)101039576
European Research Council (ERC)863179
Department of Energy (DOE)DE-SC0021253
Record Number:CaltechAUTHORS:20230213-466109600.16
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119244
Deposited By: Research Services Depository
Deposited On:24 Mar 2023 19:23
Last Modified:24 Mar 2023 20:31

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