期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 168, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.104995
关键词
Mechanical metamaterials; Micromorphic models; Band gaps; Meta-structures; Energy focusing
资金
- European Commission through ERC Consolidator Grant META-LEGO [101001759]
- French Research Agency ANR, METASMART'' [ANR-17CE08-0006]
- DFG [902/10-1, 440935806]
- European Research Council (ERC) [101001759] Funding Source: European Research Council (ERC)
This paper presents a unit cell that exhibits a band-gap in the lower acoustic domain, and confirms its viability through manufacturing and experimental tests. The introduction of a micromorphic model allows for focusing elastic energy, enabling the optimization of complex structures. This opens up new possibilities in metastructural design.
In this paper, we present a unit cell showing a band-gap in the lower acoustic domain. The corresponding metamaterial is made up of a periodic arrangement of one unit cell. We rigorously show that the relaxed micromorphic model can be used for metamaterials' design at large scales as soon as sufficiently large specimens are considered. We manufacture the metamaterial via metal etching procedures applied to a titanium plate so as to show that its production for realistic applications is viable. Experimental tests are also carried out confirming that the metamaterials' response is in good agreement with the theoretical design. In order to show that our micromorphic model opens unprecedented possibilities in metastructural design, we conceive a finite-size structure that is able to focus elastic energy in a confined region, thus enabling its possible subsequent use for optimizing complex structures. Indeed, thanks to the introduction of a well-posed set of micromorphic boundary conditions, we can combine different metamaterials and classical Cauchy materials in such a way that the elastic energy produced by a source of vibrations is focused in specific collection points. The design of this structure would have not been otherwise possible (via e.g., direct simulations), due to the large dimensions of the metastructure, counting hundreds of unit cells.
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