Mapping acoustical activity in 3D chiral mechanical metamaterials onto micropolar continuum elasticity
We compare the phonon band structures and chiral phonon eigenmodes of a recently experimentally realized three-dimensional (3D) cubic chiral metamaterial architecture to results from linear micropolar elasticity, an established generalization of classical linear Cauchy elasticity. We achieve very go...
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| Veröffentlicht in: | Journal of the mechanics and physics of solids 2020-04, Vol.137, p.103877, Article 103877 |
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| container_title | Journal of the mechanics and physics of solids |
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| creator | Chen, Yi Frenzel, Tobias Guenneau, Sébastien Kadic, Muamer Wegener, Martin |
| description | We compare the phonon band structures and chiral phonon eigenmodes of a recently experimentally realized three-dimensional (3D) cubic chiral metamaterial architecture to results from linear micropolar elasticity, an established generalization of classical linear Cauchy elasticity. We achieve very good qualitative agreement concerning the anisotropies of the eigenfrequencies, the anisotropies of the eigenmode properties of the acoustic branches, as well as with respect to the observed pronounced sample-size dependence of acoustical activity and of the static push-to-twist conversion effects. The size dependence of certain properties, that is, the loss of scale invariance, is a fingerprint of micropolar elasticity. We also discuss quantitative shortcomings and conceptual limitations of mapping the properties of finite-size 3D chiral mechanical metamaterials onto micropolar continuum elasticity. |
| doi_str_mv | 10.1016/j.jmps.2020.103877 |
| format | Article |
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We achieve very good qualitative agreement concerning the anisotropies of the eigenfrequencies, the anisotropies of the eigenmode properties of the acoustic branches, as well as with respect to the observed pronounced sample-size dependence of acoustical activity and of the static push-to-twist conversion effects. The size dependence of certain properties, that is, the loss of scale invariance, is a fingerprint of micropolar elasticity. We also discuss quantitative shortcomings and conceptual limitations of mapping the properties of finite-size 3D chiral mechanical metamaterials onto micropolar continuum elasticity.</description><identifier>ISSN: 0022-5096</identifier><identifier>EISSN: 1873-4782</identifier><identifier>DOI: 10.1016/j.jmps.2020.103877</identifier><language>eng</language><publisher>London: Elsevier Ltd</publisher><subject>Acoustic mapping ; Acoustic properties ; Acoustic waves ; Acoustical activity ; Acoustics ; Chirality ; Dependence ; Engineering Sciences ; Materials ; Mechanical metamaterials ; Metamaterials ; Micro and nanotechnologies ; Microelectronics ; Micropolar elasticity ; Phonons ; Qualitative analysis ; Resonant frequencies ; Scale invariance</subject><ispartof>Journal of the mechanics and physics of solids, 2020-04, Vol.137, p.103877, Article 103877</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 2020</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c362t-6387e172f7213d149714432b3b0f21085f4e27a2d8f537f741fad9703c68ec883</citedby><cites>FETCH-LOGICAL-c362t-6387e172f7213d149714432b3b0f21085f4e27a2d8f537f741fad9703c68ec883</cites><orcidid>0000-0002-4692-5696 ; 0000-0002-5924-622X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022509619311317$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3536,27903,27904,65309</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02993971$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Chen, Yi</creatorcontrib><creatorcontrib>Frenzel, Tobias</creatorcontrib><creatorcontrib>Guenneau, Sébastien</creatorcontrib><creatorcontrib>Kadic, Muamer</creatorcontrib><creatorcontrib>Wegener, Martin</creatorcontrib><title>Mapping acoustical activity in 3D chiral mechanical metamaterials onto micropolar continuum elasticity</title><title>Journal of the mechanics and physics of solids</title><description>We compare the phonon band structures and chiral phonon eigenmodes of a recently experimentally realized three-dimensional (3D) cubic chiral metamaterial architecture to results from linear micropolar elasticity, an established generalization of classical linear Cauchy elasticity. 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We also discuss quantitative shortcomings and conceptual limitations of mapping the properties of finite-size 3D chiral mechanical metamaterials onto micropolar continuum elasticity.</description><subject>Acoustic mapping</subject><subject>Acoustic properties</subject><subject>Acoustic waves</subject><subject>Acoustical activity</subject><subject>Acoustics</subject><subject>Chirality</subject><subject>Dependence</subject><subject>Engineering Sciences</subject><subject>Materials</subject><subject>Mechanical metamaterials</subject><subject>Metamaterials</subject><subject>Micro and nanotechnologies</subject><subject>Microelectronics</subject><subject>Micropolar elasticity</subject><subject>Phonons</subject><subject>Qualitative analysis</subject><subject>Resonant frequencies</subject><subject>Scale invariance</subject><issn>0022-5096</issn><issn>1873-4782</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPwzAQhC0EEqXwBzhZ4sQhxY80diQuVXkUqYgLnC3XsamjJA62U6n_Hocgjpx2NfpmtDsAXGO0wAgXd_WibvuwIIiMAuWMnYAZ5oxmOePkFMwQIiRborI4Bxch1AihJWJ4Bsyr7HvbfUKp3BCiVbJJa7QHG4_QdpA-QLW3PqmtVnvZ_QCtjrKVUXsrmwBdFx1srfKud430UCXBdsPQQt3IMTJFXYIzk1h99Tvn4OPp8X29ybZvzy_r1TZTtCAxK9LlGjNiGMG0wnnJcJ5TsqM7ZAhGfGlyTZgkFTdLygzLsZFVyRBVBdeKczoHt1PuXjai97aV_iictGKz2opRQ6QsaYo94MTeTGzv3degQxS1G3yXzhOEMp44mpNEkYlK_4XgtfmLxUiM3YtajN2LsXsxdZ9M95NJp18PVnsRlNWd0pX1WkVROfuf_RtZYYzG</recordid><startdate>20200401</startdate><enddate>20200401</enddate><creator>Chen, Yi</creator><creator>Frenzel, Tobias</creator><creator>Guenneau, Sébastien</creator><creator>Kadic, Muamer</creator><creator>Wegener, Martin</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-4692-5696</orcidid><orcidid>https://orcid.org/0000-0002-5924-622X</orcidid></search><sort><creationdate>20200401</creationdate><title>Mapping acoustical activity in 3D chiral mechanical metamaterials onto micropolar continuum elasticity</title><author>Chen, Yi ; 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| ispartof | Journal of the mechanics and physics of solids, 2020-04, Vol.137, p.103877, Article 103877 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Acoustic mapping Acoustic properties Acoustic waves Acoustical activity Acoustics Chirality Dependence Engineering Sciences Materials Mechanical metamaterials Metamaterials Micro and nanotechnologies Microelectronics Micropolar elasticity Phonons Qualitative analysis Resonant frequencies Scale invariance |
| title | Mapping acoustical activity in 3D chiral mechanical metamaterials onto micropolar continuum elasticity |
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