Zero-frequency and slow elastic modes in phononic monolayer granular membranes
We theoretically study the dispersion properties of elastic waves in hexagonal and honeycomb monolayer granular membranes with either out-of-plane or in-plane particle motion. The particles interact predominantly via normal and transverse contact rigidities. When rotational degrees of freedom are ta...
Gespeichert in:
| Veröffentlicht in: | Ultrasonics 2016-07, Vol.69, p.201-214 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 214 |
|---|---|
| container_issue | |
| container_start_page | 201 |
| container_title | Ultrasonics |
| container_volume | 69 |
| creator | Zheng, Li-Yang Pichard, Hélène Tournat, Vincent Theocharis, Georgios Gusev, Vitalyi |
| description | We theoretically study the dispersion properties of elastic waves in hexagonal and honeycomb monolayer granular membranes with either out-of-plane or in-plane particle motion. The particles interact predominantly via normal and transverse contact rigidities. When rotational degrees of freedom are taken into account, the bending and torsional rigidities of the intergrain contacts can control some of the phononic modes. The existence of zero-frequency modes, zero-group-velocity modes and their transformation into slow propagating phononic modes due to weak bending and torsional intergrain interactions are investigated. We also study the formation and manipulation of Dirac cones and multiple degenerated modes. This could motivate variety of potential applications in elastic waves control by manipulating the contact rigidities in granular phononic crystals. |
| doi_str_mv | 10.1016/j.ultras.2015.11.005 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02535971v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0041624X15002875</els_id><sourcerecordid>1787935543</sourcerecordid><originalsourceid>FETCH-LOGICAL-c429t-d89ffd8ede230217c1508f6de47a65d0be88745cd33ea45c166ae93e9409a7023</originalsourceid><addsrcrecordid>eNqFkUtv1DAQgC0EokvhHyCUIxwSZvxKckGqqkKRVnABCXGxvPaEZpXEi50U7b_H27Q9wmms0Teex8fYa4QKAfX7fbUMc7Sp4oCqQqwA1BO2waaWZdvq5inbAEgsNZc_ztiLlPYAKBsUz9kZ1xpqBLVhX35SDGUX6fdCkzsWdvJFGsKfggab5t4VY_CUin4qDjdhCtNdZgqDPVIsfkU7LYONxUjjLr8pvWTPOjskenUfz9n3j1ffLq_L7ddPny8vtqWTvJ1L37Rd5xvyxAVwrB0qaDrtSdZWKw87avIaynkhyOaIWltqBbUSWlsDF-fs3frvjR3MIfajjUcTbG-uL7bmlAOuhGprvMXMvl3ZQwx5yzSbsU-OhiEPHJZksEENKp-D_x-tm7oVSkmRUbmiLoaUInWPYyCYkyCzN6sgcxJkEE0WlMve3HdYdiP5x6IHIxn4sAKUz3fbUzTJ9VkN-T6Sm40P_b87_AXc-6La</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1787935543</pqid></control><display><type>article</type><title>Zero-frequency and slow elastic modes in phononic monolayer granular membranes</title><source>ScienceDirect Journals (5 years ago - present)</source><creator>Zheng, Li-Yang ; Pichard, Hélène ; Tournat, Vincent ; Theocharis, Georgios ; Gusev, Vitalyi</creator><creatorcontrib>Zheng, Li-Yang ; Pichard, Hélène ; Tournat, Vincent ; Theocharis, Georgios ; Gusev, Vitalyi</creatorcontrib><description>We theoretically study the dispersion properties of elastic waves in hexagonal and honeycomb monolayer granular membranes with either out-of-plane or in-plane particle motion. The particles interact predominantly via normal and transverse contact rigidities. When rotational degrees of freedom are taken into account, the bending and torsional rigidities of the intergrain contacts can control some of the phononic modes. The existence of zero-frequency modes, zero-group-velocity modes and their transformation into slow propagating phononic modes due to weak bending and torsional intergrain interactions are investigated. We also study the formation and manipulation of Dirac cones and multiple degenerated modes. This could motivate variety of potential applications in elastic waves control by manipulating the contact rigidities in granular phononic crystals.</description><identifier>ISSN: 0041-624X</identifier><identifier>EISSN: 1874-9968</identifier><identifier>DOI: 10.1016/j.ultras.2015.11.005</identifier><identifier>PMID: 26607105</identifier><language>eng</language><publisher>Netherlands: Elsevier B.V</publisher><subject>Acoustics ; Bending ; Contact ; Elastic waves ; Engineering Sciences ; Granular phononic crystal ; Honeycomb ; Membranes ; Monolayers ; Propagation ; Rigidity ; Zero-frequency modes</subject><ispartof>Ultrasonics, 2016-07, Vol.69, p.201-214</ispartof><rights>2015 Elsevier B.V.</rights><rights>Copyright © 2015 Elsevier B.V. All rights reserved.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c429t-d89ffd8ede230217c1508f6de47a65d0be88745cd33ea45c166ae93e9409a7023</citedby><cites>FETCH-LOGICAL-c429t-d89ffd8ede230217c1508f6de47a65d0be88745cd33ea45c166ae93e9409a7023</cites><orcidid>0000-0003-0438-0488 ; 0000-0003-2984-4197 ; 0000-0002-2394-7892 ; 0000-0003-4497-5742</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ultras.2015.11.005$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,778,782,883,3539,27911,27912,45982</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/26607105$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://univ-lemans.hal.science/hal-02535971$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Zheng, Li-Yang</creatorcontrib><creatorcontrib>Pichard, Hélène</creatorcontrib><creatorcontrib>Tournat, Vincent</creatorcontrib><creatorcontrib>Theocharis, Georgios</creatorcontrib><creatorcontrib>Gusev, Vitalyi</creatorcontrib><title>Zero-frequency and slow elastic modes in phononic monolayer granular membranes</title><title>Ultrasonics</title><addtitle>Ultrasonics</addtitle><description>We theoretically study the dispersion properties of elastic waves in hexagonal and honeycomb monolayer granular membranes with either out-of-plane or in-plane particle motion. The particles interact predominantly via normal and transverse contact rigidities. When rotational degrees of freedom are taken into account, the bending and torsional rigidities of the intergrain contacts can control some of the phononic modes. The existence of zero-frequency modes, zero-group-velocity modes and their transformation into slow propagating phononic modes due to weak bending and torsional intergrain interactions are investigated. We also study the formation and manipulation of Dirac cones and multiple degenerated modes. This could motivate variety of potential applications in elastic waves control by manipulating the contact rigidities in granular phononic crystals.</description><subject>Acoustics</subject><subject>Bending</subject><subject>Contact</subject><subject>Elastic waves</subject><subject>Engineering Sciences</subject><subject>Granular phononic crystal</subject><subject>Honeycomb</subject><subject>Membranes</subject><subject>Monolayers</subject><subject>Propagation</subject><subject>Rigidity</subject><subject>Zero-frequency modes</subject><issn>0041-624X</issn><issn>1874-9968</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqFkUtv1DAQgC0EokvhHyCUIxwSZvxKckGqqkKRVnABCXGxvPaEZpXEi50U7b_H27Q9wmms0Teex8fYa4QKAfX7fbUMc7Sp4oCqQqwA1BO2waaWZdvq5inbAEgsNZc_ztiLlPYAKBsUz9kZ1xpqBLVhX35SDGUX6fdCkzsWdvJFGsKfggab5t4VY_CUin4qDjdhCtNdZgqDPVIsfkU7LYONxUjjLr8pvWTPOjskenUfz9n3j1ffLq_L7ddPny8vtqWTvJ1L37Rd5xvyxAVwrB0qaDrtSdZWKw87avIaynkhyOaIWltqBbUSWlsDF-fs3frvjR3MIfajjUcTbG-uL7bmlAOuhGprvMXMvl3ZQwx5yzSbsU-OhiEPHJZksEENKp-D_x-tm7oVSkmRUbmiLoaUInWPYyCYkyCzN6sgcxJkEE0WlMve3HdYdiP5x6IHIxn4sAKUz3fbUzTJ9VkN-T6Sm40P_b87_AXc-6La</recordid><startdate>201607</startdate><enddate>201607</enddate><creator>Zheng, Li-Yang</creator><creator>Pichard, Hélène</creator><creator>Tournat, Vincent</creator><creator>Theocharis, Georgios</creator><creator>Gusev, Vitalyi</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-0438-0488</orcidid><orcidid>https://orcid.org/0000-0003-2984-4197</orcidid><orcidid>https://orcid.org/0000-0002-2394-7892</orcidid><orcidid>https://orcid.org/0000-0003-4497-5742</orcidid></search><sort><creationdate>201607</creationdate><title>Zero-frequency and slow elastic modes in phononic monolayer granular membranes</title><author>Zheng, Li-Yang ; Pichard, Hélène ; Tournat, Vincent ; Theocharis, Georgios ; Gusev, Vitalyi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c429t-d89ffd8ede230217c1508f6de47a65d0be88745cd33ea45c166ae93e9409a7023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Acoustics</topic><topic>Bending</topic><topic>Contact</topic><topic>Elastic waves</topic><topic>Engineering Sciences</topic><topic>Granular phononic crystal</topic><topic>Honeycomb</topic><topic>Membranes</topic><topic>Monolayers</topic><topic>Propagation</topic><topic>Rigidity</topic><topic>Zero-frequency modes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zheng, Li-Yang</creatorcontrib><creatorcontrib>Pichard, Hélène</creatorcontrib><creatorcontrib>Tournat, Vincent</creatorcontrib><creatorcontrib>Theocharis, Georgios</creatorcontrib><creatorcontrib>Gusev, Vitalyi</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Ultrasonics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zheng, Li-Yang</au><au>Pichard, Hélène</au><au>Tournat, Vincent</au><au>Theocharis, Georgios</au><au>Gusev, Vitalyi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Zero-frequency and slow elastic modes in phononic monolayer granular membranes</atitle><jtitle>Ultrasonics</jtitle><addtitle>Ultrasonics</addtitle><date>2016-07</date><risdate>2016</risdate><volume>69</volume><spage>201</spage><epage>214</epage><pages>201-214</pages><issn>0041-624X</issn><eissn>1874-9968</eissn><abstract>We theoretically study the dispersion properties of elastic waves in hexagonal and honeycomb monolayer granular membranes with either out-of-plane or in-plane particle motion. The particles interact predominantly via normal and transverse contact rigidities. When rotational degrees of freedom are taken into account, the bending and torsional rigidities of the intergrain contacts can control some of the phononic modes. The existence of zero-frequency modes, zero-group-velocity modes and their transformation into slow propagating phononic modes due to weak bending and torsional intergrain interactions are investigated. We also study the formation and manipulation of Dirac cones and multiple degenerated modes. This could motivate variety of potential applications in elastic waves control by manipulating the contact rigidities in granular phononic crystals.</abstract><cop>Netherlands</cop><pub>Elsevier B.V</pub><pmid>26607105</pmid><doi>10.1016/j.ultras.2015.11.005</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0003-0438-0488</orcidid><orcidid>https://orcid.org/0000-0003-2984-4197</orcidid><orcidid>https://orcid.org/0000-0002-2394-7892</orcidid><orcidid>https://orcid.org/0000-0003-4497-5742</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0041-624X |
| ispartof | Ultrasonics, 2016-07, Vol.69, p.201-214 |
| issn | 0041-624X 1874-9968 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_02535971v1 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Acoustics Bending Contact Elastic waves Engineering Sciences Granular phononic crystal Honeycomb Membranes Monolayers Propagation Rigidity Zero-frequency modes |
| title | Zero-frequency and slow elastic modes in phononic monolayer granular membranes |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T11%3A51%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Zero-frequency%20and%20slow%20elastic%20modes%20in%20phononic%20monolayer%20granular%20membranes&rft.jtitle=Ultrasonics&rft.au=Zheng,%20Li-Yang&rft.date=2016-07&rft.volume=69&rft.spage=201&rft.epage=214&rft.pages=201-214&rft.issn=0041-624X&rft.eissn=1874-9968&rft_id=info:doi/10.1016/j.ultras.2015.11.005&rft_dat=%3Cproquest_hal_p%3E1787935543%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1787935543&rft_id=info:pmid/26607105&rft_els_id=S0041624X15002875&rfr_iscdi=true |