Controlling elastic waves with small phononic crystals containing rigid inclusions

Handle URI:
http://hdl.handle.net/10754/563537
Title:
Controlling elastic waves with small phononic crystals containing rigid inclusions
Authors:
Peng, Pai; Qiu, Chunyin; Liu, Zhengyou; Wu, Ying ( 0000-0002-7919-1107 )
Abstract:
We show that a two-dimensional elastic phononic crystal comprising rigid cylinders in a solid matrix possesses a large complete band gap below a cut-off frequency. A mechanical model reveals that the band gap is induced by negative effective mass density, which is affirmed by an effective medium theory based on field averaging. We demonstrate, by two examples, that such elastic phononic crystals can be utilized to design small devices to control low-frequency elastic waves. One example is a waveguide made of a two-layer anisotropic elastic phononic crystal, which can guide and bend elastic waves with wavelengths much larger than the size of the waveguide. The other example is the enhanced elastic transmission of a single-layer elastic phononic crystal loaded with solid inclusions. The effective mass density and reciprocal of the modulus of the single-layer elastic phononic crystal are simultaneously near zero. © CopyrightEPLA, 2014.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Waves in Complex Media Research Group
Publisher:
IOP Publishing
Journal:
EPL (Europhysics Letters)
Issue Date:
1-May-2014
DOI:
10.1209/0295-5075/106/46003
Type:
Article
ISSN:
02955075
Sponsors:
The authors would like to thank Dr. FEIYAN CAI for discussions. This work was supported by the KAUST Baseline Research Fund and the NSFC grant 11174225 is gratefully acknowledged.
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorPeng, Paien
dc.contributor.authorQiu, Chunyinen
dc.contributor.authorLiu, Zhengyouen
dc.contributor.authorWu, Yingen
dc.date.accessioned2015-08-03T11:53:55Zen
dc.date.available2015-08-03T11:53:55Zen
dc.date.issued2014-05-01en
dc.identifier.issn02955075en
dc.identifier.doi10.1209/0295-5075/106/46003en
dc.identifier.urihttp://hdl.handle.net/10754/563537en
dc.description.abstractWe show that a two-dimensional elastic phononic crystal comprising rigid cylinders in a solid matrix possesses a large complete band gap below a cut-off frequency. A mechanical model reveals that the band gap is induced by negative effective mass density, which is affirmed by an effective medium theory based on field averaging. We demonstrate, by two examples, that such elastic phononic crystals can be utilized to design small devices to control low-frequency elastic waves. One example is a waveguide made of a two-layer anisotropic elastic phononic crystal, which can guide and bend elastic waves with wavelengths much larger than the size of the waveguide. The other example is the enhanced elastic transmission of a single-layer elastic phononic crystal loaded with solid inclusions. The effective mass density and reciprocal of the modulus of the single-layer elastic phononic crystal are simultaneously near zero. © CopyrightEPLA, 2014.en
dc.description.sponsorshipThe authors would like to thank Dr. FEIYAN CAI for discussions. This work was supported by the KAUST Baseline Research Fund and the NSFC grant 11174225 is gratefully acknowledged.en
dc.publisherIOP Publishingen
dc.titleControlling elastic waves with small phononic crystals containing rigid inclusionsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentWaves in Complex Media Research Groupen
dc.identifier.journalEPL (Europhysics Letters)en
dc.contributor.institutionKey Laboratory of Artificial Micro- and Nano-structures of the Ministry of Education, China and School of Physics and Technology, Wuhan University, Wuhan 430072, Chinaen
kaust.authorPeng, Paien
kaust.authorWu, Yingen
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