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    Controlling elastic waves with small phononic crystals containing rigid inclusions

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    Type
    Article
    Authors
    Peng, Pai
    Qiu, Chunyin
    Liu, Zhengyou
    Wu, Ying cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Applied Mathematics and Computational Science Program
    Waves in Complex Media Research Group
    Date
    2014-05-22
    Online Publication Date
    2014-05-22
    Print Publication Date
    2014-05-01
    Permanent link to this record
    http://hdl.handle.net/10754/563537
    
    Metadata
    Show full item record
    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.
    Citation
    Peng, P., Qiu, C., Liu, Z., & Wu, Y. (2014). Controlling elastic waves with small phononic crystals containing rigid inclusions. EPL (Europhysics Letters), 106(4), 46003. doi:10.1209/0295-5075/106/46003
    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.
    Publisher
    IOP Publishing
    Journal
    EPL (Europhysics Letters)
    DOI
    10.1209/0295-5075/106/46003
    ae974a485f413a2113503eed53cd6c53
    10.1209/0295-5075/106/46003
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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