Controlling elastic waves with small phononic crystals containing rigid inclusions
Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionApplied Mathematics and Computational Science Program
Waves in Complex Media Research Group
Date
2014-05-22Online Publication Date
2014-05-22Print Publication Date
2014-05-01Permanent link to this record
http://hdl.handle.net/10754/563537
Metadata
Show full item recordAbstract
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:10.1209/0295-5075/106/46003Sponsors
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 PublishingJournal
EPL (Europhysics Letters)ae974a485f413a2113503eed53cd6c53
10.1209/0295-5075/106/46003