The dispersion relations and band gap properties of 2D phononic crystals with periodically arranged nanoholes or nanofibers are studied based on the multiple scattering method. Elastic waves polarized along the axes of the nanoholes or nanofibers are considered. Gurtin’s surface/interface models are used to deal with surfaces of the nanoholes and interfaces between the nanofibers and the host material. Some numerical examples are given, and the results obtained are illustrated graphically. It is found that the surface/interface effect influences the dispersion relations and band gaps considerably. The band gaps may become wide or narrow depending on the surface parameter.
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This work was supported by the National Natural Science Foundation of China (No.10972029)
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 51, No. 4, pp. 735-746 , July-August, 2015.
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Cai, B., Wei, P.J. & Kong, Z. Surface/Interface Effect on the Band Gap of an Antiplane Wave in a 2D Phononic Crystal with Parallel Nanoholes or Nanofibers. Mech Compos Mater 51, 521–530 (2015). https://doi.org/10.1007/s11029-015-9522-7
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DOI: https://doi.org/10.1007/s11029-015-9522-7