Band structures of transverse waves in nanoscale multilayered phononic crystals with nonlocal interface imperfections by using the radial basis function method |
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| Authors: | Zhizhong Yan Chunqiu Wei Chuanzeng Zhang |
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| Institution: | 1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China;Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, China;2. Department of Civil Engineering, University of Siegen, Siegen 57068, Germany |
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| Abstract: | A radial basis function collocation method based on the nonlocal elastic continuum theory is developed to com-pute the band structures of nanoscale multilayered phononic crystals. The effects of nonlocal imperfect interfaces on band structures of transverse waves propagating obliquely or verti-cally in the system are studied. The correctness of the present method is verified by comparing the numerical results with those obtained by applying the transfer matrix method in the case of nonlocal perfect interface. Furthermore, the influ-ences of the nanoscale size, the impedance ratio and the incident angle on the cut-off frequency and band structures are investigated and discussed in detail. Numerical results show that the nonlocal interface imperfections have signif-icant effects on the band structures in the macroscopic and microscopic scale. |
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| Keywords: | Radial basis function Phononic crystal Nanoscale Band structure Nonlocal imperfect interface |
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