Journal
ACTA MECHANICA SOLIDA SINICA
Volume 30, Issue 4, Pages 390-403Publisher
SPRINGER
DOI: 10.1016/j.camss.2017.07.012
Keywords
Multi-layered phononic crystals; Functionally graded interlayers; Nanoscale; Nonlocal elasticity theory; Radial basis functions
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Funding
- National Natural Science Foundation of China [11002026, 11372039]
- Beijing Natural Science Foundation [3133039]
- Scientific Research Foundation [20121832001]
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A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononic crystals (PNCs) with functionally graded (FG) interlayers. Detailed calculations are performed for anti-plane transverse waves propagating in such PNCs. The influences of FG and homogeneous interlayers, component number, nonlocal interface imperfections and nanoscale size on cut-off frequency and band structures are investigated in detail. Numerical results show that these factors have significant effects on band structures at the macroscopic and microscopic scales. (C) 2017 Published by Elsevier Ltd on behalf of Chinese Society of Theoretical and Applied Mechanics.
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