期刊
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
卷 54, 期 -, 页码 125-132出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physe.2013.06.012
关键词
Nanoscale phononic crystal; Surface/interface effect; Bandgap; Dirichlet-to-Neumann map; In-plane wave
资金
- National Natural Science Foundation of China [11272043, 11202021]
- German Research Foundation (DFG) [ZH 15/11-1, ZH 15/16-1]
- International Bureau of the German Federal Ministry of Education and Research (BMBF) [CHN 11/045]
In the present paper, the band structures of in-plane waves propagating in two-dimensional nanoscale phononic crystals composed of voids/inclusions in an elastic solid in square and triangular lattices are calculated by the method based on the Dirichlet-to-Neumann map. The surface/interface effects are taken into account due to the high surface-to-volume ratio by applying the Young-Laplace equilibrium equation at the surface/interface. Three systems at nanoscale are calculated in details: vacuum holes in an aluminum matrix in square and triangular lattices, aluminum cylinders in tungsten matrix in a square lattice, and tungsten cylinders in aluminum in a square lattice. The results show that the surface/interface effects are significant when the dimensions of the phononic crystals approach the nanometer scale. (C) 2013 Elsevier B.V. All rights reserved.
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