Surface/interface effect on band structures of nanosized phononic crystals

被引：37
|
作者：
Zhen, Ni [1 ]
Wang, Yue-Sheng [1 ]
Zhang, Chuanzeng [2 ]
机构：
[1] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China
[2] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2012年 / 46卷
基金：
中国国家自然科学基金;
关键词：
Phononic crystal; Nanoscale; Surface/interface effect; Bandgap; Dirichlet-to-Neumann map; MULTIPLE-SCATTERING THEORY; ELASTIC-CONSTANTS; SURFACE STRESS; WAVES; MECHANICS;
D O I：
10.1016/j.mechrescom.2012.09.002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The band structures of transverse waves propagating in a two-dimensional phononic crystal composed of nanosized holes or elastic inclusions embedded in an elastic solid is calculated using the method based on the Dirichlet-to-Neumann map. The surface/interface effect of the nanosized holes/inclusions are taken into account by assuming the Young-Laplace equation at the surface/interface. Both square and triangular lattices are considered. Detailed calculations are presented for two cases: a square or triangular lattice of nanosized holes in an aluminum host and a square or triangular lattice of aluminum inclusions in a tungsten host. The results show that the consideration of the surface/interface effect is significant for nanosized phononic crystals. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：81 / 89
页数：9
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