纳米层状有序结构中弹性波的传播特性研究

项目名称： 纳米层状有序结构中弹性波的传播特性研究

项目编号： No.11272043

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 陈阿丽

作者单位： 北京交通大学

项目金额： 85万元

中文摘要： 本项目的研究将主要集中于从理论和实验方面来考察弹性波在纳米层状有序结构中传播时若干基本的波动特性，将同时考虑单一模态的反平面波和耦合模态的平面波传播。主要内容包括：首先针对较简单的层状纳米周期结构，研究弹性波在其中传播时的波动传播特性、频带结构、局部化及声聚焦问题；在此基础上，研究由于制造误差或材料本身缺陷而形成的具有微小失谐的纳米层状结构和具有Fibonacci或Thue-Morse等排列的纳米层状有序结构，考察材料组合和结构几何拓扑对弹性波传播的影响。研究弹性波在上述纳米层状有序结构中的传播、局部化及声聚焦等问题；进一步讨论弹性波在具有缺陷的纳米层状有序结构和Lamb波在有序板中的传播问题；结合上述理论分析，开展有关纳米层状有序结构的试验研究探索波在其中传播的测量方法和技术。该项目的研究为这种新型的功能材料和结构走向工程应用提供理论基础。

中文关键词： 弹性波；纳米；层状有序结构；频带结构；准周期

英文摘要： This project will mainly focus both theoretically and experimentally on the investigation of the elastic waves propagation in the nano-layered ordered structures. The anti-plane and in-plane waves will be considered. The main contents include：study on the wave propagation characters, band structures, wave localization and the sound focusing phenomenon when the wave propagating in the nano-layered periodic systems; researches on the wave propagation in the nano-layerd disordered systems which caused by the errors of manufactures or material defaults and in the nano-layered ordered systems which have different substitution rules like the Fibonacci and Thue-Morse sequences. Considering the influence of material combinations and structural geometry（expecially the symmetries)on the wave propagation characters.Sstudy on some basic problems of wave propagation in the above nano-layered ofdered systems, including the localization and sound focusing phenomenon; some basic problems of wave propagation in the nano-layered systems which have defects and the Lamb wave propagation in the nano-layered ordered plate will be studied furtherly. This project will include experimental study on nano-layered periodic systems according to the above theoretical analyses,developing the measurement method and technique for the wave pro

英文关键词： elastic wave；nano；layered ordered structure；band structures；quasi periodicity