准晶材料相位子弹性与相位子动力学研究

项目名称： 准晶材料相位子弹性与相位子动力学研究

项目编号： No.11462020

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 李联和

作者单位： 内蒙古师范大学

项目金额： 48万元

中文摘要： 准晶材料优良的物理和力学性能使其具有广阔的应用前景。目前，研究者对准晶相位子弹性和动力学机理仍存在争论，不利于准晶材料的力学性能分析和功能化设计。本项目主要围绕以下两个方面开展研究：①采用新的准晶弹性理论模型研究准晶材料的变形与缺陷问题，同时开展理论模型验证实验研究，将理论计算结果和实验结果进行对比，揭示相位子对准晶材料变形与断裂（静态）行为的影响。②基于变分原理，建立新理论模型，描述相位子对准晶弹性动力学行为的影响，使其适用于所有的波长，从而统一现有两种模型（波动模型和弹性流体动力学模型）。在此基础上，利用新模型研究准晶缺陷动力学，并与已有实验和分子动力学模拟结果比较，给出常用断裂判据，为准晶材料应用奠定理论基础。本项目的研究对于揭示相位子对准晶材料物理和力学行为的影响有重要意义。

中文关键词： 准晶；相位子；弹性；动力学；缺陷

英文摘要： Quasicrystals has the widespread application value and prospect because of its excellent mechanical properties and physical properties. At present,disputes on the mechanism of the phason elasticity and phason dynamics in quasicrystals still exist in the academy, which is unfavorable to mechanical property analysis and design instruction. This study includes two aspects of research:① Based on the new elastic theoretical model of quasicrydtals, the deformation and defects problems will be considered. The influence of the phason on the deformation and defects of the quasicrystals will be disclosed by comparing the theoretical and corresponding experimental results.② From the elasticity variational principle, the governing elastodynamic equation differential equations of the quasicrystal will be considered to unify the existing two model. The new model will apply to all circumstances. On these bases, the defect dynamic of quasicrystal will be discussed by adopting the new model.The comparison between the experimental and the theoretical results will be carry out,which are useful for the applications of the quasicrystals. This study will become an important and effective way to disclose the effects of the phason on the physical and mechanical behavior of quasicrystals.

英文关键词： quasicrystal;phason;elasticity;dynamic;defects