摘要
文章结合准晶弹性,首先推导出五次对称准晶平面问题的应力-应变关系,然后应用准晶的弹性动力学模型,推出其弹性动力学方程,接着用有限差分方法研究了裂纹扩展,声子的波传播、相位子的扩散效应及其相互影响.对于不同的裂纹扩展情况,这些影响是不同的.因为除了波的扩展、扩散和声子-相位子的耦合作用以外,由于运动边界造成的非线性的作用也是很明显的.
Accordin point group 5ram symmetic g to quasicrystal elasticity, we achieves the stres-strain relation of quasicrystal plane,and then use quasicrystal elasticity dynamic model to achieve the elasticity dynamic equation, next,it discusses crack propagation, phonon wave prop- agation, the effect of phase effect and the impact each another by finite difference. To crack propa- gation, which are initiate propagation and fast propagation, the impact is different because the non -linear of motion boundary is obvious,except the spread of the wave and phonon-phase cou- pling effect.
出处
《太原师范学院学报(自然科学版)》
2012年第2期99-102,共4页
Journal of Taiyuan Normal University:Natural Science Edition
基金
国家自然科学基金资助(10672022
10372016)
关键词
声子
相位子
有限差分法
动力学
phonon
phase
finite difference method
dynamic