SH波对一维六方准晶中快速传播裂纹的散射  

Scattering of SH Wave on a Fast Propagating Crack in One-dimensional Hexagonal Quasicrystal

作　　者：赵雪芬[1,2] 李星[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]宁夏大学新华学院,宁夏银川750021

出　　处：《数学的实践与认识》2015年第17期190-198,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11362018;11261041);高等学校博士学科点专项科研基金(20116401110002);宁夏大学新华学院院级科学研究基金(14XHXY02)

摘　　要：利用积分变换技术,结合Copson方法,研究了SH波对一维六方准晶中快速传播裂纹的散射问题.通过对偶积分方程求解,得到声子场和相位子场应力、位移的解析表达式,同时给出了裂纹尖端标准动应力强度因子的定义.数值算例表明随着裂纹传播速度、裂纹长度、入射角、入射波频率增大,裂纹尖端标准动应力强度因子也在增大.当裂纹长度的增大到一定值时,裂纹的传播速度对标准动应力强度因子影响逐渐减小.研究结果在工程材料应用中有一定的参考价值.Based on the integral transform technique and Copson methods, the problem of the scattering of SH wave on a fast propagating crack in one-dimensional hexagonal quasicrys- tal is discussed. By solving dual integral equations, the analytic expressions of stress and displacement in phonon field and phason field are obtained, and the definition of standard dynamic stress intensity factor at crack tip is proposed. Numerical examples show that the crack tip standard dynamic stress intensity factor increases with the increasing of the crack propagating speed, the crack length, the angle of incidence and the wave frequency. But as the crack length increases to a certain level, the influence of the crack propagation speed on standard dynamic stress intensity factor at crack tip is gradually decreased. The conclusions have certain reference value in the application of engineering materials.

关 键 词：SH波散射 一维六方准晶 快速传播裂纹 对偶积分方程 标准动应力强度因子 

分 类 号：O753.3[理学—晶体学]