垂直于一维六方准晶双材料界面裂纹的反平面问题
Anti-plane Problem of a Crack Perpendicular to Interface of One-dimensional Hexagonal Quasicrystal Bi-material
张炳彩 1张来萍1
作者信息
- 1. 宁夏大学 新华学院,宁夏 银川 750021
- 折叠
摘要
利用 Fourier变换方法和切比雪夫多项式展开法,研究垂直于一维六方准晶双材料界面裂纹的反平面问题.给出合理的边界条件,将垂直裂纹问题转化为奇异积分方程组的求解,再引入位错密度函数,由切比雪夫多项式法求得问题的数值解.
Abstract
The anti-plane problem of a crack perpendicular to the interface of one-dimensional hexagonal quasicrys-tal bi-material is discussed by using Fourier transform and Chebyshev polynomials expansion method.Given the reasonable boundary conditions,the problem of perpendicular crack is transformed into a system of singular integral equations,and the dislocation density function is introduced to obtain the numerical solution of the problem by the Chebyshev polynomials method.
关键词
准晶/双材料/Fourier变换方法/裂纹/积分方程Key words
quasicrystal/bi-material/Fourier transform method/crack/integral equation引用本文复制引用
基金项目
宁夏大学新华学院科学研究基金项目(22XHKY06)
出版年
2024
NETL
NSTL
万方数据