摘要
目的研究无限长条状一维六方准晶材料的单周期的第一基本问题。方法复变函数方法以及Fourier级数法和待定系数法。结果得到了应力函数的封闭解,并且证明了其收敛性,最后取特殊情况进行验证,说明了结果的正确性。结论得到的封闭解可以为脆性准晶材料的制作提供理论依据。
Objective--To discuss the first fundamental problem for the single period of the infinite length strip of one-dimensional hexagonal quasicrystal materials. Methods-Complex function, the Fourier series and undetermined coefficients are mainly applied hereof. Results--The close-form solu- tion is derived and the convergence of solution is proved. In addition, the special case of this problem is finally used to validate the correctness of the result. Conclusion--This close-form solution can pro- vide the theoretical basis for the preparation of brittle quasicrystal materials.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2014年第4期9-14,共6页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
国家自然科学基金资助项目(No.11362018
41204041
11261045)
关键词
一维六方准晶
单周期第一基本问题
封闭解
one-dimensional hexagonal quasicrystal the first fundamental problem for the single period the close-form solution
