Fundamental solutions for penny-shaped and half-plane cracks in one-dimensional hexagonal quasicrystals: Shear mode

被引：5
|
作者：
Zheng, Ruifeng [1 ,2 ]
Deng, Zichen [1 ,2 ]
机构：
[1] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China
[2] Northwestern Polytech Univ, Minist Ind & Informat Technol, Key Lab Dynam & Control Complex Syst, Xian 710072, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2022年 / 108卷
基金：
中国国家自然科学基金;
关键词：
One-dimensional hexagonal quasicrystals; Penny-shaped crack; Half-plane crack; Shear mode; Fundamental solutions; THERMOELASTIC FIELD; SPACE; FRACTURE;
D O I：
10.1016/j.apm.2022.03.030
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The present article is to investigate the penny-shaped and half-plane crack problems in an infinite space of one-dimensional hexagonal quasicrystals. The cracks are subjected to a pair of anti-symmetrical point shear loads exerted on the crack surfaces. By means of the potential theory method, the governing integral equation is developed and the complete fundamental solutions of the phonon and phason fields are obtained. Moreover, the important quantities on the crack plane, including the crack slip displacement and the stress intensity factor, are derived in terms of elementary functions. The fundamental solutions presented in the article are important to boundary element analysis and may serve as benchmarks for numerical research. (C) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：275 / 293
页数：19
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