Complex potential theory for the plane elasticity problem of decagonal quasicrystals and its application

被引：9

作者：

Li, Lian He ^{[1
,2
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Inner Mongolia Univ, Coll Phys Sci & Technol, Key Lab Nanomagnet & Funct Mat, Hohhot 010021, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 19期

基金：

中国国家自然科学基金;

关键词：

Decagonal quasicrystals; Complex potential theory; Elliptic notch; Cauchy integral formula; Exact solutions; SYMMETRY; POINT; NOTCH;

D O I：

10.1016/j.amc.2013.03.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The complex potential theory of two-dimensional decagonal quasicrystals is constructed and the complex variable method of Muskhelishvili is developed. Based on the complex representation of stresses and displacements, the arbitrariness and restrictions on the complex potentials are discussed. As an illustration of the complex potential theory, a decagonal quasicrystals plate with an elliptic notch under the action of stretch is considered. Some special cases of the results are also observed, which are helpful to check the correctness of the complex potential theory. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：10105 / 10111

页数：7

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