Exact solutions of the generalized Dugdale model of two-dimensional decagonal quasicrystals

被引：11
|
作者：
Li, Wu [1 ,2 ]
Fan, Tianyou [1 ]
机构：
[1] Beijing Inst Technol, Sch Sci, Dept Math, Beijing 100081, Peoples R China
[2] Xuchang Univ, Inst Appl Math, Xuchang 461000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Quasicrystal; Generalized Dugdale model; Stress intensity factor; PD-MN SINGLE; PLASTIC-DEFORMATION; DISLOCATION; MECHANISM; CRACK;
D O I：
10.1016/j.amc.2011.08.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The basic properties of the generalized Dugdale model of quasicrystals have significance in the theory of fracture mechanics of this solids. This study suggests a conformal mapping which transforms the complicated region in physical plane onto the exterior of the unit circle in the xi plane, then in terms of Cauchy integral theory, the complicated boundary value problem is solved, and the solutions are expressed in close form exactly. The crack tip opening displacement (CTOD), cohesive force zone and the most important physical quantity, stress intensity factor, are obtained with exact analytic form, which are useful in materials science and engineering. (c) 2011 Elsevier Inc. All rights reserved.
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页码：3068 / 3071
页数：4
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