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一类含界面裂缝焊接问题的复变方法
引用本文:黄民海.一类含界面裂缝焊接问题的复变方法[J].宁夏大学学报(自然科学版),2006,27(2):111-114,118.
作者姓名:黄民海
作者单位:肇庆学院,数学系,广东,肇庆,526061
摘    要:利用复变方法,讨论了一类含界面裂缝的焊接问题.借助解析函数边值问题和奇异积分方程的基本理论,得到了弹性材料体内应力分布的封闭形式解,并导出了裂缝尖端应力强度因子的解析表达式.

关 键 词:界面裂缝  复变方法  奇异积分方程  应力强度因子
文章编号:0253-2328(2006)02-0111-04
收稿时间:2006-02-20
修稿时间:2006-02-20

Complex Variable Method for a Class of Welding Problem with Interfacial Crack
Huang Minhai.Complex Variable Method for a Class of Welding Problem with Interfacial Crack[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):111-114,118.
Authors:Huang Minhai
Institution:Department of Mathematics, Zhaoqing College, Zhaoqing 526061,China
Abstract:In this paper, a class of welding problem with interracial crack is studied by the method of complex variable and the theory of boundary value problems of analytic functions. Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given by the theory of integral equation. The stress distribution of elastic body is obtained in a closed form. The general expressions of stress intensity factors are also derived.
Keywords:interfacial crack  complex variable method  singular integral equation  stress intensity factor
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