一类含界面裂缝焊接问题的复变方法  

Complex Variable Method for a Class of Welding Problem with Interfacial Crack

作　　者：黄民海[1] 

机构地区：[1]肇庆学院数学系,广东肇庆526061

出　　处：《宁夏大学学报（自然科学版）》2006年第2期111-114,118,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(010446)

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.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.

关 键 词：界面裂缝 复变方法 奇异积分方程 应力强度因子 

分 类 号：O343.1[理学—固体力学]