含边界裂纹的弹性半平面孔洞焊接问题  

Hole's Welding Problem on the Elastic Half-Plane with a Crack on the Interface

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：《广西师范学院学报（自然科学版）》2006年第2期1-4,19,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(010446)

摘　　要：讨论了一类含边界裂纹的弹性半平面孔洞焊接问题,根据平面弹性复变方法,问题归结为一类解析函数的边值问题,通过有效的分析方法和积分变换,进一步将问题简化为一类奇异积方程,证明了方程解的存在唯一,并对方程解的简化进行了研究,得到了弹性材料体内应力分布的封闭形式解.In this paper, hole＇s welding problem on the elastic half - plane with a crack on the interface is studied. One proper mathematical model is developed and the problem is transferred to a boundary value problem for analytic functions and then further reduced to a singular integral equation, the existence and unique solvability of which is proved mathematically. The reduction of the solution is discussed and the stress distribution of elastic material body is given in closed forms.

关 键 词：界面裂缝 复变方法 奇积分方程 应力强度因子 

分 类 号：O346.1[理学—固体力学]