| 含边界裂纹的弹性半平面孔洞焊接问题 |
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| 引用本文： | 黄民海. 含边界裂纹的弹性半平面孔洞焊接问题[J]. 广西师范学院学报(自然科学版), 2006, 23(2): 1-4,19 |
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| 作者姓名： | 黄民海 |
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| 作者单位： | 肇庆学院,数学系,广东,肇庆,526061 |
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| 基金项目： | 广东省自然科学基金资助项目(010446) |
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| 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.
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| 关 键 词： | 界面裂缝 复变方法 奇积分方程 应力强度因子 |
| 文章编号： | 1002-8743（2006）02-0001-04 |
| 收稿时间： | 2006-01-15 |
| 修稿时间： | 2006-01-15 |
Hole's Welding Problem on the Elastic Half-Plane with a Crack on the Interface |
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| HUANG Min-hai. Hole's Welding Problem on the Elastic Half-Plane with a Crack on the Interface[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2006, 23(2): 1-4,19 |
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| Authors: | HUANG Min-hai |
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| Affiliation: | Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China |
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| Abstract: | 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. |
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| Keywords: | interfacial crack complex variable method singular integral equation stress intensity factor |
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