有一条裂纹的圆形焊接问题

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Circular Welding Problems with a Crack

摘要: 本文讨论了在带圆孔的无限平面中焊接一个不同材料的带裂纹的近似圆板的问题.该问题化为求解解析函数边值问题然后又转化为求解沿裂纹的奇异积分方程.后者的数字解法也已给出.文末并对Ⅰ型、Ⅱ型情况得出了应力强度因子的公式以及数字结果.

Abstract: In this paper,the problem of an infinite plane with a circular hole welded by a nearly circular plate with a crack of different material is considered. The problem is transformed to solve certain boundary value problem of analytic functions and then reduced to solve a singular integral equation along the crack. The formulas and some numerical results of the factors of stress intensity for the cases Mode Ⅰ and Mode Ⅱ are obtained at the end of the paper.

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