Circular Welding Problems with a Crack

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Lu Jian-ke. Circular Welding Problems with a Crack[J]. Applied Mathematics and Mechanics, 1983, 4(5): 679-690.

Citation:

Lu Jian-ke. Circular Welding Problems with a Crack[J]. Applied Mathematics and Mechanics, 1983, 4(5): 679-690.

Citation:

Lu Jian-ke. Circular Welding Problems with a Crack[J]. Applied Mathematics and Mechanics, 1983, 4(5): 679-690.

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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