多裂纹圆柱弯曲问题的奇异积分

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Bending Integral Expressions of as Cylinder with Cracks

摘要: 本文在文[1]的基础上,利用文[2]给出的无裂纹柱体弯曲问题的通解,求得了多裂纹圆柱横力弯曲应力函数及横截面剪应力的奇异积分表达式。本文方法借助数值积分表达式^[3],极易在微机上实现,可以完全类似文[1]所做的那样进行数值计算。
- 裂纹 /
- 圆柱 /
- 弯曲 /
- 奇异积分
Abstract: In this paper,based on paper [1] and [2], bending integral expressions of the stress function and shear stresses of a cylinder with several cracks are obtained. Using the numerical method of the singular integral equations^[3],it is easy for us to do the numerical calculation of the stresses and stress intensity factors, which is similar to that of paper[1].
- crack /
- cylinder /
- benduig /
- singular integral

[1]	王晓春、汤任基,关于多裂纹圆柱体的扭转,应用数学和力学,9(8) (1988), 693-702.
[2]	Muskhelishvili, N. L, Some Basic Problems of the Mathematical Theory of Elasticity, the Second English Edition, Leyden, Noordhoff International Publishing, The Netherlands (1977).
[3]	Erdogan, F., Mixed boundary-value problems in mechanics, Mechanics Today,4 (1978).