内边界裂纹复合圆柱的Saint-Venant扭转<sup>*</sup>

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内边界裂纹复合圆柱的Saint-Venant扭转^*

基金项目: * 国家教委博士点基金资助课题

摘要: 本文使用мусхелишвили单层势函数和柱体扭转单裂纹解,将复合材料裂纹柱体扭转的内边界裂纹问题归结为解一组广义柯西核的混合型的积分方程,然后使用奇异积分方程的Gauss-Jacobi求积公式,建立了数值法,并计算了若干数值例子,得到了复合材料裂纹柱体扭转的抗扭刚度及应力强度因子.与已有的文献相比符合得很好.
- 复合圆柱 /
- 内边界裂纹 /
- 柯西型积分方程
Abstract: In this paper the writer uses Muskhelishvili single-layer potential function solution and single crack solution for the torsion problem of a circular cylinder to discuss the torsion problem of a composite cylinder with an internal crack, and the problem is reduced to a set of mixed-type integral equation with generalized Cauchy-kernel. Then, by using the integration formula of Gauss-Jacobi, the numerical method is established and several numerical examples are calculated. The torsional rigidity and the stress intensity factors are obtained. The results of these examples fit the results obtained by the previous papers better.
- composite circular cylinder /
- internal crack /
- Cauchy-type integral equation

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