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On the Interaction between an Arbitrarily Shaped Hole and a Line Crack

机译:任意形状的孔与线裂纹的相互作用

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The interaction effect between a line crack and an arbitrarily shaped hole under the stress boundary condition in an infinite medium subjected to remote uniform loads is studied in this paper. The principle of superposition is used to split the original problem to two subsidiary problems. Uniform stresses are applied to the infinite plane containing a single hole in the first problem. In the second problem, a distribution of dislocations is assumed along the crack site in the infinite plane with the arbitrary hole. The complex variable method in conjunction with the rational mapping function technique is used in solving both the Green's function of point dislocation and the first subproblem. The stress functions are obtained in closed form by using analytical continuation. The solution of the interaction problem is then obtained from a system of singular integral equations to satisfy the boundary condition of the crack. The integral equations are solved by Gauss-Chebyshev method. Stress intensity factors of crack tips are determined.
机译:本文研究了无限长介质中应力边界条件下线裂纹与任意形状孔洞的相互作用效应。叠加原理用于将原始问题分解为两个子问题。在第一个问题中,将均匀应力施加到包含单个孔的无限平面上。在第二个问题中,假定在具有任意孔的无限平面中沿着裂纹部位的位错分布。结合有理映射函数技术的复变量方法可用于求解点错位的格林函数和第一个子问题。应力函数通过使用解析连续性以闭合形式获得。然后从奇异积分方程组中获得相互作用问题的解,以满足裂纹的边界条件。积分方程用高斯-切比雪夫方法求解。确定裂纹尖端的应力强度因子。

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