The stress field induced by an edge dislocation or a point force located near a coated triangle-like hole in an infinite plate is provided in this paper. Based on the method of analytical continuation and the technique of conformal mapping in conjunction with the alternation technique, a series solution for the displacement and stresses in the coating layer and the matrix is obtained analytically. Examples for the interaction between an edge dislocation and a coated triangle-like hole for various material constant combinations, coating thicknesses and shape factors are discussed. The analysis discovers that the so-called trapping mechanism of dislocations is more likely to exist near a coated triangle-like hole. The result shows that the dislocation will first be repelled by the coating layer and then attracted by a hole when the coating layer is slightly stiffer than the matrix. However, when the coating layer is sufficiently thin, the dislocation will always be attracted by a hole even the coating layer is stiffer than the matrix.

中文翻译：

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平面弹性中涂层类三角形孔问题的应力场

本文提供了由边缘位错或位于无限板中三角形涂层孔附近的点力引起的应力场。基于解析延拓法和共形映射技术，结合交替技术，解析得到涂层和基体位移和应力的级数解。讨论了各种材料常数组合、涂层厚度和形状因素下边缘位错和涂层三角形孔之间相互作用的示例。分析发现，所谓的位错捕获机制更可能存在于带涂层的三角形孔附近。结果表明，当涂层比基体稍硬时，位错将首先被涂层排斥，然后被孔吸引。然而，当涂层足够薄时，即使涂层比基体更硬，位错也会被孔吸引。