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首页> 外文期刊>Mathematical Problems in Engineering >Interaction between a Macrocrack and a Cluster of Microcracks by Muskhelishvili's Complex Potential Method
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Interaction between a Macrocrack and a Cluster of Microcracks by Muskhelishvili's Complex Potential Method

机译：用Muskhelishvili复数势方法研究宏观裂纹和微裂纹团簇之间的相互作用

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摘要

The interaction between a macrocrack and a cluster of microcracks has been investigated based on Muskhelishvili's complex potential method. A step-by-step subproblem procedure is used to satisfy the stress boundary conditions on each crack surface. The interactions between a cluster of microcracks and a macrocrack and the interaction among microcracks are analyzed. Three damage configurations as chained, reverse-chained, and randomly distributed microcracks have been designed to simulate the damage around the macrocrack tip. The solution of an infinite elastic plane containing a macrocrack and a cluster of microcracks is presented for the plane subjected to a uniform tensile load. The stress intensity factor (SIF) at the macrocrack tip and the microcrack tips is obtained. The results show that the inclination angle of the microcrack and the distance between the macrocrack and microcracks have a great influence on SIF. When the inclination angle is small, the SIF at microcrack tips may be larger than other inclination angles. These results are helpful to analyze the fracture or damage behaviors of materials.
机译：基于Muskhelishvili的复势法研究了宏观裂纹与微裂纹簇之间的相互作用。使用分步的子问题程序来满足每个裂纹表面上的应力边界条件。分析了微裂纹簇和大裂纹之间的相互作用以及微裂纹之间的相互作用。已设计了三种损坏配置，分别是链接的，反向链接的和随机分布的微裂纹，以模拟大裂纹尖端周围的损坏。对于承受均匀拉伸载荷的平面，给出了包含大裂纹和微裂纹簇的无限弹性平面的解。获得了大裂纹尖端和微裂纹尖端的应力强度因子（SIF）。结果表明，微裂纹的倾斜角度以及微裂纹与微裂纹之间的距离对SIF有很大的影响。当倾斜角较小时，微裂纹尖端处的SIF可能会大于其他倾斜角。这些结果有助于分析材料的断裂或破坏行为。

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