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首页> 外文期刊>European Journal of Mechanics. A, Solids >A numerical analysis of cracks emanating from an elliptical hole in a 2-D elasticity plate
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A numerical analysis of cracks emanating from an elliptical hole in a 2-D elasticity plate

机译：二维弹性板椭圆孔裂纹的数值分析

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摘要

This paper is concerned with the stress intensity factors (SIFs) of cracks emanating from an elliptical hole in an infinite or a finite plate under biaxial loads by using a boundary element method, which consists of the non-singular displacement discontinuity element presented by Crouch and Starfield and the crack-tip displacement discontinuity elements due to the author. In the boundary element implementation the left or the right crack-tip element is placed locally at the corresponding left or right crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries. A few numerical examples are included to show that the present approach is very efficient and accurate for the calculating the SIFs of crack problems in an infinite or a finite plate. The present numerical results of cracks emanating from an elliptical hole under biaxial loads can reveal the effect of the elliptical aspect ratio and the transverse load on the SIFs.
机译：本文利用边界元法研究了在无限长或有限板上双椭圆载荷下椭圆孔产生的裂纹的应力强度因子（SIFs），采用边界元方法，由克劳奇（Crouch）提出的非奇异位移不连续性单元。星场和裂纹尖端位移的不连续性元素归因于作者。在边界单元实现中，左或右裂纹尖端元素局部放置在覆盖整个裂纹表面和其他边界的恒定位移不连续性元素顶部的相应左或右裂纹尖端。包括一些数值示例，表明本方法对于计算无限或有限板中裂纹问题的SIF非常有效且准确。目前椭圆形孔在双轴载荷下产生的裂纹的数值结果可以揭示椭圆纵横比和横向载荷对SIF的影响。

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