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首页> 外文期刊>Engineering Fracture Mechanics >A new singular boundary element for crack problems application to bolted joints
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A new singular boundary element for crack problems application to bolted joints

机译：一种新的奇异边界元，用于螺栓连接中的裂纹问题

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摘要

The present paper is concerned with the effective numerical implementation of the two-dimensional Dual Boundary Element Method to analyse the mixed-mode crack growth in bolted joints. All the boundaries are discretized with discontinuous quadratic boundary elements and the crack-tip is modeled by singular elements that exactly represent the strain field singularity l/(square root of r). The Stress Identity Factors can be computed very accurately from the crack opening displacement at collocationpoints extremely close to the crack tip. Furthermore, the analysis of two-dimensional elastic contact problems is developed, with an iterative procedure. The contact equations are written explicitly with both transactions and displacements retained asunknowns. The computed results show that the proposed approach for Stress Intensity Factors evaluation is simple, produces very accurate solutions and has little dependence on the size of the elements near the crack tip. The algorithm is applied toseveral two-dimensional examples and the results obtained are in very good agreement with analytical solutions and experimental results carried out at the AEROSPATIALE Research Centre.
机译：本文关注二维双重边界元法分析螺栓连接混合模式裂纹扩展的有效数值实现。用不连续的二次边界元素离散所有边界，并用精确表示应变场奇点l /（r的平方根）的奇异元素对裂纹尖端进行建模。应力识别因子可以从裂纹尖端非常靠近的并置点处的裂纹开口位移非常精确地计算出来。此外，利用迭代程序开发了二维弹性接触问题的分析。明确写出了接触方程式，并保留了未知的交易和位移。计算结果表明，所提出的应力强度因子评估方法简单，产生非常精确的解决方案，并且几乎不依赖裂纹尖端附近元素的大小。该算法已应用于多个二维示例，并且获得的结果与AEROSPATIALE研究中心进行的分析解决方案和实验结果非常吻合。

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