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承受拉伸和弯曲载荷的圆柱管中的横向圆形孔：应力集中系数的一种新的解析近似方法

Transverse Circular Holes in Cylindrical Tubes Loaded in Traction and in Flexion: A New Analytical Approximation of the Stress Concentration Factor.

作者信息

Rebora Alessandro U, Vernassa Gianluca

机构信息

Department of Mechanical Engineering, Polytechnic School, University of Genoa, 16145 Genoa, Italy.

Polytechnic School, University of Genoa, 16145 Genoa, Italy.

出版信息

Materials (Basel). 2020 Mar 14;13(6):1331. doi: 10.3390/ma13061331.

DOI:10.3390/ma13061331
PMID:32183401
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7143624/
Abstract

This paper presents an analytic formula for the theoretical stress concentration factor kt for cylindrical tubes with transverse circular holes, loaded in traction or in flexion. The study is based on modern finite element (FEM) techniques, which allow for appreciating with great accuracy the phenomenon of stress concentration. A comparison between the FEM results of this paper and those that were obtained by the existing analytic formulas shows the need of an update, as some discrepancies may be noticed. Our results are the fruit of a wide campaign of numerical FEM simulations that have been conducted analyzing numerous geometric configurations of the tube. Moreover, these configurations are defined in a wider two-dimensional (2-D) domain than the one valid for previous analytic formulas published in literature. Finally, these FEM results have been approximated with great accuracy by means of a fourth degree double polynomial regression that led to the new analytic formula that is proposed in this paper.

摘要

本文给出了承受拉伸或弯曲载荷的带有横向圆孔的圆柱管理论应力集中系数(k_t)的解析公式。该研究基于现代有限元（FEM）技术，这些技术能够非常精确地评估应力集中现象。本文的有限元结果与现有解析公式所得结果的比较表明，由于可能会发现一些差异，因此需要进行更新。我们的结果是通过广泛的有限元数值模拟活动得出的，这些模拟分析了管子的众多几何构型。此外，这些构型在比文献中先前发表的解析公式有效的二维（2-D）域更宽的范围内定义。最后，通过四次双多项式回归对这些有限元结果进行了非常精确的近似，从而得出了本文提出的新解析公式。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/74d8/7143624/065d0461fcf0/materials-13-01331-g016.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/74d8/7143624/2b83a3c0f065/materials-13-01331-g010.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/74d8/7143624/065d0461fcf0/materials-13-01331-g016.jpg

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