Plastic Limit Pressure and Stress Intensity Factor for Cracked Elbow Containing Axial Semi-Elliptical Part-Through Crack

Q1 Mathematics Applied Sciences Pub Date : 2024-09-18 DOI:10.3390/app14188390
Božo Damjanović, Pejo Konjatić, Marko Katinić
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Abstract

The aim of this study is to provide a solution for the plastic limit pressure and stress intensity factor of the elbows containing a part-through axial semi-elliptical crack by considering various crack sizes. The supporting system and loading conditions of the pipeline are described. The critical part of the observed pipeline was isolated for analysis and subjected to various sizes of semi-elliptical cracks. By performing numerical analysis, results were obtained for crack dimension ratios of c/a, and depth/thickness ratios of a/t. The obtained results include plastic limit pressure and stress intensity factor. The results were analyzed with a symbolic regression algorithm, and closed-form solutions for the limit pressure and stress intensity factor were proposed. To validate pipeline integrity, the Structural Integrity Assessment Procedure (SINTAP) was applied, and the FAD (Failure Assessment Diagram) was generated for cracks below the FAD function. The failure pressure was calculated by determining the points where the loading paths intersect the FAD function.
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含轴向半椭圆形部分贯穿裂纹的裂纹弯头的塑性极限压力和应力集中系数
本研究的目的是通过考虑不同的裂缝尺寸,为包含部分贯通轴向半椭圆形裂缝的弯头的塑性极限压力和应力强度因子提供一个解决方案。文中描述了管道的支撑系统和加载条件。对观察到的管道的关键部分进行了隔离分析,并对各种尺寸的半椭圆形裂缝进行了分析。通过进行数值分析,得出了裂缝尺寸比 c/a 和深度/厚度比 a/t 的结果。所得结果包括塑性极限压力和应力强度因子。利用符号回归算法对结果进行了分析,并提出了极限压力和应力强度因子的闭式解。为了验证管道的完整性,应用了结构完整性评估程序(SINTAP),并为低于 FAD 功能的裂缝生成了 FAD(失效评估图)。通过确定加载路径与 FAD 函数的交点,计算出失效压力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Applied Sciences
Applied Sciences Mathematics-Applied Mathematics
CiteScore
6.40
自引率
0.00%
发文量
0
审稿时长
11 weeks
期刊介绍: APPS is an international journal. APPS covers a wide spectrum of pure and applied mathematics in science and technology, promoting especially papers presented at Carpato-Balkan meetings. The Editorial Board of APPS takes a very active role in selecting and refereeing papers, ensuring the best quality of contemporary mathematics and its applications. APPS is abstracted in Zentralblatt für Mathematik. The APPS journal uses Double blind peer review.
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