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Schematically shown geometry of the ring R/B=20\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R/B = 20$$\end{document}, way of loading as the three-point bending and the span distance between supports for FEA. (The scale of the sketch and the dimension does not correspond to the actual ring size)

Schematically shown geometry of the ring R/B=20\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R/B = 20$$\end{document}, way of loading as the three-point bending and the span distance between supports for FEA. (The scale of the sketch and the dimension does not correspond to the actual ring size)

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For safe transport and reliable supply of petrochemical substances, it is crucial to ensure the structural integrity of the equipment, pipelines in particular. Regarding the large diameters and high mass per distance, pipelines for natural gas are designed as thin-walled cylindrical structures. To ensure the structural integrity of the unknown mate...

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Citations

... Several authors [1][2][3][4] have been studied the fracture problems of mechanical components by means of experimentation and numerical simulation in order to asses the mechanical integrity, taking into account different crack shapes in various application. Some examples of materials that can be analyzed by the fracture mechanics are: all high-strength materials from the aerospace industry [5], high-strength and low-alloy steels, cold-deformed stainless steels and in piping systems of oil [6]. In the same context, a thorough examination of this subject can be found in Refs. ...
... To determine the Normalized stresses intensity factor, hollow cylinders with axial external crack is considered by Stefan-Dan [6] and CP. Andrasic [7]. ...
... Geometrical model[6]. ...
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In this work, finite element method was used to determine the normalized stress intensity factors for different configurations. For this, a 2-D numerical analysis with elastic behavior was undertaken in pure I mode. This simulation was carried out using a numerical calculation code. On the basis of the numerical results obtained from the different models treated, there is a good correlation between the nodal displacement extrapolation method (DEM) and the energy method based on the Rice integral (J) to evaluate the normalized stress intensity factors and this for different crack lengths. For each configuration, the increase in the crack size causes an amplification of normalized intensity stresses fators.