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Mathematical Simulation for Forecasting an Uneven Distribution of the Stressed-Strain State of Metal When Expanding Large-Diameter Pipes

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Proceedings of the 6th International Conference on Industrial Engineering (ICIE 2020) (ICIE 2021)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

It is known that the pipe shell expanding process features a highly uneven distribution of tangential strains along its contour. The level of this strain in the entire volume of the pipe determines the ability to achieve a stable geometry of critical products, whereas the processes occurring in the end sections of the pipe determine the quality of butt welding in the main pipe, and the entire system reliability. By joint solution of a system of differential equilibrium and plasticity conditions equations, in relation to the plain strain pattern, we obtained equations reflecting the nature of the stress–strain state (SSS) distribution along the contour of the deformable body. These equations take into account the presence of contact friction between the deformable body and rigid segments, as well as expanding of gaps with radial movement of segments. We suggested a quantitative criterion for uneven distribution of SSS parameters during the expanding process. The paper demonstrates the possibility of using dimensionless criteria or relative indicators of uneven SSS distribution along the pipe contour. For this purpose, we adopted stress and strain values in the area opposite to the segment symmetry axis as the basic values. The paper presents the results of finite-element simulation of the process of expanding pipes with a diameter of ϕ1420 mm, obtained in the QForm VX8 software package. This data correlates well with the results of mathematical simulation of this process and its physical model. The established adequacy of the obtained equations gives reason to use them for predicting the distribution of SSS parameters when implementing the manufacture of a new product or when choosing a new calibration mode. As an example, we demonstrated the relationship of the maximum unevenness deformation indicators for a specific pipe during its calibration with the number of the expander head segments and various friction conditions.

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Authors and Affiliations

  1. National University of Science and Technology (MISIS), 4, Lenisky Prospect, Moscow, 119049, Russia

    D. C. Nguyen & D. B. Yefremov

Authors
  1. D. C. Nguyen
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  2. D. B. Yefremov
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Correspondence to D. C. Nguyen .

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Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Andrey A. Radionov

  2. Mechatronics and Automation Department, South Ural State University, Chelyabinsk, Russia

    Vadim R. Gasiyarov

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Nguyen, D.C., Yefremov, D.B. (2021). Mathematical Simulation for Forecasting an Uneven Distribution of the Stressed-Strain State of Metal When Expanding Large-Diameter Pipes. In: Radionov, A.A., Gasiyarov, V.R. (eds) Proceedings of the 6th International Conference on Industrial Engineering (ICIE 2020). ICIE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-54814-8_111

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  • DOI: https://doi.org/10.1007/978-3-030-54814-8_111

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