Modeling of stress-strain state of piping systems with erosion and corrosion wear

The problems of modeling the stress-deformed state of erosion or corrosion-worn rectilinear sections and the ball-shaped bends of pipeline systems are proposed to solve in a cylindrical coordinate system. For this purpose, formulas of Christophell type II, non-zero components of the strain tensor an...

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Main Authors: Ya. V. Doroshenko, A. P. Oliinyk, O. M. Karpash
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-03-01
Series:Фізика і хімія твердого тіла
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/pcss/article/view/2969
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author Ya. V. Doroshenko
A. P. Oliinyk
O. M. Karpash
author_facet Ya. V. Doroshenko
A. P. Oliinyk
O. M. Karpash
author_sort Ya. V. Doroshenko
collection DOAJ
description The problems of modeling the stress-deformed state of erosion or corrosion-worn rectilinear sections and the ball-shaped bends of pipeline systems are proposed to solve in a cylindrical coordinate system. For this purpose, formulas of Christophell type II, non-zero components of the strain tensor and a system of equilibrium equations in the framework of linear torsional theory are given. The system of equilibrium equations is reduced to one equation, which is the basic equation of the Lame’s problem. Formulas for the calculation of ring stresses that occur in the wall of erosion or corrosion worn rectilinear sections, and the removal of pipelines from the action of internal pressure are derived. The influence of the change in the wall thickness of the pipeline bends in the place of their erosion or corrosion wear on the amount of ring stresses is determined.
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spelling doaj.art-3b96273b71bf4d60a377a6c73958822b2022-12-21T23:51:36ZengVasyl Stefanyk Precarpathian National UniversityФізика і хімія твердого тіла1729-44282309-85892020-03-0121115115610.15330/pcss.21.1.151-1562969Modeling of stress-strain state of piping systems with erosion and corrosion wearYa. V. Doroshenko0A. P. Oliinyk1O. M. Karpash2Ivano-Frankivsk National Technical University of Oil and GasIvano-Frankivsk National Technical University of Oil and GasIvano-Frankivsk National Technical University of Oil and GasThe problems of modeling the stress-deformed state of erosion or corrosion-worn rectilinear sections and the ball-shaped bends of pipeline systems are proposed to solve in a cylindrical coordinate system. For this purpose, formulas of Christophell type II, non-zero components of the strain tensor and a system of equilibrium equations in the framework of linear torsional theory are given. The system of equilibrium equations is reduced to one equation, which is the basic equation of the Lame’s problem. Formulas for the calculation of ring stresses that occur in the wall of erosion or corrosion worn rectilinear sections, and the removal of pipelines from the action of internal pressure are derived. The influence of the change in the wall thickness of the pipeline bends in the place of their erosion or corrosion wear on the amount of ring stresses is determined.https://journals.pnu.edu.ua/index.php/pcss/article/view/2969ring stresseserosioncorrosionbendinternal pressurecylindrical coordinate system
spellingShingle Ya. V. Doroshenko
A. P. Oliinyk
O. M. Karpash
Modeling of stress-strain state of piping systems with erosion and corrosion wear
Фізика і хімія твердого тіла
ring stresses
erosion
corrosion
bend
internal pressure
cylindrical coordinate system
title Modeling of stress-strain state of piping systems with erosion and corrosion wear
title_full Modeling of stress-strain state of piping systems with erosion and corrosion wear
title_fullStr Modeling of stress-strain state of piping systems with erosion and corrosion wear
title_full_unstemmed Modeling of stress-strain state of piping systems with erosion and corrosion wear
title_short Modeling of stress-strain state of piping systems with erosion and corrosion wear
title_sort modeling of stress strain state of piping systems with erosion and corrosion wear
topic ring stresses
erosion
corrosion
bend
internal pressure
cylindrical coordinate system
url https://journals.pnu.edu.ua/index.php/pcss/article/view/2969
work_keys_str_mv AT yavdoroshenko modelingofstressstrainstateofpipingsystemswitherosionandcorrosionwear
AT apoliinyk modelingofstressstrainstateofpipingsystemswitherosionandcorrosionwear
AT omkarpash modelingofstressstrainstateofpipingsystemswitherosionandcorrosionwear