On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

Shixiang Zhao, Yulia Pronina

Research output

Abstract

The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The linear Dolinskii corrosion kinetics model is used. In the general case, structural instability of initial boundary value problems with unknown evolving boundaries can cause the divergence of numerical procedures when modelling the processes under study. It is observed that the attempts to circumvent the divergence of numerical procedure can suppress the manifestation of mechanochemical effect and yield inaccurate results. Thus, it is necessary to find a compromise between competing computational processes. Calculations revealed that the variation of the initial pipe wall thickness within the acceptable pipe wall tolerance can noticeably accelerate the growth of stresses and, consequently, reduce the durability of the pipe. The applicability of analytical solutions for a perfect circular pipe with a reduced thickness, equal to the minimum thickness of the imperfect pipe, to the case under study is also discussed.

Original languageEnglish
Article number01013
JournalE3S Web of Conferences
Volume121
DOIs
Publication statusPublished - 14 Oct 2019
Event1st International Conference on Corrosion in the Oil and Gas Industry, CR 2019 - Saint Petersburg
Duration: 22 May 201924 May 2019

Fingerprint

corrosion
pipe
Pipe
Corrosion
divergence
durability
Boundary value problems
Durability
tolerance
cross section
kinetics
Kinetics
modeling

Scopus subject areas

  • Environmental Science(all)
  • Energy(all)
  • Earth and Planetary Sciences(all)

Cite this

@article{64274788a84045f4892a24d488caad99,
title = "On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion",
abstract = "The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The linear Dolinskii corrosion kinetics model is used. In the general case, structural instability of initial boundary value problems with unknown evolving boundaries can cause the divergence of numerical procedures when modelling the processes under study. It is observed that the attempts to circumvent the divergence of numerical procedure can suppress the manifestation of mechanochemical effect and yield inaccurate results. Thus, it is necessary to find a compromise between competing computational processes. Calculations revealed that the variation of the initial pipe wall thickness within the acceptable pipe wall tolerance can noticeably accelerate the growth of stresses and, consequently, reduce the durability of the pipe. The applicability of analytical solutions for a perfect circular pipe with a reduced thickness, equal to the minimum thickness of the imperfect pipe, to the case under study is also discussed.",
keywords = "Gas industry, Initial value problems, Computational process, Corrosion kinetics, Initial-boundary value problems, Mechanochemical effects, Numerical procedures, Pipe wall thickness, Structural instabilit, Thick-walled pipes",
author = "Shixiang Zhao and Yulia Pronina",
year = "2019",
month = "10",
day = "14",
doi = "10.1051/e3sconf/201912101013",
language = "English",
volume = "121",
journal = "E3S Web of Conferences",
issn = "2555-0403",
publisher = "EDP Sciences",

}

TY - JOUR

T1 - On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

AU - Zhao, Shixiang

AU - Pronina, Yulia

PY - 2019/10/14

Y1 - 2019/10/14

N2 - The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The linear Dolinskii corrosion kinetics model is used. In the general case, structural instability of initial boundary value problems with unknown evolving boundaries can cause the divergence of numerical procedures when modelling the processes under study. It is observed that the attempts to circumvent the divergence of numerical procedure can suppress the manifestation of mechanochemical effect and yield inaccurate results. Thus, it is necessary to find a compromise between competing computational processes. Calculations revealed that the variation of the initial pipe wall thickness within the acceptable pipe wall tolerance can noticeably accelerate the growth of stresses and, consequently, reduce the durability of the pipe. The applicability of analytical solutions for a perfect circular pipe with a reduced thickness, equal to the minimum thickness of the imperfect pipe, to the case under study is also discussed.

AB - The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The linear Dolinskii corrosion kinetics model is used. In the general case, structural instability of initial boundary value problems with unknown evolving boundaries can cause the divergence of numerical procedures when modelling the processes under study. It is observed that the attempts to circumvent the divergence of numerical procedure can suppress the manifestation of mechanochemical effect and yield inaccurate results. Thus, it is necessary to find a compromise between competing computational processes. Calculations revealed that the variation of the initial pipe wall thickness within the acceptable pipe wall tolerance can noticeably accelerate the growth of stresses and, consequently, reduce the durability of the pipe. The applicability of analytical solutions for a perfect circular pipe with a reduced thickness, equal to the minimum thickness of the imperfect pipe, to the case under study is also discussed.

KW - Gas industry

KW - Initial value problems

KW - Computational process

KW - Corrosion kinetics

KW - Initial-boundary value problems

KW - Mechanochemical effects

KW - Numerical procedures

KW - Pipe wall thickness

KW - Structural instabilit

KW - Thick-walled pipes

UR - http://www.scopus.com/inward/record.url?scp=85073804711&partnerID=8YFLogxK

U2 - 10.1051/e3sconf/201912101013

DO - 10.1051/e3sconf/201912101013

M3 - Conference article

AN - SCOPUS:85073804711

VL - 121

JO - E3S Web of Conferences

JF - E3S Web of Conferences

SN - 2555-0403

M1 - 01013

ER -