Stability of thin-walled high-pressure cylindrical pipes with non-circular cross-section and variable wall thickness subjected to non-homogeneous corrosion

Gutman, É. M.; Haddad, J.; Bergman, R.

doi:10.1016/j.tws.2004.08.002

Cited by 13 publications

(7 citation statements)

References 2 publications

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“…In [23], such a stress distribution equation is proposed with a constant average diameter. In the works of [32,[34][35][36], the average diameter is replaced by the mid-surface radius, r c , but it is still constant. In [31], based on Lamé formulas, new assumptions were introduced, but they performed poorly in mathematical operations (e.g., Taylor expansion) with an intermediate variable, η, less than or close to 1.0.…”

Section: Theories On Corrosion Lifetime (Including Failure Criteria) ...mentioning

confidence: 99%

“…In [31], based on Lamé formulas, new assumptions were introduced, but they performed poorly in mathematical operations (e.g., Taylor expansion) with an intermediate variable, η, less than or close to 1.0. In [35], the mid-plane radius, r c , was introduced into the first-order Lamé stress distribution equation. From the conclusions, an analytical solution was obtained that was as simple as the ones based on Laplace laws, but with better accuracy.…”

Section: Theories On Corrosion Lifetime (Including Failure Criteria) ...mentioning

confidence: 99%

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Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels

Liu,

Lacidogna

2023

Metals

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In this paper, we present an overview of all analytical engineering solutions delivered over the past 60 years for corrosion problems in pressure vessels. We briefly detail the strengths and weaknesses of existing approaches, thus demonstrating the need for novel uniform corrosion analysis methods for both current and new applications. To complement the review, we also present a new analytical model allowing the estimation of the lifetime of pressured elastic vessels with mechanically assisted corrosion. Both internal/external pressure and internal/external corrosion are captured, and dissolution-driven corrosion is also considered. The readily implemented method improves existing analytical approaches and is shown to be effective for thin and thick shells, as well as various loading and corrosion intensity and geometrical conditions.

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Section: Theories On Corrosion Lifetime (Including Failure Criteria) ...mentioning

confidence: 99%

Section: Theories On Corrosion Lifetime (Including Failure Criteria) ...mentioning

confidence: 99%

Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels

Liu,

Lacidogna

2023

Metals

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“…More complex problems for pipeline elements when the equivalent stresses on their inner and outer surfaces are different have been studied in [14,15,16,17]. Problems taking into account nonlinear effects and/or concerning non-uniform wear are usually solved by combined numerical and analytical methods [4,7,10,18,19,20,21,22,23]. In particular, paper [19] addresses the problem of a thin-walled cylindrical pipe with non-circular cross-section and variable wall thickness under external pressure; while paper [22] deals with a pipe with variable wall thickness under its own weight.…”

Section: Introductionmentioning

confidence: 99%

“…Problems taking into account nonlinear effects and/or concerning non-uniform wear are usually solved by combined numerical and analytical methods [4,7,10,18,19,20,21,22,23]. In particular, paper [19] addresses the problem of a thin-walled cylindrical pipe with non-circular cross-section and variable wall thickness under external pressure; while paper [22] deals with a pipe with variable wall thickness under its own weight. All the mentioned solutions are based on certain hypotheses which significantly simplify the calculation process.…”

Section: Introductionmentioning

confidence: 99%

“…The problem is solved without an assumption that the shape of the inner perimeter during the corrosion process remains elliptical (as it was assumed in [25,26]). The hypotheses of thin shells theory [19,27] are not applicable in this case as well. Stress state of the corroding pipe at every time-step is determined by finite element method (FEM), after that the new shape of the inner surface is specified.…”

Section: Introductionmentioning

confidence: 99%

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

Zhao

Pronina

2019

E3S Web Conf.

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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.

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On Minimization of Metal Costs for a Pipeline Exposed to External Corrosion Under Pressure

Pronina

Kabrits

2022

Lecture Notes in Control and Information Sciences - Proceedings

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Stability of thin-walled high-pressure cylindrical pipes with non-circular cross-section and variable wall thickness subjected to non-homogeneous corrosion

Cited by 13 publications

References 2 publications

Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels

Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels

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

On Minimization of Metal Costs for a Pipeline Exposed to External Corrosion Under Pressure

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