An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure

Yan, Sun-ting; Tang, Ping; Ling, Zhangwei; Chen, Yong-Gui

doi:10.1631/jzus.a2100487

Cited by 3 publications

(32 citation statements)

References 25 publications

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“…From derivations in Appendix A, the general governing differential equation (see also Timoshenko and Gere, 21 Fatt, 22 Yan et al 23,32,35 ) is…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

“…The locally uniformly corroded model has been used to represent corrosion defects in literature. 22–24,31–35 Considering a ring (parametrized by angular coordinate s ) with both internal corrosion and external corrosion co-existing as in Figure 1, the corrosion is characterized by a corroded region of reduced thickness t 1 ( s ∈ [ − s 1 , s 1 ] ) and an intact uncorroded region s ∈ [ s 1 , 2 π − s 1 ] . R 1 , R 2 are radii of middle-axes of corroded region and intact region respectively, s 1 denotes the half of the corrosion region’s angular extent.…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

“…By specifying various a , b values, the ovality inclination angle varies. 13 The corroded region has thickness t 1 = t 2 ( 1 − d ) ( t 0 is the uncorroded thickness and d is the corrosion severity parameter, t 2 = t 0 in this case) and the depths of internal and external corrosion may differ (termed “corrosion asymmetry” 33–35 ). This introduces misalignment parameter e defined by R 1 = e ( t 2 − t 1 ) / 2 + R 2 .…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

“…If imperfection term of equation (5) is dropped, the corresponding equation has been presented in our previous study. 35 Periodicity condition is modified into w 1 ( − s 1 ) = w 2 ( 2 π − s 1 ) and w 1 ′ ( − s 1 ) = w 2 ′ ( 2 π − s 1 ) allowing displacement neither symmetric nor anti-symmetric. At s = s 1 , the continuity condition leads to w 1 ( s 1 ) = w 2 ( s 1 ) and w 1 ′ ( s 1 ) = w 2 ′…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

“…Equation (6) implicitly assumes the continuity of circumferential displacements at thickness jumping points s 1 and − s 1 (i.e. v 1 ( s 1 ) = v 2 ( s 1 ) and v 1 ( − s 1 ) = v 2 ( 2 π − s 1 ) ) and this assumption is indeed not compatible with the Euler-Bernoulli beam theory (see discussion by Yan et al 35 ). A full discussion of membrane extensibility and the “no-abrupt jump” assumption (i.e.…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

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Collapse of corroded pipes under external pressure considering corrosion asymmetry, non-uniformity, and initial ovality

Yan

Tang

Chen

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents an analytical investigation of elastic collapse of corroded pipes considering the corrosion asymmetry, non-uniformity and initial ovality and one novelty is that corrosion asymmetry effect is considered by introducing a misalignment parameter accounting for co-existing internal corrosion and external corrosion. Governing differential equations are derived including the effect of corrosion asymmetry, initial ovality and membrane extensibility. By perturbative techniques, the interaction between corrosion asymmetry and initial ovality is extensively discussed by explicitly calculating the critical initial ovality governing the mode shape changes during initial deformation and collapse deformation phase. One novelty is the introduction of mode shape [Formula: see text] and mode shape 8 characterized by the sign of sum of displacements of two points independent of rigid-body motion. The theoretical solution is agreeing well with the FEA results. Furthermore, for general non-uniform corrosion, unconditionally convergent power series solutions are formulated by Lyapunov artificial small parameter method. By using Holder’s inequality, an explicit estimation method of the needed truncation number is presented for good computation accuracy by a minimization process over Holder’s exponent thus enabling early truncation of the series properly in advance. An improved estimation method is proposed by coupling with Rayleigh quotient techniques and the domain interval partition approach is introduced to accelerate convergence by thoroughly discussing the special uniformly corroded case by mathematical arguments. As a novelty, this paper illustrates why this improvement might be not evident when corrosion is rather narrow theoretically. Finally by using Chebyshev polynomials and the mathematical algebraic ring structure (generated by polynomial and trigonometric functions) closed under addition, multiplication and integration operations, some calculations for rings with corrosion profile in a non-polynomial mode are presented. This paper is intending to enhance the understanding of the effect of corrosion defect on collapse of pipes under external pressure in offshore industry.

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“…From derivations in Appendix A, the general governing differential equation (see also Timoshenko and Gere, 21 Fatt, 22 Yan et al 23,32,35 ) is…”

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

See 3 more Smart Citations

Collapse of corroded pipes under external pressure considering corrosion asymmetry, non-uniformity, and initial ovality

Yan

Tang

Chen

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

show abstract

Corrosion behavior and protection mechanism of carbon steel coated with ethylene chlorotrifluoroethylene (ECTFE)

Shen,

Wen,

Dong

et al. 2024

J. Zhejiang Univ. Sci. A

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Development of Subsea Pipeline Buckling, Corrosion and Leakage Monitoring

Liu

Wang

2023

JMSE

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Oil and gas exploration is a sector which drives the global economy and currently contributes significantly to global economic development. The safety of subsea pipelines is deeply affected by factors such as pipeline buckling, corrosion and leakage. Once a subsea pipeline is seriously leaking or damaged, it will cause a lot of waste of resources at light level, and it will cause explosions in severe cases, resulting in heavy casualties and huge economic losses, and at the same time, seriously damaging the surrounding ecological environment. Therefore, it is necessary to pay attention to problems related to the buckling, corrosion and leakage of submarine pipelines. This paper consists of a literature review of the latest research about buckling, corrosion and leak detection.

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An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure

Cited by 3 publications

References 25 publications

Collapse of corroded pipes under external pressure considering corrosion asymmetry, non-uniformity, and initial ovality

Collapse of corroded pipes under external pressure considering corrosion asymmetry, non-uniformity, and initial ovality

Corrosion behavior and protection mechanism of carbon steel coated with ethylene chlorotrifluoroethylene (ECTFE)

Development of Subsea Pipeline Buckling, Corrosion and Leakage Monitoring

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