A semi-analytical approach to elastic–plastic buckling analysis of pipes with asymmetric local wall thinning

Wu, Huijuan; Zhao, Haisheng; Li, Xin; Feng, Xin

doi:10.1016/j.tws.2021.107615

Cited by 10 publications

(13 citation statements)

References 23 publications

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“…The misalignment e strongly affects the deformation modes (see e.g. Figure 2 for initial deformation and Figure 6 for collapse deformation) and thus corrosion asymmetry (when e ≠ 0 ) could not be neglected (an observation made also by Wu et al 33 ).…”

Section: Discussionmentioning

confidence: 95%

“…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%

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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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Section: Discussionmentioning

confidence: 95%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

Section: Governing Inhomogeneous Differential Equationmentioning

confidence: 99%

See 1 more Smart Citation

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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“…For pipelines with corrosion defect depth d/t > 0.1, when the corrosion defect angle is small, the collapse pressure decreases faster, and its influence on buckling force decreases gradually as corrosion defect angle increases. As another important index of defect parameters, the depth of corrosion defect also has an important impact on the buckling instability of corroded steel pipeline [42,43]. It can be seen in Figure 17 that the collapse pressure gradually decreases as d/t increases.…”

Section: Influence Of Defect Size On the Buckling Responses Of Steel ...mentioning

confidence: 99%

“…For the cases of θc ≥ 0.5, the collapse pressure decreases approximately linearly. As another important index of defect parameters, the depth of corrosion defect also has an important impact on the buckling instability of corroded steel pipeline [42,43]. It can be seen in Figure 17 that the collapse pressure gradually decreases as d/t increases.…”

Section: Influence Of Defect Size On the Buckling Responses Of Steel ...mentioning

confidence: 99%

Buckling Analysis of Corroded Pipelines under Combined Axial Force and External Pressure

Chen

2022

Metals

Self Cite

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Affected by a complex environment, corrosion is a common defect in steel pipelines. Moreover, steel pipelines are subjected to large axial forces during their installation and operation. Corroded deep-sea steel pipelines are prone to local buckling under complex loads. Therefore, in view of this problem, the collapse response of corroded steel pipelines under the combined axial force and external pressure is analyzed in detail. First, a formula for evaluating the collapse pressure of corroded steel pipelines under external pressure and axial force is proposed. Then, the factors affecting the collapse pressure of the steel pipeline are parameterized by using the finite element method. The accuracy of the finite element model is proved by collapse tests of the corroded steel pipeline. As shown in finite element results, the diameter-to-thickness ratio, initial ovality and corrosion defect size have significant effects on the buckling response of a steel pipeline. The collapse pressure of the steel pipeline decreases as the axial force increases. Finally, based on the finite element simulation results, the parameter variables in the evaluation formula are obtained.

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Buckling analysis of structures with local abnormality using non-uniform spline finite strip method

Yu,

Qiao

2025

Computers & Structures

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A semi-analytical approach to elastic–plastic buckling analysis of pipes with asymmetric local wall thinning

Cited by 10 publications

References 23 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

Buckling Analysis of Corroded Pipelines under Combined Axial Force and External Pressure

Buckling analysis of structures with local abnormality using non-uniform spline finite strip method

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