Initiation and propagation of buckles in pipelines

Wierzbicki, Tomasz; Bhat, Shankar

doi:10.1016/0020-7683(86)90032-6

Cited by 45 publications

(9 citation statements)

References 9 publications

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“…In the first kind there is a tightly-curved knuckle contained between two moving flexural hinges: the separation between these hinges is generally by a length of order (Rt)~, where R is an overall radius of curvature and t is the thickness of the shell. In such an arrangement,the energies dissipated in plastic deformation of bending and stretching are of the same order of magnitude; but there seems to be no over-riding condition that they should be egual, in contrast to the small-deflection, non-travelling hinge problem of section III, and in spite of the frequent occurrence of equations such as (10), (24) and (27).…”

Section: Discussionmentioning

confidence: 88%

Analysis of Large Plastic Deformations in Shell Structures

Calladine

1986

Inelastic Behaviour of Plates and Shells

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Section: Discussionmentioning

confidence: 88%

Analysis of Large Plastic Deformations in Shell Structures

Calladine

1986

Inelastic Behaviour of Plates and Shells

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“…From Eqs. (9) and (10), we have <£> « of>/2, tj>«0 (12) The effective bending strain and the effective bending stress are approximated as…”

Section: Deformation Kinematics In the Transition Zonementioning

confidence: 99%

“…Assuming rigid plastic material property, a four-plastic-hinge model was introduced to illustrate the ring col lapse mechanism based on upper bound theorem. Several subse quent researchers had extended the analysis by considering the influence of material strain hardening [5][6][7][8], axial bending and stretching [9][10][11], and the thick nonuniformity [12][13][14][15].…”

confidence: 99%

A Global Energy Approach for Analysis of a Propagating Buckle in Submarine Pipelines

Tang

Xue

Liu

2014

Journal of Offshore Mechanics and Arctic Engineering

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This paper presents a unique approach to analyze the steady-state buckle propagation phenomenon in underwater pipelines. In previous work, we restudied the buckling o f a very long pipeline subjected to external pressure and found that buckling happens only over a certain length o f the pipeline. In this paper, the collapse mode o f the pipeline obtained in previous studies is taken as the transition zone during steady-state buckle propagation. Kinematics in the transition zone is analyzed based on von Karman-Donnell type o f nonlinearity. Assuming linear elastic rigid plastic material properties, the mechanical responses in the transition zone are examined using the defor mation theory. Two parameters, the yield coefficient and the membrane stretching factor, are introduced to depict the effects o f transversal bending and the membrane stretching, respectively. Analytical solution o f buckle propagation pressure is derived by considering the energy conversation calculated from shell theory. It is found that the buckle propaga tion performance is governed by the transversal bending, including the circumferential bending and longitudinal bending. The membrane stretching is significant only fo r thick wall pipeline, in particular when the ratio o f radius-to thickness is small than ten. The analysis is in effect by comparing the obtained solutions with the well-established predic tions and the experimental results.

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“…In particular, for very thick pipes, thick wall effects and large strain effects may prevail. Therefore, the foregoing predictions are expected to be accurate when the values of the radius/thickness are greater than or equal to 40 [6].…”

Section: Introductionmentioning

confidence: 96%

“…By invoking deformation theory and neglecting any path-dependent effects associated with the nonproportional stressing in the transition zone, they proposed that the buckling pressure is the one that can sustaiti the unbuckled, buckled, and transition regions. Weizbicki and Bhat [6,7] applied the kinematic methods of plasticity to derive analytical solutions for the propagation and initiation pressure. They developed a moving hinge model to account for the effect of strain hardening during propagation.…”

Section: Introductionmentioning

confidence: 99%

Postbuckling Analysis of the Length of Transition Zone in a Buckle Propagating Pipeline

Xue¹

2013

Journal of Applied Mechanics

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When a buckle is initiated in a pipe subjected to external pressure, it will propagate along the longitudinal direction of the pipe if the external pressure is greater than its buckle propagation pressure. For a steady state condition, the propagation is simply considered as the translation of the buckle along the pipeline. This paper presents a unique approach to determine the length of the transition zone in a buckle propagating pipe by analyzing the mechanism of postbuckling of the pipe subjected to the external pressure. Buckling is considered to occur locally in the shell, spreading over a certain length along the longitudinal axis of the shell. The governing equations are derived from the postbuckling theory. Approximate solutions are obtained from the Ritz method, using a plausible function of the flexural displacement created based on Timoshenko's ring solution of the transverse collapse mode. The postbuckling equilibrium path shows that the pipeline experiences unstable collapse until the two opposite points on the inner surface contact each other. The length of the transition zone is found to be proportional to the ratio of (radius)^''/(thickness)"^ and is hardly affected by the material properties. The analysis is performed by comparing the obtained results with well-established predictions.

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Initiation and propagation of buckles in pipelines

Cited by 45 publications

References 9 publications

Analysis of Large Plastic Deformations in Shell Structures

Analysis of Large Plastic Deformations in Shell Structures

A Global Energy Approach for Analysis of a Propagating Buckle in Submarine Pipelines

Postbuckling Analysis of the Length of Transition Zone in a Buckle Propagating Pipeline

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