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Nonlinear contact between inner walls of deep sea pipelines in buckling process

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Abstract

In order to study buckling propagation mechanism in deep sea pipelines, the contact between pipeline’s inner walls in buckling process was studied. A two-dimensional ring model was used to represent the pipeline and a nonlinear spring model was adopted to simulate the contact between inner walls. Based on the elastoplastic constitutive relationship and the principle of virtual work theory, the coupling effect of pipeline’s nonlinear large deformation and wall contact was included in the theoretical analysis with the aid of MATLAB, and the application scope of the theoretical model was also discussed. The calculated results show that during the loading process, the change in external pressure is closely related to the distribution of section stress, and once the walls are contacting each other, the external pressure increases and then remains stable after it reaches a specific value. Without fracture, the pipeline section will stop showing deformation. The results of theoretical calculations agree well with those of numerical simulations. Finally, in order to ensure reliability and accuracy of the theoretical results, the collapse pressure and propagation pressure were both verified by numerical simulations and experiments. Therefore, the theoretical model can be used to analyze pipeline’s buckling deformation and contact between pipeline’s inner walls, which forms the basis for further research on three-dimensional buckling propagation.

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References

  • Bhat, S. U., and Wierzbicki, T., 1987. On the length of the transition zone in unconfined buckle propagation. Journal of Offshore Mechanics and Arctic Engineering, 109: 155–162.

    Article  Google Scholar 

  • Chen, T. Y., and Shao, W. J., 1979. The general plastic stability theory of ring-stiffened cylindrical shells with large deflection under external hydrostatic pressure and the influence of initial imperfections on their instability. Ship Building of China, 3: 59–78 (in Chinese).

    Google Scholar 

  • Croll, J. G. A., 1985. Analysis of buckle propagation in marine pipelines. Journal of Constructional Steel Research, 5(2): 103–122.

    Article  Google Scholar 

  • Cui, Z. P., and Zhang, Z. H., 2012. Sensitivity analysis of submarine pipeline hydrostatic collapse pressure based on ABAQUS. Ocean Technology, 31(2): 73–76.

    Google Scholar 

  • Dyau, J. Y., and Kyriakides, S., 1993a. On the localization of collapse in cylindrical shells under external pressure. International Journal of Solid and Structures, 30(4): 463–482.

    Article  Google Scholar 

  • Dyau, J. Y., and Kyriakides, S., 1993b. On the propagation pressure of long cylindrical shells under external pressure. International Journal of Mechanics Science, 35(8): 675–713.

    Article  Google Scholar 

  • Estefen, S. F., 1999. Collapse behavior of intact and damaged deepwater pipelines and the influence of the reeling method of installation. Journal of Constructional Steel Research, 50(2): 99–114.

    Article  Google Scholar 

  • Fabian, O., 1977. Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads. International Journal of Solids and Structures, 13(12): 1257–1270.

    Article  Google Scholar 

  • Gong, S. F., Chen, Y., Jin, W. L., Bai, Y., Li, Z. G., and Zhao, D. Y., 2012. Local buckling of deepwater oil-gas pipeline under high hydrostatic pressure. Journal of Zhejiang University (Engineering Science), 46(1): 14–19 (in Chinese).

    Google Scholar 

  • Huang, K. Z., and Huang, Y. G., 1999. Constitutive Relationship of Solid. Tsinghua University Press, Beijing, 25–30.

    Google Scholar 

  • Ji, L. K., Li, H. L., Chen, H. Y., and Zhao, W. Z., 2012. Analysis of local buckling strain of line pipe. Chinese Journal of Applied Mechanics, 29(6): 758–762 (in Chinese).

    Google Scholar 

  • Kyriakides, S., and Arikan, E., 1983. Postbuckling behavior of inelastic inextensional rings under external pressure. Journal of Applied Mechanics, 50: 537–548.

    Article  Google Scholar 

  • Kyriakides, S., and Babcock, C. D., 1981. Large deflection collapse analysis of an inelastic inextensional ring under external pressure. International Journal of Solid and Structures, 17(10): 981–993.

    Article  Google Scholar 

  • Kyriakides, S., and Netto, T. A., 2000. On the dynamics of propagating buckles in pipelines. International Journal of Solids and Structures, 37(46–47): 6843–6867.

    Article  Google Scholar 

  • Li, X. Z., Li, Z. B., Yu, J. X., Yang, Y., Zhang, Y., and Sun, Z. Z., 2012. Research on the structure reliability based on the collapse of deepsea pipes. China Offshore Oil and Gas, 25(1): 64–68 (in Chinese).

    Google Scholar 

  • Palmer, A. C., and Martin, J. H., 1975. Buckle propagation in submarine pipelines. Nature, 254: 46–48.

    Article  Google Scholar 

  • Xue, J. H., 2006. A non-linear finite-element analysis of buckle propagation in subsea corroded pipelines. Finite Elements in Analysis and Design, 42(14-15): 1211–1219.

    Article  Google Scholar 

  • Yu, J. X., Bian, X. H., Yu, Y., Yang, Y., and Wang, Y. G., 2012. Full-scale collapse test and numerical simulation of deepwater pipeline. Journal of Tianjin University, 45(2): 154–159 (in Chinese).

    Google Scholar 

  • Yu, J. X., Li, Z. B., Du, Z. F., Fu, M. Y., Bian, X. H., and Yang, Y., 2013. Theoretical calculation method of the nonlinear buckling of deepsea pipes. The Ocean Engineering, 31(1): 54–60 (in Chinese).

    Google Scholar 

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Correspondence to Qingji Zhou.

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Ma, W., Yu, J., Zhou, Q. et al. Nonlinear contact between inner walls of deep sea pipelines in buckling process. J. Ocean Univ. China 14, 75–83 (2015). https://doi.org/10.1007/s11802-015-2368-8

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  • DOI: https://doi.org/10.1007/s11802-015-2368-8

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