| Peer-Reviewed

Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending

Received: 18 April 2022    Accepted:     Published: 20 April 2022
Views:       Downloads:
Abstract

In recent years, high-strength steel has been used extensively for infrastructures because of its many advantages, such as its ductility and strain-hardening properties, which are inferior to those of ordinary structural steel, and the small dimensions of the structural elements, which lead to greater freedom and elegance in design, resulting in lighter structures. In practice, imperfections such as residual stresses due to the welding process and pre-buckling mode imperfections are inevitable in cylindrical structures made of high-strength steel. A small imperfection amplitude can lead to a disproportionate reduction in buckling strength. Therefore, imperfection sensitivity should be considered when studying the buckling behaviour of the shell. The influence of the combined residual stress and pre-buckling mode imperfection on the buckling behaviour of Q690 high strength steel cylindrical shell under global bending has not yet been investigated and described for all dimensions. In this paper, the combined imperfections influences on the buckling behaviour of high-strength steel cylindrical shell in global bending in the elastic-plastic range are investigated. Using the ABAQUS fine elements software, perfect cylinders with a constant length to thickness ratio equal to 7 and a radius to thickness ratio in the range 10≤ r/t ≤700 were considered to perform the linear bifurcation analysis (LBA) and the geometric nonlinear analysis (GNA). The non-linear analysis with imperfections (GNIA) and the geometric and material non-linear analysis with imperfections (GMNIA) were then performed considering imperfection amplitudes between 0.01 and 2 to derive the critical buckling loads known as bifurcation point for the models with different aspect ratio. The influences of the combined imperfections show that moderately and very thin cylinders are very sensitive to the increase of the pre-buckling mode imperfection amplitude and their buckling strength is insensitive to plasticity. For thick cylinders, the effect of plasticity is more consistent, while the buckling strength is not significantly affected by the increase in pre-buckling mode imperfection amplitude. The main objective is to predict the buckling sensitivity of cylinders under the influence of combined residual stress and pre-buckling mode imperfection. The obtained results, comments and conclusions intend to allow for safer.

Published in American Journal of Civil Engineering (Volume 10, Issue 2)
DOI 10.11648/j.ajce.20221002.13
Page(s) 49-54
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

High Strength Steel Cylinders, Global Bending, Pre-buckling Mode Imperfection, Residual Stress, Imperfections Sensitivity

References
[1] Calladine C. R., Theory of Shell Structures, Cambridge University Press, 1983.
[2] Yamaki, N. Elastic Stability of Circular Cylindrical Shells. North Holland, Elsevier Applied Science Publishers, Amsterdam, 1984.
[3] Rotter J. M. and Teng J. G., “Elastic stability of cylindrical shells with weld depressions”, Journal of Structural Engineering, 115 (5), 1244-1263, 1989.
[4] Donnell L. and Wan C., “Effect of Imperfections on Buckling of Thin Cylinders and Columns under Axial Compression”, Journal of Applied Mechanics - Transactions of the ASME, 17 (1), 73-83, 1950.
[5] Koiter W. T., “The Effect of Axisymmetric Imperfections on the Buckling of Cylindrical Shells under Axial Compression”, Proc Koninklijke Nederlandse Akademie van Wetenschappen, 265- 279, 1963.
[6] Hutchinson J. and Koiter W. T., “Postbuckling Theory”, Applied Mechanics Reviews, 23 (12), 1353-1366, 1970.
[7] Cohen G. A., “Computer Analysis of Imperfection Sensitivity of Ring-stiffened Orthotropic Shells of Revolution”, AIAA Journal, 9 (6), 1032-1039, 1971.
[8] Arbocz J. and Sechler E., “On the Buckling of Axially Compressed Imperfect Cylindrical Shells”, Journal of Applied Mechanics, 41 (3), 737-743, 1974.
[9] Singer J., “The Status of Experimental Buckling Investigations of Shells”, Buckling of Shells, Springer, 501-533, 1982.
[10] Lei Chen, Cornelia Doerich and J. Michael., "A study of cylindrical shells under global bending in the elastic-plastic range", Steel Construction 1, Issue 1, pp 59-65, 2008.
[11] Oluwole K. Fajuyitan, Adam J. Sadowski, J. Michael Rotter., "A Study Of Imperfect Cylindrical Steel Tubes Under Global Bending And Varying Support Conditions", Eighth International Conference on ADVANCES IN STEEL STRUCTURES, Lisbon, Portugal, July 22-24, 2015.
[12] Kshitij Kumar Yadava, Simos Gerasimidis," Instability of thin steel cylindrical shells under bending", Thin-Walled Structures 137, 151–166, 2019.
[13] Jie Wang a, O. Kunle Fajuyitan b, M. Anwar Orabi c, J. Michael Rotter b, Adam J. Sadowski.,"Cylindrical shells under uniform bending in the framework of Reference Resistance Design", Journal of Constructional Steel Research 166 (105920), 1-17, 2020.
[14] Rotter, J. M. Buckling of cylindrical shells under axial compression. In: Teng, J. G., Rotter, J. M. (Eds.), Buckling of Thin Metal Shells. Spon Press, London, pp. 42–87, 2004.
[15] Chin-Hyung L, Jeong-Hoon B and Kyong-Ho C., Bending capacity of girth-welded circular steel tubes. Journal of Constructional Steel Research 75 (10): 142–151, 2012.
[16] Lindgren LE., Finite element modelling and simulation of welding, part 1 increased complexity. Journal of Thermal Stresses 24: 141–192, 2001a.
[17] Lindgren LE., Finite element modelling and simulation of welding, part 2 improved material modeling. Journal of Thermal Stresses 24: 195–231, 2001b.
[18] Lindgren LE., Finite element modelling and simulation of welding, part 3 efficiency and integration. Journal of Thermal Stresses 24: 305–334, 2001c.
[19] Lindgren LE., Numerical modelling of welding. Computer Methods in Applied Mechanics and Engineering 195: 6710–6736, 2006.
[20] Nishino F, Ueda Y and Tall L., Experimental investigation of the buckling of plates with residual stresses. In Test Methods for Compression Members. American Society for Testing and Materials, Philadelphia, PA, USA, ASTM special technical publication, STP 419, pp. 12–30, 1967.
[21] Beg D and Hlandnik L., Slenderness limit of class 3 I cross-sections made of high strength steel. Journal of Constructional Steel Research 38 (8): 201–207, 1996.
[22] Rasmussen KJR and Hancock GJ., Plate slenderness limits for high strength steel sections. Journal of Constructional Steel Research 23 (1): 73–96, 1992.
[23] Rasmussen KJR and Hancock GJ., Tests of high strength steel columns. Journal of Constructional Steel Research 34 (1): 27–52, 1995.
[24] Shi G, Jiang X, Zhou W, et al., Experimental investigation and modelling on residual stress of welded steel circular tubes. Int. J. Steel Struct. 13 (3): 495–508, 2013.
[25] Yang C, Yang J, Su M, et al. Residual stress in high-strength-steel welded circular tube. Struct. Build. 1–10., 2016.
[26] Gang S, Xue J, Wenjing Z et al., Experimental study on column buckling of 420 MPa high strength steel welded circular tubes. Journal of Constructional Steel Research 100: 71–81., 2014.
[27] Ballio G and Mazzolani FM., Theory and Design of Steel Structures. Chapman and Hall, London, UK, and New York, NY, USA, pp. 123–125, 1983.
[28] Wei Yanlei, Guo Yonghua, Sun Qing, Zhang Bin., “Study on local stability of Q690 high-strength steel tube under axial compression”, China civil engineering Journal, Vol. 46, No. 5, pp 1-12, 2013. doi: 10.15951/j.tmgcxb.2013.05.012 (paper in Chinese).
[29] Riks, E., Rankin, C. C., Brogan, F. A., On the solution of mode jumping phenomena in thin-walled shell structures. Comput. Methods Appl. Mech. Engng. 136, 59–92, 1996.
[30] Esslinger, M., Geier, B., Gerechnete Nachbeulasten als untere Grenze der experimentellen axialen Beulasten von Kresiszylindern. Der Stahlbau 41 (12), 353–360, 1972.
[31] Guggenberger, W., Greiner, R., Rotter, J. M., The behavior of locally-supported cylindrical shells: unstiffened shells. J. Construct. Steel Res. 56, 175–197, 2000.
[32] Schneider, W., Hohn, K., Timmel, I., Thiele, R., Quasi-collapse-affine imperfections at slender wind-loaded cylindrical steel € shells. In: Proceedings of 2nd European Conference on Computational Mechanics––ECCM-2001, Cracow, Poland.
[33] Song, C. Y., Teng, J. G. and Rotter, J. M., “Imperfection sensitivity of thin elastic cylindrical shells subject to partial axial compression”, International Journal of Solids and Structures, Vol. 41, July, pp 7155-7180, 2004.
[34] Riks E., “An incremental approach to the solution of snapping and buckling problems”, International Journal of Solids and Structures, 15 (7), 529-551, 1979.
[35] ABAQUS, 2020. ABAQUS Theory Manual. Dassault Systèmes Simulia Corp., Providence, RI, USA.
Cite This Article
  • APA Style

    Kapnang Franky, Lei Chen, Du Mengxing, Ngalle Itoumbou Christina Joyce. (2022). Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending. American Journal of Civil Engineering, 10(2), 49-54. https://doi.org/10.11648/j.ajce.20221002.13

    Copy | Download

    ACS Style

    Kapnang Franky; Lei Chen; Du Mengxing; Ngalle Itoumbou Christina Joyce. Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending. Am. J. Civ. Eng. 2022, 10(2), 49-54. doi: 10.11648/j.ajce.20221002.13

    Copy | Download

    AMA Style

    Kapnang Franky, Lei Chen, Du Mengxing, Ngalle Itoumbou Christina Joyce. Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending. Am J Civ Eng. 2022;10(2):49-54. doi: 10.11648/j.ajce.20221002.13

    Copy | Download

  • @article{10.11648/j.ajce.20221002.13,
      author = {Kapnang Franky and Lei Chen and Du Mengxing and Ngalle Itoumbou Christina Joyce},
      title = {Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending},
      journal = {American Journal of Civil Engineering},
      volume = {10},
      number = {2},
      pages = {49-54},
      doi = {10.11648/j.ajce.20221002.13},
      url = {https://doi.org/10.11648/j.ajce.20221002.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20221002.13},
      abstract = {In recent years, high-strength steel has been used extensively for infrastructures because of its many advantages, such as its ductility and strain-hardening properties, which are inferior to those of ordinary structural steel, and the small dimensions of the structural elements, which lead to greater freedom and elegance in design, resulting in lighter structures. In practice, imperfections such as residual stresses due to the welding process and pre-buckling mode imperfections are inevitable in cylindrical structures made of high-strength steel. A small imperfection amplitude can lead to a disproportionate reduction in buckling strength. Therefore, imperfection sensitivity should be considered when studying the buckling behaviour of the shell. The influence of the combined residual stress and pre-buckling mode imperfection on the buckling behaviour of Q690 high strength steel cylindrical shell under global bending has not yet been investigated and described for all dimensions. In this paper, the combined imperfections influences on the buckling behaviour of high-strength steel cylindrical shell in global bending in the elastic-plastic range are investigated. Using the ABAQUS fine elements software, perfect cylinders with a constant length to thickness ratio equal to 7 and a radius to thickness ratio in the range 10≤ r/t ≤700 were considered to perform the linear bifurcation analysis (LBA) and the geometric nonlinear analysis (GNA). The non-linear analysis with imperfections (GNIA) and the geometric and material non-linear analysis with imperfections (GMNIA) were then performed considering imperfection amplitudes between 0.01 and 2 to derive the critical buckling loads known as bifurcation point for the models with different aspect ratio. The influences of the combined imperfections show that moderately and very thin cylinders are very sensitive to the increase of the pre-buckling mode imperfection amplitude and their buckling strength is insensitive to plasticity. For thick cylinders, the effect of plasticity is more consistent, while the buckling strength is not significantly affected by the increase in pre-buckling mode imperfection amplitude. The main objective is to predict the buckling sensitivity of cylinders under the influence of combined residual stress and pre-buckling mode imperfection. The obtained results, comments and conclusions intend to allow for safer.},
     year = {2022}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Elastic-plastic Buckling Analysis of Q690 High Strength Steel Tubes Under Global Bending
    AU  - Kapnang Franky
    AU  - Lei Chen
    AU  - Du Mengxing
    AU  - Ngalle Itoumbou Christina Joyce
    Y1  - 2022/04/20
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ajce.20221002.13
    DO  - 10.11648/j.ajce.20221002.13
    T2  - American Journal of Civil Engineering
    JF  - American Journal of Civil Engineering
    JO  - American Journal of Civil Engineering
    SP  - 49
    EP  - 54
    PB  - Science Publishing Group
    SN  - 2330-8737
    UR  - https://doi.org/10.11648/j.ajce.20221002.13
    AB  - In recent years, high-strength steel has been used extensively for infrastructures because of its many advantages, such as its ductility and strain-hardening properties, which are inferior to those of ordinary structural steel, and the small dimensions of the structural elements, which lead to greater freedom and elegance in design, resulting in lighter structures. In practice, imperfections such as residual stresses due to the welding process and pre-buckling mode imperfections are inevitable in cylindrical structures made of high-strength steel. A small imperfection amplitude can lead to a disproportionate reduction in buckling strength. Therefore, imperfection sensitivity should be considered when studying the buckling behaviour of the shell. The influence of the combined residual stress and pre-buckling mode imperfection on the buckling behaviour of Q690 high strength steel cylindrical shell under global bending has not yet been investigated and described for all dimensions. In this paper, the combined imperfections influences on the buckling behaviour of high-strength steel cylindrical shell in global bending in the elastic-plastic range are investigated. Using the ABAQUS fine elements software, perfect cylinders with a constant length to thickness ratio equal to 7 and a radius to thickness ratio in the range 10≤ r/t ≤700 were considered to perform the linear bifurcation analysis (LBA) and the geometric nonlinear analysis (GNA). The non-linear analysis with imperfections (GNIA) and the geometric and material non-linear analysis with imperfections (GMNIA) were then performed considering imperfection amplitudes between 0.01 and 2 to derive the critical buckling loads known as bifurcation point for the models with different aspect ratio. The influences of the combined imperfections show that moderately and very thin cylinders are very sensitive to the increase of the pre-buckling mode imperfection amplitude and their buckling strength is insensitive to plasticity. For thick cylinders, the effect of plasticity is more consistent, while the buckling strength is not significantly affected by the increase in pre-buckling mode imperfection amplitude. The main objective is to predict the buckling sensitivity of cylinders under the influence of combined residual stress and pre-buckling mode imperfection. The obtained results, comments and conclusions intend to allow for safer.
    VL  - 10
    IS  - 2
    ER  - 

    Copy | Download

Author Information
  • School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China

  • School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China

  • School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China

  • School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China

  • Sections