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Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending

Received: 26 April 2022     Published: 28 April 2022
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Abstract

A recent computational study has found unique zones of stability behaviour in elastic High-strength steel tubes under global bending with different geometrical lengths. A situation under which the most compressed fiber approaches the buckling stress for uniform axial compression is the initial estimation of elastic buckling strength in bending. Cylinders with sufficient length develop a fully developed ovalization of the cross-section and fail by local buckling around the Brazier prediction. Under global bending regimes, typical buckles are fairly modest and extend across a very tiny region, accompanied by global bending extending the crucial value. The situation under which the major compressed fiber approaches the buckling stress for compression bending is the initial estimate of the elastic buckling strength in bending. In this study, the nonlinear behavior of short to long tubes under global bending is studied, with specific and different dimensions, radius-to-thickness ratios, and boundary conditions according to Europe an Standard 1993-1-6. Both the crucial buckling Eigenmode and the geometrically nonlinear elastic analysis are investigated. Because of a buckling stress state dominated by local harmony bending, it is confirmed that the cylinder length takes part in a crucial part in finding this behavior. A failure behavior of this type of material is then going to be investigated.

Published in American Journal of Civil Engineering (Volume 10, Issue 2)
DOI 10.11648/j.ajce.20221002.15
Page(s) 64-69
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), 2022. Published by Science Publishing Group

Keywords

High Steel Strength, Ovalization, Buckle, Non-uniform, Elastic, Post-buckling, Global Bending

References
[1] Antoine, P. A., 2000. Comportement des coques cylindriques minces sous chargements combines: vers une amelioration du dimensionnement sous flexion et pression interne. (Behavior of thin cylindrical shells under combined loading: towards an improved design process for bending and internal pressure), Ph.D. thesis, INSA de Lyon, Lyon, France.
[2] Fleugge, W., 1973. Stresses in Shells, second ed. Springer-Verlag, Berlin.
[3] Hibbitt, D., Karlsson, B., Sorensen, P.: ABAQUS Version 6.6 Standard user’s guide and theoretical manual. HKS Inc., Pawtucket, Rhode Island, USA, 2006.
[4] Stephens, W. B., Starnes Jr., J. H., 1975. Collapse of long cylindrical shells under combined bending and pressure loads. AIAA J. 13 (1), 20-25.
[5] Russell, P. and Dowell, G. (1933) Competitive Design of Steel Structures. London : Chapman & Hall, Ltd. Seide, P., Weingarten, V. I.: On the Buckling of Circular Cylindrical Shells Under Pure Bending. Journal of Applied Mechanics, 28 (1961), pp. 112–116.
[6] Bjorhovde, R. (2004) Development and use of high-performance steel. Journal of Constructional Steel Research, 60: 393–400.
[7] Brazier, L. G.: On the flexure of thin cylindrical shells and other ‘thin’ sections. Proceedings, Roy. Soc. London Series A, 116 (1927), pp. 104–114.
[8] Von Kármán, T., 1911. Über die Formänderung dunnwändiger Rohre, insbesondere federnder Ausgleichsrohre. VDI-Zeitschrift 55, 1889–1895.
[9] C. R. Calladine: Theory of Shell Structures, Cambridge University Press, Cambridge (1983).
[10] E. L. Axelrad: Refinement of buckling-load analysis for tube flexure by way of considering precritical deformation, [in Russian] Izvestiya Akademii Nauk SSSR, Otdelenie Tekhnicheskikh Nauk, Mekhanika i Mashinostroenie (1965), Vol. 4, p. 133-139.
[11] Hibbit, Karlsson, Sorensen, 1998. ABAQUS /Standard Theory and User’s Manuals.
[12] Riks, E., Rankin, C. C., Brogan, F. A., 1996. On the solution of mode jumping phenomena in thin-walled shell structures. Comput. Methods Appl. Mech. Engng. 136, 59–92.
[13] Rotter, J. M., 2004. 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.
[14] Almroth, B. O., Starnes Jr., J. H., 1973. The computer in shell stability analysis. In: Presented at the 1973 ASCE National Structural Engineering Meeting, San Francisco.
[15] Teng, J. G., Song, C. Y., 2001. Numerical models for nonlinear analysis of elastic shells with eigenmode-affine imperfections. Int. J. Solids Struct. 38 (18), 3263–3280.
[16] Seide, P., Weingarten, V. I., 1961. On the buckling of circular cylindrical shells under pure bending. J. Appl. Mech., ASME 28 (1), 112– 116.
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  • APA Style

    Ngalle Itoumbou Christina Joyce, Lei Chen, Kapnang Franky. (2022). Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending. American Journal of Civil Engineering, 10(2), 64-69. https://doi.org/10.11648/j.ajce.20221002.15

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    ACS Style

    Ngalle Itoumbou Christina Joyce; Lei Chen; Kapnang Franky. Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending. Am. J. Civ. Eng. 2022, 10(2), 64-69. doi: 10.11648/j.ajce.20221002.15

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    AMA Style

    Ngalle Itoumbou Christina Joyce, Lei Chen, Kapnang Franky. Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending. Am J Civ Eng. 2022;10(2):64-69. doi: 10.11648/j.ajce.20221002.15

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  • @article{10.11648/j.ajce.20221002.15,
      author = {Ngalle Itoumbou Christina Joyce and Lei Chen and Kapnang Franky},
      title = {Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending},
      journal = {American Journal of Civil Engineering},
      volume = {10},
      number = {2},
      pages = {64-69},
      doi = {10.11648/j.ajce.20221002.15},
      url = {https://doi.org/10.11648/j.ajce.20221002.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20221002.15},
      abstract = {A recent computational study has found unique zones of stability behaviour in elastic High-strength steel tubes under global bending with different geometrical lengths. A situation under which the most compressed fiber approaches the buckling stress for uniform axial compression is the initial estimation of elastic buckling strength in bending. Cylinders with sufficient length develop a fully developed ovalization of the cross-section and fail by local buckling around the Brazier prediction. Under global bending regimes, typical buckles are fairly modest and extend across a very tiny region, accompanied by global bending extending the crucial value. The situation under which the major compressed fiber approaches the buckling stress for compression bending is the initial estimate of the elastic buckling strength in bending. In this study, the nonlinear behavior of short to long tubes under global bending is studied, with specific and different dimensions, radius-to-thickness ratios, and boundary conditions according to Europe an Standard 1993-1-6. Both the crucial buckling Eigenmode and the geometrically nonlinear elastic analysis are investigated. Because of a buckling stress state dominated by local harmony bending, it is confirmed that the cylinder length takes part in a crucial part in finding this behavior. A failure behavior of this type of material is then going to be investigated.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Nonlinear Stability Analysis of Elastic High Strength Steel Tubes Under Global Bending
    AU  - Ngalle Itoumbou Christina Joyce
    AU  - Lei Chen
    AU  - Kapnang Franky
    Y1  - 2022/04/28
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ajce.20221002.15
    DO  - 10.11648/j.ajce.20221002.15
    T2  - American Journal of Civil Engineering
    JF  - American Journal of Civil Engineering
    JO  - American Journal of Civil Engineering
    SP  - 64
    EP  - 69
    PB  - Science Publishing Group
    SN  - 2330-8737
    UR  - https://doi.org/10.11648/j.ajce.20221002.15
    AB  - A recent computational study has found unique zones of stability behaviour in elastic High-strength steel tubes under global bending with different geometrical lengths. A situation under which the most compressed fiber approaches the buckling stress for uniform axial compression is the initial estimation of elastic buckling strength in bending. Cylinders with sufficient length develop a fully developed ovalization of the cross-section and fail by local buckling around the Brazier prediction. Under global bending regimes, typical buckles are fairly modest and extend across a very tiny region, accompanied by global bending extending the crucial value. The situation under which the major compressed fiber approaches the buckling stress for compression bending is the initial estimate of the elastic buckling strength in bending. In this study, the nonlinear behavior of short to long tubes under global bending is studied, with specific and different dimensions, radius-to-thickness ratios, and boundary conditions according to Europe an Standard 1993-1-6. Both the crucial buckling Eigenmode and the geometrically nonlinear elastic analysis are investigated. Because of a buckling stress state dominated by local harmony bending, it is confirmed that the cylinder length takes part in a crucial part in finding this behavior. A failure behavior of this type of material is then going to be investigated.
    VL  - 10
    IS  - 2
    ER  - 

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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

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