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

Ngalle Itoumbou Christina Joyce; Lei Chen; Kapnang Franky

doi:doi:10.11648/j.ajce.20221002.15

| Peer-Reviewed

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

Ngalle Itoumbou Christina Joyce, Lei Chen, Kapnang Franky

Published in American Journal of Civil Engineering (Volume 10, Issue 2)

Received: 26 April 2022 Accepted: Published: 28 April 2022

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2024. 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.

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download

Author Information

Ngalle Itoumbou Christina Joyce

School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China
Lei Chen

School of Civil Engineering, Henan University of Technology, Zhengzhou, PR China
Kapnang Franky

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

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download