Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T00:00:36.548Z Has data issue: false hasContentIssue false
  • English
  • Français

Axial Crushing of Prismatic Multi-Corner Metal Columns Considering Plastic Hardening and Curvature

Published online by Cambridge University Press:  28 February 2018

A. Malekshahi ,
K. H. Shirazi  and
M. Shishehsaz
A. Malekshahi*
Affiliation:
Department of Mechanical Engineering Shahid Chamran University of AhvazAhvaz, Iran
K. H. Shirazi
Affiliation:
Department of Mechanical Engineering Shahid Chamran University of AhvazAhvaz, Iran
M. Shishehsaz
Affiliation:
Department of Mechanical Engineering Shahid Chamran University of AhvazAhvaz, Iran
*
*Corresponding author (a-malekshahi@phdstu.scu.ac.ir.)
Get access

Abstract

In this paper, progressive crushing of prismatic multi-corner thin walled metal tubes under quasi-static axial load is investigated in detail. The novelty of the paper is mainly in considering strain hardening effect during plastic deformation instead of rigid plastic model and also the effect of curvature in forming the folds instead of plastic hinges. For this purpose, a new geometric model based on FEM and experimental observations is used which is capable of being adapted with new crushing configurations during crushing. Based on this model, the instantaneous energy associated with plastic deformation of different regions are calculated and finally by summing all energies and using minimum absorbed energy, mean crushing force and collapse parameters are determined. To evaluate the results, a detailed finite element study using ABAQUS and LS-Dyna solver is conducted on some regular polygonal mild steel tubes under axial crushing. Comparing the results of the new theoretical approach with FEM results show very good capability of that in predicting collapse behavior of these structures.

Keywords

Thin-walled metal tubesLinear hardeningAxial crushing
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 3 , June 2019 , pp. 315 - 326
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Alexander, J., “An Approximate Analysis of the Collapse of Thin Cylindrical Shells under Axial Loading,” The Quarterly Journal of Mechanics and Applied Mathematics, 13, pp. 10–15 (1960).Google Scholar
Wierzbicki, T. and Abramowicz, W., “On the Crushing Mechanics of Thin-Walled Structures,” Journal of Applied Mechanics, 50, pp. 727–734 (1983)Google Scholar
Wierzbicki, T., “Crushing Analysis of Metal Honeycombs,” International Journal of Impact Engineering, 1, pp. 157–174 (1983).Google Scholar
Hayduk, R. J. and Wierzbicki, T., “Extensional Collapse Modes of Structural Members,” Computers & Structures, 18, pp. 447–458 (1984).Google Scholar
White, M., Jones, N. and Abramowicz, W., “A Theoretical Analysis for the Quasi-Static Axial Crushing of Top-Hat and Double-Hat Thin-Walled Sections,” International Journal of Mechanical Sciences, 41, pp. 209–233 (1999).Google Scholar
Najafi, A. and Rais-Rohani, M., “Mechanics of Axial Plastic Collapse in Multi-Cell, Multi-Corner Crush Tubes,” Thin-Walled Structures, 49, pp. 1–12 (2011).Google Scholar
Abramowicz, W. and Wierzbicki, T., “Axial Crushing of Multicorner Sheet Metal Columns,” Journal of Applied Mechanics, 56, pp. 113–120 (1989).Google Scholar
Abramowicz, W., “The Effective Crushing Distance in Axially Compressed Thin-Walled Metal Columns,” International Journal of Impact Engineering, 1, pp. 309–317 (1983).Google Scholar
Tarigopula, V. et al., “Axial Crushing of Thin- Walled High-Strength Steel Sections,” International Journal of Impact Engineering, 32, pp. 847–882 (2006).Google Scholar
Langseth, M. and Hopperstad, O., “Static and Dynamic Axial Crushing of Square Thin-Walled Aluminium Extrusions,” International Journal of Impact Engineering, 18, pp. 949–968 (1996).Google Scholar
Song, J., Zhou, Y. and Guo, F., “A Relationship between Progressive Collapse and Initial Buckling for Tubular Structures under Axial Loading,” International Journal of Mechanical Sciences, 75, pp. 200–211 (2013).Google Scholar
Zhang, X. and Zhang, H., “Crush Resistance of Square Tubes with Various Thickness Configurations,” International Journal of Mechanical Sciences, 107, pp. 58–68 (2016).Google Scholar
Zhang, X. and Huh, H., “Crushing Analysis of Polygonal Columns and Angle Elements,” International Journal of Impact Engineering, 37, pp. 441–451 (2010).Google Scholar
Zhang, X. and Zhang, H., “Energy Absorption Limit of Plates in Thin-Walled Structures under Compression,” International Journal of Impact Engineering, 57, pp. 81–98 (2013).Google Scholar
Zhang, X. et al., “Energy Absorption of Axially Compressed Thin-Walled Square Tubes with Patterns,” Thin-Walled Structures, 45, pp. 737–746 (2007).Google Scholar
Zhang, X. and Zhang, H., “Experimental and Numerical Investigation on Crush Resistance of Polygonal Columns and Angle Elements,” Thin-Walled Structures, 57, pp. 25–36 (2012).Google Scholar
Zhang, X. and Zhang, H., “Numerical and Theoretical Studies on Energy Absorption of Three-Panel Angle Elements,” International Journal of Impact Engineering, 46, pp. 23–40 (2012).Google Scholar
Zhang, X. and Zhang, H., “Theoretical and Numerical Investigation on the Crush Resistance of Rhombic and Kagome Honeycombs,” Composite Structures, 96, pp. 143–152 (2013).Google Scholar
Hao, W., Xie, J. and Wang, F., “Theoretical Prediction of the Progressive Buckling and Energy Absorption of the Sinusoidal Corrugated Tube Subjected to Axial Crushing,” Computers & Structures, 191, pp. 12–21 (2017).Google Scholar
Hong, W. et al., “Axial Crushing Behaviors of Multi- Cell Tubes with Triangular Lattices,” International Journal of Impact Engineering, 63, pp. 106–117 (2014).Google Scholar
Winter, G. and Pian, R., “Crushing Strength of Thin Steel Webs,” Cornell University (1946).Google Scholar
Mendelson, A., “Plasticity, Theory and Application,” Macmillan, New York, 367 (1968).Google Scholar
Hodge, P. G., “Plastic Analysis of Structures,” McGraw-Hill, New York, 378 (1959).Google Scholar