Sage Journals: Discover world-class research

Abstract

This work derives the theoretical prediction of the impact behaviour of single thin-walled prismatic columns with various cross-sections based on an improved extensional collapse element. The extensional crushing mechanics were reviewed and improved to calculate the impact crushing characteristics of any single thin-walled prismatic columns: that is, square, hexagonal, octagonal and circular columns. The general equations to predict the mean crushing force and axial instantaneous crushing force of the single thin-walled prismatic versus the folding angle or axial displacement were derived theoretically. Furthermore, using the extensional collapse mode, the maximum (peak) crushing force was theoretically predicted during the first folding process. Lastly, the impact of the columns obtained by the improved theoretical solution was compared via numerical simulation.

Keywords

Extensional modes prismatic columns impact crushing theoretical

Get full access to this article

View all access options for this article.

References

Alexander

. An approximate analysis of the collapse of thin cylindrical shells under axial loading. Quart J Mech Appl Math 1960; 13: 10–15.

Wierzbicki

Abramowicz

. On the crushing mechanics of thin–walled structures. J Appl Mech 1983; 50: 727–734.

Abramowicz

Wierzbicki

. Axial crushing of multicorner sheet metal columns. J Appl Mech 1989; 58: 113–120.

Abramowicz

Jones

. Dynamic axial crushing of circular tubes. Int J Impact Eng 1984; 2: 263–281.

Abramowicz

Jones

. Dynamic axial crushing of square tubes. Int J Impact Eng 1984; 2: 179–208.

Abramowicz

Jones

. Dynamic progressive buckling of circular and square tubes. Int J Impact Eng 1986; 4: 243–270.

Hayduk

Wierzbicki

. Extensional collapse modes of structural members. Comput Struct 1984; 18: 447–458.

Jusuf

Allam

Dirgantara

, et al. Low velocity impact analyses of prismatic columns using finite element method. Key Eng Mater 2011; 462–463: 1308–1313.

Jusuf

Dirgantara

Gunawan

, et al. Numerical and experimental study of single-walled and double-walled columns under dynamic axial crushing. J Mech Eng 2012; 9: 53–72.

10.

Zhang

. Experimental and numerical investigation on crush resistance of polygonal columns and angle elements. Thin-Walled Struct 2012; 57: 25–36.

11.

Maalej

Chaari

Zouari

, et al. Closed form solution for the collapse of polygonal thin-walled columns in the axial crushing case. J Theor Appl Mech 2014; 52: 707–718.

12.

Zhang

Huh

. Crushing analysis of polygonal columns and angle elements. Int J Impact Eng 2010; 37: 441–451.

13.

Nia

Parsapour

. Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections. Thin-Walled Struct 2014; 74: 155–165.

14.

Yao

Tian

, et al. Crushing characteristic of polygonal tubes with hierarchical triangular cells. Thin-Walled Struct 2020; 157: 107031.

15.

Deng

Xie

Liu

, et al. Experimental study of the core role of GFRP and LDPE on the collapse behavior of absorbers printed with PLA and ABS. Proc IMechE L: J Materials: Design and Applications 2023; 237: 565–576.

16.

Hasanzadeh

Mohtarami

Ebadati

, et al. Collapse analysis of Al 6061 alloy conical shells with circular cutouts under axial loading: experiment and simulation. Proc IMechE L: J Materials: Design and Applications 2022; 236: 704–714.

17.

Mansoori

Hamzehei

Dariushi

. Crashworthiness analysis of cylindrical tubes with coupling effects under quasi-static axial loading: an experimental and numerical study. Proc IMechE L: J Materials: Design and Applications 2022; 236: 647–662.

18.

Pugsley

Macaulay

. The large-scale crumpling of thin cylindrical columns. Quart J Mech Appl Math 1960; 13: 1–9.

19.

Johnson

. Impact strength of materials. Edward Arnold, London, Crane Russak, New York 1972.

20.

Abramowicz

. The effective crushing distance in axially compressed thin-walled metal columns. Int J Impact Eng 1983; 1: 309–317.

21.

Wierzbicki

Scheider

. Energy equivalent flow stress in crash calculations. Impact and Crashworthiness Laboratory MIT 1999: Report No 15.

22.

Santosa

. Crashworthiness analysis of ultra–light metal structures. PhD Dissertation 1999; Department of Mechanical Engineering, Massachusetts Institute of Technology.

23.

Langseth

Hopperstad

. Static and dynamic axial crushing of square thin-walled aluminium extrusions. Int J Impact Eng 1996; 18: 949–968.

Improved extensional crushing mechanics of prismatic columns with various cross-sections

Abstract

Keywords

Get full access to this article

References