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Closed form solution for the collapse of polygonal thin-walled columns in the axial crushing case

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main objective of this paper is to propose a new closed form solution, useful in the pre-design stage, that allows one to calculate the mean load in the case of post-collapse of polygonal thin-walled columns in the axial crushing case. This model gives a rapid and accurate evolution of the normalized mean load as function of the corner element angle as well as the ratio between the corner length and the column thickness. To identify the parameters of this model, numerical simulations with an explicit finite element software have been carried out and then compared to experimental results reported in the literature. Finally, all these results combined with the findings based on the known generalized mixed model developed by other researchers working on this topic enabled one to establish the closed form solution. This is a unified and continuous closed form solution, which is suitable for different columns shapes, even non-conventional shapes obtained thanks to the development of extrusion techniques.
Rocznik
Strony
707--718
Opis fizyczny
Bibliogr. 23 poz., rys., tab.
Twórcy
autor
  • LA2MP, University of Sfax, ENIS, University of Tunis El Manar, ENIT, Tunis, Tunisia
autor
  • LAMIH, UMR 8201 – CNRS, University of Valenciennes, Valenciennes Cedex, France
autor
  • LA2MP, University of Sfax, ENIS, Sfax, Tunisia
  • LAMIH, UMR 8201 – CNRS, University of Valenciennes, Valenciennes Cedex, France
Bibliografia
  • 1. Abramowicz W., 2003, Thin-walled structures as impact energy absorbers, Thin-Walled Structures, 41, 91-107
  • 2. Abramowicz W., Jones N., 1984, Dynamic axial crushing of square tubes, International Journal of Impact Engineering, 2, 2, 179-208
  • 3. Abramowicz W., Wierzbicki T., 1989, Axial crushing of multicorner sheet metal column, Journal of Applied Mechanics, 56, 113-120
  • 4. Cornette D., Thirion J.L., Markiewicz E., Drazetic P., Ravalard Y., 1999, Localisation of collapse mechanisms in axial compression and bending for simplified vehicle crash simulation, IDMME’98, Kluwer Academic Publishers, 19-26
  • 5. Cowper G., Symonds P., 1967, Strain hardening and strain-rate effects in the impact loading of cantilever beams, Technical Reports, Brown University Division of Applied Mathematics, 28
  • 6. Drazetic P., Markiewicz E., Level P., Ravalard Y., 1995, Application of the generalized mixing kinematic model to the calculation of crushing response of complex prismatic sections, International Journal of Impact Engineering, 16, 2, 217-235
  • 7. Drazetic P., Markiewicz E., Ravalard Y., 1993, Applications of kinematic models to compression and bending in simplified crash calculations, International Journal of Mechanical Sciences, 35, 3/4, 179-191
  • 8. Halgrin J., Haugou G., Rota L., Markiewicz E., 1993, Integrated simplified crash modelling approach dedicated to pre-design stage: Evaluation on a front car part, International Journal of Vehicle Safety, 3, 1, 91-115
  • 9. Han D.C., Park S.H., 1999, Collapse behavior of square thin-walled columns subjected to oblique loads, Thin-Walled Structures, 35, 167-184
  • 10. Johnson G.R., Cook W.H., 1983, A constitutive model and data for metal subjected to large strains, high strain rates and high temperatures, Proceedings of the 7th Symposium on Ballistics, The Hague, The Netherlands, 541-547
  • 11. Jones N., 1997, Structural Impact, Cambridge University Press
  • 12. Markiewicz E., 1994, Pf.D. Thesis, Université de Valenciennes et du Hainaut Cambrésis, France
  • 13. Markiewicz E., Ducrocq P., Drazetic P., Ravalard Y., 1996a, Calculation of the dynamic axial crushing response of complex prismatic sections, International Journal of Crashworthiness, 1, 2, 203-224
  • 14. Markiewicz E., Marchand M., Ducrocq P., Drazetic P., 1996b, Evaluation of different simplified crash models, application to the under-frame of a railway driver’s cab, International Journal of Vehicle Design, 26, 187-203
  • 15. Meguid S.A., Attia M.S., Stranart J.C., Wang W., 1996, Solution stability in the dynamic collapse of square aluminium columns, International Journal of Impact Engineering, 34, 348-359
  • 16. Nia A.A., Hamedani J., 2010, Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries, Thin-Walled Structures, 48, 946-954
  • 17. Reid S.R., 1993, Plastic deformation mechanisms in axially compressed metal tubes used as impast energy absorbers, International Journal of Mechanical Sciences, 35, 12, 1035-1052
  • 18. Wierzbicki T., Jones N., 1989, Structural Failure, John Wiley & Sons
  • 19. Yamashita M., Gotoh M., Sawairi Y., 2003, Axial crush of hollow cylindrical structures with various polygonal cross-sections Numerical simulation and experiment, Journal of Materials Processing Technology, 140, 59-64
  • 20. Zhang X., Cheng G., You Z., Zhang H., 2007, Energy absorption of axially compressed thin-walled square tubes with patterns, Thin-Walled Structures, 45, 737-746
  • 21. Zhang X., Huh H., 2010, Crushing analysis of polygonal columns and angle elements, International Journal of Impact Engineering, 37, 441-451
  • 22. Zhang X., Zhang H., 2012, Experimental and numerical investigation on crush resistance of polygonal columns and angle elements, Thin-Walled Structures, 57, 25-36
  • 23. Zhao H., Abdennadher S., 2004, On the strength enhancement under impact loading of square tubes made from rate insensitive metals, International Journal of Solids and Structures, 41, 6677-6697
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2c543280-cf74-41db-9593-34247ae78fe7
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