Dynamic and Quasi-Static Plastic Behavior of Single and Nested Thin-Walled Square Tubes Under Lateral Loading

Journal of Solid Mechanics

مقاله 7، دوره 15، شماره 1، خرداد 2023، صفحه 90-108   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2022.1947318.1721

نویسندگان

B Shabani¹؛ S Gohari Rad²؛ A Alijani^{* 1}؛ R Rajabiehfard²

¹Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran

²Department of Mechanical Engineering, Rasht Branch, Islamic Azad University, Rasht, Iran

چکیده

This paper investigates the dynamic and quasi-static plastic behavior of single and nested mild steel square tubes under lateral loadings experimentally and numerically. The dynamic experimental tests are carried out using a gas gun and the dynamic force-time responses are measured with a load cell. Also, the quasi-static experimental tests are performed in a universal test machine. The dynamic experimental tests are also simulated with the finite element software Abaqus. Furthermore, the square tubes’ combinations in the nested systems are investigated in the present work. It is revealed that the amount of peak load decreases significantly when the form of the single tube changes from square to lozenge. It is also observed that in the nested tube structures, by changing each of the outer or inner tubes or both of them from the square form to lozenge one, the amount of peak load decreases meanwhile the energy absorption capacity decreases too, which is not desirable for energy absorbers. By comparing the impact results of both the single and nested square tubes which have the same mass, it can result that the nested square tubes behave better as energy absorbers compared with the single tubes.

کلیدواژه‌ها

Single and nested square tubes؛ High rate and quasi-Static lateral loading؛ Experimental and numerical investigation؛ Energy absorption؛ Gas gun

مراجع

1. Guler M.A., Cerit M.E., Bayram B., Gerceker B., Karakaya E., 2010, The effect of geometrical parameters on the energy absorption characteristics of thin-walled structures under axial impact loading, International Journal of Crashworthiness 15(4): 377-390.
2. Pirmohammad S., Marzdashti S.E., 2016, Crushing behavior of new designed multi-cell members subjected to axial and oblique quasi-static loads, Thin-Walled Structures 108: 291-304.
3. Gao Q., Wang L., Wang Y., Wang C., 2016, Crushing analysis and multiobjective crashworthiness optimization of foam-filled ellipse tubes under oblique impact loading, Thin-Walled Structures 100: 105-112.
4. Nia A.A., Nejad K.F., Badnava H., Farhoudi H.R., 2012, Effects of buckling initiators on mechanical behavior of thin-walled square tubes subjected to oblique loading, Thin-Walled Structures 59: 87-96.
5. Abramowicz W., Jones N., 1986, Dynamic progressive buckling of circular and square tubes, International Journal of Impact Engineering 4(4): 243-270.
6. Simhachalam B., Srinivas K., Rao C.L., 2014, Energy absorption characteristics of aluminium alloy AA7XXX and AA6061 tubes subjected to static and dynamic axial load, International Journal of Crashworthiness 19(2): 139-152.
7. Yalçın M.M., Genel K., 2019, On the axial crush performance of PVC foam-filled aluminum/CFRP hybrid circular tube, Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23(6): 1154-1162.
8. Kahraman Y., Akdikmen O., 2021, Experimental investigation on deformation behavior and energy absorption capability of nested steel tubes under lateral loading, Engineering Science and Technology, An International Journal 24(2): 579-588.
9. Shabani B., Rad S.G., Alijani A., Darvizeh A., Rajabiehfard R., 2021, Dynamic plastic behavior of single and nested rings under lateral impact, Thin-Walled Structures 160: 107373.
10. Morris E., Olabi A.G., Hashmi M.S.J., 2006, Analysis of nested tube type energy absorbers with different indenters and exterior constraints, Thin-walled structures 44(8): 872-885.
11. Gao Q., Wang L., Wang Y., Wang C., 2017, Multi-objective optimization of a tapered elliptical tube under oblique impact loading, Proceedings of the Institution of Mechanical Engineers, Part D Journal of Automobile Engineering 231(14): 1978-1988.
12. Olabi A.G., Morris E., Hashmi M.S.J., Gilchrist M.D., 2008, Optimised design of nested oblong tube energy absorbers under lateral impact loading, International Journal of Impact Engineering 35(1): 10-26.
13. Wu L., Carney III J.F., 1998, Experimental analyses of collapse behaviors of braced elliptical tubes under lateral compression, International Journal of Mechanical Sciences 40(8): 761-777.
14. Tran T.N., Ton T.N.T., 2016, Lateral crushing behaviour and theoretical prediction of thin-walled rectangular and square tubes, Composite Structures 154: 374-384.
15. Zhang B., Wang L., Zhang J., Jiang Y., Wang W., Wu G., 2021, Deformation and energy absorption properties of cenosphere/aluminum syntactic foam-filled circular tubes under lateral quasi-static compression, International Journal of Mechanical Sciences 192: 106126.
16. Wang H., Yang J., Liu H., Sun Y., Yu T.X., 2015, Internally nested circular tube system subjected to lateral impact loading, Thin-Walled Structures 91: 72-81.
17. Tran T., 2018, A study on nested two-tube structures subjected to lateral crushing, Thin-Walled Structures 129: 418-428.
18. Yang X., Ma J., Sun Y., Yang J., 2019, An internally nested circular-elliptical tube system for energy absorption, Thin-Walled Structures 139: 281-293.
19. Baroutaji A., Gilchrist M.D., Olabi A.G., 2016, Quasi-static, impact and energy absorption of internally nested tubes subjected to lateral loading, Thin-Walled Structures 98: 337-350.
20. Xu B., Wang C., Xu W., 2019, An efficient energy absorber based on fourfold-tube nested circular tube system, Thin-Walled Structures 137: 143-150.
21. Yu Z.L., Xue P., Chen Z., 2017, Nested tube system applicable to protective structures against blast shock, International Journal of Impact Engineering 102: 129-139.
22. Hu J., Lu G., Yang H., Yu T.X., Xu J., 2017, Dynamic response of internally nested hemispherical shell system to impact loading, Thin-Walled Structures 120: 29-37.
23. Remennikov A.M., Kong S.Y., Uy B., 2011, Response of foam-and concrete-filled square steel tubes under low-velocity impact loading, Journal of Performance of Constructed Facilities 25(5): 373-381.
24. Linul E., Movahedi N., Marsavina L., 2018, On the lateral compressive behavior of empty and ex-situ aluminum foam-filled tubes at high temperature, Materials 11(4): 554.
25. Hanssen A.G., Hopperstad O.S., Langseth M., 2001, Design of aluminium foam-filled crash boxes of square and circular cross-sections, International Journal of Crashworthiness 6(2): 177-188.
26. Hou S., Li Q., Long S., Yang X., Li W., 2009, Crashworthiness design for foam filled thin-wall structures, Materials & Design 30(6): 2024-2032.
27. Gupta N.K., Sekhon G.S., Gupta P.K., 2001, A study of lateral collapse of square and rectangular metallic tubes, Thin-Walled Structures 39(9): 745-772.
28. Gupta N.K., Sekhon G.S., Gupta P.K., 2005, Study of lateral compression of round metallic tubes, Thin-Walled Structures 43(6): 895-922.
29. Baroutaji A., Gilchrist M.D., Smyth D., Olabi A.G., 2015, Crush analysis and multi-objective optimization design for circular tube under quasi-static lateral loading, Thin-Walled Structures 86: 121-131.
30. Sadeghi H., Davey K., Darvizeh R., Rajabiehfard R., Darvizeh A., 2020, An investigation into finite similitude for high-rate loading processes: Advantages in comparison to dimensional analysis and its practical implementation, International Journal of Impact Engineering 140: 103-554.
31. Sadeghi H., Davey K., Darvizeh R., Darvizeh A., 2019, A scaled framework for strain rate sensitive structures subjected to high rate impact loading, International Journal of Impact Engineering 125: 229-245.
32. Sadeghi H., Davey K., Darvizeh R., Darvizeh A., 2019, Scaled models for failure under impact loading, International Journal of Impact Engineering 129: 36-56.
33. Davey K., Sadeghi H., Darvizeh R., Golbaf A., Darvizeh A., 2021, A finite similitude approach to scaled impact mechanics, International Journal of Impact Engineering 148: 103744.
34. Senthil K., Iqbal M.A., Bhargava P., Gupta N.K., 2017, Experimental and numerical studies on mild steel plates against 7.62 API projectiles, Procedia Engineering 173: 369-374.
35. Rajabiehfard R., Darvizeh A., Darvizeh M., Ansari R., Alitavoli M., Sadeghi H., 2016, Theoretical and experimental analysis of elastic–plastic cylindrical shells under two types of axial impacts, Thin-Walled Structures 107: 315-326.
36. Rajabiehfard R., Darvizeh A., Darvizeh M., Ansari R., Sadeghi H., 2015, Effects of boundary and loading conditions on the dynamic plastic buckling of cylindrical shells under axial impact, Modares Mechanical Engineering 15(2): 281-288.
37. Rajabieh Fard R., Darvizeh A., Darvizeh M., Ansari R., Sadeghi H., 2016, Effect of strain hardening modulus on buckling of elastic-plastic cylindrical shells, due to the axial impact, Iranian Journal of Mechanical Engineering 18(1): 91-114.
38. Alitavoli M., Sadeghi H., Mosavi S.M., Rajabiehfard R., 2018, Experimental and numerical analysis of dynamic plastic behavior of long metallic bars under axial impact, Computations and Simulations in Mechanical Science 1(1): 1-11.
39. Chen W. , Wierzbicki T., 2001, Relative merits of single-cell, multi-cell and foam-filled thin-walled structures in energy absorption, Thin-Walled Structures 39: 287-306 .
40. Tran T., Hou S., Han X., Nguyen N., Chau M., 2014, Theoretical prediction and crashwor- thiness optimization of multi-cell square tubes under oblique impact loading, International Journalof Mechanical Sciences 89: 177-193 .
41. Abramowicz W., Jones N., 1984, Dynamic axial crushing of square tubes, International Journalof Impact Engineering 2:179-208 .
42. Fan H., Luo Y., Yang F., Li W., 2018, Approaching perfect energy absorption through struc- tural hierarchy, International Journal of Engineering Science 130: 12-32 .