The energy-absorbing characteristics of tubular structures with geometric and material modifications: An overview

Applied Mechanics Reviews

Volumn 61, Issue 1-6, 2008, Pages 0208021-02080215

  Yuen, S Chung Kim ^a   Nurick, G N ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

Axial impact loading; Crashworthiness; Imperfections; Initiators; Triggers; Tubes

Indexed keywords

FILLERS; TUBULAR STEEL STRUCTURES;

AXIAL IMPACT LOADING; IMPERFECTIONS; INITIATORS; TRIGGERS; TUBES;

CRASHWORTHINESS;

EID: 59149106734     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2885138     Document Type: Review

References (128)

1. World Health Organization and World Bank, 2004, "World Report on Road Traffic Injury Prevention," Prevention, Geneva.
2. Pugsley, A. G., and Macaulay, M., 1960, "The Large Scale Crumpling of Thin Cylindrical Columns," Q. J. Mech. Appl. Math., 13(1), pp. 1-9.
3. Alexander, J. M., 1960, "An Approximate Analysis of the Collapse of Thin Cylindrical Columns," Q. J. Mech. Appl. Math., 13(1), pp. 10-15.
4. Reid, S. R., 1993, "Plastic Deformation Mechanisms in Axial Compressed Metal Tubes Used as Impact Energy Absorbers," Int. J. Mech. Sci., 35(12), pp. 1035-1052.
5. Alghamdi, A. A. A., 2001, "Collapsible Impact Energy Absorbers: An Over-view," Thin-Walled Struct., 39(2), pp. 189-213.
6. Jones, N., 2003, "Several Phenomena in Structural Impact and Structural Crashworthiness," Eur. J. Mech. A/Solids, 22(5), pp. 693-707.
7. Karagiozova, D., and Jones, N., 2001, "Influence of Stress Waves on the Dynamic Progressive and Dynamic Plastic Buckling of Cylindrical Shells," Int. J. Solids Struct., 38(38/39), pp. 6723-6749.
8. Langseth, M., Berstad, T., Hopperstad, O. S., and Clausen, A. H., 1994, "Energy Absorption in Axially Loaded Square Thin-Walled Aluminium Extrusions," Structures Under Shock Impact III (SUSI III), CMP, Southampton, pp. 401-410.
9. Langseth, M., Hopperstad, O. S., and Berstad, T., 1999, "Crashworthiness of Aluminium Extrusion: Validation of Numerical Simulation, Effect of Mass Ratio and Impact Velocity," Int. J. Impact Eng., 22(9/10), pp. 829-854.
10. Otubushin, A., 1998, "Detailed Validation of a Non-Linear Finite Element Code Using Dynamic Axial Crushing of a Square Tube," Int. J. Impact Eng., 21(5), pp. 349-368.
11. Marsolek, J., and Reimerdes, H. G., 2003, "Energy Absorption of Metallic Cylindrical Shells With Induced Non-Axisymmetric Folding Patters," Eighth International Symposium on Plasticity and Impact Mechanics, IMPLAST 2003, New Delhi, India, Mar. 16-19, Phoenix Publishing House, New Delhi, India, pp. 454-464.
12. Abah, L., Limam, A., and Dejeamrnes, M., 1998, "Effects of Cutouts on Static and Dynamic Behaviour of Square Aluminium Extrusions," Fifth International Conference on Structures Under Shock and Impact, (SUSI V), Computational Mechanics, Southampton, UK, pp. 133-142.
13. Markiewicz, E., Ducrocq, P., and Drazetic, P., 1998, "An Inverse Approach to Determine the Constitutive Model Parameters From Axial Crushing of Thin-Walled Square Tubes," Int. J. Impact Eng., 21(6), pp. 433-449.
14. Miyazaki, M., Endo, H., and Negishi, H., 1999, "Dynamic Axial Plastic Buckling of Square Tube," J. Mater. Process. Technol., 85(1/3), pp. 213-216.
15. Nannucci, P. R., Marshall, N. S., and Nurick, G. N., 1999, "A Computational Investigation of the Progressive Buckling of Square Tubes With Geometric Imperfections," Third Asia-Pacific conference on Shock and Impact Loads on Structures, Singapore, Nov. 24-26 pp. 335-342.
16. Karagiozova, D., 2003, "Velocity and Mass Sensitivity of Circular and Square Tubes Under Axial Impact," Proceedings of the Eighth International Symposium on Plasticity and Impact Mechanics (IMPLAST'2003, Phoenix Publishing House Pvt Ltd, New Delhi, pp. 403-410.
17. Karagiozova, D., 2003, "On the Dynamic Collapse of Circular and Square Tubes Under Axial Impact" Advances in Dynamics and Impact Mechanics, WIT, Southampton, pp. 1-22.
18. Karagiozova, D., 2004, "Dynamic Buckling of Elastic-Plastic Square Tubes Under Axial Impact-I: Stress Wave Propagation Phenomenon," Int. J. Impact Eng., 30(2), pp. 143-166.
19. Karagiozova, D., and Jones, N., 2004, "Dynamic Buckling of Elastic-Plastic Square Tubes Under Axial Impact-II: Structural Response," Int. J. Impact Eng., 30(2), pp. 167-192.
20. Mamalis, A. G., Manolakos, D. E., Ioannidis, M. B., Kostazos, P. K., and Chirwa, E. C., 2003, "Static and Dynamic Axial Collapse of Fibreglass Composite Thin-Walled Tubes: Finite Element Modelling of the Crush Zone," Environ. Model. Assess., 8(3), pp. 247-254.
21. Chiandussi, G., and Avalle, M., 2002, "Maximisation of the Crushing Performance of a Tubular Device by Shape Optimization," Comput. Struct., 80(27/30), pp. 2425-2432.
22. Nagel, G. M., and Thambiratnam, D. P., 2004, "Dynamic Simulation and Energy Absorption of Tapered Tubes Under Impact Loading," Environ. Model. Assess., 9(4), pp. 389-399.
23. Lust, R., 1992, "Structural Optimization With Crashworthiness Constraints," Struct. Optim., 4(2), pp. 85-89.
24. Yamazaki, K., and Han, J., 2000, "Maximization of the Crushing Energy Absorption of Cylindrical Shells," Adv. Eng. Software, 31(6), pp. 425-434.
25. Belingardi, G., and Avalle, M., 1998, "Optimization of a Passive Safety Device by Means of the Response Surface Methodology," Proceedings of the Second Integrated Design and Manufacturing in Mechanical Engineering Conference (IDMME), Compiegne, France, pp. 85-92.
26. Avalle, M., Chiandussi, G., and Belingardi, G., 2002, "Design Optimization by Response Surface Methodology: Application to Crashworthiness Design of Vehicle Structures," Struct. Multidiscip. Optim., 24(4), pp. 325-332.
27. Kim, H. S., 2002, "New Extruded Multi-Cell Aluminum Profile for Maximum Crash Energy Absorption and Weight Efficiency," Thin-Walled Struct., 40(4), pp. 311-327.
28. Theobald, M. D., and Nurick, G. N., 2005, "Numerical Investigation of the Response of Sandwich Panels Subject to Blast Loads," International Conference on Impact Loading of Lightweight Structures, WIT, Brazil, pp. 521-534.
29. Theobald, M. D., and Nurick, G. N., 2007, "Numerical Investigation of the Response of Sandwich-Type Panels Using Thin-Walled Tubes Subject to Blast Loads," Int. J. Impact Eng., 34(1), pp. 134-156.
30. Johnson, W., Soden, P. D., and Al-Hassani, S. T. S., 1977, "Inextensional Collapse of Thin-Walled Tubes Under Axial Compression," J. Strain Anal. Eng. Des., 12(4), pp. 317-330.
31. Pugsley, A. G., 1979, "On the Crumpling of Thin Tubular Struts," Q. J. Mech. Appl. Math., 32(1), pp. 1-7.
32. Abramowicz, W, 1983, "The Effective Crushing Distance in Axially Compressed Thin-Walled Metal Columns," Int. J. Impact Eng., 1(4), pp. 309-317.
33. Andrews, K. R. F., Englahd, G. L., and Ghani, E., 1983, "Classification of the Axial Collapse of Cylindrical Tubes Under Quasi-Static Loading," Int. J. Mech. Sci., 25(9/10), pp. 687-696.
34. Mamalis, A. G., and Johnson, W., 1983, "The Quasi-Static Crumpling of Thin Walled Circular Cylinders and Frusta Under Axial Compression," Int. J. Mech. Sci., 25(9/10), pp. 713-732.
35. Wierzbicki, T., and Abramowicz, W., 1983, "On the Crushing Mechanics of Thin Walled Structures," ASME J. Appl. Mech., 50(4a), pp. 727-734.
36. Abramowicz, W., and Jones, N., 1984, "Dynamic Axial Crushing of Square Tubes," Int. J. Impact Eng., 2(2), pp. 179-208.
37. Abramowicz, W., and Jones, N., 1984, "Dynamic Axial Crushing of Circular Tubes," Int. J. Impact Eng., 2(3), pp. 263-281.
38. Abramowicz, W., and Jones, N., 1985, "Static and Dynamic Axial Crushing of Circular and Square Tubes," Metal Forming and Impact Mechanics, Pergamon, Oxford, pp. 225-247.
39. Jones, N., and Abramowicz, W., 1986, "Dynamic Progressive Buckling of Circular and Square Tubes," Int. J. Impact Eng., 4(4), pp. 243-270.
40. Jones, N., 1989, Structural Impact, Cambridge University Press, Cambridge.
41. Jensen, Ø., Langseth, M., and Hopperstad, O. S., 2004, "Experimental Investigations on the Behaviour of Short to Long Square Aluminium Tubes Subjected to Axial Loading," Int. J. Impact Eng., 30(9), pp. 973-1003.
42. Thornton, P. H., and Magee, C. L., 1977, "The Interplay of Geometric and Materials Variables in Energy Absorption," ASME J. Eng. Mater. Technol., 99(2), pp. 114-120.
43. Airoldi, A., and Janszen, G., 2005, "A Design Solution for Crashworthy Landing Gear With a new Triggering Mechanism for the Plastic Collapse of Metallic Tubes," Aerosp. Sci. Technol., 9(5), pp. 445-455.
44. Surko, W., 1991, "Crushing Strength of Box Columns With Partially Damaged Plating," Int. J. Mech. Sci., 33(12), pp. 1017-1028.
45. El-Hage, H., Mallick, P. K., and Zamani, N., 2005, "A Numerical Study on the Quasi-Static Axial Crush Characteristics of Square Aluminum Tubes With Chamfering and Other Triggering Mechanisms," Environ. Model. Assess., 10(2), pp. 183-195.
46. Montanini, R., Belingardi, G., and Vadori, R., 1977, "Dynamic Axial Crushing of Tiggered Aluminium Thin-Walled Columns," 30th International Symposium on Automotive Technology and Automation, Florence, Italy, pp. 437-444.
47. Lee, S., Hahn, C., Rhee, M., and Oh, J. E., 1999, "Effect of Triggering on the Energy Absorption Capacity of Axially Compressed Aluminium Tubes," Mater. Des., 20(1), pp. 31-40.
48. DiPaolo, B. P., Monteiro, P. J. M., and Gronsky, R., 2004, "Quasi-Static Axial Crush Response of a Thin-Wall, Stainless Steel Box Component," Int. J. Solids Struct, 41(14), pp. 3707-3733.
49. Sigalas, I., Kumosa, M., and Hull, D., 1991, 'Trigger Mechanisms in Energy-Absorbing Glass Cloth/Epoxy Tubes," Compos. Sci. Technol., 40(3), pp. 265-287.
50. Mamalis, A. G., Manolakos, D. E., Viegelahn, G. L., Vaxevanidis, N. M., and Johnson, W., 1986, "The Inextensional Collapse of Grooved Thin-Walled Cylinders of PVC Under Axial Loading," Int. J. Impact Eng., 4(1), pp. 41-56.
51. Mamalis, A. G., Manolakos, D. E., Ioannidis, M. B., Kostazos, P. K., and Kastanias, S. N., 2003, "Numerical Modelling of the Axial Plastic Collapse of Externally Grooved Steel Thin-Walled Tubes," Environ. Model. Assess., 8(6), pp. 583-590.
52. Mamalis, A. G., Manolakos, D. E., Ioannidis, M. B., Kostazos, P. K., Goulielmos, A., and Demosthenous, G. A., 2004, "Finite Element Simulation of Internally Grooved Thin-Wall PVC Tubes Subjected to Axial Plastic Collapse," Environ. Model. Assess., 9(4), pp. 433-441.
53. Daneshi, G. H., and Hosseinipour, S. J., 2002, "Elastic-Plastic Theory for Initial Buckling Load of Thin-Walled Grooved Tubes Under Axial Compression," J. Mater. Process. Technol., 125-126, pp. 826-832.
54. Daneshi, G. H., and Hosseinipour, S. J., 2003, "Grooves Effect on Crashworthiness Characteristics of Thin-Walled Tubes Under Axial Compression," Mater. Des., 23(7), pp. 611-617.
55. Hosseinipour, S. J., 2003, "Mathematical Model for Thin-Walled Grooved Tubes Under Axial Compression," Mater. Des., 24(6), pp. 463-469.
56. Hosseinipour, S. J., and Daneshi, G. H., 2003, "Energy Absorbtion and Mean Crushing Load of Thin-Walled Grooved Tubes Under Axial Compression," Thin-Walled Struct., 41(1), pp. 31-46.
57. Thornton, P. H., and Dharan, C. K. H., 1975, "The Dynamics of Structural Collapse," Mater. Sci. Eng., 18(1), pp. 97-120.
58. Mamalis, A. G., Viegelahn, G. L., Manolakos, D. E., and Johnson, W., 1986, "Experimental Investigation Into the Axial Plastic Collapse of Steel Thin-Walled Grooved Tubes," Int. J. Impact Eng., 4(2), pp. 117-126.
59. Singace, A. A., and El-Sobky, H., 1986, "Behaviour of Axially Crushed Corrugated Tubes," Int. J. Mech. Sci., 39(3), pp. 249-268.
60. Korneck, H., 1992, "An Investigation Into the Response of Square Box Columns to Axial Loading," Bsc thesis, University of Cape Town.
61. Marshall, N., 1995, "Active Control of Passive Safety in Passenger Motor Vehicles," MSc thesis, University of Cape Town.
62. Marshall, N., and Nurick, G. N., 1998, "The Effect of Induced Imperfections on the Formation of the First Lobe of Symmetric Progressive Buckling of Thin-Walled Square Tubes," Structures Under Shock Impact V (SUSI V), Computational Mechanics Publications, Southampton, pp. 155-168.
63. Gupta, N. K., and Gupta, S. K., 1993, "Effect of Annealing Size and Cutouts on Axial Collapse Behaviour of Circular Tubes," Int. J. Mech. Sci., 35(7), pp. 597-613.
64. Gupta, N. K., 1998, "Some Aspects of Axial Collapse of Cylindrical Thin-Walled Tubes," Thin-Walled Struct., 32(1/3), pp. 111-126.
65. Toda, S., 1983, "Buckling of Cylinders With Cut Outs Under Axial Compression," Exp. Mech., 23, pp. 414-417.
66. Kormi, K., Webb, D. C., and Montague, P., 1993, "Crash Behaviour of Circular Tubes With Large Side Openings," Int. J. Mech. Sci., 35(3/4), pp. 193-208.
67. Meng, Q., Al-Hassani, S. T. S., and Soden, P. D., 1983, "Axial Crushing of Square Tubes," Int. J. Mech. Sci., 25(9/10), pp. 747-773.
68. Li, S., and Reid, S. R., 1990, "Relationship Between Elastic Buckling of Square Tubes and Rectangular Plates," ASME J. Appl. Mech., 57, pp. 969-973.
69. Arnold, B., and Altenhof, W., 2004, "Experimental Observations on the Crush Characteristics of AA6061 T4 and T6 Structural Square Tubes With and Without Circular Discontinuities," Int. J. Crashworthiness, 9(1), pp. 73-87.
70. Simic, G., Lucanin, V., and Milkovic, D., 2006, "Elements of Passive Safety of Railway Vehicles in Collision," Int. J. Crashworthiness, 11(4), pp. 357-369.
71. Cheng, Q., Altenhof, W., and Li, L., 2006, "Experimental Investigations on the Crush Behaviour of AA6061-T6 Aluminium Square Tubes With Different Types of Through-Hole Discontinuities," Thin-Walled Struct., 44(4), pp. 441-454.
72. Kormi, K., Webb, D. C., Oguibe, C. N., and Al-Hassani, S. T. S., 1995, "The Dynamic and Static Axial Crushing of Axial Stiffened Square Tubes - A Comparison Between Numerical and Experimental Results, Crashworthiness and Occupant Protection in Transportation Systems," ASME AMD-VoI. 210/BED-Vol. 30, pp. 143-160.
73. Jones, N., and Papageorgiou, E. A., 1982, "Dynamic Axial Plastic Buckling of Stringer Stiffened Cylindrical Shells," Int. J. Mech. Sci., 24(1), pp. 1-20
74. Jones, N., and Birch, R. S., 1990, "Dynamic and Static Axial Crushing of Axially Stiffened Square Tubes," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 204, pp. 293-310.
75. Birch, R. S., and Jones, N., 1990, "Dynamic and Static Axial Crushing of Axially Stiffened Cylindrical Shells," Thin-Walled Struct., 9(1/4), pp. 29-60.
76. White, M. D., and Jones, N., 1999, "Experimental Quasi-Static Axial Crushing of Top-Hat and Double-Hat Thin Walled Sections," Int. J. Mech. Sci., 41(2), pp. 179-208.
77. White, M. D., Jones, N., and Abramowicz, W., 1999, "A Theoretical Analysis for the Quasi-Static Axial Crushing of Top-Hat and Double-Hat Thin Walled Sections," Int. J. Mech. Sci., 41(2), pp. 209-233.
78. Schneider, F., and Jones, N., 2003, "Influence of Spot-Weld Failure on Crushing of Thin-Walled Structural Sections," Int. J. Mech. Sci., 45(12), pp. 2061-2081.
79. Tarigopula, V., Langseth, M., Hopperstad, O. S., and Cloete, T. J., 2006, "Axial Crushing of Thin-Walled High-Strength Steel Sections," Int. J. Impact Eng., 32(5), pp. 847-882.
80. Talonen, J., and Hähninen, H., 2006, "Effect of Tensile Properties on the Energy-Absorbing Capacity of Weld-Bonded Austenitic Stainless Steel Profiles," Int. J. Crashworthiness, 11(4), pp. 371-378.
81. Gibson, L. J., and Ashby, M. F., 1997, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge.
82. Hanssen, A. G., Langseth, M., and Hopperstad, O. S., 2000, "Axial Crushing of Aluminium Columns With Aluminium Foam Filler," Seventh International Symposium on Structural Failure and Plasticity (IMPLAST 2000), Melbourne, Australia, Oct. 4-6, pp. 401-407.
83. Reddy, T. Y., and Wall, R. J., 1988, "Axial Compression of Foam-Filled Thin-Walled Circular Tubes," Int. J. Impact Eng., 7(2), pp. 151-166.
84. Toksoy, A. K., and Güden, M., 2005, "The Strengthening Effect of Polystyrene Foam Filling in Aluminum Thin-Walled Cylindrical Tubes," Thin-Walled Struct., 43(3), pp. 333-350.
85. Thornton, P. H., 2005, "Energy Absorption by Foam Filled Structures", SAE Paper No. 800081.
86. Lampinen, B. E., and Jeryan, R. A., 1982, "Effectiveness of Polyurethane Foam in Energy Absorption Structures," SAE Technical Paper Series 820494.
87. Reid, S. R., Reddy, T. Y., and Gray, M. D., 1986, "Static and Dynamic Axial Crushing of Foam-Filled Sheet Metal Tubes," Int. J. Mech. Sci., 28(5), pp. 295-322.
88. Abramowicz, W., and Wierzbicki, T., 1988, "Axial Crushing of Foam-Filled Columns," Int. J. Mech. Sci., 30(3/4), pp. 263-271.
89. Ashby, M. F., 1983, "The Mechanical Properties of Cellular Solids," Metall. Trans. A, 14A, pp. 1755-1769.
90. Gibson, L. J., and Ashby, M. F., 1988, Cellular Solids: Structure and Properties, Oxford: Pergamon Press.
91. Maiti, S. K., Gibson, L. J., and Ashby, M. F., 1984, "Deformation and Energy Absorption Diagrams for Cellular Solids," Acta Metall., 32(11), pp. 1963-1975.
92. Kunze, H. D., Baumeister, J., Banhart, J., and Weber, M., 1993, "P/M Technology for the Production of Metal Foams," Powder Metall., 25(4), pp. 182-185.
93. Saniosa, S., and Wierzbicki, T., 1997, "Effect of an Ultralight Metal Filler on the Bending Collapse Behaviour of Thin-Walled Prismatic Columns," Int. J. Mech. Sci., 41(8), pp. 995-1019.
94. Haussen, A. G., Langseth, M., and Hopperstad, O. S., 1999, "Static Crushing of Square Aluminium Extrusions With Aluminium Foam Filler," Int. J. Mech. Sci., 41(8), pp. 967-993.
95. Hanssen, A. G., Langseth, M., and Hopperstad, O. S., 2000, "Static and Dynamic Crushing of Square Aluminium Extrusions With Aluminium Foam Filler," Int. J. Impact Eng., 24(4), pp. 347-383.
96. Hanssen, A, G., Langseth, M., and Hopperstad, O. S., 2000, "Static and Dynamic Crushing of Circular Aluminium Extrusions With Aluminium Foam Filler," Int. J. Impact Eng., 24(5), pp. 475-507.
97. Hanssen, A. G., Langseth, M., and Hopperstad, O. S., 2001, "Optimum Design for Energy Absorption of Square Aluminium Columns With Aluminium Foam Filler," Int. J. Mech. Sci., 43(1), pp. 153-176.
98. Langseth, M., Hopperstad, O. S., and Hanssen, A. G., 1998, "Crash Behaviour of Thin-Walled Aluminium Members," Thin-Walled Struct., 32(1/3), pp. 127-150.
99. Santosa, S. P., Wierzbicki, T., Hanssen, A. G., and Langseth, M., 2000, "Experimental and Numerical Studies of Foam-Filled Sections," Int. J. Impact Eng., 24(5), pp. 509-534.
100. Seitzberger, M., Rammerstorfer, R. F., Degischer, H. P., and Gradinger, R., 1997, "Crushing of Axially Compressed Steel Tubes Filled With Aluminium Foam," Acta Mech., 125, pp. 93-105.
101. Santosa, S., and Wierzbicki, T., 1998, "Crush Behaviour of Box Columns Filled With Aluminium Honeycomb or Foam," Comput. Struct, 68(4), pp. 343-367.
102. Seitzberger, M., Rammerstorfer, F. G., Gradinger, R., Degischer, H. P., Blaimschein, M., and Walch, C., 2000, "Experimental Studies on the Quasi-Static Axial Crushing of Steel Columns Filled With Aluminium Foam," Int. J. Solids Struct, 37(30), pp. 4125-4147.
103. Hanssen, A. G., Hopperstad, O. S., and Langseth, M., 1998, "Crushing of Square Columns with Aluminium Foam Filler-Numerical Analyses," Structures Under Shock and Impact V (SUSI V), Computational Mechanics Publications, Southampton, UK.
104. Meguid, S. A., Stranart, J. C., and Heyerman, J., 2002, "FE Modelling of Ultralight Foam-Filled Structures," Int. J. Comput. Appl. Technol., 15(4/5), pp. 211-217.
105. Ku, J. H., Seo, K. S., Park, S. W., and Kim, Y. J., 2001, "Axial Crushing Behaviour of the Intermittent Tack-Welded Cylindrical Tubes," Int. J. Mech. Sci., 43(2), pp. 521-542.
106. Reddy, T. Y., and Al-Hassani, S. T. S., 1993, "Axial Crushing of Wood-Filled Square Metal Tubes," Int. J. Mech. Sci., 35(3/4), pp. 231-246.
107. Singace, A. A., 2000, "Collapse Behaviour of Plastic Tubes Filled With Wood Sawdust," Thin-Walled Struct., 37(2), pp. 163-187.
108. Zhao, X. L., and Grzebieta, R. H., 2002, "Strength and Ductility of Concrete Filled Double Skin (SHS Inner and SHS Outer) Tubes," Thin-Walled Struct., 40(2), pp. 199-213.
109. Elchalakani, M., Zhao, X. L., and Grzebieta, R. H., 2002, "Tests on Concrete Filled Double-Skin (CHS Outer and SHS Inner) Composite Short Columns Under Axial Compression," Thin-Walled Struct., 40(5), pp. 415-441.
110. Zhao, X. L., Han, B., and Grzebieta, R. H., 2002, "Plastic Mechanism Analysis of Concrete-Filled Double-Skin (SHS Inner and SHS Outer) Stub Columns," Thin-Walled Struct., 40(10), pp. 815-833.
111. Hamada, H., Coppola, J. C., Hull, D., Maekawa, Z., and Sato, H., 1992, "Comparison of Energy Absorption of Carbon/Epoxy and Carbon/PEEK Composite Tubes," Composites, 23(4), pp. 245-252.
112. Mamalis, A. G., Manolakos, D. E., and Viegelahn, G. L., 1990, "Crashworthy Behaviour of Thin-Walled Tubes of Fibreglass Composite Material Subjected to Axial Loading," J. Compos. Mater., 24, pp. 72-90.
113. Mamalis, A. G., Manolakos, D. E., Demosthenous, G. A., and Ioannidis, M. B., 1997, "The Static and Dynamic Axial Crumbling of Thin-Walled Fibreglass Composite Square Tubes," Composites, Part B, 28B, pp. 439-451.
114. Farley, G. L., and Jones, R. M., 1992, "Crushing Characteristics of Continuous Fibre-Reinforced Composite Tube," J. Compos. Mater, 26(1), pp. 37-50.
115. Farley, G. L., 1983, "Energy Absorption of Composite Materials," J. Compos. Mater., 17, pp. 267-279.
116. Thornton, P. H., 1979, "Energy Absorption in Composite Structures," J. Compos. Mater., 13, pp. 247-262.
117. Thornton, P. H., and Edward, P. J., 1982, "Energy Absorption in Composite Tubes," J. Compos. Mater., 16, pp. 521-545.
118. Gupta, N. K., and Velmurugan, R., 1997, "An Analysis of Axial Crushing of Composite Tubes," J. Compos. Mater., 31(13), pp. 1262-1286.
119. Schmueser, D. W., and Wicklie, L. E., 1987, "Impact Energy Absorption of Continuous Fiber Composite Tubes," ASME J. Eng. Mater. Technol., 109(1), pp. 72-77.
120. Wang, X. G., Bloch, J. A., and Cesari, D., 1991, Mechanics and Mechanisms of Damage in Composites and Multi-Materials, Mechanical Engineering, London, pp. 351-360.
121. Hanefi, E. H., and Wierzbicki, T., 1996, "Axial Resistance and Energy Absorption of Externally Reinforced Metal Tubes," Composites, Part B, 27(5), pp. 387-394.
122. Song, H. W., Wan, Z. M., Xie, Z. M., and Du, X. W., 2000, "Axial Impact Behaviour and Energy Absorption Efficiency of Composite Wrapped Metal Tubes," Int. J. Impact Eng., 24(4), pp. 385-401.
123. Bouchet, J., Jacquelin, E., and Hamelin, P., 2000, "Static and Dynamic Behavior of Combined Composite Aluminium Tube for Automotive Applications," Compos. Sci. Technol., 60(10), pp. 1891-1900.
124. Bouchet, J., Jacquelin, E., and Hamelin, P., 2002, "Dynamic Axial Crushing of Combined Composite Aluminium Tube: The Role of Both Reinforcement and Surface Treatments," Compos. Struct, 56(1), pp. 87-96.
125. Shin, K. C., Lee, J. J., Kim, K. H., Song, M. C., and Huh, J. S., 2002, "Axial Crush and Bending Collapse of an Aluminum/GFRP Hybrid Square Tube and Its Energy Absorption Capability," Compos. Struct., 57(1/4), pp. 279-287.
126. El-Hage, H., Mallick, P. K., and Zamani, N., 2004, "Numerical Modelling of Quasi-Static Axial Crush of Square Aluminium-Composite Hybrid Tubes," Int. J. Crashworthiness, 9(6), pp. 653-664.
127. Lu, G., and Yu, T., 2003, Energy Absorption of Structures and Materials, Woodhead Publishing Limited, Cambridge, UK, pp. 144-173.
128. Thornton, P. H., Mahmood, H. R, and Magee, C. L., 1983, "Energy Absoprtion by Structural Collapse," Structural Crashworthiness, Butterworths, London, pp. 96-117.