Alghamdi, A.A.A., "Collapsible Impact Energy Absorbers: An Overview," Thin-Walled Structures, Vol. 39, pp. 189-213, (2001).
[2] Guillow, S.R., Lu, G., and Grzebieta, R.H., "Quasi-static Axial Compression of Thin-walled Circular Aluminum Tubes," International Journal of Mechanical Sciences, Vol. 43, pp. 2103-2123, (2001).
[3] Karagiozava, D., and Jones, N., "Inertia Effects in Axisymmetrically Deformed Cylindrical Shells under Axial Impact," International Journal of Impact Engineering, Vol. 24, pp. 1083-1115, (2000).
[4] Hsu,S.S., and Jones, N., "Quasi-static and Dynamic Axial Crushing of Thin-walled Circular Stainless Steel, Mild Steel and Aluminum Alloy Tubes," Journal of Crashworthiness ,Vol. 9, No. 2, pp.195-217, (2004).
[5] Shakeri, M., Mirzaeifar, R., and Salehghaffari, S., "New Insights into the Collapsing of Cylindrical Thin-walled Tubes under Axial Impact Load," Journal of Mechanical Engineering Science, Vol. 221, No. 8, pp. 869-886, (2007).
[6] Shakeri, M., .Beiglou, A.A., and Ghajari, M., "Numerical Analysis of Axisymmetric Collapse of Cylindrical Tubes under Axial Loading," in Proceedings of the Seventh International Conference of Computational Structures Technology (CST), Civil-Compress, Lisbon, Portugal, pp. 250, (2004).
[7] Yamazaki, K., and Han, J., "Maximization of the Crushing Energy Absorption of Cylindrical Shells," Advances in Engineering Software, Vol. 31, pp. 425-434, (2000).
[8] Zarei, H.R., and Kroger, M., "Multi-objective Crash-worthiness Optimization of Circular Aluminum Tubes," Thin-Walled Structures, Vol. 44, pp. 301-308, (2006).
[9] Hou, S., Li, Q., Long, S., Yang, X., and Li, W., "Design Optimization of Regular Hexagonal Thin-walled Columns with Crashworthiness Criteria," Finite Element Analysis Design, Vol. 43, pp. 555–565, (2007).
[10] Liu, Y., "Crashworthiness Design of Multi-corner Thin-Walled Columns," Thin-walled Structures, Vol. 46, pp. 1329–1337, (2008).
[11] Lanzi, L., Bisagni, S., and Ricci, S., "Neural Network Systems to Reproduce Crash Behavior of Structural Components," Computer & Structures, Vol. 82, pp .93-108, (2004).
[12] Mirzaei, M., Shakeri, M., Seddighi, M., and Seyedi, S.E., "Using of Neural Network and Genetic Algorithm in Multi-objective Optimization of Collapsible Energy Absorbers" in: 2th International Conference on Engineering Optimization, Lisbon, Portugal, pp. 01556, (2010).
[13] Lanzi, L., Castelleti, L.M.L., and Anghileri, M., "Multi-objective Optimisation of Composite Absorber Shape under Crashworthiness Requirements," Computer & Structures. Vol. 65, pp. 433-441, (2004).
[14] Fang, H., Rais-Rohani, M., Liu, Z., and Horstemeyer, M.F., "A Comparative Study of Metamodeling Methods for Multi-objective Crashworthiness Optimization," Composite Structures, Vol. 83, (25–26), pp. 2121–2136, (2005).
[15] Stander, N., Roux, W., Giger, M., Redhe, M., Fedorova, N., and Haarhoff, J., "A Comparison of Metamodeling Techniques for Crashworthiness Optimization," in: 10th AIAA/ISSMO Multidisciplinary Analysis & Optimization Conference, Albany, New York, 1–2 (AIAA 2004-4489), (2004).
[16] Deb, K., "A Fast and Elitist Multi-objective Genetic Algorithm: NSGA-II," IEEE Trans Evolutionary Comput, Vol. 6, No. 2, pp. 182–197, (2002).
[17] Rosenblatt, F., "The Perceptron: a Probabilistic Model for Information Storage and Organization in the Brain," Psychological Review, Vol. 65, pp. 386-408, (1986).
[18] Rumelhart, D.E., Hinton, G.E., and Williams, R.J., "Learning Representations by Back-propagation Errors," Nature, Vol. 323, pp. 533-536, (1986).
[19] Hagan, M.T., Demuth, H.B., and Beale, M., "Neural Networks Design," PWS Publishing Company, Boston, MA, (1996).
[20] Deb, K., "Multi-objective Optimization using Evolutionary Algorithms," Springer-Verlag Berlin Heidelberg, (2001).
[21] Jiang, Z., and Gu, M., "Optimization of a Fender Structure for the Crashworthiness Design," Materials and Design, Vol. 31, pp. 1085-1095, (2010).