References
- H.R. Zarei and M. Kröger, Multiobjective crashworthiness optimization of circular aluminum tubes, Thin-Walled Struct., vol. 44, no. 3, pp. 301–308, 2006. DOI: https://doi.org/10.1016/j.tws.2006.03.010.
- H.R. Zarei and M. Kröger, Optimization of the foam-filled aluminum tubes for crush box application, Thin-Walled Struct., vol. 46, no. 2, pp. 214–221, 2008. DOI: https://doi.org/10.1016/j.tws.2007.07.016.
- S. Yang and C. Qi, Multiobjective optimization for empty and foam-filled square columns under oblique impact loading, Int. J. Impact Eng., vol. 54, pp. 177–191, 2013. DOI: https://doi.org/10.1016/j.ijimpeng.2012.11.009.
- O. Mohammadiha, H. Beheshti, and F.H. Aboutalebi, Multi-objective optimisation of functionally graded honeycomb filled crash boxes under oblique impact loading, Int. J. Crashworth., vol. 20, no. 1, pp. 44–59, 2015. DOI: https://doi.org/10.1080/13588265.2014.970398.
- F. Ma, Y. Zhao, G. Wang, L. Wu, and Y. Pu, Crashworthiness optimization design of thin-walled tube filled with re-entrant triangles honeycombs, Automot. Innov., vol. 2, no. 1, pp. 1–13, 2019. DOI: https://doi.org/10.1007/s42154-019-00051-7.
- T. Tran, S. Hou, X. Han, and M. Chau, Crushing analysis and numerical optimization of angle element structures under axial impact loading, Compos. Struct., vol. 119, pp. 422–435, 2015. DOI: https://doi.org/10.1016/j.compstruct.2014.09.019.
- E. Acar, M. Altin, and M.A. Güler, Evaluation of various multi-cell design concepts for crashworthiness design of thin-walled aluminum tubes, Thin-Walled Struct., vol. 142, pp. 227–235, 2019. DOI: https://doi.org/10.1016/j.tws.2019.05.012.
- H. Nikkhah, A. Baroutaji, and A.G. Olabi, Crashworthiness design and optimisation of windowed tubes under axial impact loading, Thin-Walled Struct., vol. 142, pp. 132–148, 2019. DOI: https://doi.org/10.1016/j.tws.2019.04.052.
- G. Zhou, Z.-D. Ma, G. Li, A. Cheng, L. Duan, and W. Zhao, Design optimization of a novel NPR crash box based on multi-objective genetic algorithm, Struct. Multidisc. Optim., vol. 54, no. 3, pp. 673–684, 2016. DOI: https://doi.org/10.1007/s00158-016-1452-z.
- N.K. Gupta and S.K. Gupta, Effect of annealing, size and cut-outs on axial collapse behaviour of circular tubes, Int. J. Mech. Sci., vol. 35, no. 7, pp. 597–613, 1993. DOI: https://doi.org/10.1016/0020-7403(93)90004-E.
- M. Emadi, H. Beheshti, M. Heidari-Rarani, and F.H. Aboutalebi, Experimental study of collapse mode and crashworthiness response of tempered and annealed aluminum tubes under axial compression, J. Mech. Sci. Technol., vol. 33, no. 5, pp. 2067–2074, 2019. DOI: https://doi.org/10.1007/s12206-019-0410-2.
- G.L. Farley and R.M. Jones, Crushing characteristics of continuous fiber-reinforced composite tubes, J. Compos. Mater., vol. 26, no. 1, pp. 37–50, 1992. DOI: https://doi.org/10.1177/002199839202600103.
- L. Lanzi, L.M.L. Castelletti, and M. Anghileri, Multi-objective optimisation of composite absorber shape under crashworthiness requirements, Compos. Struct., vol. 65, no. 3-4, pp. 433–441, 2004. DOI: https://doi.org/10.1016/j.compstruct.2003.12.005.
- H. Zarei, M. Kröger, and H. Albertsen, An experimental and numerical crashworthiness investigation of thermoplastic composite crash boxes, Compos. Struct., vol. 85, no. 3, pp. 245–257, 2008. DOI: https://doi.org/10.1016/j.compstruct.2007.10.028.
- J. Paz, J. Díaz, L. Romera, and M. Costas, Crushing analysis and multi-objective crashworthiness optimization of GFRP honeycomb-filled energy absorption devices, Finite Elem. Anal. Des., vol. 91, pp. 30–39, 2014. DOI: https://doi.org/10.1016/j.finel.2014.07.006.
- Z. Zhang, W. Sun, Y. Zhao, and S. Hou, Crashworthiness of different composite tubes by experiments and simulations, Compos. Part B Eng., vol. 143, pp. 86–95, 2018. DOI: https://doi.org/10.1016/j.compositesb.2018.01.021.
- S. Duan, Y. Tao, X. Han, X. Yang, S. Hou, and Z. Hu, Investigation on structure optimization of crashworthiness of fiber reinforced polymers materials, Compos. Part B Eng., vol. 60, pp. 471–478, 2014. DOI: https://doi.org/10.1016/j.compositesb.2013.12.062.
- S.H. Hesse, D.-J. Lukaszewicz, and F. Duddeck, A method to reduce design complexity of automotive composite structures with respect to crashworthiness, Compos. Struct., vol. 129, pp. 236–249, 2015. DOI: https://doi.org/10.1016/j.compstruct.2015.02.086.
- Z. Liu, J. Lu, and P. Zhu, Lightweight design of automotive composite bumper system using modified particle swarm optimizer, Compos. Struct., vol. 140, pp. 630–643, 2016. DOI: https://doi.org/10.1016/j.compstruct.2015.12.031.
- W. Hou, X. Xu, X. Han, H. Wang, and L. Tong, Multi-objective and multi-constraint design optimization for hat-shaped composite T-joints in automobiles, Thin-Walled Struct., vol. 143, pp. 106232, 2019. DOI: https://doi.org/10.1016/j.tws.2019.106232.
- M. Jahani, H. Beheshti, and M. Heidari-Rarani, Effects of geometry, triggering and foam-filling on crashworthiness behaviour of a cylindrical composite crash box, Int. J. Automot. Mech. Eng., vol. 16, pp. 6568–6587, 2019. DOI: https://doi.org/10.15282/ijame.16.2.2019.8.0495.
- H. El-Hage, P.K. Mallick, and N. Zamani, A numerical study on the quasi-static axial crush characteristics of square aluminum tubes with chamfering and other triggering mechanisms, Int. J. Crashworth., vol. 10, no. 2, pp. 183–196, 2005. DOI: https://doi.org/10.1533/ijcr.2005.0337.
- H. El-Hage, P.K. Mallick, and N. Zamani, A numerical study on the quasi-static axial crush characteristics of square aluminum–composite hybrid tubes, Compos. Struct., vol. 73, no. 4, pp. 505–514, 2006. DOI: https://doi.org/10.1016/j.compstruct.2005.03.004.
- Z. Ahmad and D.P. Thambiratnam, Crushing response of foam-filled conical tubes under quasi-static axial loading, Mater Des., vol. 30, no. 7, pp. 2393–2403, 2009. DOI: https://doi.org/10.1016/j.matdes.2008.10.017.
- F.-K. Chang and K.-Y. Chang, Post-failure analysis of bolted composite joints in tension or shear-out mode failure, J. Compos. Mater., vol. 21, no. 9, pp. 809–833, 1987. DOI: https://doi.org/10.1177/002199838702100903.
- F.-K. Chang and K.-Y. Chang, A progressive damage model for laminated composites containing stress concentrations, J. Compos. Mater., vol. 21, no. 9, pp. 834–855, 1987. DOI: https://doi.org/10.1177/002199838702100904.
- J.O. Hallquist, LS-DYNA® Keyword User’s Manual Volume I & II, Livermore Software Technology Corporation, Livermore, CA, 2018.
- J. Huang and X. Wang, Numerical and experimental investigations on the axial crushing response of composite tubes, Compos. Struct., vol. 91, no. 2, pp. 222–228, 2009. DOI: https://doi.org/10.1016/j.compstruct.2009.05.006.
- B. Zhu, C. Wang, and X. Cai, Research of influence factors on friction coefficient of carbon fiber reinforced composites. Cailiao Kexue Yu Gongcheng, Mater. Sci. Eng., vol. 20, pp. 361–363, 2002.
- S. Xie, W. Yang, N. Wang, and H. Li, Crashworthiness analysis of multi-cell square tubes under axial loads, Int. J. Mech. Sci., vol. 121, pp. 106–118, 2017. DOI: https://doi.org/10.1016/j.ijmecsci.2016.12.005.
- X. Zhang and H. Zhang, Numerical and theoretical studies on energy absorption of three-panel angle elements, Int. J. Impact Eng., vol. 46, pp. 23–40, 2012. DOI: https://doi.org/10.1016/j.ijimpeng.2012.02.002.
- J. Fang, Y. Gao, G. Sun, C. Xu, Y. Zhang, and Q. Li, Optimization of spot-welded joints combined artificial bee colony algorithm with sequential Kriging optimization, Adv. Mech. Eng., vol. 2014, Article ID 573694, pp. 1–10, 2014. DOI: https://doi.org/10.1155/2014/5736942014
- S. Shan and G.G. Wang, Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions, Struct. Multidisc. Optim., vol. 41, no. 2, pp. 219–241, 2010. DOI: https://doi.org/10.1007/s00158-009-0420-2.
- J. Fang, Y. Gao, G. Sun, G. Zheng, and Q. Li, Dynamic crashing behavior of new extrudable multi-cell tubes with a functionally graded thickness, Int. J. Mech. Sci., vol. 103, pp. 63–73, 2015. DOI: https://doi.org/10.1016/j.ijmecsci.2015.08.029.
- J. Fang, Y. Gao, X. An, G. Sun, J. Chen, and Q. Li, Design of transversely-graded foam and wall thickness structures for crashworthiness criteria, Compos. Part B Eng., vol. 92, pp. 338–349, 2016. DOI: https://doi.org/10.1016/j.compositesb.2016.02.006.
- I. Alothaimeen and D. Arditi, Overview of multi-objective optimization approaches in construction project management. In: Multi-criteria Optimization-Pareto-optimal and Related Principles, IntechOpen Limited, 7th floor, 10 Lower Thames Street, London, EC3R 6AF, UK, 2019. DOI: https://doi.org/10.5772/intechopen.88185
- K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans. Evol. Comput., vol. 6, no. 2, pp. 182–197, 2002. DOI: https://doi.org/10.1109/4235.996017.
- H. Yang, X. Xu, W. Xu, and I. Neumann, Terrestrial laser scanning-based deformation analysis for arch and beam structures, IEEE Sens. J., vol. 17, pp. 4605–4611, 2017.
- X. Xu, J. Bureick, H. Yang, and I. Neumann, TLS-based composite structure deformation analysis validated with laser tracker, Compos. Struct., vol. 202, pp. 60–65, 2018. DOI: https://doi.org/10.1016/j.compstruct.2017.10.015.
- X. Xu, R. Augello, and H. Yang, The generation and validation of a CUF-based FEA model with laser-based experiments, Mech. Adv. Mater. Struct., pp. 1–8, 2019. DOI: https://doi.org/10.1080/15376494.2019.1697473
- X. Xu, H. Yang, R. Augello, and E. Carrera, Optimized free-form surface modeling of point clouds from laser-based measurement, Mech. Adv. Mater. Struct., pp. 1–9, 2019. DOI: https://doi.org/10.1080/15376494.2019.1688435