REFERENCES
- Abaqus/Explicit version 6.10, User's Manual. 2010. Pawtucket, RI: Hibbit, Karlsson and Sorensen.
- Abaqus/Standard version 6.10, User's Manual. 2010. Pawtucket, RI: Hibbit, Karlsson and Sorensen.
- Acar, E. and M. Rais-Rohani. 2008. “Ensemble of Metamodels with Optimized Weight Factors.” Structural and Multidisciplinary Optimization, 37 (3), 279–294. doi: 10.1007/s00158-008-0230-y
- Buhmann, M. 2003. Radial Basis Functions: Theory and Implementations. New York: Cambridge University Press.
- Dutton, T., R. Sturt, P. Richardson, and A. Knight. 2001. The Effect of Forming on Automotive Crash Results. SAE Paper, 2001-01-3050.
- Fonseca, M., and P. J. Fleming. 1993. “Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization.” In Proceedings of the 5th International Conference on Genetic Algorithms. San Francisco: Morgan Kaufmann, 416–423.
- Gholipour, J., M. Worswick, and D. Oliveira. 2004. Application of Damage Models in Bending and Hydroforming of Aluminum Alloy Tube. SAE Technical Paper 2004-01-0835. doi: 10.4271/2004-01-0835
- Grantab, R., 2006. “Interaction between Forming and Crashworthiness of Advanced High Strength Steel S-Rails.” PhD dissertation, University of Waterloo, Canada.
- Hu, W., L. Yao, and Z. Hua. 2008. “Optimization of Sheet Metal Forming Processes by Adaptive Response Surface Based on Intelligent Sampling Method.” Journal of Materials Processing Technology, 197 (1–3), 77–88. doi: 10.1016/j.jmatprotec.2007.06.018
- Kaufman, M., D. Gaines, K. Kundrick, and S. Liu. 1998. Integration of Chassis Frame Forming Analysis into Performance Models to More Accurately Evaluate Crashworthiness. SAE Technical Paper 980551.
- Lee, S., Y. N. Kwon, S. H. Kang, S. W. Kim, and J. H. Lee. 2008. “Forming limit of AZ31 Alloy Sheet and Strain Rate on Warm Sheet Metal Forming.” Journal of Materials Processing Technology, 201 (1–3), 431–435. doi: 10.1016/j.jmatprotec.2007.11.306
- Martin, J., and T. Simpson. 2005. “Use of Kriging Models to Approximate Deterministic Computer Models.” AIAA Journal, 43 (4), 853–863. doi: 10.2514/1.8650
- MATLAB Global Optimization Toolbox R2012b. 2012. The MathWorks, Inc.
- Mullur, A. A., and A. Messac. 2005. “Extended Radial Basis Functions: More Flexible and Effective Metamodeling.” AIAA Journal, 43 (6), 1306–1315. doi: 10.2514/1.11292
- Myers, R., and D. Montgomery. 2002. Response Surface Methodology: Process and Product Optimization Using Designed Experiments. New York: Wiley.
- Najafi, A., and M. Rais-Rohani. 2012. “Sequential coupled process-performance simulation and multi-objective optimization of thin-walled tubes.” Materials and Design, 41, 89–98. doi: 10.1016/j.matdes.2012.03.057
- Najafi, A., and M. Rais-Rohani. 2011. “Mechanics of Axial Plastic Collapse in Multi-Cell, Multi-Corner Crush Tubes.” Thin-Walled Structures, 49, 1–12. doi: 10.1016/j.tws.2010.07.002
- Najafi, A., E. Marin, and M. Rais-Rohani. 2012. “Concurrent Multi-Scale Crush Simulations with a Crystal Plasticity Model.” Thin-Walled Structures, 53, 176–187. doi: 10.1016/j.tws.2011.12.019
- Najafi, A., M. Rais-Rohani, and Y. Hammi. 2011. “Multi-Attribute Integrated Forming-Crush Simulation Optimization Using Internal State Variable Model.” In Proceedings of the 1st World Congress on Integrated Computational Materials Engineering, Seven Springs, PA, TMS. July, pp. 1–14.
- Oliveira, D., M. Worswick, R. Grantab, B. Williams, and R. Mayer. 2006. “Effect of Forming Process Variables on the Crashworthiness of Aluminium Alloy Tubes.” International Journal of Impact Engineering, 32 (5), 826–846. doi: 10.1016/j.ijimpeng.2005.06.006
- Qu, X., R. Haftka, S. Venkataraman, and T. Johnson. 2003. “Deterministic and Reliability-Based Optimization of Composite Laminates for Cryogenic Environments.” AIAA Journal, 41 (10), 2029–2036. doi: 10.2514/2.1893
- Sacks, J., W. Welch, T. Mitchell, and H. Wynn. 1989. “Design and Analysis of Computer Experiments.” Statistical Sciences, 4 (4), 409–435. doi: 10.1214/ss/1177012413
- Simunovic, S., and G. Aramayo. 2002. Steel Processing Properties and Their Effect on Impact Deformation of Lightweight Structures. Computer Science and Mathematics Division, Computational Materials Science Group, American Iron and Steel Institute.
- Simunovic, S., J. Shaw, and G. Aramayo. 2001. Steel Processing Effects on Impact Deformation of UltraLight Steel Auto Body. SAE Technical Paper 2001-01-1056. doi: 10.4271/2001-01-1056
- Sobieszczanski-Sobieski, J. 1990. “Sensitivity Analysis and Multidisciplinary Optimization for Aircraft Design: Recent Advances and Results.” Journal of Aircraft, 27 (12), 993–1001. doi: 10.2514/3.45973
- Wei, L., and Y. Yuying. 2008. “Multi-objective Optimization of Sheet Metal Forming Process Using Pareto-Based Genetic Algorithm.” Journal of Materials Processing Technology, 208 (1–3), 499–506. doi: 10.1016/j.jmatprotec.2008.01.014
- Williams, B., D. Oliveira, M. Worswick, R. Mayer. 2005. Crashworthiness of High and Low Pressure Hydroformed Straight Section Aluminum Tubes. SAE Technical Paper 2005-01-0095. doi: 10.4271/2005-01-0095
- Xu, X., C. Ma, C. Li, W. Feng. 2004. “Sensitive Factors in Springback Simulation for Sheet Metal Forming.” Journal of Materials Processing Technology, 151, 217–222. doi: 10.1016/j.jmatprotec.2004.04.044