Strain-based topology optimisation for crashworthiness using hybrid cellular automata

References

• Annarumma , M. , Naddero , A. and Pappalardo , M. 2008 . Software independence: impact on automotive product development process . J. Achievements Mater. Manuf. Eng. , 31 : 725 – 731 .
   Google Scholar
• Bendsøe , M. 1989 . Optimal shape design as a material distribution problem . Comput. Methods Appl. Mech. Eng. , 1 : 193 – 202 .
   Google Scholar
• Bendsøe , M. and Sigmund , O. 2003 . Topology Optimization: Theory, Methods and Applications, 2nd ed. , Berlin : Springer Verlag .
   Google Scholar
• Díaz , A. and Sigmund , O. 1995 . Checkerboard patterns in layout optimization . Struct. Optim. , 10 : 40 – 45 .
   Google Scholar
• Forsberg , J. and Nilsson , L. 2007 . Topology optimization in crashworthiness design . Struct. Multidiscip. Optim. , 33 : 1 – 12 .
   Web of Science ®Google Scholar
• Fuchs , M. , Jiny , S. and Peleg , N. 2005 . The SRV constraint for 0/1 topological design . Struct. Multidiscip. Optim. , 30 : 320 – 326 .
   Google Scholar
• Gea , H. and Luo , J. 2001 . Design for energy absorption: Topology optimization approach , Pittsburgh, Pennsylvania, USA : Proceedings of the 2001 ASME International Design Engineering Technical Conference, no. DETC2001-DAC21060 .
   Google Scholar
• Hallquist , J. 1998 . LS-DYNA Theoretical Manual , Livermore, CA : Livermore Software Technology Corporation .
   Google Scholar
• Huang , X. , Xie , Y. and Lu , G. 2007 . Topology optimization of energy-absorbing structures . Int. J. Crashworthiness , 12 : 663 – 675 .
   Web of Science ®Google Scholar
• Jog , C. 2002 . Topology design of structures using a dual algorithm and a constraint on the perimeter . Int. J. Numer. Methods Eng. , 54 : 1007 – 1019 .
   Google Scholar
• Jung , D. and Gea , H. 2006 . Design of an energy-absorbing structure using topology optimization with a multimaterial model . Struct. Multidiscip. Optim. , 32 : 251 – 257 .
   Web of Science ®Google Scholar
• Liao , X. , Li , Q. , Yang , X. , Li , W. and Zhang , W. 2008 . A two-stage multi-objective optimisation of vehicle crashworthiness under frontal impact . Int. J. Crashworthiness , 13 : 279 – 288 .
   Web of Science ®Google Scholar
• Ma , Z. and Kikuchi , N. 2006 . Multidomain topology optimization for structural and material designs . ASME J. Appl. Mech. , 73 : 565 – 573 .
   Web of Science ®Google Scholar
• Mayer , R. , Kikuchi , N. and Scott , R. 1996 . Applications of topology optimization techniques to structural crashworthiness . Int. J. Num. Methods Eng. , 39 : 1383 – 1403 .
   Google Scholar
• Mozumder , C. , Bandi , P. and Renaud , J. 2008 . Thickness based topology optimization for crashworthiness design using hybrid cellular automata Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, no. AIAA 2008-6046, Victoria, British Columbia, Canada.
   Google Scholar
• Patel , N. 2007 . Crashworthiness design using topology optimization , PhD thesis, University of Notre Dame .
   Google Scholar
• Patel , N. , Tovar , A. and Renaud , J. 2005 . Compliant mechanism design using the hybrid cellular automaton method , Austin, Texas, USA : 1st AIAA Multidisciplinary Design Optimization Specialist Conference .
   Google Scholar
• Patel , N. , Kang , B. and Renaud , J. 2006 . Crashworthiness design using a hybrid cellular automata algorithm , Philadelphia, Pennsylvania, USA : Proceedings of the 2006 ASME International Design Engineering Technical Conference, no. DETC2006-99566 .
   Google Scholar
• Patel , N. , Kang , B. and Renaud , J. 2006 . Topology synthesis of structures under impact loading using a hybrid cellular automaton algorithm , Portsmouth, Virginia, USA : Proceedings of the 11th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization .
   Google Scholar
• Patel , N. , Kang , B. , Renaud , J. and Tovar , A. 2009 . Crashworthiness design using topology optimization . ASME J. Mech. Des. , 131 : 061013.1 – 061013.12 .
   Google Scholar
• Patel , N. , Penninger , C. and Renaud , J. 2009 . Topology synthesis of extrusion-based nonlinear transient designs . ASME J. Mech. Des. , 131 : 061003.1 – 061003.11 .
   Google Scholar
• Patel , N. , Renaud , J. and Mozumder , C. 2007 . Topology optimization for synthesizing extrusion based nonlinear transient designs , Las Vegas, Nevada, USA : Proceedings of the 2007 ASME International Design Engineering Technical Conferences Computers and Information in Engineering Conference IDETC/CIE .
   Google Scholar
• Pedersen , C. 2003 . Topology optimization design of crushed 2d-frames for desired energy absorption . Struct Multidiscip. Optim. , 25 : 368 – 382 .
   Web of Science ®Google Scholar
• Pedersen , C. 2003 . Topology optimization for crashworthiness of frame structures . Int. J. Crashworthiness , 8 : 29 – 39 .
   Web of Science ®Google Scholar
• Watson , C. Penninger, L. , Tovar , A. and Renaud , J. 2010 . Convergence analysis of hybrid cellular automata for topology optimization . Struct. Multidiscip. Optim. , 40 : 271 – 282 .
   Google Scholar
• Penninger , C. , Patel , N. , Niebur , G. , Tovar , A. and Renaud , J. 2009 . A fully anisotropic hierarchical hybrid cellular automata methodology to simulate bone remodeling . Mech. Res. Commun. , 35 : 32 – 42 .
   Web of Science ®Google Scholar
• Petersson , J. and Sigmund , O. 1998 . Slope constrained topology optimization . Int. J. Numer. Methods Eng. , 41 : 1417 – 1434 .
   Web of Science ®Google Scholar
• Schmit , L. 1960 . Structural design by systematic synthesis , 105 – 122 . Pittsburgh, Pennsylvania, USA : Proceedings of the 2nd ASCE Conference on Electronic Computations .
   Google Scholar
• Sigmund , O. 2007 . Morphology-based black and white filters for topology optimization . Struct. Multidiscip. Optim. , 33 : 401 – 424 .
   Web of Science ®Google Scholar
• Sigmund , O. and Petersson , J. 1998 . Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima . Struct. Multidiscip. Optim. , 16 : 68 – 75 .
   Web of Science ®Google Scholar
• Soto , C. 2001 . Structural topology in crashworthiness bymatching plastic strain and stress levels , New York, New York, USA : Proceedings of the 2001 ASME International Mechanical Engineering Congress and Exposition .
   Google Scholar
• Soto , C. 2003 . Structural topology design optimization for controlled crash behavior , Chicago, Illinois, USA : Proceedings of the 2003 ASME Design Engineering Technical Conferences Computers and Information in Engineering Conference, no. DETC2003-DAC-48733 .
   Google Scholar
• Soto , C. 2004 . Structural topology optimization for crashworthiness . Int. J. Crashworthiness , 9 : 277 – 283 .
   Web of Science ®Google Scholar
• Soto , C. 2001 . Optimal structural topology design for energy absorption: A heuristic approach , Pittsburgh, Pennsylvania, USA : Proceedings of the 2001 ASME Design Engineering Technical Conferences Computers and Information in Engineering Conference, no. IDETC2006-DAC-21126 .
   Google Scholar
• Tovar , A. , Niebur , G.L. , Sen , M. and Renaud , J. 2004 . Bone structure adaptation as a cellular automaton optimization process , Palm Springs, California, USA : 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA 2004-17862 .
   Google Scholar
• Tovar , A. , Patel , N. , Kaushik , A. and Renaud , J. 2007 . Optimality conditions of the hybrid cellular automata for structural optimization . AIAA J. , 45 : 673 – 683 .
   Google Scholar
• Tovar , A. , Patel , N. and Renaud , J. 2004 . Hybrid cellular automata: A biologically-inspired structural optimization technique , Albany, New York, USA : 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA 2004-4558 .
   Google Scholar
• Tovar , A. , Patel , N. , Niebur , G. , Sen , M. and Renaud , J. 2006 . Topology optimization using a hybrid cellular automaton method with local control rules . ASME J. Mech. Des. , 128 : 1205 – 1216 .
   Web of Science ®Google Scholar
• Tovar , A. , Patel , N. , Agarwal , H. and Renaud , J. 2005 . Optimality of hybrid cellular automata , Austin, Texas, USA : 1st AIAA Multidisciplinary Design Optimization Specialist Conference .
   Google Scholar
• Tovar , A. , Quevedo , W. , Patel , N. and Renaud , J. 2006 . Topology optimization with stress and displacement constraints using the hybrid cellular automaton method , Lisbon, Portugal : Proceedings of the 3rd European Conference on Computational Mechanics .
   Google Scholar
• Tovar , A. 2004 . Bone remodeling as a hybrid cellular automaton optimization process , PhD thesis, University of Notre Dame .
   Google Scholar
• Tovar , A. 2005 . Optimización topológica con la técnica de los autómatas celulares híbridos. . Rev. Int. Metod. Numer. Calc. Dise. , 21 : 365 – 383 .
   Google Scholar
• Tovar , A. , Quevedo , W.I. , Patel , N.M. and Renaud , J.E. 2005 . Hybrid cellular automata with local control rules: A new approach to topology optimization inspired by bone functional adaptation , Rio de Janeiro, Brazil : 6th World Congress of Structural and Multidisciplinary Optimization .
   Google Scholar
• U.S. Department of Transportation . 1998 . Federal Motor Vehicle Safety Standards , Washington, DC : National Highway Traffic Safety Administration .
   Google Scholar
• Wolfram , S. 2002 . A New Kind of Science , Champaign, Illinois, USA : Wolfram Media, Inc. .
   Google Scholar
• Yang , R. and Chen , C. 1996 . Stress-based topology optimization . Struct. Optim. , 12 : 98 – 105 .
   Google Scholar
• Zhou , M. and Rozvany , G. 1991 . The COC algorithm, part ii: Topological, geometrical and generalized shape optimization . Comput. Methods Appl. Mech. Eng. , 89 : 309 – 336 .
   Web of Science ®Google Scholar