Design of microvascular flow networks using multi-objective genetic algorithms

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 49-50, 2008, Pages 4399-4410

  Aragón, Alejandro M ^a   Wayer, Jessica K ^a   Geubelle, Philippe H ^b   Goldberg, David E ^b   White, Scott R ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Bio mimetic material; Genetic algorithms; Microvascular network; Multi objective optimization

Indexed keywords

ALGORITHMS; DIESEL ENGINES; ELECTRIC NETWORK TOPOLOGY; GENETIC ALGORITHMS; MICROCHANNELS; QUALITY ASSURANCE; REDUNDANCY; RELIABILITY; SET THEORY; VOID FRACTION;

BIO-MIMETIC; BIO-MIMETIC MATERIAL; DESIGN VARIABLES; FINITE SETS; FLOW EFFICIENCY; FLOW NETWORKS; MICRO-VASCULAR NETWORKS; MICROVASCULAR; MICROVASCULAR NETWORK; MULTI-OBJECTIVE GENETIC ALGORITHM; MULTI-OBJECTIVE GENETIC ALGORITHMS; NETWORK REDUNDANCY; NETWORK TOPOLOGIES; OBJECTIVE FUNCTIONS; PARETO-OPTIMAL FRONTS; VOID VOLUME FRACTION;

MULTIOBJECTIVE OPTIMIZATION;

EID: 52749098325     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.05.025     Document Type: Article

References (39)

1. A.M. Aragón, C.J. Hansen, W. Wu, P.H. Geubelle, J.A. Lewis, S.R. White, Computational design and optimization of a biomimetic self-healing/cooling material, in: Proceedings of SPIE, vol. 6526, 2007.
2. Bäck T., and Schwefel H.-P. Evolution Strategies I: Variants and their Computational Implementation. Chapter 6 (1995), John Wiley & Sons Limited pp. 111-126
3. Bejan A., and Lorente S. Constructal theory of generation of configuration in nature and engineering. J. Appl. Phys. 100 4 (2006) 041301
4. Bejan A., Lorente S., and Wang K.-M. Networks of channels for self-healing composite materials. J. Appl. Phys. 100 3 (2006) 033528
5. T. Borrvall, A. Klarbring, J. Petersson, B. Torstenfelt, Topology optimization in fluid mechanics, in: Fifth World Congress on Computational Mechanics, 2002.
6. Brebbia C.A., and Ferrante A.J. Computational Hydraulics (1983), Butterworths, London
7. Cantú-Paz E., and Goldberg D.E. Efficient parallel genetic algorithms: theory and practice. Comput. Methods Appl. Mech. Engrg. 186 (2000) 221-238
8. In: Davis L. (Ed). Handbook of Genetic Algorithms (1991), Van Nostrand Reinhold
9. Deb K. Multi-Objective Optimization Using Evolutionary Algorithms. first ed. (2001), John Wiley & Sons Limited
10. Deb K., Agrawal S., Pratap A., and Meyarivan T. A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Transact. Evol. Comput. 6 2 (2002) 181-197
11. Edmonds J., and Karp R.M. Theoretical improvements in algorithmic efficiency for network flow problems. J. Assoc. Comput. Mach. 19 2 (1972) 248-264
12. C.M. Fonseca, P.J. Fleming, Genetic algorithms for multiobjective optimization: formulation, discussion and generalization, in: S. Forrest (Ed.), Genetic Algorithms: Proceedings of the Fifth International Conference, Morgan Kaufmann, San Mateo, CA, 1993.
13. Williams R.T.G., and Bond I. A self-healing carbon fibre reinforced polymer for aerospace applications. Compos. Part A: Appl. Sci. Manufact. 38 6 (2007) 1525-1532
14. Goldberg D.E. Genetic Algorithms in Search, Optimization, and Machine Learning (1989), Addison-Wesley Publishing Company, Masachusetts
15. Goldberg D.E. The Design of Innovation: Lessons from and for Competent Genetic Algorithms (2002), Kluwer Academic Publishers, Massachusetts
16. Holland J.H. Outline for a logical theory of adaptive systems. J. Assoc. Comput. Mach. 9 3 (1962) 297-314
17. Holland J.H. Adaptation in Natural and Artificial Systems: an Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence (1975), University of Michigan Press, Ann Arbor, MI
18. J. Horn, N. Nafpliotis, D.E. Goldberg, A niched pareto genetic algorithm for multiobjective optimization, in: IEEE World Congress on Computational Intelligence. Proceedings of the First IEEE Conference on Evolutionary Computation, vol. 1, 1994.
19. Kim S., Lorente S., and Bejan A. Vascularized materials: tree-shaped flow architectures matched canopy to canopy. J. Appl. Phys. 100 6 (2006) 063525
20. Klarbring A., Petersson J., Torstenfelt B., and Karlsson M. Topology optimization of flow networks. Comput. Methods Appl. Mech. Engrg. 192 35-36 (2003) 3909-3932
21. S. Kukkonen, J. Lampinen, GDE3: the third evolution step of generalized differential evolution, in: The 2005 IEEE Congress on Evolutionary Computation, vol. 1, 2005.
22. Kumar S.V., Doby T.A., Baugh J.J.W., Brill E.D., and Ranjithan S.R. Optimal design of redundant water distribution networks using a cluster of workstations. J. Water Resour. Plan. Manage. 132 5 (2006) 374-384
23. Pang J.W.C., and Bond I.P. A hollow fibre reinforced polymer composite encompassing self-healing and enhanced damage visibility. Compos. Sci. Technol. 65 11-12 (2005) 1791-1799
24. Papadimitriou C.H., and Steiglitz K. Combinatorial Optimization: Algorithms and Complexity (1998), Dover Publications
25. V. Pareto, Manuale di Economia Politica, Piccola Biblioteca Scientifica, Milan, 1906, translated into English by Ann S. Schwier (1971), Manual of Political Economy, MacMillan, London.
26. M. Pelikan, K. Sastry, D.E. Goldberg, Multiobjective HBOA, clustering, and scalability, in: GECCO'05: Proceedings of the 2005 Conference on Genetic and evolutionary computation, ACM, New York, NY, USA, 2005.
27. Prasad T.D., and Park N. Multiobjective genetic algorithms for design of water distribution networks. J. Water Resour. Plan. Manage. 130 1 (2004) 73-82
28. J.T. Richardson, M.R. Palmer, G.E. Liepins, M. Hilliard, Some guidelines for genetic algorithms with penalty functions, in: Proceedings of the third international conference on Genetic algorithms, Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 1989.
29. Schwefel H.-P., and Bäck T. Evolution Strategies II: Theoretical Aspects. Chapter 7 (1995), John Wiley & Sons Limited pp. 127-140
30. L.A. Shipton, Thermal management applications for microvascular systems, Master's thesis, University of Illinois at Urbana-Champaign, 2007.
31. Simpson A.R., Dandy G.C., and Murphy L.J. Genetic algorithms compared to other techniques for pipe optimization. J. Water Resour. Plan. Manage. 120 4 (1994) 423-443
32. Srinivas N., and Deb K. Multiobjective function optimization using nondominated sorting genetic algorithms. Evol. Comput. J. 2 3 (1995) 221-248
33. Steiglitz K., Weiner P., and Kleitman D. The design of minimum-cost survivable networks, circuits and systems. IEEE Trans. [legacy, pre - 1988] 16 4 (1969) 455-460
34. Therriault D., White S.R., and Lewis J.A. Chaotic mixing in three-dimensional microvascular networks fabricated by direct-write assembly. Nat. Mater. 2 4 (2003) 265-271
35. Toohey K.S., Sottos N.R., Lewis J.A., Moore J.S., and White S.R. Self-healing materials with microvascular networks. Nat. Mater. 6 (2007) 581-585
36. Vairavamoorthy K., and Ali M. Optimal design of water distribution systems using genetic algorithms. Comput-Aided Civil Infrastruct. Engrg. 15 5 (2000) 374-382
37. West D.B. Introduction to Graph Theory. second ed. (2001), Prentice Hall
38. W. Wu, C.J. Hansen, A.M. Aragón, N.R. Sottos, S.R. White, P.H. Geubelle, J.A. Lewis, Direct ink writing of microvascular networks, in: Proceedings of the First International Conference on Self Healing Materials, Noordwijk aan Zee, The Netherlands, 2007.
39. Zhang H., Lorente S., and Bejan A. Vascularization with trees that alternate with upside-down trees. J. Appl. Phys. 101 9 (2007) 094904