Abstract
A numerical tool for the design of foam-like microstructures with customized heat conduction properties is presented in this paper. The spatial variation of the local material properties is achieved via the optimization of the spatial distribution of the gas cells. A Genetic Algorithm (GA) is used for this purpose. Although very effective and versatile GAs are computationally expensive. This problem is tackled in two ways: a Fast Multipole Boundary Element Method algorithm is used for the thermal analysis of the microstructures, and the GA is implemented in parallel using a cluster of PCs. Two examples illustrate the performance of the developed implementation.
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References
Aliabadi M.H. and Wrobel L.C. “The Boundary Element Method” John Wiley & Sons, Chichister, UK (2002)
Charbonneau P. and Knapp B. “A User’s Guide to PIKAIA 1.0” NCAR Technical Note TN-418+IA (1995)
Charbonneau P. and Knapp B. “PIKAIA: Optimization (Maximization) of User-Supplied ’Fitness’ Function ff Over n-Dimensional Parameter Space x Using a Basic Genetic Algorithm Method.” High Altitude Observatory, National Center for Atmospheric Research, Boulder CO 80307-3000, US. (http://download.hao.ucar.edu/archive/pikaia)
Goldberg D. E. “Genetic Algorithms in search, optimization & machine learning”, Addison-Wesley, New York, USA (1999)
Jones W.B. and Thron W.J. “Continued Fractions: Theory and Applications”. Addison-Wesley Publishing Company, Reading, MA, 185–197 (1980)
Kazarian S.G. “Polymer Processing with Supercritical Fluids” Poly. Sci. Ser. C, 42(1), 78–101 (2000)
Liu Y.J. and Nishimura N. “The Fast Multipole Boundary Element Method for Potential Problems: A Tutorial”. Eng. Anal. Bound. Elem., 30(5), 371–381 (2006)
Press W.H., Teukolsky S.A., Vetterling W.T. and Flannery B.P. “Numerical Recipes in Fortran 77”, Second Edition. Cambridge University Press, Cambridge, UK (1992)
Ruys A.J., Popov E.B., Sun D., Russell J.J. and Murray C.C.J. “Functionally Graded Electrical/Thermal Ceramic Systems”. J. Eur. Ceram. Soc., 21(10-11), 2025–2029 (2001)
Zohdi T.I. and Wriggers P. “Introduction to Computational Micromechanics” Lecture Notes in Applied and Computational Mechanics, Volume 20, Springer-Verlag, Berlin (2005)
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Dondero, M., Cisilino, A.P., Carranza, A.R., Stavroulakis, G. (2009). Fast Multipole BEM and Genetic Algorithms for the Design of Foams with Functional-Graded Thermal Conductivity. In: Manolis, G.D., Polyzos, D. (eds) Recent Advances in Boundary Element Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9710-2_5
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DOI: https://doi.org/10.1007/978-1-4020-9710-2_5
Publisher Name: Springer, Dordrecht
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