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Numerical Design of Random Micro-Heterogeneous Materials with Functionally-Graded Effective Thermal Conductivities Using Genetic Algorithms and the Fast Boundary Element Method

Marco Dondero1, Adrián P. Cisilino1,2, J. Pablo Tomba1

INTEMA, Faculty of Engineering, University of Mar del Plata-CONICET. Av. Juan B. Justo 4302, Mar del Plata, Argentina
Corresponding author, email: cisilino@fi.mdp.edu.ar

Computer Modeling in Engineering & Sciences 2011, 78(3&4), 225-246. https://doi.org/10.3970/cmes.2011.078.225

Abstract

This paper introduces a numerical methodology for the design of random micro-heterogeneous materials with functionally graded effective thermal conductivities (ETC). The optimization is carried out using representative volume elements (RVEs), a parallel Genetic Algorithm (GA) as optimization method, and a Fast Multipole Boundary Element Method (FMBEM) for the evaluation of the cost function. The methodology is applied for the design of foam-like microstructures consisting of random distributions of circular insulated holes. The temperature field along a material sample is used as objective function, while the spatial distribution of the holes is the design variable. There are presented details of the FMBEM and the GA implementations, their customizations and tune up, and the analysis for the sizing of the RVE. The effectiveness of the proposed methodology is demonstrated for two examples. Computed results are experimentally validated using ad-hoc devised experiments.

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APA Style
Dondero, M., Cisilino, A.P., Tomba, J.P. (2011). Numerical design of random micro-heterogeneous materials with functionally-graded effective thermal conductivities using genetic algorithms and the fast boundary element method. Computer Modeling in Engineering & Sciences, 78(3&4), 225-246. https://doi.org/10.3970/cmes.2011.078.225
Vancouver Style
Dondero M, Cisilino AP, Tomba JP. Numerical design of random micro-heterogeneous materials with functionally-graded effective thermal conductivities using genetic algorithms and the fast boundary element method. Comput Model Eng Sci. 2011;78(3&4):225-246 https://doi.org/10.3970/cmes.2011.078.225
IEEE Style
M. Dondero, A.P. Cisilino, and J.P. Tomba, “Numerical Design of Random Micro-Heterogeneous Materials with Functionally-Graded Effective Thermal Conductivities Using Genetic Algorithms and the Fast Boundary Element Method,” Comput. Model. Eng. Sci., vol. 78, no. 3&4, pp. 225-246, 2011. https://doi.org/10.3970/cmes.2011.078.225



cc Copyright © 2011 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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