Effective thermal conductivity of functionally graded random micro-heterogeneous materials using representative volume element and BEM |
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| Authors: | Marco Dondero Adrián P Cisilino José M Carella J Pablo Tomba |
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| Affiliation: | 1. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991, USA;2. Faculty of Civil and Environmental Engineering, Technion, Israel Institute of Technology, Technion City, Haifa 32000, Israel;3. Ecole Centrale Paris,, 92290 Châtenay-Malabry, France;1. Departamento de Química Inorgánica, Analítica y Química Física, INQUIMAE-CONICET, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina;2. Instituto Pasteur, Fondazione Cenci Bolognetti, Department of Biochemical Sciences, University of Rome “La Sapienza”, Italy;3. Departamento de Química Biológica, IQUIBICEN-CONICET, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina;4. Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina |
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| Abstract: | This work introduces a numerical methodology for the computation of the effective thermal conductivity (ETC) of random micro-heterogeneous materials using representative volume elements and the Fast Multipole Boundary Element Method (FMBEM). The methodology is applied to solve two-dimensional foam-like materials consisting of random distributions of circular isolated holes. The computed ETC values are successfully used to predict the temperature fields of two materials with functionally graded ETCs. Numerical and analytical results are experimentally validated. The proposed methodology is flexible and versatile, as it is capable to account for both, the geometrical and topological details of the material microstructure. |
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