A numerical-analytical coupling computational method for homogenization of effective thermal conductivity of periodic composites

Abstract : Background : In the framework of periodic homogenization, the conduction problem can be formulated as an integral equation whose solution can be represented by a eumann series. From the theory, many efficient computational methods and analytical estimations have been proposed to compute the effective conductivity of composites. Methods: We combine a Fast Fourier Transform (FFT) numerical method based on the Neumann series and analytical estimation based on the integral equation to solve the problem. Specifically, the analytical approximation is used to estimate the remainder of the series. Results: From some numerical examples, the coupling method has shown to improve significantly the original FFT iteration scheme and results are also superior to the analytical estimation. Conclusions: We have proposed a new efficient computation method to determine the effective conductivity of composites. This method combines the advantages of the FFT methods and the analytical estimation based on integral equation.
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https://hal-upec-upem.archives-ouvertes.fr/hal-01066861
Contributor : Quy Dong To <>
Submitted on : Monday, February 29, 2016 - 9:45:31 AM
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Quy-Dong To, Guy Bonnet. A numerical-analytical coupling computational method for homogenization of effective thermal conductivity of periodic composites. Asia Pacific Journal on Computational Engineering, 2014, 1 (1), pp.1:5. ⟨hal-01066861⟩

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