Abstract
Thermal conductivity can depend on temperature (namely, nonlinear), which is common in nature. Since composites are widely used in thermal metamaterials to tailor thermal conductivities and other macroscopic properties, a fundamental problem is how to predict the effective thermal conductivity (\(\kappa _{e}\)) of composites. In this chapter, we present various kinds of theories or methods to calculate both linear and nonlinear part of \(\kappa _{e}\), which include the effective medium theory, the Rayleigh method and the perturbation method. We show their validity by comparing with the numerical results from finite-element simulations for periodic composites with linear or nonlinear thermal conductivities. Also, we investigate the condition for generating nonlinearity enhancement.
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Huang, JP. (2020). Macroscopic Theory for Thermal Composites: Effective Medium Theory, Rayleigh Method and Perturbation Method. In: Theoretical Thermotics. Springer, Singapore. https://doi.org/10.1007/978-981-15-2301-4_6
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DOI: https://doi.org/10.1007/978-981-15-2301-4_6
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Online ISBN: 978-981-15-2301-4
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