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Heat Conduction in Microstructured Solids

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Internal Variables in Thermoelasticity

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 243))

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Abstract

It is demonstrated that the dual internal variable approach is able to predict a hyperbolic character of heat conduction at the microscale. One of the internal variables is identified with microtemperature, i.e., the fluctuation of macroscopic temperature due to the inhomogeneity of the body. The macroscopic heat conduction equation remains parabolic, but coupled with the hyperbolic evolution equation for the microtemperature.

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Acknowledgements

This chapter is derived in part from the article published in Int. J. Heat Mass Trans. (2016) 103:516–520. Copyright\(\copyright \) Elsevier Ltd., available online: http://www.sciencedirect.com/science/article/pii/S0017931016312832

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Authors and Affiliations

  1. Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

  2. Institute of Particle and Nuclear Physics, MTA WIGNER Research Centre for Physics, Budapest, Hungary

    Peter Ván

  3. Department of Energy Engineering, Montavid Thermodynamic Research Group, Budapest University of Technology and Economics, Budapest, Hungary

    Peter Ván

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  1. Arkadi Berezovski
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Correspondence to Arkadi Berezovski .

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Berezovski, A., Ván, P. (2017). Heat Conduction in Microstructured Solids. In: Internal Variables in Thermoelasticity. Solid Mechanics and Its Applications, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-319-56934-5_10

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  • DOI: https://doi.org/10.1007/978-3-319-56934-5_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56933-8

  • Online ISBN: 978-3-319-56934-5

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