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Heat-pulse propagation in thermoelastic systems: application to graphene

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Abstract

We study the consequences of thermoelastic coupling on heat and stress pulse propagation along equilibrium and nonequilibrium reference states. We use a generalized heat-transport equation accounting for relaxational and nonlinear effects. We compare the obtained results with those for heat pulses without thermoelastic coupling and with previous results obtained by using the relaxational Maxwell–Cattaneo equation for the heat flux without nonlinear terms. The difference of the speed of heat pulses along and against an imposed average heat flux in nonequilibrium states is also obtained.

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Acknowledgements

A. S. cordially thanks the Department of Physics of the Autonomous University of Barcelona (Spain) for the received hospitality in the period from April 18 to 29, 2017. A. S. acknowledges the University of Salerno for the financial supports under grant no. 300395FRB16CIARL and grant “Fondo per il finanziamento iniziale dell’attività di ricerca”. V. A. C. acknowledges the financial support of the University of Basilicata under grants RIL 2013 and RIL 2015. Both authors also acknowledge the Italian National Group of Mathematical Physics (GNFM-INdAM).

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  1. Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, Italy

    A. Sellitto

  2. Department of Mathematics, Computer Science and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100, Potenza, Italy

    V. A. Cimmelli

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Sellitto, A., Cimmelli, V.A. Heat-pulse propagation in thermoelastic systems: application to graphene. Acta Mech 230, 121–136 (2019). https://doi.org/10.1007/s00707-018-2274-4

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