Abstract
It is shown how dual weakly non-local internal variables and extra entropy fluxes can be introduced in the framework of canonical thermomechanics on the material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.
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Acknowledgements
This chapter is derived in part from the article published in Arch. Appl. Mech. (2011) 81: 229–240. Copyright\(\copyright \) Springer-Verlag, available online: https://link.springer.com/article/10.1007/s00419-010-0412-0
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Berezovski, A., Ván, P. (2017). Dual Internal Variables . In: Internal Variables in Thermoelasticity. Solid Mechanics and Its Applications, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-319-56934-5_4
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DOI: https://doi.org/10.1007/978-3-319-56934-5_4
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