Abstract
An interpretation of a non-equilibrium thermodynamic approach of irreversible processes (called DNLR) in terms of the Hamiltonian principle of least action is proposed. It is shown that one possible choice for building the Lagrangian kernel is the material derivative of the internal energy density, obtained from the generalised Gibbs relation. This general framework is illustrated for the transport equations (heat and diffusion) and the rheology of solids.
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© 2000 Kluwer Academic Publishers
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Rahouadj, R., Ganghoffer, J.F., Cunat, C. (2000). Constitutive laws, relaxation thermodynamics and Lagrange-formalism. In: Maugin, G.A., Drouot, R., Sidoroff, F. (eds) Continuum Thermomechanics. Solid Mechanics and Its Applications, vol 76. Springer, Dordrecht. https://doi.org/10.1007/0-306-46946-4_28
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DOI: https://doi.org/10.1007/0-306-46946-4_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6407-8
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