Thermomechanical constraints and constitutive formulations in thermoelasticity.

Baek, S.; Srinivasa, A.R.

Displaying similar documents to “Thermomechanical constraints and constitutive formulations in thermoelasticity.”

Towards a theory of second grade thermoelasticity.

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Entropy flux far from equilibrium in solids and in non viscous gases

M. S. Mongiovì, R. A. Peruzza (2004)

Bollettino dell'Unione Matematica Italiana

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One of the main question arising in Extended Thermodynamics concerns the physical meaning of the temperature far from equilibrium. Some authors define thermodynamic temperature $T_{t h}$ the inverse of the coefficient linking the entropy flux with the heat flux. Other authors, instead, define non-equilibrium temperature $θ$ the inverse of the partial derivative of entropy with respect to energy, at density and heat flux constant. The aim of this paper is to determine the expression of entropy...

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Ingo Müller (1974)

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Maugin, G.A. (2000)

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Thermoelasticity without energy dissipation for initially stressed bodies.

Wang, Jun, Slattery, Susan Palmer (2002)

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The Hamilton Principle for Fluid Binary Mixtures with two Temperatures

Henri Gouin, Tommaso Ruggeri (2009)

Bollettino dell'Unione Matematica Italiana

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For binary mixtures of fluids without chemical reactions, but with components having different temperatures, the Hamilton principle of least action is able to produce the equation of motion for each component and a balance equation of the total heat exchange between components. In this nonconservative case, a Gibbs dynamical identity connecting the equations of momenta, masses, energy and heat exchange allows to deduce the balance equation of energy of the mixture. Due to the unknown...

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Supplementary balance laws for Cattaneo heat propagation

Serge Preston (2013)

Communications in Mathematics

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In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (shortly SBL) of the same order (zero) as the system itself and extract the constitutive relations (expression for the internal energy) dictated by the Entropy Principle. The space of all supplementary balance laws (having the functional dimension 8) contains four original balance laws and their deformations depending on 4 functions of temperature ( $λ^{0} (ϑ), K^{A} (ϑ), A = 1, 2, 3$ ). The requirements of the II law...