Thermomechanical constraints and constitutive formulations in thermoelasticity.
Baek, S., Srinivasa, A.R. (2003)
Mathematical Problems in Engineering
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Displaying similar documents to “Towards a theory of second grade thermoelasticity.”
Thermomechanical constraints and constitutive formulations in thermoelasticity.
Towards an analytical mechanics of dissipative materials.
Maugin, G.A. (2000)
Rendiconti del Seminario Matematico
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Thermoelasticity without energy dissipation for initially stressed bodies.
Wang, Jun, Slattery, Susan Palmer (2002)
International Journal of Mathematics and Mathematical Sciences
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A constitutive formulation for the linear thermoelastic behavior of arbitrary fiber-reinforced composites.
Usal, Melek (2010)
Mathematical Problems in Engineering
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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 the inverse of the coefficient linking the entropy flux with the heat flux. Other authors, instead, define non-equilibrium temperature 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...
On thermodynamics of a gas with vibrating molecules
Ingo Müller (1974)
Annales de l'I.H.P. Physique théorique
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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...
On a covariant formulation of dissipative phenomena
D. Pavón, D. Jou, J. Casas-Vázquez (1982)
Annales de l'I.H.P. Physique théorique
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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 (). The requirements of the II law...