Summary
The concept of internal variables is axiomatically introduced into nonequilibrium thermodynamics for avoiding small state spaces showing after effects. The connection between internal variables, projectors onto equilibrium subspace, and accompanying processes is demonstrated for discrete systems. Relaxation variables, chemical reactions, and Kestin-Ponter’s model of plasticity are discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Valanis K.C., Irreversible Thermodynamics of Continuous Media (Internal Variable Theory), CISM Courses and Lectures No. 77, Springer (1972).
Kluitenberg G.A., Plasticity and Nonequilibrium Thermodynamics In: The Constitutive Law in Thermoplasticity, CISM Courses and Lectures No. 282, Th. Lehmann (Ed.), Springer (1984), 157.
Muschik W., Aspects of Non-Equilibrium Thermodynamics, 6 Lectures on Fundamentals and Methods, Micromechanics Research Laboratory, Dep. Mech. Engng., McGill University, World Scientific (1990).
Kestin J., A Course in Thermodynamics, Hemisphere Publ. Coop., Washington, 1979, Vol. 1, sect. 8.4.9.
Coleman B.D., and Gurtin M.E., Thermodynamics with Internal State Variables, J. Chem. Phys. 47 (1967) 597.
Schottky W., In: Thermodynamik, Erster Teil § 1, Springer (1929).
Muschik W., Existence of non-negative entropy production, in: Continuum Models of Discrete Systems (A.J.M. Spencer (Ed.)), Balkema (1987), 39.
Muschik W., Fundamentals of Dissipation Inequalities, J. Non–Equilib. Thermodyn. 4 (1979), 277, 377.
Muschik W., Empirical Foundation and Axiomatic Treatment of Non-Equilibrium Temperature, Arch. Rat. Mech. Anal. 66 (1977), 379.
Muschik W., Thermodynamical Theories: Survey and Comparison, J. Appl. Sci 4 (1986), 189.
Muschik W., Eine phänomenologische Begründung der Onsagerschen Reziprozitätsbeziehungen für die nichtlineare unimolekulare Dreiecksreaktion, Z. Phys. Chem. NF 68(1969), 175.
Muschik W., Contact temperature, a dynamical analogue of the thermostatic temperature, in: Continuum Models of Discrete Systems, Brulin 0. and Hsieh R.K.T. (Eds.), North-Holland (1981), 511.
Ponter A.R.S., Bataille, J., and Kestin, J., A thermodynamic model for the time dependent plastic deformation of solids, J. Mecanique 18 (1979), 511.
Grolig G., Plastische Deformation als Ausdruck mikroskopischer Instabilität Thesis, Dep. of Mechanics, University Darmstadt (1985), Germany.
Heß S., Irreversible thermodynamics of nonequilibrium alignment phenomena in molecular liquids and liquid crystals, Z. Naturforsch. 30a (1975), 728.
Muschik W., A variational principle in thermodynamics of discrete systems and Landau equations, In: G. Maugin (Ed.), Continuum Models and Discrete Systems, Proceedings of the 6th Symposium, Dijon June 26–29, 1989, Longman (to be published) Vol. 2, p. 273.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Muschik, W. (1991). Internal Variables in Non-Equilibrium Thermodynamics. In: Axelrad, D.R., Muschik, W. (eds) Recent Developments in Micromechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84332-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-84332-7_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84334-1
Online ISBN: 978-3-642-84332-7
eBook Packages: Springer Book Archive