Summary
It is known that Onsager’s symmetry relations for linear irreversible processes are without meaning unless a criterion for the proper choice of fluxes and forces is given. Author proposes such a criterion. He then establishes some extremum principles which are equivalent to Onsager’s theory. These principles are compared with former ones, and it is shown that they provide a basis for the generalization of Onsager’s theory to nonlinear processes.
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
De Groot, S. R.: Thermodynamics of Irreversible Processes. Amsterdam: North-Holland Publ. Co. 1952.
Prager, W.: Introduction to Mechanics of Continua. Boston: Ginn and Co. 1961.
De Groot, S. R., and P. Mazur: Non-equilibrium Thermodynamics. Amsterdam: North-Holland Publ. Co. 1962.
Coleman, B. D., and W. Noll: Arch. Ratl Mech. Anal. 13, 167 (1963).
Ziegler, H.: Summer Course, Centro Internazionale Matematico Estivo. 1963. Roma: Ist. Matem. dell’Università.
Ziegler, H.: 1964 Minta Martin Lecture, Mass. Inst. of Technology and American Inst. of Aeronautics and Astronautics.
Coleman, B. D., and V. Mizel: Arch. Ratl Mech. Anal. 13, 245 (1963).
Coleman, B. D., and M. E. Gurtin: Arch. Ratl Mech. Anal. 19, 266 and 317 (1965).
Onsager, L.: Phys. Rev. 37, 405 (1931).
Onsager, L.: Phys. Rev. 38, 2265 (1931).
Coleman, B. D., and C. Truesdell: J. Chem. Phys. 33, 28 (1960).
Truesdell, C.: Six Lectures on Modern Natural Philosophy. Berlin-HeidelbergNew York: Springer. 1966.
Gage, D. H., and S. J. Kline: Report IT-1, Thermosciences Div., Dept. Mech. Engng, Stanford University.
Ziegler, H.: Ing. Arch. 30, 410 (1961).
Ziegler, H.: Ing. Arch. 31, 317 (1962).
Ziegler, H.: In: Sneddon, I. N. and R. HILL, Progress in Solid Mechanics, 4. 91 (1963).
Biot, M. A.: J. Appl. Phys. 27, 240 (1956).
Drucker, D. C.: In: Reiner, M., and D. Abir, Proc. Intern. Sympos. on Second-order effects in Elasticity, Plasticity and Fluid Dynamics New York-London: Pergamon Press. 1964.
Odqvist, F. K. G.: Proc. 4th Intern. Congress of Applied Mechanics. p. 228. Cambridge, U. K.: 1934.
Slibar, A., and P. R. Paslay: In: Reiner, M., and D. Abir, IUTAM-Symp. on Second-order effects in Elasticity, Plasticity and Fluid Dynamics. p. 314. New York-London: Pergamon Press. 1964.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1968 Springer-Verlag/Wien
About this paper
Cite this paper
Ziegler, H. (1968). A Possible Generalization of Onsager’s Theory. In: Parkus, H., Sedov, L.I. (eds) Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids. IUTAM Symposia. Springer, Vienna. https://doi.org/10.1007/978-3-7091-5581-3_29
Download citation
DOI: https://doi.org/10.1007/978-3-7091-5581-3_29
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-5583-7
Online ISBN: 978-3-7091-5581-3
eBook Packages: Springer Book Archive