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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.

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References

  1. De Groot, S. R.: Thermodynamics of Irreversible Processes. Amsterdam: North-Holland Publ. Co. 1952.

    Google Scholar 

  2. Prager, W.: Introduction to Mechanics of Continua. Boston: Ginn and Co. 1961.

    MATH  Google Scholar 

  3. De Groot, S. R., and P. Mazur: Non-equilibrium Thermodynamics. Amsterdam: North-Holland Publ. Co. 1962.

    Google Scholar 

  4. Coleman, B. D., and W. Noll: Arch. Ratl Mech. Anal. 13, 167 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  5. Ziegler, H.: Summer Course, Centro Internazionale Matematico Estivo. 1963. Roma: Ist. Matem. dell’Università.

    Google Scholar 

  6. Ziegler, H.: 1964 Minta Martin Lecture, Mass. Inst. of Technology and American Inst. of Aeronautics and Astronautics.

    Google Scholar 

  7. Coleman, B. D., and V. Mizel: Arch. Ratl Mech. Anal. 13, 245 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  8. Coleman, B. D., and M. E. Gurtin: Arch. Ratl Mech. Anal. 19, 266 and 317 (1965).

    Google Scholar 

  9. Onsager, L.: Phys. Rev. 37, 405 (1931).

    Article  ADS  MATH  Google Scholar 

  10. Onsager, L.: Phys. Rev. 38, 2265 (1931).

    Article  ADS  MATH  Google Scholar 

  11. Coleman, B. D., and C. Truesdell: J. Chem. Phys. 33, 28 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  12. Truesdell, C.: Six Lectures on Modern Natural Philosophy. Berlin-HeidelbergNew York: Springer. 1966.

    MATH  Google Scholar 

  13. Gage, D. H., and S. J. Kline: Report IT-1, Thermosciences Div., Dept. Mech. Engng, Stanford University.

    Google Scholar 

  14. Ziegler, H.: Ing. Arch. 30, 410 (1961).

    Article  MathSciNet  Google Scholar 

  15. Ziegler, H.: Ing. Arch. 31, 317 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  16. Ziegler, H.: In: Sneddon, I. N. and R. HILL, Progress in Solid Mechanics, 4. 91 (1963).

    Google Scholar 

  17. Biot, M. A.: J. Appl. Phys. 27, 240 (1956).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. 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.

    Google Scholar 

  19. Odqvist, F. K. G.: Proc. 4th Intern. Congress of Applied Mechanics. p. 228. Cambridge, U. K.: 1934.

    Google Scholar 

  20. 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.

    Google Scholar 

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© 1968 Springer-Verlag/Wien

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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

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  • 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

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