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Summary

A continuum theory of deformation and flow is presented, that is based on the principle of conservation of mass, the first and second law of thermodynamics, the concepts of a local thermodynamic state and of a local geometric natural reference state, a principle of determinism and on a postulate concerning the production of entropy. As special cases are considered gases, elastic materials, simple solids and liquids. Stress is in this theory a thermodynamically defined quantity.

Keywords

Energy Dissipation Internal Energy Thermodynamic State Thermodynamic System Dissipation Function 
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References

  1. [1]
    Besseling, J. F.: Nat. Aero. Res. Inst. (Amsterdam) Report S-410, 1953.Google Scholar
  2. [2]
    Besseling, J. F.: J. Appl. Mech. 25, 4, 529 (1958).MATHGoogle Scholar
  3. [3]
    Besseling, J. F.: Aeronautics and Astronautics 1960, 247–266.Google Scholar
  4. [4]
    Besseling, J. F.: In: The Folke Odqvist Volume. Stockholm: Almqvist and Wiksell/Gebers. 1966.Google Scholar
  5. [5]
    Coleman, B. D., and W. Noll: Arch. Ratl Mech. Anal. 4, 97–128 (1959).MathSciNetMATHCrossRefGoogle Scholar
  6. [6]
    Eckart, C.: Phys. Rev. 73, 2, 373–382 (1948).MathSciNetADSMATHCrossRefGoogle Scholar
  7. [7]
    Gilbarg, D., and D. Paolucci: J. Ratl Mech. Anal. 2, 617–642 (1953).MathSciNetMATHGoogle Scholar
  8. [8]
    Jaumann, G.: Sitzungs-Ber. Akad. Wiss. (Wien) 110, 120 (1911).Google Scholar
  9. [9]
    Prandtl, L.: Proc. 1st Int. Congr. Appl. Mech. (Delft) 43 (1924).Google Scholar
  10. [10]
    Reuss, A.: Z. A. M. M. 10, 266 (1930).MATHGoogle Scholar
  11. [11]
    Truesdell, C.: J. Ratl Mech. Anal. 1, 1, 125–300MathSciNetMATHGoogle Scholar
  12. Truesdell, C.: J. Ratl Mech. Anal. 1, 1, 593–616 (1952).Google Scholar
  13. [12]
    Truesdell, C. and R. A. Toupin: Handbuch der Physik. Vol. III/1. Berlin—GöttingenHeidelberg: Springer. 1960.MATHGoogle Scholar
  14. [13]
    Truesdell, C. and W. Noll: Handbuch der Physik. Vol. III/3. Berlin—GöttingenHeidelberg: Springer. 1965.Google Scholar
  15. [14]
    Ziegler, H.: Ing. Arch. 30, 410 (1961).MathSciNetCrossRefGoogle Scholar
  16. [15]
    Ziegler, H.: Rheologica Acta 2 (3), 230–235 (1962).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag/Wien 1968

Authors and Affiliations

  • J. F. Besseling
    • 1
  1. 1.DelftNetherlands

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