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Controllable states of rigid heat conductors

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Zusammenfassung

Es werden stationäre Temperaturfelder bestimmt, welche in allen isotropen homogenen starren Körpern ohne äussere Wärmezufuhr möglich sind. Wenn der Wärmestrom nur von der Temperatur und vom Temperaturgradienten abhängt, muss das Temperaturfeld gleichförmig sein. Hängt der Wärmestrom nur vom Temperaturgradienten ab, dann muss das Temperaturfeld schraubenförmig sein. Für den letzten Fall werden Beispiele gegeben.

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References

  1. M. Singh andA. C. Pipkin,Note on Ericksen's Problem, Z. angew. Math. Phys.16, 706 (1965).

    Google Scholar 

  2. C. Truesdeli,The Elements of Continuum Mechanics (Springer-Verlag New York, New York 1966).

    Google Scholar 

  3. J. L. Ericksem,Deformations Possible in Every Isotropic, Incompressible, Perfectly Elastic Body, Z. angew. Math. Phys.5, 466 (1954).

    Google Scholar 

  4. R. S. Rivlin,Large Elastic Deformations of Isotropic Materials IV. Further Developments of the General Theory, Phil. Trans. R. Soc. London [A]241, 379 (1948).

    Google Scholar 

  5. R. S. Rivlin andD. W. Saunders,Large Elastic Deformations of Isotropic Materials VII. Experiments on the Deformation of Rubber, Phil. Trans. R. Soc. London [A]243, 251 (1951).

    Google Scholar 

  6. M. Singh andA. C. Pipkin,Controllable States of Elastic Dielectrics, Arch. Ration. Mech. Analysis21, 169 (1966).

    Google Scholar 

  7. B. D. Coleman andV. J. Mizel,Thermodynamics and Departures from Fourier's Law of Heat Conduction, Arch. rat. Mech. Analysis13, 245 (1963).

    Google Scholar 

  8. M. E. Gurtin andW. O. Williams,An Axiomatic Foundation for Continuum Thermodynamics, Arch. Ration. Mech. Analysis26, 83 (1967).

    Google Scholar 

  9. C. Truesdell andW. Noll,The Non-Linear Field Theories of Mechanics, in:Handbuch der Physik, III/3,S. Flügge, ed. (Springer-Verlag, Berlin 1965).

    Google Scholar 

  10. R. C. Prim,Steady Rotational Flow of Ideal Gases, J. rat. Mech. Analysis1, 425 (1952).

    Google Scholar 

  11. G. Hamel,Potentialströmungen mit konstanter Geschwindigkeit, Sber. preuss. Akad. Wiss., phys.-math. Kl.1937, 5.

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Petroski, H.J., Carlson, D.E. Controllable states of rigid heat conductors. Journal of Applied Mathematics and Physics (ZAMP) 19, 372–376 (1968). https://doi.org/10.1007/BF01601480

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