Skip to main content
SpringerLink
Log in

On the thermodynamics of systems with nonlocality

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ericksen, J. L., Trans. Soc. Rheology 5, 23 (1961).

    Google Scholar 

  2. Toupin, R. A., Arch. Rational Mech. Anal. 17, 85 (1964).

    Google Scholar 

  3. Mindlin, R. D., Arch. Rational Mech. Anal. 16, 51 (1964).

    Google Scholar 

  4. Green, A. E., & R. S. Rivlin, Arch. Rational Mech. Anal. 17, 113 (1964).

    Google Scholar 

  5. Eringen, A. C., Int. J. Engng. Sci. 2, 205 (1964).

    Google Scholar 

  6. Toupin, R. A., Arch. Rational Mech. Anal. 11, 385 (1962).

    Google Scholar 

  7. Mindlin, R. D., & H. F. Tiersten, Arch. Rational Mech. Anal. 11, 415 (1962).

    Google Scholar 

  8. Green, A. E., & R. S. Rivlin, Arch. Rational Mech. Anal. 16, 325 (1964).

    Google Scholar 

  9. Kunin, I. A., Mechanics of Generalized Continua, p. 321. Berlin-Heidelberg-New York: Springer 1968.

    Google Scholar 

  10. Kröner, E., Int. J. Solids Structures 3, 731 (1967).

    Google Scholar 

  11. Kröner, E., & B. K. Datta, Z. Physik 196, 203 (1966).

    Google Scholar 

  12. Krumhansl, J. A., Mechanics of Generalized Continua, p. 298. Berlin-Heidelberg-New York: Springer 1968.

    Google Scholar 

  13. Edelen, D. G. B., Arch. Rational Mech. Anal. 34, 283 (1969).

    Google Scholar 

  14. Duhem, P., Ann. École Norm. (3) 10, 187 (1893).

    Google Scholar 

  15. Gibbs, J. W., The Scientific Papers of J. Willard Gibbs, Vol. 1. Dover 1961.

  16. Truesdell, C., & R. A. Toupin, The Classical Field Theories. In Handbuch der Physik (Ed. S. Flügge) Vol. III/1. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  17. Edelen, D. G. B., Nonlocal Variations and Local Invariance of Fields. New York: American Elsevier 1969.

    Google Scholar 

  18. Edelen, D. G. B., & N. Laws, On Equations of Motion and Constitutive Relations as Variational Inferences. J. Math. Anal. and Applic., forthcoming.

  19. Gurtin, M. E., Arch. Rational Mech. Anal. 19, 339 (1965).

    Google Scholar 

  20. Ericksen, J. L., Arch. Rational Mech. Anal. 10, 189 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania

    Dominic G. B. Edelen & Norman Laws

  2. Department of Mathematics, Cranfield Institute of Technology, USA

    Dominic G. B. Edelen & Norman Laws

Authors
  1. Dominic G. B. Edelen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Norman Laws
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by A. E. Green

Rights and permissions

Reprints and permissions

About this article

Cite this article

Edelen, D.G.B., Laws, N. On the thermodynamics of systems with nonlocality. Arch. Rational Mech. Anal. 43, 24–35 (1971). https://doi.org/10.1007/BF00251543

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251543

Keywords

Search

Navigation