Skip to main content
SpringerLink
Log in

How many constitutive functions are necessary to determine a thermoelastic material?

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The independence of the constitutive functions of a thermoelastic material compatible with the Clausius-Duhem inequality is analysed. The constitutive functions for the absolute temperature and entropy are shown to be determined (to within a change of a unit for the absolute temperature and the entropy constant) by the constitutive functions for the stress tensor and the heat flux vector. Hence two constitutive functions are sufficient to specify a thermoelastic material.

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

Similar content being viewed by others

References

  1. Coleman B. D., Noll W., Arch. Rational Mech. Anal.13 (1963), 167.

    Google Scholar 

  2. Day W. A., Arch. Rational Mech. Anal.34 (1969), 85.

    Google Scholar 

  3. Day W. A., The thermodynamics of simple materials with fading memory. Springer tracts in natural philosophy, vol. 22. Springer, Berlin-Heidelberg-New York 1972.

    Google Scholar 

  4. Eckart C., Phys. Rev.58 (1940), 267.

    Google Scholar 

  5. šilhavý M., Arch. Rational Mech. Anal.68 (1978), 299.

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, Czechosl. Acad. Sci., Prague, Žitná 25, 115 67, Praha 1, Czechoslovakia

    M. Šilhavý

Authors
  1. M. Šilhavý
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Šilhavý, M. How many constitutive functions are necessary to determine a thermoelastic material?. Czech J Phys 29, 981–996 (1979). https://doi.org/10.1007/BF01603120

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01603120

Keywords

Search

Navigation