Skip to main content
SpringerLink
Log in

A mixture of two simple materials

Ein Gemisch von zwei einfachen Stoffen

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

Constitutive relations for a mixture of two simple materials with fading memory are derived, based on the thermodynamical theory proposed byGreen andNaghdi [1]. Special attention is devoted to a mixture of two simple fluids the motion of which has been slow in recent past.

Zusammenfassung

Auf der Grundlage der thermodynamischen Theorie vonGreen undNaghdi [1] werden die Materialgleichungen für ein Gemisch von zwei einfachen Stoffen hergeleitet. Besonders untersucht wird ein Gemisch von zwei einfachen Flüssigkeiten, dessen Bewegung in der jüngsten Vergangenheit langsam war.

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. Green, A. E. andP. M. Naghdi: On basic equations for mixtures. Quart. J. Mech. Appl. Math.22, 427 (1969).

    Google Scholar 

  2. Truesdell, C. andR. A. Toupin: The classical field theories. Handbuch der Physik Bd. III/1 (Flügge, S., ed.). Berlin-Göttingen-Heidelberg: Springer. 1960.

    Google Scholar 

  3. Green, A. E. andP. M. Naghdi: A dynamical theory of interacting continua. Int. J. Engng. Sci.3, 231 (1965).

    Google Scholar 

  4. Müller, I.: A thermodynamic theory of mixtures of fluids. Arch. Rat. Mech. Anal.28, 1 (1968).

    Google Scholar 

  5. Green, A. E. andP. M. Naghdi: A note on mixtures. Int. J. Engng. Sci.6, 361 (1968).

    Google Scholar 

  6. Crochet, M. J. andP. M. Naghdi: On constitutive equations for flow of fluid through an elastic solid. Int. J. Engng. Sci.4, 383 (1966).

    Google Scholar 

  7. Green, A. E. andT. R. Steel: Constitutive equations for interacting continua. Int. J. Engng. Sci.4, 483 (1966).

    Google Scholar 

  8. Mills, N.: On a theory of multicomponent mixtures. Quart. J. Mech. Appl. Math.20, 499 (1967).

    Google Scholar 

  9. Steel, T. R.: Application of a theory of interacting continua. Quart. J. Mech. Appl. Math.20, 57 (1967).

    Google Scholar 

  10. Coleman, B. D.: Thermodynamics of materials with memory. Arch. Rat. Mech. Anal.17, 1 (1964).

    Google Scholar 

  11. Coleman, B. D. andW. Noll: Foundations of linear viscoelasticity. Rev. Mod. Phys.33, 239 (1961).

    Google Scholar 

  12. Crochet, M. J. andP. M. Naghdi: A class of simple solids with fading memory. Int. J. Engng. Sci.7, 1173 (1969).

    Google Scholar 

  13. Coleman, B. D. andV. J. Mizel: Norms and semi groups in the theory of fading memory. Arch. Rat. Mech. Anal.23, 87 (1966).

    Google Scholar 

  14. Craine, R. E., A. E. Green andP. M. Naghdi: A mixture of viscous elastic materials with different constituent temperatures. Quart. J. Mech. Appl. Math.23, 171 (1970).

    Google Scholar 

  15. Truesdell, C. andW. Noll: The nonlinear field theories of mechanics. Handbuch der Physik, Bd. III/3 (Flügge, S., ed.). Berlin-Heidelberg-New York: Springer. 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Mécanique, University of Louvain, 300 Celestijnenlaan, Héverlée, Louvain, Belgium

    M. J. Crochet

Authors
  1. M. J. Crochet
    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

Crochet, M.J. A mixture of two simple materials. Acta Mechanica 12, 189–208 (1971). https://doi.org/10.1007/BF01277583

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01277583

Keywords

Search

Navigation