Skip to main content
SpringerLink
Log in

Thermodynamics and Wave Propagation in Non-Linear Materials with Memory

  • Conference paper
Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

In the past year several articles have appeared on the theory of propagating singular surfaces in non-linear dissipative materials1. Since non-equilibrium thermodynamics plays a basic role in this infant subject, we have prepared for this symposium a survey of its most developed part: the theory of one-dimensional waves in materials which do not conduct heat but have long-range viscoelastic memory.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jououet, E.: C. R. Acad. Sci. Paris 171, 461–464, 512–515, 789–791, 904–907. 1920

    Google Scholar 

  2. Bethe, H.: Office of Scientific Research and Development, Division B, Report No. 545. 1942

    Google Scholar 

  3. Courant, R., and K. O. Friedrichs: Supersonic Flow and Shock Waves. New York: Interscience. 1948

    MATH  Google Scholar 

  4. Weyl, H.: Comm. Pure. Appl. Math. 2, 103–122. 1949

    Article  MathSciNet  MATH  Google Scholar 

  5. Ericksen, J. L.: J. Ratl Mech. Anal. 2, 329–337. 1953

    MathSciNet  MATH  Google Scholar 

  6. Thomas, T. Y.: J. Math. Mech. 6, 455–469. 1957

    MathSciNet  MATH  Google Scholar 

  7. Serrin, J.:1959 Mathematical Principles of Classical Fluid Mechanics.].n: Encyclopedia of Physics, Vol. VIII/1, ed. by S. Flügge. Berlin—Göttingen—Heidelberg: Springer.

    Google Scholar 

  8. Coleman, B. D., and W. NoLL: 1960 Arch. Ratl Mech. Anal. 6, 355–370.

    Article  MATH  Google Scholar 

  9. Truesdell, C., and R. A. Toupin: The Classical Field Theories. In: 1960 Encyclopedia of Physics, Vol. III/1, ed. by S. FLÜGGE. Berlin—Göttingen —Heidelberg: Springer.

    Google Scholar 

  10. Coleman, B. D., and W. NoLL: Reviews Mod. Phys. 33, 239–249 (1961); erratum: ibid. 36, 1103 (1964).

    Article  ADS  Google Scholar 

  11. Truesdell, C.: 1961 Arch. Ratl Mech. Anal. S, 263–296.

    Article  MathSciNet  Google Scholar 

  12. Coleman, B. D.: 1964 Arch. Ratl Mech. Anal. 17, 1–46, 230–254.

    Google Scholar 

  13. Green, W. A.: 1964 Arch. Ratl Mech. Anal. 16, 79–89.

    Article  MATH  Google Scholar 

  14. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Arch. Ratl Mech. Anal. 19, 1–19.

    MathSciNet  MATH  Google Scholar 

  15. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Arch. Ratl Mech. Anal. 19, 239–265.

    Article  MathSciNet  MATH  Google Scholar 

  16. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Arch. Ratl Mech. Anal. 19, 266–298.

    Article  MathSciNet  Google Scholar 

  17. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Arch. Ratl Mech. Anal. 19, 317–338.

    MathSciNet  MATH  Google Scholar 

  18. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Thermodynamics and Wave Propagation. Report No. 100, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, April 1965.

    Google Scholar 

  19. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 Thermodynamics and One-Dimensional Shock Waves in Materials with Memory. Report No. 3, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, August, 1965. Proc. Royal Soc. A 292, 562–574.

    Google Scholar 

  20. Coleman, B. D., M. E. Gurtin and I. Herrera R.: 1965 I. Herrera R. and C. Truesdell: Wave Propagation in Dissipative Materials. New York: Springer.

    Google Scholar 

  21. Truesdell, C., and W. Noll: 1965 The Non-Linear Field Theories of Mechanics. In: Encyclopedia of Physics, Vol. I11/2, ed. by S. FLÜGGE. Berlin—Göttingen — Heidelberg: Springer.

    Google Scholar 

  22. Varley, E.: 1965 Arch. Ratl Mech. Anal. 19, 215–225.

    Article  MathSciNet  MATH  Google Scholar 

  23. Varley, E.:and J. Dunwoody: 1965 J. Mech. Phys. Solids 13, 17–28.

    Google Scholar 

  24. Coleman, B. D., and V. J. Mizel•1966 Arch. Ratl Mech. Anal. 23, 87–123.

    Google Scholar 

  25. J. M. Greenberg, and M. E. Gurtin: 1966 Arch. Ratl Mech. Anal. 22, 333 to 354.

    Google Scholar 

  26. Pipkin, A. C.: 1966 Quart. Appl. Math. 23, 297–303.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Pittsburgh, Pa., USA

    B. D. Coleman & M. E. Gurtin

Authors
  1. B. D. Coleman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. E. Gurtin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Technische Hochschule Wien, Karsplatz 13, A-1040, Wien, Austria

    H. Parkus (Vice-Chairman) (Vice-Chairman)

  2. National Committee on Theoretical and Applied Mechanics, Leningrad Avenue 7, A-40, Moscow, USSR

    L. I. Sedov (Chairman) (Chairman)

Rights and permissions

Reprints and permissions

Copyright information

© 1968 Springer-Verlag/Wien

About this paper

Cite this paper

Coleman, B.D., Gurtin, M.E. (1968). Thermodynamics and Wave Propagation in Non-Linear Materials with Memory. In: Parkus, H., Sedov, L.I. (eds) Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids. IUTAM Symposia. Springer, Vienna. https://doi.org/10.1007/978-3-7091-5581-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-5581-3_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-5583-7

  • Online ISBN: 978-3-7091-5581-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation