Skip to main content
SpringerLink
Log in
Book cover

Non-Equilibrium Thermodynamics with Application to Solids pp 1–63Cite as

Fundamentals of Nonequilibrium Thermodynamics

  • Chapter

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 336))

Abstract

Starting out with a survey on different thermodynamical theories concepts of nonclassical thermodynamics such as state space, process, projection, and nonequilibrium contact quantity are discussed. Using the dissipation inequality for discrete systems the existence of a non-negative entropy production is investigated. Internal variables are defined by introducing concepts concerning their properties. Then field formulation of thermodynamics is achieved by use of nonequilibrium contact quantities introduced above. Extended thermodynamics is shortly discussed in comparison with the non-extended one. Material axioms and how to exploit the dissipation inequality are items of the last two chapters.

This is a preview of subscription content, 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   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Schottky, W.: Thermodynamik, 1. Teil Paragrul, Springer-Verlag, Berlin (1929)

    Book  MATH  Google Scholar 

  2. Axelrad, D.R.: Foundations of the Probabilistic Mechanics of Discrete Media, Pergamon Press, Oxford 1984

    MATH  Google Scholar 

  3. Muschik, W.: Thermodynamical Constitutive Laws — Outlines, in: Axelrad, D.R. and Muschik, W. (Eds.): Constitutive Laws and Microstructures, Springer, Berlin 1988

    Google Scholar 

  4. Fick, E. and Sauermann, G.: Quantenstatistik Dynamischer Systeme, Bd. I, Harri Deutsch, Thun 1983

    Google Scholar 

  5. Muschik, W. and Brunk, G.: Int. J. Engng. Sci 15 (1977) 377–389

    Article  MathSciNet  Google Scholar 

  6. Eu, B.C.: J. Chem. Phys. 87 (1987 1220

    Article  Google Scholar 

  7. Meixner, J.: Rheol. Acta 7 (1968) 8

    Article  Google Scholar 

  8. Truesdell, C. and Noll, W.: Handbook of Physics, Vol. III/3, Sect. 79, Springer, Berlin 1965

    Google Scholar 

  9. Muschik, W.: J. Phys. Chem. Solids 49 (1988) 709–720

    Article  Google Scholar 

  10. Meixner, J.: Z. Phys. 219 (1969) 79

    Article  Google Scholar 

  11. Glansdorf, P. and Nicolis, G.: Proc. Nat. Acad. Sci. USA 71 (1974) 197

    Article  Google Scholar 

  12. Eringen, A.C.: Crystal Lattice Defects 7 (1977) 109

    Google Scholar 

  13. Liu, I.S. and Müller, I.: Arch. Rat. Mech. Anal. 83 (1983) 285

    Article  MATH  Google Scholar 

  14. Noll, W.: Arch. Rat. Mech. Anal. 48 (1972) 1

    MATH  MathSciNet  Google Scholar 

  15. Coleman, B.D. and Owen, D.R.: Arch. Rat. Mech Anal. 54 (1974) 1

    MATH  MathSciNet  Google Scholar 

  16. Day, W.A.: The Thermodynamics of Simple Material with Fading Memory, Springer Tracts in Natural Philosophy, Vol. 22, Sect. 3.4., Springer, Berlin 1972

    Book  Google Scholar 

  17. Muschik, W.: J. Non-Equilib. Thermodyn. 4 (1979) 277

    Google Scholar 

  18. Keller, J.U.: Physica 53 (1971) 602

    Article  Google Scholar 

  19. Kestin, J. (Ed.): The Second Law of Thermodynamics, Hutchinson and Ross, Stroudsburg 1976

    Google Scholar 

  20. Kestin, J.: Pure appl. Chem. 22 (1970) 511

    Article  Google Scholar 

  21. Muschik, W.: J. Non-Equilib. Thermodyn. 14 (1989) 173–198

    Google Scholar 

  22. Muschik, W.: Am. J. Phys. 58 (1990) 241

    Article  MathSciNet  Google Scholar 

  23. Clausius R.: Ann. Phys. Chem. 3 (1854)

    Google Scholar 

  24. Carathéodory, C: Math. Ann. 67 (1909) 355

    Article  MathSciNet  Google Scholar 

  25. Born, M.: Phys. Z. 22 (1921) 218

    Google Scholar 

  26. Dunning-Davies, J.: Nuov. Cim. 64B (1969) 82

    Article  Google Scholar 

  27. Landsberg, P.T.: Nature, Lond. 201 (1964) 485

    Article  Google Scholar 

  28. Landsberg, P.T.: Physica Stat. Sol. 1 (1961) 120

    Article  Google Scholar 

  29. Ramsey, N.F.: Phys. Rev. 103 (1956) 20

    Article  MATH  Google Scholar 

  30. Dunning-Davies, J.: J. Phys. A9 (1976) 605

    Google Scholar 

  31. Muschik, W.: Continuum Models of Discrete Systems 4, Brulin, O. and Hsieh, R.K.T. (Eds.), p. 511, North-Holland, Amsterdam 1981

    Google Scholar 

  32. Muschik, W.: in: Spencer, A.J.M. (Ed.): Continuum Models of Discrete Systems, p. 39, Balkema, Rotterdam 1987

    Google Scholar 

  33. Falk, G. and Jung, H.: Axiomatik der Thermodynamik, Handbook of Physics, Vol. III/2, p. 119, Springer, Berlin 1959

    Google Scholar 

  34. Silhavy, M.: Arch. Rat. Mech. Anal. 81 (1983) 221

    Article  MATH  MathSciNet  Google Scholar 

  35. Man, C.-S.: Accad. nazn. Lincei VIII, 69 (1980) 399

    MathSciNet  Google Scholar 

  36. Serrin, J.: New Perspectives in Thermodynamics, p. 3, Springer, Berlin 1986

    Book  MATH  Google Scholar 

  37. Muschik, W.: Aspects of Non-Equilibrium Thermodynamics, sect. 1.1.1, World Scientific, Singapore 1990

    Google Scholar 

  38. Muschik, W.: J. Appl. Sci. 4 (1986) 189

    Google Scholar 

  39. Muschik, W.: ZAMM 63 (1983) T189

    Google Scholar 

  40. see 37. sect. 2.3

    Google Scholar 

  41. Muschik, W.: Arch. Rat. Mech. Anal. 66 (1977) 379

    Google Scholar 

  42. Muschik, W.: J. Non-Equilib. Thermodyn. 4 (1979) 377

    Google Scholar 

  43. Muschik, W. and Fang, J.: Acta Phys. Hung. 66 (1989) 39

    MathSciNet  Google Scholar 

  44. Muschik, W. J. Non-Equilib. Thermodyn. 8 (1983) 219

    Google Scholar 

  45. Valanis, K.C.: Irreversible Thermodynamics of Continuous Media (Internal Variable Theory) CISM Courses and Lectures No. 77, Springer, 1972

    MATH  Google Scholar 

  46. Kluitenberg, G.A.: Plasticity and Nonequilibrium Thermodynamics, in: The Constitutive Law in Thermoplasticity, CISM Courses and Lectures No. 282, Th. Lehmann (Ed.), Springer, 1984, p. 157

    Chapter  Google Scholar 

  47. Kestin, J.: A Course in Thermodynamics, Vol. 1, sect. 8.4,9, Hemisphere Publ. Coop., Washington 1979

    Google Scholar 

  48. Muschik, W.: Z. Phys. Chem. NF 68 (1969) 175

    Article  Google Scholar 

  49. Muschik, W.: in: Recent Developments in Nonequilibrium Thermodynamics by Casas-Vazquez, J., Jou, D. and Lebon, G. (Eds.): Lecture Notes in Physics 199, p. 387, Springer, 1984

    Google Scholar 

  50. Ponter, A.R.S., Bataille, J. and Kestin, J.: J. Méchanique 18 (1979) 511

    MATH  Google Scholar 

  51. Grolig, G.: Plastische Deformationen als Ausdruck mikroskopischer Instabilität, Thesis, Dep. of Mechanics, University Darmstadt, 1985

    Google Scholar 

  52. Müller, W.H. and Muschik, W.: J. Non-Equilib. Thermodyn. 8 (1983) 29, 47

    Google Scholar 

  53. Müller, I.: in Lecture Notes in Physics 199 (see 49) p. 32

    Google Scholar 

  54. Liu, I.S. and Müller, I.: Arch. Rat. Mech. Anal 83 (1983) 285

    Article  MATH  Google Scholar 

  55. Ruggeri, T.: Continuum Mech. Thermodyn. 2 (1990) 163

    Article  MathSciNet  Google Scholar 

  56. Ruggeri, T.: Rend. Sem. Mat. Univ. Pol. Torino, Fasciolo Speciale 1988

    Google Scholar 

  57. Müller, I.: Acta Mechanica 24 (1976) 117

    Article  Google Scholar 

  58. Blenk, S., Ehrentraut, H. and Muschik, W.: Int. J. Engng. Sci. 30 (1992) 1127

    Article  MATH  MathSciNet  Google Scholar 

  59. Muschik, W.: in: Disequilibrium and Self-Organisation, Kilmister, C.W. (Ed.), Reidel, 1986, p. 65

    Chapter  Google Scholar 

  60. Liu, I.S.: Arch. Rat. Mech. Anal. 46 (1972) 131

    MATH  Google Scholar 

  61. Muschik, W. and Ellinghaus, R.: ZAMM 68 (1988) T232

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Technical University of Berlin, Berlin, Germany

    W. Muschik

Authors
  1. W. Muschik
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Technical University, Berlin, Germany

    W. Muschik

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Wien

About this chapter

Cite this chapter

Muschik, W. (1993). Fundamentals of Nonequilibrium Thermodynamics. In: Muschik, W. (eds) Non-Equilibrium Thermodynamics with Application to Solids. International Centre for Mechanical Sciences, vol 336. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4321-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-4321-6_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82453-5

  • Online ISBN: 978-3-7091-4321-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation