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Coupled Problems in the Linear Theory of Thermoelasticity

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Thermomechanics in Solids

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 223))

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Abstract

The purpose of this introductory lecture is to present a brief account of the linear theory of thermoelasticity starting with a discussion of the basic equations of (non-linear) thermoelasticity and deriving the coupled equations of linear thermoelasticity from them. The treatment leans heavily on the articles [1] and [2].

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References

  1. GURTIN,M.E., The Linear Theory of Elasticity: In Handbuch der Physik, edit. by C. Truesdell (Springer, Berlin, 1972).

    Google Scholar 

  2. CARLSON, D.E., Linear Thermoelasticity: In Handbuch der Physik, edit. by C. Truesdell (Springer, Berlin, 1972).

    Google Scholar 

  3. COLEMAN, B.D., NOLL, W., Arch. Rational Mech. Anal. 13 (1963), 167.

    Article  MATH  MathSciNet  Google Scholar 

  4. COLEMAN, B.D., MIZEL, V.J., J. Chem. Phys. 40 (1964), 1116.

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  6. TRUESDELL, C., NOLL, W., The Non-Linear Field Theories of Mechanics. In Handbuch der Physik, III/3, edit. by S. Flügge ( Springer, Berlin, 1965 ).

    Google Scholar 

  7. COLEMAN, B.D., MIZEL, V.J., Arch. Rational Mech. Anal. 13 (1963), 245.

    Article  MATH  MathSciNet  Google Scholar 

  8. DUHAMEL, J.M.C., J. Ecole Polytechn. 15 (1837) 1.

    Google Scholar 

  9. NEUMANN, F.E., Abhandl. k. Akad. Wiss. zu Berlin (1841) 2. Teil,1. see also: NEUMANN, F.E., Vorlesungen über die Theorie der Elasticität, ( Teubner, Leipzig, 1885 ).

    Google Scholar 

  10. VOIGT, W., Kompendium der theoretischen Physik, Bd. 1 (von Veit, Leipzig, 1895 ).

    Google Scholar 

  11. JEFFREYS, H., Proc. Cambridge Phil. Soc. 26 (1930), 101.

    MATH  Google Scholar 

  12. LESSEN, M., DUKE, C.E., Proc. 1st Midwest Conf. on Solid Mech. pp. 14–18; (University of Illinois, 1953 ).

    Google Scholar 

  13. BIOT, M.A., J.Appl. Phys. 27 (1956), 240.

    Article  MATH  MathSciNet  Google Scholar 

  14. ERINGEN, A.C., Mechanics of Continua, ( Wiley, New York, 1967 ).

    MATH  Google Scholar 

  15. MELAN, E., PARKUS, H., Wärmespannungen, (Springer, Wien, 1953 ).

    Google Scholar 

  16. BOLEY, B.A., WEINER, H.J., Theory of Thermal Stresses, ( Wiley, New York, 1960 ).

    MATH  Google Scholar 

  17. NOWACKI, W., Thermoelasticity, ( Pergamon, Oxford, 1962 ).

    Google Scholar 

  18. KOVALENKO, A.D., Thermoelasticity, ( Wolters-Noordhoof, Gröningen, 1969 ).

    MATH  Google Scholar 

  19. CRISTEA, M., Rev. Univ. “C.I. Parhon” Ploiteh, Bucaresti, 1 (1952), 72.

    Google Scholar 

  20. DERESIEWICZ, H., Proc. 3rd. U.S. National Congress Appl. Mech., 287 ( Brown University, Providence, 1958 ).

    Google Scholar 

  21. ZORSKI, H., Bull. Acad. Polon. Sci. Ser. Sci. Techn. 6 (1958), 331.

    Google Scholar 

  22. STERNBERG, E., Arch. Rational Mech. Anal. 6 (1960), 34.

    MATH  MathSciNet  Google Scholar 

  23. NOWACKI, W., Bull. Acad. Polon. Sci. Ser. Sci. Techn. 15 (1967), 583.

    Google Scholar 

  24. PODSTRIGAN, Y.S., P.M.M. 6 (1960), 215.

    Google Scholar 

  25. NOWACKI, W., Bull. Acad. Polon. Sci. Ser. Sci. Techn. 12 (1964), 465.

    Google Scholar 

  26. RUDIGER, D., Osterr. Ing.-Arch. 18 (1964), 121.

    MathSciNet  Google Scholar 

  27. IONESCU-CAZIMIR, V., Bull. Acad. Polon. Sci. Ser. Sci. Techn. 12 (1964), 565.

    Google Scholar 

  28. WEINER, J.H., Quart. Appl. Math. 15 (1957), 102.

    MATH  MathSciNet  Google Scholar 

  29. KNOPS, R.J., PAYNE, L.E., Int. J. Solids Structures 6 (1970), 1173.

    Google Scholar 

  30. BRUN, L., J. Mécanique 8 (1969), 167.

    MATH  MathSciNet  Google Scholar 

  31. DAFERMOS, C.M., Arch, Rational Mech. Anal. 29 (1968), 241.

    MATH  MathSciNet  Google Scholar 

  32. IESAN, D., Analele Stiint. Univ. “A.I. Cuza” Iasi, Sect. I. Matematica, 12 (1966), 439.

    Google Scholar 

  33. NICKELL, R.E., SACKMAN, J.L., Quart. Appl. Math. 26 (1968), 11.

    MATH  MathSciNet  Google Scholar 

  34. RAFALSKI, P., Int. J. Engng. Sci., 6 (1968), 465.

    Article  MATH  Google Scholar 

  35. LESSEN, M., Quart. Appl. Math. 15 (1957), 105.

    MATH  MathSciNet  Google Scholar 

  36. DERESIEWICZ, H., J. Acoust. Soc. Am. 29 (1957), 204.

    Google Scholar 

  37. CHADWICK, P., SNEDDON, I.N., J. Mech. Phys. Solids 6 (1958), 223.

    Article  MATH  Google Scholar 

  38. CHADWICK, P., POWDRILL, B., Int. J. Engng. Sci. 3 (1965), 561.

    Article  MathSciNet  Google Scholar 

  39. SNEDDON, I.N., The Linear Theory of Thermoelasticity, CISM Courses and Lectures No. 119 ( Springer, Wien, 1974 ).

    Google Scholar 

  40. SNEDDON, I.N., Proc. Roy. Soc. Edinburgh A65 (1958), 121.

    Google Scholar 

  41. EASON, G., SNEDDON, I.N., Proc. Roy. Soc. Edinburgh A65 (1958), 143.

    MathSciNet  Google Scholar 

  42. LOCKETT, F.J., SNEDDON, I.N., Proc. Edinburgh Math. Soc. (ii) 11 (1959), 237.

    MATH  MathSciNet  Google Scholar 

  43. CHADWICK, P., Progress in Solid Mechanics, vol. l,p. 265. ( North Holland Publishing Co., Amsterdam, 1960 ).

    Google Scholar 

  44. PARKUS, H., Instationare Warmespannungen (Springer, Wien, 1959 ).

    Google Scholar 

  45. MEIXNER, J., Arch. Rational Mech. Anal. 39 (1970), 108.

    MATH  MathSciNet  Google Scholar 

  46. MULLER, I., Arch. Rational Mech. Anal. 34 (1969), 259.

    Google Scholar 

  47. GURTIN, M.E., PIPKIN, A.C:, Arch. Rational Mech. Anal. 31 (1968), 113.

    Google Scholar 

  48. ROETMAN, E.L., Int.J. Engng. Sci. (in course of publication).

    Google Scholar 

  49. FULKS, W., GUENTHER, R.B., Czech. Math. J. 21 (1971), 683.

    MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. University of Glasgow, UK

    Ian N. Sneddon

Authors
  1. Ian N. Sneddon
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Editors and Affiliations

  1. University of Warsaw, Warszawa, Poland

    W. Nowacki (Vice President of the Polish Academy of Sciences) (Vice President of the Polish Academy of Sciences)

  2. University of Glasgow, Great Britain

    I. N. Sneddon (Professor of Mathematics) (Professor of Mathematics)

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© 1977 Springer-Verlag Wien

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Sneddon, I.N. (1977). Coupled Problems in the Linear Theory of Thermoelasticity. In: Nowacki, W., Sneddon, I.N. (eds) Thermomechanics in Solids. International Centre for Mechanical Sciences, vol 223. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4354-4_1

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  • DOI: https://doi.org/10.1007/978-3-7091-4354-4_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81343-0

  • Online ISBN: 978-3-7091-4354-4

  • eBook Packages: Springer Book Archive

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