Thermoelastic Effects on Shells

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 18)


In the entire text to this point, attention has been focused on the isothermal elastic behavior of classical shells. The effect that temperature distributions within the shell may have on stresses, strains and displacements has not been discussed.


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  1. 8.1.
    Morse, P. M. and H. Feshbach, “Methods of Theoretical Physics,” Part 1, Chapter 5, McGraw-Hill Book Co., Inc., New York, 1553, pp. 495–562.Google Scholar
  2. 8.2.
    Brull, M. A. and J. R. Vinson, “Approximate Three-Dimensional Solutions for Transient Temperature Distribution in Shells of Revolution,” Journal of the Aerospace Sciences, Vol. 25, No. 12, December, 1958, pp. 742–750.Google Scholar
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    Churchill, R. V., “Fourier Series and Boundary Value Problems,” Chapter 3, Secs. 24–25, McGraw-Hill Book Co., Inc., New York, 1941, pp. 47–52.Google Scholar
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    Greenberg, M. D., “Advanced Engineering Mathematics”, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1988.Google Scholar
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  6. 8.6.
    Ray, H. and E. G. Lovell, “Thermal Vibration of Thin Cylindrical Shells”, Journal of Thermal Stresses, Vol. 11, pp. 77–91, 1988.CrossRefGoogle Scholar

Suggested reading

  1. 8.7.
    Murray, N. W., “Deformation of a Thin Cylindrical Shell Due to an Axisymmetrical Distribution of Temperatures”, International Journal of Mechanical Science”, Vol. 13, No. 10, pp. 825–831, October, 1971.zbMATHGoogle Scholar
  2. 8.8.
    Tsui, T. and Kraus, H., “Thermal Stress-Wave Propagation in Hollow Elastic Spheres”, Acoustical Society of America Journal, Vol. 37, No. 4, pp. 730–737, April, 1965.Google Scholar
  3. 8.9.
    De Silva, C. N., “Thermoelastostatic Analysis of Thick Isotropic Shells with Application to Toroids”, Ingenieur-Archiv, Vol. 33, No. 6, pp. 372–383, 1964.CrossRefGoogle Scholar
  4. 8.10.
    Mizoguchi, K., “Thermal Stresses in a Cylindrical Shell Under a Moving Hot Spot”, Bulletin of the Japan Society of Mechanical Engineers, Vol. 15, No. 80, pp. 184–192, February, 1972.Google Scholar
  5. 8.11.
    Nowinski, J. L., “Theory of Thermoelasticity with Applications”, Sijthoff and Noordhoff International Publishers, 1978.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Department of Mechanical Engineering and the Center for Composite MaterialsUniversity of DelawareNewarkUSA

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