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The steady-state thermoelastic problem for the elastic layer resting on a rigid foundation

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Summary

A solution is given, in terms of Fourier integrals, of the problem of determining the stresses in an elastic layer resting on a rigid foundation when the distribution of temperature on the free surface of the layer is prescribed.

References to literature

  1. [1]

    McDowell, E. L.,Proc. Third Midrvestern Conf. of Solid Mechanics (1957), pp. 72–85.

  2. [2]

    Sneddon, I. N. &Berry, D. S.,Handbuch der Phys., Berlin: Springer-Verlag (1958), p. 124.

  3. [3]

    Sneddon, I. N. &Lockett, F. J.,Q. Appl. Math. (1960) (in course of publication).

  4. [4]

    Sternberg, E. &McDowell, E. L.,Q. Appl. Math. (1957), 14, 4, p. 381.

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Additional information

To Antonio Signorini on his 70th birth day.

The work described in this paper was done in the Department of Mathematics, Duke University, North Carolina, and was supported in part by the U. S. Air Force Office of Scientific Research, A. R. D. C., under Contract AF 18 (600)-1341.

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Sneddon, I.N., Lockett, F.J. The steady-state thermoelastic problem for the elastic layer resting on a rigid foundation. Annali di Matematica 50, 309–317 (1960) doi:10.1007/BF02414521

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Keywords

  • Free Surface
  • Elastic Layer
  • Thermoelastic Problem
  • Fourier Integral
  • Rigid Foundation