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Axisymmetric problem of the steady-state thermal stresses in elastic media with temperature dependent properties

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Summary

Axisymmetric problem of the steady-state thermal stresses in elastic media which exhibit temperature dependent thermal and mechanical properties has been investigated using the perturbation technique. Basic field equations governing the axially symmetric thermoelastic problem are established, a general solution of the system being obtained by means of the thermoelastic potentials (the first of which represents that of Goodier). For definiteness, a half-infinite space acted upon by a continuous point source of heat located on the bounding plane is investigated in detail. A numerical example concerning the half-space is solved.

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References

  1. Hilton, H. H., J. Appl. Mech.,19 (1952) 352.

    Google Scholar 

  2. Nowinski, J., Arch. Mech, Stos.,5 (1953) 629. (in Polish).

    Google Scholar 

  3. Nowinski, J., Thermoelastic Problem for an Isotropic Sphere with Temperature Dependent Properties, Zeitschr. Angew. Math. Phys.10 (1959) 565.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. Chang, C. C. and W. H. Chu, J. Appl. Mech.,21 (1954) 101.

    MATH  Google Scholar 

  5. Hilton, H. H., Thermal Stresses in Thick-Walled Cylinders Exhibiting Temperature Dependent Viscoelastic Properties of the Kelvin Type, Proc. Second U.S. Nat. Congr. Appl. Mech., (1954).

  6. Freundenthal, A. M., Journ. Aeron. Sci.21 (1954) 772.

    Google Scholar 

  7. Morland, L. W. and E. H. Lee, Trans. Soc. Rheol.4 (1960) 223.

    Article  MathSciNet  Google Scholar 

  8. Muki, R. and E. Sternberg, J. Appl. Mech.28 (1961) 193.

    MATH  MathSciNet  Google Scholar 

  9. Nowinski, J., Journ. Appl. Mech.,29 (1962) 399.

    MATH  MathSciNet  Google Scholar 

  10. Melan, E. and H. Parkus, Wärmespannungen, Springer, Vienna, 1953.

    Google Scholar 

  11. Sneddon, I. N., Fourier Transforms, McGraw-Hill, 1951.

  12. Gröbner, W. and N. Hofreiter, Integraltafel, Vol. II, Springer, 1958.

  13. McLachlan, N. W., Bessel Functions for Engineers, Oxford, 1955.

  14. Hirsch, M., Integraltafeln, Duncker and Humblot, Berlin, 1810.

  15. Sternberg, E. and E. L. McDowell, Quart. Appl. Math,14 (1957) 381.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. University of Delaware, Newark, Dalaware, U.S.A.

    J. Nowinski

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  1. J. Nowinski
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Additional information

The preparation of this paper has been sponsored jointly by the Southwest Research Institute, San Antonio, Texas, and bv the National Defense Education Act.

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Nowinski, J. Axisymmetric problem of the steady-state thermal stresses in elastic media with temperature dependent properties. Appl. sci. Res. 12, 349–377 (1964). https://doi.org/10.1007/BF03185007

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  • DOI: https://doi.org/10.1007/BF03185007

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