Skip to main content
Log in

On the thermal stresses in a finite circular cylinder

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

A solution is presented for the determination of thermal stresses in a finite cylinder heated axisymmetrically over the curved surface. The solution is obtained by constructing the thermoelastic displacement potential and the biharmonic Love function to satisfy all the boundary conditions. It considers the steady state stresses as well as the transient stresses.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. H. Chu and F. T. Dodge, End Thermal Stresses in a Long Circular Rod,J. of App. Mech., 34 (1968) 266–272.

    Google Scholar 

  2. R. J. Dunholter,Thermal Stress in Tube with Axial Temperature Gradient, AEC Report APEX-463, Oct. (1957).

  3. B. E. Gatewood, Thermal Stresses in Long Cylindrical Bodies,Phil. Mag., Ser. 7, 32 (1941) 282–301.

    Google Scholar 

  4. W. R. Hodgkins,A Numerical Solution of the End Deformation Problem of Cylinders, U. K. Atomic Energy Authority, TRG Report-294(s) (1962).

  5. G. Horvay and J. A. Mirabal, The End Problem of Cylinders,J. of App. Mech., 25 (1960) 561–570.

    Google Scholar 

  6. G. Horvay, I. Giaever and J. A. Mirabal, Thermal Stresses in a Heat-generating Cylinder,Ingen. Arch., 27 (1959) 179–194.

    Google Scholar 

  7. J. Ignaczak, Thermal Stresses in a Long Cylinder Heated in a Discontinuous Manner over the Lateral Surface,Arch. Mech. Stos., 10 (1958) 25–34.

    Google Scholar 

  8. K. T. S. R. Iyengar and K. Chandrashekhara, Thermal Stresses in a Finite Solid Cylinder due to Steady Temp. Variation along the Curved and End Surfaces,Int. J. Engg. Sci., 5 (1967) 393–413.

    Google Scholar 

  9. A. Mendelson and E. Roberts, Jr., The Axial Stress Distribution in Finite Cylinders,Proc. of 8th Midwestern Mechanics Conf. (1963) 40–57.

  10. F. H. Murray,Thermal Stresses and Strains in a Finite Cylinder with no Surface Forces, AEC Report AECD-2966 (1945).

  11. W. Nowacki,Thermoelasticity, Addison Wesley, Reading, Massachusetts (1962).

    Google Scholar 

  12. M. Sokolowski, The Axially Symmetric Thermoelasticity Problem of the Infinite Cylinders,Arch. Mech. Stos., 10 (1958) 811–824.

    Google Scholar 

  13. S. Timoshenko and J. N. Goodier,Theory of Elasticity, McGraw-Hill, New York (1951) 412–413.

    Google Scholar 

  14. C. K. Youngdahl and E. Sternberg, Transient Thermal Stresses in a Circular Cylinder,J. of App. Mech., 28 (1961) 25–34.

    Google Scholar 

  15. A. C. C. Yen,Thermal Stresses in a Finite Circular Cylinder, Ph.D. dissertation, Kansas State University, Manhattan, Kansas (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Based on a doctoral thesis in applied mechanics submitted by the first author to Kansas State University, Manhattan, Kansas.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yen, A.C., Kirmser, P.G. On the thermal stresses in a finite circular cylinder. J Eng Math 5, 19–32 (1971). https://doi.org/10.1007/BF01535431

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01535431

Keywords

Navigation