Skip to main content
Log in

A comparative study of elasticity, shell and boundary layer solutions applied to axially compressed cylinders

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

Summary

This paper deals primarily with a comparative study based on different methods of solution for the problem of axially compressed cylinders. A comprehensive discussion on the range of validity of these types of solutions is also included, and an extensive numerical analysis has been carried out.

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. S. Timoshenko and J. N. Goodier,Theory of Elasticity. Third edition, McGraw-Hill Publishers, New York, 1970.

    Google Scholar 

  2. L. N. G. Filon, On the elastic equilibrium of circular cylinders under certain practical systems of load.Philosophical Transactions of Royal Society of London, Ser. A, Vol. 198 (1902) 147–233.

    Google Scholar 

  3. G. Pickett, Application of the Fourier method to the solution of certain boundary value problems in the theory of elasticity.Journal of Applied Mechanics, Vol. 2 (1944) A176-A182.

    Google Scholar 

  4. G. M. Valov, On the axially-symmetric deformations of a solid circular cylinder of finite length.Journal of Applied Mathematics and Mechanics, Vol. 26 (1962) 975–999.

    Google Scholar 

  5. J. M. Blair and J. I. Veeder, The elastic deformation of a circular rod of finite length for an axially symmetric end face loading.Journal of Applied Mechanics, Ser. e, Vol. 36, No. 2 (1969) 241–246.

    Google Scholar 

  6. O. E. Widera and S. Mirza,On a problem of theory of elasticity for a circular cylinder of finite length. Presented at the 11th Congress on Theoretical and Applied Mechanics, Coimbatore, India, 1966.

  7. M. Shibahara and J. Oda, Problems on the finite hollow cylinders under axially-symmetric deformations.Bulletin of JSME, Vol. 11, No. 48 (1968) 1000–1014.

    Google Scholar 

  8. M. W. Johnson and E. Reissner, On the foundations of the theory of thin elastic shells.Journal of Mathematical Physics, Vol. 37, No. 4 (1952) 371–392.

    Google Scholar 

  9. E. L. Reiss, A theory for the small rotationally symmetrical deformations of cylindrical shells.Communications on pure and Applied Mathematics, Vol. 13 (1960) 531–550.

    Google Scholar 

  10. O. E. Widera and C.-H. Wu, A boundary layer for the end problem of a circular cylinder.Journal of Engineering Mathematics, Vol. 2, No. 4 (1968) 344–354.

    Google Scholar 

  11. M. W. Johnson and R. W. Little, The semi-infinite elastic strip.Quarterly of Applied Mathematics, Vol. 22, No. 4 (1963) 335–344.

    Google Scholar 

  12. A. P. Hillman and H. E. Salzer, Roots of sinz=z.Philosophical Magazine, Vol. 34 (1934) 575.

    Google Scholar 

  13. C.I.RobbinsandR.C.T.Smith, A tableofrootsofsinz=−z.Philosophical Magazine,Vol.39(1948)1004–1005.

    Google Scholar 

  14. M. Benicek, Experimental study of thin cylindrical shells under local axialloadings.Experimental Mechanics, Vol. 7, No. 12 (1967) 506–512.

    Google Scholar 

  15. J. M. Klosner and J. Kempner, Comparison of elasticity and shell-theory solutions.AIAA Journal, Vol. 1, No. 3 (1963) 627–630.

    Google Scholar 

  16. J. C. Rajput,Application of three-dimensional elasticity. Shell and boundary layer solutions to axially compressed cylinders, M.A.Sc. thesis, submitted to the Mechanical Engineering Department, University of Ottawa, 1971.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mirza, S., Rajput, J.C. A comparative study of elasticity, shell and boundary layer solutions applied to axially compressed cylinders. J Eng Math 11, 325–336 (1977). https://doi.org/10.1007/BF01537092

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01537092

Keywords

Navigation