Skip to main content
SpringerLink
Log in

The effect of transverse shear deformation on stress concentration factors for shallow shells with a small circular hole

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Simplified equations are derived for the analysis of stress concentration for shear-deformable shallow shells with a small hole. General solutions of the equations are obtained, in terms of series, for shallow spherical shells and shallow circular cylindrical shells with a small circular hole. Approximate explicit solutions and numerical results are obtianed for the stress concentration factors of shallow circular cylindrical shells with a small hole on which uniform pressure is acting.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Reissner, E. and F. Y. M. Wan, A note on the linear theory of shallow shear-deformable shells,Journal of Applied Mathematics and Physics, ZAMP,33 (1982), 425–427.

    Google Scholar 

  2. Reissner, E. and F. Y. M. Wan, On the effect of transverse shear deformability on stress concentration factors for twisted and sheared shallow spherical shells,Journal of Applied Mechanics, ASME,53 (1986), 597–601.

    Google Scholar 

  3. Xu Bin-han, Pei Jun-hou and Zhu Bang-jun,Theory and Test of Shells with Openings, National Defence Industry Press, Beijing (1987). (in Chinese)

    Google Scholar 

  4. Reissner, E., On the determination of stresses and displacements for unsymmetrical deformations of shallow spherical shells,Journal of Mathematics and Physics,38 (1969), 16–35.

    Google Scholar 

  5. Reissner, E., On the transverse twisting of shallow spherical ring caps,Journal of Applied Mechanics,47 (1980), 101–105.

    Google Scholar 

  6. Qian Ling-xi, et al., Problems of circular cylindrical shells with openings—the fundamental solution for the case of a single circular hole,J. Dalian College Techn.,3, 4 (1965). (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

    Loo Wen-da & Cheng Yao-shun

Authors
  1. Loo Wen-da
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cheng Yao-shun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (II)

This paper was published in 1989 at the conference of IASS, Madrid, Spain.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wen-da, L., Yao-shun, C. The effect of transverse shear deformation on stress concentration factors for shallow shells with a small circular hole. Appl Math Mech 12, 211–218 (1991). https://doi.org/10.1007/BF02016540

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02016540

Key words

Search

Navigation