Analytical Solution on the 3D Stress Concentration Problem of a Plate with a Circular Hole under Uniform Tension at Infinity

  • Tadahiko Kawai
  • Tetsuya Endoh


Using a modified Boussinesq Stress Functions analytical solution was obtained for the stress concentration problem of a plate with a circular hole under uniform tension at infinity. It was confirmed that the derived solution is identical with the solution obtained by Albras in 1957.

Thickness effect on the stress concentration of the plate around the circular hole was studied in detail.

Especially the triaxial state of stresses near the plate surfaces could be made clear.


Boundary Element Method Plate Thickness Plate Surface Thick Plate Circular Hole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    Albras, J.B.: Theory of the Three-Dimensional State of Stress in a Plate with a Hole (in Dutch), Dissertation, Technische Hogeschool Delft, Amsterdam, H.J.Paris, 1957.Google Scholar
  2. (2).
    Miyamoto H.: Three Dimensional Theory of Elasticity, Technical Series (in Japanese), Shoukabo Press (1967)Google Scholar
  3. (3).
    Green, A.E.: The Elastic Equilibrium of Isotropic Plates and Cylinders, Proc. roy. Soc. London(A). 195, p.533, 1949.ADSMATHCrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Tadahiko Kawai
    • 1
  • Tetsuya Endoh
    • 1
  1. 1.Institute of Industrial ScienceUniversity of TokyoRoppongi, Minato-ku, Tokyo, 106Japan

Personalised recommendations