Skip to main content
Log in

Stress concentrations due to sharp notches

Stresses are determined experimentally near a sharp notch and their values are compared to those obtained from existing theoretical solutions

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

A photoelastic technique has been developed to determine accurately the fringe order of a sharp notch, i.e., as small as 0.0019 in. in radius, to within ±0.0004 in. of the boundary. The stress is frozen into the specimen, enabling careful study of the specimen. Experimental results are discussed and compared to values obtained from some existing theoretical solutions.

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. Savin, G., “Stress Concentration around Holes,”Pergamon Press, New York (1961).

    Google Scholar 

  2. Irwin, G. R., “Fracture,”Encyclopedia of Physics,6,Springer-Verlag,Berlin (1958).

    Google Scholar 

  3. Liebowitz, H., Vanderveldt, H., and Harris, D. W., “Carrying Capacity of Notched Columns,” Int. Jnl. Solids and Structures (July 1967).

  4. Neuber, H., “Theory of Notch Stresses,” 2nd ed., AEC-TR-4547 (1958).

  5. Papirno, R., “Stress Concentrations in Tensile Strips with Central Notches of Varying End Radii,”Jnl. Roy. Aero. Soc.,66,323–326 (May 1962).

    Google Scholar 

  6. Kikukawa, M., “A Note on the Stress-concentration Factor of a Notched Strip,” Proc. Th. Appl. Mechanics, 59–64 (1957).

  7. Gerberich, W., “Stress Distributions about a Slowly Growing Crack Determined by Photoelastic-Coating Method,”Proc. SESA,19,2,359–365 (1962).

    Google Scholar 

  8. Wells, A., andPost, D., “The Dynamic Stress Distribution Surrounding a Running Crack—A Photoelastic Analysis,”Proc. SESA,16,1,69–92 (1957).

    Google Scholar 

  9. Dixon, J. R., “Stress Distribution around Edge Slits in a Plate Louded in Tension—The Effect of Finite Width of Plate,”Jnl. Roy. Aero. Soc.,66,320–322 (1962).

    Google Scholar 

  10. Kobayashi, A. S., Bradley, W. B., and Selby, R. A., “Transient Analysis in a Fracturing Epoxy Plate with a Central Crack,” Nonr-477(39), NR 064-478 (August 1965).

  11. Bowie, O. L., “Rectangular Tensile Sheet with Symmetric Edge Cracks,” Jnl. Appl. Mech. Trans. ASME (1964).

  12. Post, D., “Photoelastic Stress Analysis for an Edge Crack in a Tensile Field,”Proc. SESA,12,1,99–116 (1954).

    MathSciNet  Google Scholar 

  13. Oppel, G. U., andHill, P. W., “Strain Measurements at the Root of Cracks and Notches,”Experimental Mechanics,4,7,206–211 (1964).

    Article  Google Scholar 

  14. Dixon, J. R., “Stress Distribution around a Central Cyrack in a Plate Loaded in Tension—Effect of Finite Width of Plate,”Jnl. Roy. Aero. Soc.,64,141–145 (1960).

    Google Scholar 

  15. Dixon, J. R., andStrannigan, J. S., “Strain Distribution around Cracks in Ductile Sheets during Loading and Unloading,”Jnl. Mech. Eng. Soc.,7,3 (1965).

    Google Scholar 

  16. Hiltscher, R., “Photoelastic Examination of Three-Dimensional States of Stress under Convergent Light” (German), Forschung auf dem Gebiete des Ingenieurwesens,9,12,91–103 (1938).

    Google Scholar 

  17. Hiltscher, R., “Complete Determination of the Two-Dimensional State of Stress with the Interference Figure Method(German), Forschung auf dem Gebiete des Ingenieurwesens,15,1,12–17 (1944).

    Google Scholar 

  18. Irwin, G. R., “Fracture Mechanics,”,Structural Mechanics, Bergamon Press, New York (1960).

    Google Scholar 

  19. Paris, P. C., andSih, G. C., “Stress Analysis of Cracks,” Fracture Toughness Testing and Its Applications, Tech. Pub. 381, ASTM, Phil. Pa. (1965).

    Google Scholar 

  20. Irwin, G. R., “The Crack Extension Force for a Crack at a Free Boundary,” Naval Research Laboratory Report 5120 (1958).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liebowitz, H., Vanderveldt, H. & Sanford, R.J. Stress concentrations due to sharp notches. Experimental Mechanics 7, 513–517 (1967). https://doi.org/10.1007/BF02326326

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02326326

Keywords

Navigation