Numerical Analysis of Crack Tip Blunting in a Ductile Material under Small-Scale Yielding Subjected to Mixed Mode Loading

  • M. Saka
  • S. Tanaka
  • H. Abé
Conference paper


The blunting of the tip of a crack in a ductile material is analysed under the conditions of plane strain, small-scale yielding, and mixed mode loading of Modes I and II. The stress and strain fields for a sharp crack under mixed mode loading are first determined by means of elastic-plastic finite element analysis. The results obtained for a sharp crack are used as the boundary conditions for the subsequent numerical analysis of crack tip blunting under mixed mode loading, based on slip line theory. The characteristic shapes of the blunted crack tip are obtained for a wide range of Mode I and Mode II combinations, and found to resemble the tip of a Japanese sword. Also the stress field around the blunted crack tip is determined.


Mixed Mode Ductile Material Sharp Crack Mixed Mode Loading Mixed Mode Crack 
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.
    Shih, C.F.: Small-scale yielding analysis of mixed mode plane- strain crack problems. Fracture Analysis, ASTM STP 560, Philadelphia, American Society for Testing and Materials (1974) 187–210.Google Scholar
  2. 2.
    Gao, Y.C.: Elastic-plastic field of a crack before growing in perfectly plastic medium. Acta Solid Mechanica Sinica 1 (1980) 69–75, in Chinese.Google Scholar
  3. 3.
    Paris, P.C.; Sih, G.C.: Stress analysis of cracks. Fracture Toughness Testing and Its Applications, ASTM STP 381, Philadelphia, American Society for Testing and Materials (1965) 30–81.Google Scholar
  4. 4.
    Rice, J.R.; Johnson, M.A.: The role of large crack tip geometry changes in plane strain fracture. Inelastic Behavior of Solids, Kanninen, M.F.; Adler, W.F.; Rosenfield, A.R.; Jaffee, R.I. (eds.) New York, McGraw-Hill (1970) 641–670.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • M. Saka
    • 1
  • S. Tanaka
    • 2
  • H. Abé
  1. 1.Department of Mechanical EngineeringTohoku UniversitySendai, 980Japan
  2. 2.Toray Industries, Inc.Sonoyama, Otsu, 520Japan

Personalised recommendations