Advertisement

On the Stress Field and Dislocation Emission of an Elliptically Blunted Mode III Crack with Surface Stress Effect

Conference paper
Part of the IUTAM Bookseries (closed) book series (IUTAMBOOK, volume 31)

Abstract

The stress field of an elliptically blunted crack under remote antiplane shear loading and its interaction with a nearby screw dislocation are investigated with the complex variable method. The Gurtin-Murdoch model is adopted to characterize the surface stress effect of the nano blunt crack. It is found that the surface stress effect can influence the stress field of the nano blunt crack, the critical load for dislocation emission and the shielding effect of the dislocation significantly.

Keywords

Critical Load Energy Release Rate Surface Effect Screw Dislocation Polar Coordinate System 
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.

Notes

Acknowledgments

This project is supported by National Natural Science Foundation of China (Grant No. 10802032) and Research Fund for the Doctoral Program of Higher Education of China (No. 200804871001).

References

  1. 1.
    Rice, J.R., Thomson, R.: Ductile versus brittle behavior of crystals. Philos. Mag. 29, 73–97 (1974)CrossRefGoogle Scholar
  2. 2.
    Majumdar, B.S., Burns, S.J.: Crack tip shielding: an elastic theory of dislocations and dislocation arrays near a sharp crack. Acta Metall. 29, 579–588 (1981)CrossRefGoogle Scholar
  3. 3.
    Zhang, T.Y., Li, J.C.M.: Image forces and shielding effects of a screw dislocation near a finite-length crack. Mater. Sci. Eng. A 142, 35–39 (1991)CrossRefGoogle Scholar
  4. 4.
    Lakshmanan, V., Li, J.C.M.: Edge dislocations emitted along inclined planes from a mode I crack. Mater. Sci. Eng. A 104, 95–104 (1988)CrossRefGoogle Scholar
  5. 5.
    Zhang, T.Y., Tong, P., Ouyang, H., Lee, S.: Interaction of an edge dislocation with a wedge crack. J. Appl. Phys. 78, 4873–4880 (1995)CrossRefGoogle Scholar
  6. 6.
    Fischer, L.L., Beltz, G.E.: The effect of crack blunting on the competition between dislocation nucleation and cleavage. J. Mech. Phys. Solids 49, 635–654 (2001)zbMATHCrossRefGoogle Scholar
  7. 7.
    Qian, C.F., Chu, W.Y., Qiao, L.J.: Micro-mechanical analysis and TEM study of crack initiation in dislocation free zone. Int. J. Fract. 117, 313–321 (2002)CrossRefGoogle Scholar
  8. 8.
    Huang, M.X., Li, Z.H.: Dislocation emission criterion from a blunt crack tip. J. Mech. Phys. Solids 52, 1991 (2004)zbMATHCrossRefGoogle Scholar
  9. 9.
    Gurtin, M.E., Murdoch, A.I.: A continuum theory of elastic material surfaces. Arch. Ration Mech. Anal. 57, 291–323 (1975)MathSciNetzbMATHCrossRefGoogle Scholar
  10. 10.
    Cammarata, R.C.: Surface and interface stress effects in thin films. Prog. Surf. Sci. 46, 1–38 (1994)CrossRefGoogle Scholar
  11. 11.
    Miller, R.E., Shenoy, V.B.: Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11, 139–147 (2000)CrossRefGoogle Scholar
  12. 12.
    Sharma, P., Ganti, S., Bhate, N.: Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Appl. Phys. Lett. 82, 535–537 (2003)CrossRefGoogle Scholar
  13. 13.
    Duan, H.L., Wang, J., Huang, Z.P., Karihaloo, B.L.: Eshelby formalism for nano-inhomogeneities. Proc. R. Soc. Lond. A 461, 3335–3353 (2005)MathSciNetzbMATHCrossRefGoogle Scholar
  14. 14.
    He, L.H., Li, Z.R.: Impact of surface stress on stress concentration. Int. J. Solids Struct. 43, 6208–6219 (2006)zbMATHCrossRefGoogle Scholar
  15. 15.
    Wang, G.F., Feng, X.Q., Wang, T.J., Gao, W.: Surface effects on the stresses near a crack tip. J. Appl. Mech. 75, 011001 (2008)CrossRefGoogle Scholar
  16. 16.
    Wu, C.H.: The effect of surface stress on the configurational equilibrium of voids and cracks. J. Mech. Phys. Solids 47, 2469–2492 (1999)MathSciNetzbMATHCrossRefGoogle Scholar
  17. 17.
    Fu, X.L., Wang, G.F., Feng, X.Q.: Surface effects on the near-tip stress fields of a mode-II crack. Int. J. Fract. 151, 95–106 (2008)zbMATHCrossRefGoogle Scholar
  18. 18.
    Fu, X.L., Wang, G.F., Feng, X.Q.: Surface effects on mode-I crack tip fields: a numerical study. Eng. Fract. Mech. 77, 1048–1057 (2010)CrossRefGoogle Scholar
  19. 19.
    Kim, C.I., Schiavone, P., Ru, C.Q.: The effects of surface elasticity on an elastic solid with mode-III crack: complete solution. J. Appl. Mech. 77, 021011 (2010)CrossRefGoogle Scholar
  20. 20.
    Fang, Q.H., Liu, Y., Liu, Y.W., Huang, B.Y.: Dislocation emission from an elliptically blunted crack tip with surface effects. Physica B 404, 3421–3424 (2009)CrossRefGoogle Scholar
  21. 21.
    Luo, J., Xiao, Z.M.: Analysis of a screw dislocation interacting with an elliptical nano inhomogeneity. Int. J. Eng. Sci. 47, 883–893 (2009)MathSciNetCrossRefGoogle Scholar
  22. 22.
    Shen, H., Schiavone, P., Ru, C.Q., Mioduchowski, A.: An elliptic inclusion with imperfect interface in anti-plane shear. Int. J. Solids Struct. 37, 4557–4575 (2000)zbMATHCrossRefGoogle Scholar
  23. 23.
    Tian, L., Rajapaksek, R.K.N.D.: Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity. Int. J. Solids Struct. 44, 7988–8005 (2007)zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.School of Civil Engineering and MechanicsHuazhong University of Science and TechnologyWuhanP.R. China
  2. 2.Hubei Key Laboratory for Engineering Structural Analysis and Safety AssessmentWuhanP.R. China

Personalised recommendations