Acta Mechanica Solida Sinica

, Volume 20, Issue 1, pp 50–56 | Cite as

Interaction of a dislocation dipole with a mode III interface crack

  • Bo Jin
  • Qihong Fang
  • Youwen Liu


Interaction between a screw dislocation dipole and a mode III interface crack is investigated. By using the complex variable method, the closed form solutions for complex potentials are obtained when a screw dislocation dipole lies inside a medium. The stress fields and the stress intensity factors at the tip of the interface crack produced by the screw dislocation dipole are given. The influence of the orientation, the dipole arm and the location of the screw dislocation dipole as well as the material mismatch on the stress intensity factors is discussed. The image force and the image torque acting on the screw dislocation dipole center are also calculated. The mechanical equilibrium position of the screw dislocation dipole is examined for various material property combinations and crack geometries. The results indicate that the shielding or anti-shielding effect on the stress intensity factor increases abruptly when the dislocation dipole approaches the tip of the crack. Additionally, the disturbation of the interface crack on the motion of the dislocation dipole is also significant.

Key words

dislocation dipole interface crack image force image torque 


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  1. [1]
    Ballarini, R. and Denda, M., Interaction between a crack and a dislocation dipole. Int. J. Fract., 1988, 37: 61–71.CrossRefGoogle Scholar
  2. [2]
    Lin, K.M., Hu, C.T. and Lee, S.B., Elastic interaction between a screw dislocation dipole and a surface crack. J Appl. Phys., 1988, 63: 726–731.CrossRefGoogle Scholar
  3. [3]
    Wang, S.D. and Lee, S.B., Mechanical equilibrium of an edge dislocation dipole near a semi-infinite crack tip. Int. J. Fract., 1992, 57: 317–324.CrossRefGoogle Scholar
  4. [4]
    Wang, S.D. and Lee, S.B., Edge dislocation dipoles near a semi-infinite crack tip. Eng. Fract. Mech., 1993, 46: 297–309.CrossRefGoogle Scholar
  5. [5]
    Lin, K.M., Hu C.T. and Lee, S B., Screw dislocation dipoles near an internal crack. Eng. Fract. Mech., 1993, 45: 321–231.CrossRefGoogle Scholar
  6. [6]
    Yang, Y.S., Lee, S.B. and Lan, B.T., Elastic behavior of dislocation dipole near a blunt crack. Eng. Fract. Mech., 1995, 52: 83–93.CrossRefGoogle Scholar
  7. [7]
    Wang, J.W. and Kuang, Z.B., The interaction between crack and electric dipole of piezoelectricity. Acta Mech. Solida Sin., 2000, 13: 283–289.Google Scholar
  8. [8]
    Fang, Q.H., Liu, Y.W., Jiang, C.P. and Li, B., Interaction of a wedge disclination dipole with interfacial cracks. Eng. Fract. Mech., 2006, 73: 1235–1248.CrossRefGoogle Scholar
  9. [9]
    Muskhelishvili, N.L., Some Basic Problems of Mathematical Theory of Elasticity. Noordhoff: Leyden, 1975.zbMATHGoogle Scholar
  10. [10]
    Juang, R.R. and Lee, S B., Elastic interaction between general parallel screw dislocations and a surface crack. J Appl. Phys., 1986, 59: 3421–3429.CrossRefGoogle Scholar
  11. [11]
    Fang, Q.H., Liu, Y.W. and Jiang, C P., A screw dislocation in a three-phase composite cylinder model with interfacial rigid lines. Acta Mech. Solida Sin., 2005, 18: 283–294.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  1. 1.College of Civil EngineeringHunan UniversityChangshaChina
  2. 2.College of Mechanics and AerospaceHunan UniversityChangshaChina

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