Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (9): 1239-1247 .doi: https://doi.org/10.1007/s10483-006-0911-z

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ELASTIC INTERACTION BETWEEN WEDGE DISCLINATION DIPOLE AND INTERNAL CRACK

FANG Qi-hong, LIU You-wen   

  1. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
  • Received:2005-05-27 Revised:2006-06-02 Online:2006-09-18 Published:2006-09-18
  • Contact: LIU You-wen

Abstract: The system of a wedge disclination dipole interacting with an internal crack was investigated. By using the complex variable method, the closed form solutions of complex potentials to this problem were presented. The analytic formulae of the physics variables, such as stress intensity factors at the tips of the crack produced by the wedge disclination dipole and the image force acting on disclination dipole center were obtained. The influence of the orientation, the dipole arm and the location of the disclination dipole on the stress intensity factors was discussed in detail. Furthermore, the equilibrium position of the wedge disclination dipole was also examined. It is shown that the shielding or antishielding effect of the wedge disclination to the stress intensity factors is significant when the disclination dipole moves to the crack
tips.

Key words: disclination dipole, crack, complex variable method, image force

2010 MSC Number: 

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