中国物理B ›› 2010, Vol. 19 ›› Issue (5): 56102-056102.doi: 10.1088/1674-1056/19/5/056102

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Elastic behaviour of a wedge disclination dipole near a sharp crack emanating from a semi-elliptical blunt crack

宋豪鹏, 方棋洪, 刘又文   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • 收稿日期:2009-01-18 修回日期:2009-12-04 出版日期:2010-05-15 发布日期:2010-05-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~10872065 and 50801025), the Natural Science Foundation of Hunan Province of China (Grant No.~09JJ4003) and the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No.~CX2009B067).

Elastic behaviour of a wedge disclination dipole near a sharp crack emanating from a semi-elliptical blunt crack

Song Hao-Peng(宋豪鹏), Fang Qi-Hong(方棋洪), and Liu You-Wen (刘又文)†   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • Received:2009-01-18 Revised:2009-12-04 Online:2010-05-15 Published:2010-05-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~10872065 and 50801025), the Natural Science Foundation of Hunan Province of China (Grant No.~09JJ4003) and the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No.~CX2009B067).

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摘要： The interaction between a wedge disclination dipole and a crack emanating from a semi-elliptic hole is investigated. Utilising the complex variable method, the closed form solutions are derived for complex potentials and stress fields. The stress intensity factor at the tip of the crack and the image force acting on the disclination dipole center are also calculated. The influence of the morphology of the blunt crack and the position of the disclination dipole on the shielding effect to the crack and the image force is examined in detail. The results indicate that the shielding or anti-shielding effect to the stress intensity factor increases when the wedge disclination dipole approaches the tip of the crack. The effects of the morphology of the blunt crack on the stress intensity factor of the crack and the image force are very significant.

Abstract: The interaction between a wedge disclination dipole and a crack emanating from a semi-elliptic hole is investigated. Utilising the complex variable method, the closed form solutions are derived for complex potentials and stress fields. The stress intensity factor at the tip of the crack and the image force acting on the disclination dipole center are also calculated. The influence of the morphology of the blunt crack and the position of the disclination dipole on the shielding effect to the crack and the image force is examined in detail. The results indicate that the shielding or anti-shielding effect to the stress intensity factor increases when the wedge disclination dipole approaches the tip of the crack. The effects of the morphology of the blunt crack on the stress intensity factor of the crack and the image force are very significant.

Key words: wedge disclination dipole, blunt crack, shielding effect, image force

中图分类号:  (Linear defects: dislocations, disclinations)

  • 61.72.Lk
61.72.Hh (Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)) 62.20.M- (Structural failure of materials) 62.20.D- (Elasticity)