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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)† |
| College of Mechanics and Aerospace, Hunan University, Changsha 410082, China |
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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.
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Received: 18 January 2009
Revised: 04 December 2009
Accepted manuscript online:
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PACS:
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61.72.Lk
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(Linear defects: dislocations, disclinations)
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61.72.Hh
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(Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.))
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62.20.M-
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(Structural failure of materials)
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62.20.D-
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(Elasticity)
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| Fund: 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). |
Cite this article:
Song Hao-Peng(宋豪鹏), Fang Qi-Hong(方棋洪), and Liu You-Wen (刘又文) Elastic behaviour of a wedge disclination dipole near a sharp crack emanating from a semi-elliptical blunt crack 2010 Chin. Phys. B 19 056102
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