Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack

doi:10.1088/1674-1056/19/1/016102

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 16102-016102.doi: 10.1088/1674-1056/19/1/016102

Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack

方棋洪, 宋豪鹏, 刘又文

College of Mechanics and Aerospace, Hunan University, Changsha 410082, China

收稿日期:2008-10-26 修回日期:2009-07-03 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10872065 and 50801025).

Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack

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

College of Mechanics and Aerospace, Hunan University, Changsha 410082, China

Received:2008-10-26 Revised:2009-07-03 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10872065 and 50801025).

摘要/Abstract

摘要： The interaction between an edge dislocation and a crack emanating from a semi-elliptic hole is dealt with. Utilizing the complex variable method, 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 edge dislocation are also calculated. The influence of the morphology of the blunt crack and the position of the edge dislocation 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 acutely when the dislocation approaches the tip of the crack. The effect of the morphology of the blunt crack on the stress intensity factor of the crack and the image force is very significant.

Abstract: The interaction between an edge dislocation and a crack emanating from a semi-elliptic hole is dealt with. Utilizing the complex variable method, 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 edge dislocation are also calculated. The influence of the morphology of the blunt crack and the position of the edge dislocation 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 acutely when the dislocation approaches the tip of the crack. The effect of the morphology of the blunt crack on the stress intensity factor of the crack and the image force is very significant.

Key words: edge dislocation, blunt crack, shielding effect, image force

中图分类号: (Theories and models of crystal defects)

61.72.Bb

61.72.Lk (Linear defects: dislocations, disclinations) 62.20.M- (Structural failure of materials)

方棋洪, 宋豪鹏, 刘又文. Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack[J]. 中国物理B, 2010, 19(1): 16102-016102.

Fang Qi-Hong(方棋洪), Song Hao-Peng(宋豪鹏), and Liu You-Wen(刘又文). Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack[J]. Chin. Phys. B, 2010, 19(1): 16102-016102.

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Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack

Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack

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