Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(1): 016102    DOI: 10.1088/1674-1056/19/1/016102
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

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
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.
Keywords:  edge dislocation      blunt crack      shielding effect      image force  
Received:  26 October 2008      Revised:  03 July 2009      Accepted manuscript online: 
PACS:  61.72.Bb (Theories and models of crystal defects)  
  61.72.Lk (Linear defects: dislocations, disclinations)  
  62.20.M- (Structural failure of materials)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10872065 and 50801025).

Cite this article: 

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 2010 Chin. Phys. B 19 016102

[1] Zhang T Y and Li J C M 1992 J. Appl. Phys. 72 2215
[2] Zhang T Y and Tong T 1995 J. Appl. Phys. 78 4873
[3] Lin I H and Thomson R 1986 Acta Metall. 34 187
[4] Long Q W and Liang Y 1984 Acta Phys. Sin. 33 755 (in Chinese)
[5] Shiue S T 1997 Mater. Chem. Phys. 48 220
[6] Zhu T, Li J and Yip S 2004 Phys. Rev. Lett. 93 025503
[7] Fang Q H, Liu Y W and Jiang C P 2003 Int. J. Struct. Solids 40 5781
[8] Fan T Y, Guo R P and Liu G T 2003 Chin. Phys. 12 1149
[9] Jin B, Fang Q H and Liu Y W 2007 Acta Mech. Solida. Sin. 20 50
[10] Tanguy D, Razafindrazaka M and Delafosse D 2008 Acta Mater. 56 2441
[11] Weertman J 1996 Dislocation Based Fracture Mechanics (Singapore: World Scientific) p193
[12] Lung C W and Wang L 1984 Phil. Mag. 50 L91
[13] Lee S 1987 Eng. Fract. Mech. 27 539
[14] Chen B T, Zhang T Y and Lee S 1999 Mech. Mater. 31 71
[15] Fischer L L and Beltz G E 2001 J. Mech. Phys. Solids 49 635
[16] Qian C F, Chu W Y and Qiao L J 2002 Int. J. Fract. 117 313
[17] Huang M and Li Z 2004 J. Mech. Phys. Solids 52 1991
[18] Li T, Li Z and Sun J 2006 Scripta Mater. 55 703
[19] Song H P, Fang Q H and Liu Y W 2009 Chin. Phys. B 18 1564
[20] Song H P, Fang Q H and Liu Y W 2009 Chin. Phys. Lett. 26 096102
[21] Vehoff H and Neumann P 1979 Acta Metall. 27 915
[22] Ohr S M 1985 Mater. Sci. Eng. 72 1
[23] Shiue S T and Lee S 1988 J. Appl. Phys. 64 129
[24] Shiue S T and Lee S 1989 Phys. Status Solidi A 113 365
[25] Lee S L, Huang W S and Shiue S T 1991 Mater. Sci. Engng. A 142 41
[26] Yang Y S, Lee S L and Lan B T 1995 Eng. Fract. Mech. 52 83
[27] Hirth J P and Lothe J 1983 Theory of Dislocations 2nd ed. (New York: McGraw-Hill) p86
[28] Zhang T Y, Tong P, Hao O and Lee S 1995 J. Appl. Phys. 78 4873
[29] Stagni L 1993 Philos. Mag. A 68 49
[1] Molecular dynamics study of interactions between edge dislocation and irradiation-induced defects in Fe–10Ni–20Cr alloy
Tao-Wen Xiong(熊涛文), Xiao-Ping Chen(陈小平), Ye-Ping Lin(林也平), Xin-Fu He(贺新福), Wen Yang(杨文), Wang-Yu Hu(胡望宇), Fei Gao(高飞), and Hui-Qiu Deng(邓辉球). Chin. Phys. B, 2023, 32(2): 020206.
[2] Properties of multi-Gaussian Schell-model beams carrying an edge dislocation propagating in oceanic turbulence
Da-Jun Liu(刘大军), Yao-Chuan Wang(王耀川), Gui-Qiu Wang(王桂秋), Hong-Ming Yin(尹鸿鸣), Hai-Yang Zhong(仲海洋). Chin. Phys. B, 2019, 28(10): 104207.
[3] Performance study of aluminum shielded room for ultra-low-field magnetic resonance imaging based on SQUID: Simulations and experiments
Bo Li(李波), Hui Dong(董慧), Xiao-Lei Huang(黄小磊), Yang Qiu(邱阳), Quan Tao(陶泉), Jian-Ming Zhu(朱建明). Chin. Phys. B, 2018, 27(2): 020701.
[4] A transparent electromagnetic-shielding film based on one-dimensional metal-dielectric periodic structures
Ya-li Zhao(赵亚丽), Fu-hua Ma(马富花), Xu-feng Li(李旭峰), Jiang-jiang Ma(马江将), Kun Jia(贾琨), Xue-hong Wei(魏学红). Chin. Phys. B, 2018, 27(2): 027302.
[5] Gate-to-body tunneling current model for silicon-on-insulator MOSFETs
Wu Qing-Qing (伍青青), Chen Jing (陈静), Luo Jie-Xin (罗杰馨), Lü Kai (吕凯), Yu Tao (余涛), Chai Zhan (柴展), Wang Xi (王曦). Chin. Phys. B, 2013, 22(10): 108501.
[6] Shielding effect of a nano-circular inclusion acting on semi-infinite wedge cracks
Song Hao-Peng (宋豪鹏), Gao Cun-Fa (高存法). Chin. Phys. B, 2013, 22(1): 016201.
[7] Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole
Zeng Xin (曾鑫), Fang Qi-Hong (方棋洪), Liu You-Wen (刘又文), P. H. Wen. Chin. Phys. B, 2013, 22(1): 014601.
[8] Relaxed energy and structure of edge dislocation in iron
Zhang Yan(张研), Xie Li-Juan(解丽娟), Zhang Jian-Min(张建民), and Xu Ke-Wei(徐可为). Chin. Phys. B, 2011, 20(2): 026102.
[9] Interaction of two edge dislocations in free-space propagation
He De(何德), Gao Zeng-Hui(高曾辉), Yan Hong-Wei(闫红卫), and Lü Bai-Da(吕百达) . Chin. Phys. B, 2011, 20(1): 014201.
[10] Propagation of partially coherent beams carrying an edge dislocation through atmospheric turbulence along a slant path
Li Jin-Hong(李晋红), Zhang Hong-Run(张洪润), and Lü Bai-Da(吕百达). Chin. Phys. B, 2010, 19(9): 099201.
[11] Investigation of dislocations in 8$^\circ$ off-axis 4H-SiC epilayer
Miao Rui-Xia (苗瑞霞), Zhang Yu-Ming (张玉明), Zhang Yi-Men (张义门), Tang Xiao-Yan (汤晓燕), Gai Qing-Feng (盖庆丰). Chin. Phys. B, 2010, 19(7): 076106.
[12] 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). Chin. Phys. B, 2010, 19(5): 056102.
[13] Shielding effect and emission criterion of a screw dislocation near an interfacial blunt crack
Song Hao-Peng(宋豪鹏), Fang Qi-Hong(方棋洪), and Liu You-Wen(刘又文). Chin. Phys. B, 2009, 18(4): 1564-1569.
[14] Influence of dislocations in the GaN layer on the electrical properties of an AlGaN/GaN heterostructure
Gao Zhi-Yuan(高志远),Hao Yue(郝跃), Zhang Jin-Cheng(张进城), Li Pei-Xian(李培咸), and Gu Wen-Ping(谷文萍) . Chin. Phys. B, 2009, 18(11): 4970-4975.
[15] Additivity rule for electron--molecule total cross section calculations at 50--5000eV: a new geometrical approach
Shi De-Heng(施德恒), Sun Jin-Feng(孙金锋), Zhu Zun-Lüe(朱遵略), and Liu Yu-Fang(刘玉芳) . Chin. Phys. B, 2008, 17(6): 2103-2109.
No Suggested Reading articles found!