Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole

doi:10.1088/1674-1056/22/1/014601

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 14601-014601.doi: 10.1088/1674-1056/22/1/014601

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole

曾鑫^{a b}, 方棋洪^{a b}, 刘又文^{a b}, P. H. Wen^c

a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body , Hunan University, Changsha 410082, China;
b College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;
c School of Engineering and Material Sciences, Queen Mary, University of London, London, E14NS, UK

收稿日期:2012-05-30 修回日期:2012-07-12 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11172094 and 11172095), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0122), the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, China (Grant Nos. 61075005 and 51075001), and the Fundamental Research Funds for the Central Universities (Hunan University), China.

Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole

Zeng Xin (曾鑫)^{a b}, Fang Qi-Hong (方棋洪)^{a b}, Liu You-Wen (刘又文)^{a b}, P. H. Wen^c

a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body , Hunan University, Changsha 410082, China;
b College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;
c School of Engineering and Material Sciences, Queen Mary, University of London, London, E14NS, UK

Received:2012-05-30 Revised:2012-07-12 Online:2012-12-01 Published:2012-12-01
Contact: Liu You-Wen E-mail:liuyouw8294@sina.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11172094 and 11172095), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0122), the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, China (Grant Nos. 61075005 and 51075001), and the Fundamental Research Funds for the Central Universities (Hunan University), China.

摘要/Abstract

摘要： The interaction between screw dislocations and two asymmetrical interfacial cracks emanating from an elliptic hole under loads at infinity is studied. The closed-form solution is derived for complex potentials. The stress intensity factor and the critical applied stress for dislocation emission are also calculated. In the limiting cases, the well-known results can be obtained from the present solutions. Moreover, new exact solutions for a screw dislocation interacting with some complicated cracks are derived. The results show that the shielding effect increases with the increase of the lengths of the other crack and the minor semi axis, but decreases with the increase of dislocation azimuth. The repulsion acting on the dislocation from the other phase and the other crack extend in the horizontal direction make the dislocation emission at the crack tip take place more easily, but the minor semi axis of the elliptical hole extend in the vertical direction makes it take place more difficultly.

关键词: interfacial crack, elliptic hole, shielding effect, dislocation emission

Abstract: The interaction between screw dislocations and two asymmetrical interfacial cracks emanating from an elliptic hole under loads at infinity is studied. The closed-form solution is derived for complex potentials. The stress intensity factor and the critical applied stress for dislocation emission are also calculated. In the limiting cases, the well-known results can be obtained from the present solutions. Moreover, new exact solutions for a screw dislocation interacting with some complicated cracks are derived. The results show that the shielding effect increases with the increase of the lengths of the other crack and the minor semi axis, but decreases with the increase of dislocation azimuth. The repulsion acting on the dislocation from the other phase and the other crack extend in the horizontal direction make the dislocation emission at the crack tip take place more easily, but the minor semi axis of the elliptical hole extend in the vertical direction makes it take place more difficultly.

Key words: interfacial crack, elliptic hole, shielding effect, dislocation emission

中图分类号: (General theory of continuum mechanics of solids)

46.05.+b

46.25.Cc (Theoretical studies) 46.50.+a (Fracture mechanics, fatigue and cracks) 61.72.Lk (Linear defects: dislocations, disclinations)

曾鑫, 方棋洪, 刘又文, P. H. Wen. Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole[J]. Chin. Phys. B, 2013, 22(1): 14601-014601.

Zeng Xin (曾鑫), Fang Qi-Hong (方棋洪), Liu You-Wen (刘又文), P. H. Wen. Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole[J]. Chin. Phys. B, 2013, 22(1): 14601-014601.

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Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole

Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole

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