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Chin. Phys. B, 2013, Vol. 22(1): 014601    DOI: 10.1088/1674-1056/22/1/014601
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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

Zeng Xina b, Fang Qi-Honga b, Liu You-Wena b, P. H. Wenc
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
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.
Keywords:  interfacial crack      elliptic hole      shielding effect      dislocation emission  
Received:  30 May 2012      Revised:  12 July 2012      Published:  01 December 2012
PACS:  46.05.+b (General theory of continuum mechanics of solids)  
  46.25.Cc (Theoretical studies)  
  46.50.+a (Fracture mechanics, fatigue and cracks)  
  61.72.Lk (Linear defects: dislocations, disclinations)  
Fund: 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.
Corresponding Authors:  Liu You-Wen     E-mail:  liuyouw8294@sina.com

Cite this article: 

Zeng Xin, Fang Qi-Hong, Liu You-Wen, P. H. Wen Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole 2013 Chin. Phys. B 22 014601

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