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Chin. Phys. B, 2018, Vol. 27(7): 074601    DOI: 10.1088/1674-1056/27/7/074601
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Interaction between many parallel screw dislocations and a semi-infinite crack in a magnetoelectroelastic solid

Xin Lv(吕鑫), Guan-Ting Liu(刘官厅)
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China
Abstract  Based on the fundamental equations of magnetoelectroelastic material and the analytic theory, and using the Muskhelishvili-introduced well-known elastic techniques combined with the superposition principle, the closed form solution of the generalized stress field of the interaction between many parallel screw dislocations and a semi-infinite crack in an infinite magnetoelectroelastic solid is obtained, on the assumption that the surface of the crack is impermeable electrically and magnetically. Besides, the Peach-Koehler formula of n parallel screw dislocations is given. Numerical examples show that the generalized stress varies with the position of point z and is related to the material constants. The results indicate that the stress concentration occurs at the dislocation core and the tip of the crack. The result of interaction makes the system stay in a lower energy state.
Keywords:  parallel screw dislocations      semi-infinite crack      magnetoelectroelastic solid      interaction     
Received:  18 November 2017      Published:  05 July 2018
PACS:  46.05.+b (General theory of continuum mechanics of solids)  
  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. 11262017, 11262012, and 11462020), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2015MS0129), the Key Project of Inner Mongolia Normal University, China (Grant No. 2014ZD03), and the Graduate Research Innovation Project of Inner Mongolia Autonomous Region, China (Grant No. S20171013502).
Corresponding Authors:  Xin Lv, Guan-Ting Liu     E-mail:  lvxinnmg@qq.com;guantingliu@imnu.edu.cn

Cite this article: 

Xin Lv(吕鑫), Guan-Ting Liu(刘官厅) Interaction between many parallel screw dislocations and a semi-infinite crack in a magnetoelectroelastic solid 2018 Chin. Phys. B 27 074601

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