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

doi:10.1088/1674-1056/27/7/074601

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 74601-074601.doi: 10.1088/1674-1056/27/7/074601

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

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

收稿日期:2017-11-18 修回日期:2018-02-23 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Xin Lv, Guan-Ting Liu E-mail:lvxinnmg@qq.com;guantingliu@imnu.edu.cn
基金资助:
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).

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

Received:2017-11-18 Revised:2018-02-23 Online:2018-07-05 Published:2018-07-05
Contact: Xin Lv, Guan-Ting Liu E-mail:lvxinnmg@qq.com;guantingliu@imnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: parallel screw dislocations, semi-infinite crack, magnetoelectroelastic solid, interaction

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.

Key words: parallel screw dislocations, semi-infinite crack, magnetoelectroelastic solid, interaction

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

46.05.+b

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

吕鑫, 刘官厅. Interaction between many parallel screw dislocations and a semi-infinite crack in a magnetoelectroelastic solid[J]. 中国物理B, 2018, 27(7): 74601-074601.

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[J]. Chin. Phys. B, 2018, 27(7): 74601-074601.

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

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

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