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

• 来源期刊: 中国物理B（英文版）
• 关键词: parallel screw dislocations semi-infinite crack magnetoelectroelastic solid interaction
• 年，卷（期）: 2018,（7）
• 页码范围: 448-452
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/7/074601

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 solu-tion 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.