Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

doi:10.1007/s10483-020-2615-6

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (6): 899-908.doi: https://doi.org/10.1007/s10483-020-2615-6

Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

Lianhe LI¹, Xiaowei CUI¹, Junhong GUO²

1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
2. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China

收稿日期:2019-12-10 修回日期:2020-03-14 发布日期:2020-06-08
通讯作者: Junhong GUO E-mail:guojunhong114015@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11962026, 11462020, 11862021, and 11502123) and the Inner Mongolia Natural Science Foundation of China (Nos. 2017MS0104 and NJZY18022)

Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

Lianhe LI¹, Xiaowei CUI¹, Junhong GUO²

1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
2. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China

Received:2019-12-10 Revised:2020-03-14 Published:2020-06-08
Contact: Junhong GUO E-mail:guojunhong114015@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11962026, 11462020, 11862021, and 11502123) and the Inner Mongolia Natural Science Foundation of China (Nos. 2017MS0104 and NJZY18022)

摘要/Abstract

摘要： The interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional (1D) hexagonal quasicrystal with piezoelectric effect is considered. A general formula of the generalized stress field, the field intensity factor, and the image force is derived, and the special cases are discussed. Several numerical examples are given to show the effects of the material properties and the dislocation position on the field intensity factors and the image forces.

关键词: screw dislocation, elliptical hole, conformal mapping, stress field, onedimensional (1D) hexagonal quasicrystal with piezoelectric effect

Abstract: The interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional (1D) hexagonal quasicrystal with piezoelectric effect is considered. A general formula of the generalized stress field, the field intensity factor, and the image force is derived, and the special cases are discussed. Several numerical examples are given to show the effects of the material properties and the dislocation position on the field intensity factors and the image forces.

Key words: screw dislocation, elliptical hole, conformal mapping, stress field, onedimensional (1D) hexagonal quasicrystal with piezoelectric effect

中图分类号:

74C20

Lianhe LI, Xiaowei CUI, Junhong GUO. Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(6): 899-908.

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Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

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