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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

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  • 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 date: 2019-12-10

  Revised date: 2020-03-14

  Online published: 2020-06-08

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)

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.

Cite this article

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, 2020 , 41(6) : 899 -908 . DOI: 10.1007/s10483-020-2615-6

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