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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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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.

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Authors and Affiliations

  1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot, 010022, China

    Lianhe Li & Xiaowei Cui

  2. Department of Mechanics, Inner Mongolia University of Technology, Hohhot, 010051, China

    Junhong Guo

Authors
  1. Lianhe Li
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  2. Xiaowei Cui
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  3. Junhong Guo
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Correspondence to Junhong Guo.

Additional information

LI, L. H., CUI, X. W., and GUO, J. H. Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect. Applied Mathematics and Mechanics (English Edition), 41(6), 899–908 (2020) https://doi.org/10.1007/s10483-020-2615-6

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)

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Li, L., Cui, X. & Guo, J. Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect. Appl. Math. Mech.-Engl. Ed. 41, 899–908 (2020). https://doi.org/10.1007/s10483-020-2615-6

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  • DOI: https://doi.org/10.1007/s10483-020-2615-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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