Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (9): 1655-1664.doi: https://doi.org/10.1007/s10483-024-3142-9

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  • 收稿日期:2024-04-18 出版日期:2024-09-01 发布日期:2024-08-27

Study on the effective elastic performance of composites containing decagonal symmetric two-dimensional quasicrystal coatings

Yurun WU1, Lu LI1, Lianhe LI1,2,3,*()   

  1. 1 School of Mathematics and Science, Inner Mongolia Normal University, Hohhot 010022, China
    2 Inner Mongolia Applied mathematics Center, Hohhot 010022, China
    3 Key Laboratory of Infinite Dimensional Hamiltonian System and Its Algorithm Application, Ministry of Education, Hohhot 010022, China
  • Received:2024-04-18 Online:2024-09-01 Published:2024-08-27
  • Contact: Lianhe LI E-mail:nmglilianhe@163.com
  • Supported by:
    the Inner Mongolia Natural Science Foundation of China(2021MS01013);Project supported by the Inner Mongolia Natural Science Foundation of China (No. 2021MS01013)

Abstract:

On account of the Mori-Tanaka approach, the effective elastic performance of composites containing decagonal symmetric two-dimensional (2D) quasicrystal (QC) coatings is studied. Explicit expressions for the effective elastic constants of rare-earth QC reinforced magnesium-based composites are provided. Detailed discussion is presented on the effects of the volume fraction of the inclusions, the aspect ratio of the inclusions, the coating thickness, and the coating material parameters on the effective elastic constants of the composites. The results indicate that considering the coating increases the effective elastic constants of the composites to some extent.

Key words: Mori-Tanaka approach, coated inclusion, decagonal symmetric two-dimensional (2D) quasicrystal (QC)

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