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Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix

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Abstract

The incorporation of the quasicrystalline phase into the metal matrix offers a wide range of potential applications in particle-reinforced metal-matrix composites. The analytic solution of the piezoelectric quasicrystal (QC) microsphere considering the thermoelectric effect and surface effect contained in the elastic matrix is presented in this study. The governing equations for the QC microsphere in the matrix subject to the external electric loading are derived based on the nonlocal elastic theory, electro-elastic interface theory, and eigenvalue method. A comparison between the existing results and the finite-element simulation validates the present approach. Numerical examples reveal the effects of temperature variation, nonlocal parameters, surface properties, elastic coefficients, and phason coefficients on the phonon, phason, and electric fields. The results indicate that the QC microsphere enhances the mechanical properties of the matrix. The results are useful for the design and understanding of the characterization of QCs in micro-structures.

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Acknowledgements

The authors would like to thank the Ling Chuang Research Project of China National Nuclear Corporation.

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Authors and Affiliations

  1. Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yunzhi Huang, Wenqing Zheng & Miaolin Feng

  2. Marine Design and Research Institute of China, Shanghai, 200011, China

    Wenqing Zheng

  3. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China

    Xiuhua Chen

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  1. Yunzhi Huang
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  2. Wenqing Zheng
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  4. Miaolin Feng
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Correspondence to Miaolin Feng.

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Project supported by the National Natural Science Foundation of China (Nos. U2067220 and 82000980)

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Huang, Y., Zheng, W., Chen, X. et al. Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix. Appl. Math. Mech.-Engl. Ed. 44, 1331–1350 (2023). https://doi.org/10.1007/s10483-023-3018-5

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  • DOI: https://doi.org/10.1007/s10483-023-3018-5

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