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Analytical solution for the interference fit problem of functionally graded materials hollow cylinder/spherical shell

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Abstract

Interference fit is a classic issue in mechanical engineering. In this paper, under the axial/spherical symmetrical assumption, the analytical solutions for the interference fit problem of the internal and external functionally graded materials (FGMs) hollow cylinder/spherical shell are obtained. Herein, the unified form of the FGMs hollow cylinder/spherical shell basic equation is given by introducing a geometric parameter. The degradations of the analytical solutions in this paper are consistent with the corresponding results in the existing work. The effects of interference value, structural material parameters, and geometric dimensions on the displacement and stress distribution of FGMs structures are analyzed numerically.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 11802225, 12061055) the Key projects of Ningxia Natural Science Foundation (No. 2022AAC02005) and the Ningxia high level scientific and technological innovation leading talent project (2021GKLRLX06).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, Ningxia, China

    Jun Xie, Hui Li, Pengpeng Shi & Fengjun Li

  2. Institute of Applied Mathematics and Mechanics, School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, Ningxia, China

    Jun Xie, Hui Li & Pengpeng Shi

  3. Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, Ningxia, China

    Pengpeng Shi

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  1. Jun Xie
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Correspondence to Pengpeng Shi or Fengjun Li.

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Xie, J., Li, H., Shi, P. et al. Analytical solution for the interference fit problem of functionally graded materials hollow cylinder/spherical shell. Acta Mech 235, 133–145 (2024). https://doi.org/10.1007/s00707-023-03740-x

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