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A novel space–time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates

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Abstract

A novel space–time generalized finite difference method based on the direct space–time discretization technique is developed for solving dynamic coupled thermoelasticity problems. By considering the time scale as an additional space dimension, the spatial and temporal domains are simultaneously discretized. In our numerical implementation, the velocity is introduced as an additional unknown field quantity for dealing with the inertia item appearing in elastodynamic equations. Some dynamic coupled thermoelasticity problems in homogeneous or heterogeneous plates under different loading cases are numerically analyzed by this method. The accuracy of the present method is verified by comparison with analytical solutions or other numerical results.

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Acknowledgements

The work is supported by the National Natural Science Foundation of China (No. 11972054) and the Natural Science Foundation of Shandong Province of China (ZR2017JL004), which are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Jun Lei, Xun Wei & Qin Wang

  2. School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, China

    Yan Gu

  3. Department of Harbor and River Engineering and Computation and Simulation Center, National Taiwan Ocean University, Keelung, 20224, Taiwan

    Chia-Ming Fan

Authors
  1. Jun Lei
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  2. Xun Wei
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  3. Qin Wang
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  4. Yan Gu
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  5. Chia-Ming Fan
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Correspondence to Jun Lei.

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Lei, J., Wei, X., Wang, Q. et al. A novel space–time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates. Arch Appl Mech 92, 287–307 (2022). https://doi.org/10.1007/s00419-021-02056-3

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  • DOI: https://doi.org/10.1007/s00419-021-02056-3

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