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Study on the buckling behavior of nonlocal nanoplate submerged in viscous moving fluid

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Abstract

In this article, the buckling behavior of a nanoplate at the bottom of the channel over which the fluid passes with a one-dimensional flow was investigated. Navier–Stokes equations were used to obtain the applied force from the fluid to the nanoplate. Nonlocal elasticity theory was used to consider nanoscale effects, and this problem was solved using Galerkin’s weighted residual method. In previous research, the buckling behavior of nanoplates was done with the assumption of buckling in a vacuum, but in this study, the environment around the nanoplate is assumed to be a flowing viscous fluid. According to the results presented in this study, the critical buckling load of nanoplates coupled with fluid declines with the increase in the nonlocal parameter. Increasing the velocity of the fluid in contact with the nanoplate leads to a rise in the critical load of the nanoplate for all nonlocal parameter values and different modes, and the critical load value rises compared to the buckling in a vacuum. Compared to fluid density, fluid viscosity has less effect on changing the buckling behavior of nanoplates.

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Acknowledgements

The authors are grateful to the referees and the editor for carefully checking the details and for helpful comments that improved this paper.

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The authors of this article received no financial support.

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Authors and Affiliations

  1. School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 16846-13114, Tehran, Iran

    Reza Ahmadi Arpanahi, Bijan Mohammadi & Shahrokh Hosseini Hashemi

  2. School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    Mohammad Taghi Ahmadian

Authors
  1. Reza Ahmadi Arpanahi
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  2. Bijan Mohammadi
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  3. Mohammad Taghi Ahmadian
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  4. Shahrokh Hosseini Hashemi
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Contributions

All authors contributed to this work, commented on the manuscript, read and approved the final manuscript. SHh contributed to the conceptualization; MTA has contributed in preparing the revised version of the manuscript, bm and rA A were involved in the methodology, simulations and writing the manuscript.

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Correspondence to Shahrokh Hosseini Hashemi.

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Arpanahi, R.A., Mohammadi, B., Ahmadian, M.T. et al. Study on the buckling behavior of nonlocal nanoplate submerged in viscous moving fluid. Int. J. Dynam. Control 11, 2820–2830 (2023). https://doi.org/10.1007/s40435-023-01166-w

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  • DOI: https://doi.org/10.1007/s40435-023-01166-w

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