Advances in nano research

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Thermoelastic deformation properties of non-localized and axially moving viscoelastic Zener nanobeams

  • Ahmed E. Abouelregal (Department of Mathematics, College of Science and Arts, Jouf University) ;
  • Badahi Ould Mohamed (Faculty of Sciences and Technology, University of Nouakchott) ;
  • Hamid M. Sedighi (Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz)
  • Received : 2023.07.19
  • Accepted : 2023.10.30
  • Published : 2024.02.25
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Abstract

This study aims to develop explicit models to investigate thermo-mechanical interactions in moving nanobeams. These models aim to capture the small-scale effects that arise in continuous mechanical systems. Assumptions are made based on the Euler-Bernoulli beam concept and the fractional Zener beam-matter model. The viscoelastic material law can be formulated using the fractional Caputo derivative. The non-local Eringen model and the two-phase delayed heat transfer theory are also taken into account. By comparing the numerical results to those obtained using conventional heat transfer models, it becomes evident that non-localization, fractional derivatives and dual-phase delays influence the magnitude of thermally induced physical fields. The results validate the significant role of the damping coefficient in the system's stability, which is further dependent on the values of relaxation stiffness and fractional order.

Keywords

References

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