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Advances in Nano Research Volume 16, Number 2, February 2024 , pages 141-154 DOI: https://doi.org/10.12989/anr.2024.16.2.141 |
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Thermoelastic deformation properties of non-localized and axially moving viscoelastic Zener nanobeams |
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Ahmed E. Abouelregal, Badahi Ould Mohamed and Hamid M. Sedighi
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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. | ||
| Key Words | ||
| fractional order; nonlocal theory; phase lags; viscoelastic beams; Zener model | ||
| Address | ||
| Ahmed E. Abouelregal: Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia/ Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Badahi Ould Mohamed: Faculty of Sciences and Technology, University of Nouakchott, Nouakchott, Mauritania Hamid M. Sedighi: Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43337, Iran/ Drilling Center of Excellence and Research Center, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||