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Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation

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Abstract

In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonlocal dual-phase-lag (NDPL). The first stage involves using NDPL model in order to develop the non-Fourier heat equation of circular cross-sectional beams in polar coordinates. This differential equation can be solved to arrive at temperature distribution in any arbitrary point of the beam. When the constitutive equations of the beam together with the extracted temperature distribution are substituted in the energy-based formulation of TED, an infinite series is produced as the TED relation in the context of NDPL model. Through a comparison study, the reliability of the acquired formula is analyzed. To shed light on how some key factors like nonclassical parameters of NDPL model, beam dimensions and material affect TED, several numerical data are prepared. As per the acquired outcomes, notably at high frequencies of oscillation, the use of NDPL model may profoundly impact the quantity and pattern of TED.

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Data availability statement

The data that support the findings of this study are available upon reasonable request from the authors.

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Authors and Affiliations

  1. Biomaterials and Transport Phenomena Laboratory, Yahia Fares University of Medea, Médéa, Algeria

    Fatma Zohra Saidoune

  2. Ural State University of Economics, Ekaterinburg, Russia

    M. Y. Turabi Ahmad

  3. College of Chemistry, Al-Zahraa University for Women, Karbala, Iraq

    Eyhab Ali

  4. Department of Petroleum Engineering, College of Engineering, Knowledge University, Erbil, Iraq

    Abdul Nasser Mahmood Fatah

  5. College of Health and Medical Technology, Al-Ayen University, Thi-Qar, 64001, Iraq

    Anaheed Hussein Kareem

  6. Department of Business Administration, College of Business Administration, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia

    Sana Shahab

  7. Department of Mechanical Engineering, Uttaranchal Institute of Technology, Uttaranchal University, Dehradun, 248007, India

    Sanjeev Kumar Joshi

  8. College of Technical Engineering, National University of Science and Technology, Dhi Qar, Iraq

    Hussein Abdullah Abbas

  9. College of Technical Engineering, The Islamic University, Najaf, Iraq

    Ahmed Alawadi

  10. College of Technical Engineering, The Islamic University of Al Diwaniyah, Al-Qadisiyyah, Iraq

    Ahmed Alawadi

  11. College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq

    Ahmed Alawadi

  12. College of Technical Engineering, Imam Ja’afar Al‐Sadiq University, Al‐Muthanna, 66002, Iraq

    Ali Alsalamy

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  1. Fatma Zohra Saidoune
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  2. M. Y. Turabi Ahmad
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Saidoune, F.Z., Turabi Ahmad, M.Y., Ali, E. et al. Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation. Acta Mech (2024). https://doi.org/10.1007/s00707-024-03941-y

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