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The reference temperature dependence of Young’s modulus of two-temperature thermoelastic damping of gold nano-beam

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Abstract

This work is concerning with the study of the thermoelastic damping of a nanobeam resonator in the context of the two-temperature generalized thermoelasticity theory. An explicit formula of thermoelastic damping has been derived when Young’s modulus is a function of the reference temperature. Influences of the beam height and Young’s modulus have been studied with some comparisons between the Biot model and the Lord–Shulman model (L–S) for one- and two-temperature types. Numerical results show that the values of the thermal relaxation parameter and the two-temperature parameter have a strong influence on thermoelastic damping at nanoscales.

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Acknowledgements

The authors are grateful for the support for this work provided by the “Long-Term Comprehensive National Plan for Science, Technology, and Innovation” through STU–Umm Al-Qura University by grant number 10-MAT1243-10.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Education, Alexandria University, Alexandria, Egypt

    Hamdy M. Youssef

  2. Faculty of Engineering, Mechanics Department, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia

    Hamdy M. Youssef

  3. Basic and Applied Science, Arab Academy for Science and Technology, Alexandria, Egypt

    Alaa A. El-Bary

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  1. Hamdy M. Youssef
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  2. Alaa A. El-Bary
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Correspondence to Hamdy M. Youssef.

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Youssef, H.M., El-Bary, A.A. The reference temperature dependence of Young’s modulus of two-temperature thermoelastic damping of gold nano-beam. Mech Time-Depend Mater 22, 435–445 (2018). https://doi.org/10.1007/s11043-017-9365-9

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  • DOI: https://doi.org/10.1007/s11043-017-9365-9

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