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Viscoelastic initially stressed microbeam heated by an intense pulse laser via photo-thermoelasticity with two-phase lag

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  • Ahmed E. Abouelregal

    (Mathematics Department, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia†Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Kadry Zakaria

    (��Mathematics Department, Faculty of Science, Tanta University, Egypt)

  • Magdy A. Sirwah

    (��Mathematics Department, Faculty of Science, Tanta University, Egypt)

  • Hijaz Ahmad

    (�Information Technology Application and Research Center, Istanbul Ticaret University, 34445, Istanbul, Turkey¶Department of Mathematics, Faculty of Humanities and Social Sciences, Istanbul Ticaret University, 34445, Istanbul, Turkey)

  • Ali F. Rashid

    (��Mathematics Department, Faculty of Science, Tanta University, Egypt)

Abstract

This work aims to assess the response of viscoelastic Kelvin–Voigt microscale beams under initial stress. The microbeam is photostimulated by the light emitted by an intense picosecond pulsed laser. The photothermal elasticity model with dual-phase lags, the plasma wave equation and Euler–Bernoulli beam theory are utilized to construct the system equations governing the thermoelastic vibrations of microbeams. Using the Laplace transform technique, the problem is solved analytically and expressions are provided for the distributions of photothermal fields. Taking aluminum as a numerical example, the effect of the pulsed laser duration coefficient, viscoelasticity constants and initial stress on photothermal vibrations has been studied. In addition, a comparison has been made between different models of photo-thermoelasticity to validate the results of the current model. Photo-microdynamic systems might be monolithically integrated on aluminum microbeams using microsurface processing technology as a result of this research.

Suggested Citation

  • Ahmed E. Abouelregal & Kadry Zakaria & Magdy A. Sirwah & Hijaz Ahmad & Ali F. Rashid, 2022. "Viscoelastic initially stressed microbeam heated by an intense pulse laser via photo-thermoelasticity with two-phase lag," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-34, June.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:06:n:s0129183122500735
    DOI: 10.1142/S0129183122500735
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