Research PaperNo Access

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

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

E-mail Address: ahabogal@gmail.com

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Kadry Zakaria

Mathematics Department, Faculty of Science, Tanta University, Egypt

E-mail Address: kadry.zakaria@science.tanta.edu.e

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Magdy A. Sirwah

Mathematics Department, Faculty of Science, Tanta University, Egypt

E-mail Address: Magdy.sirwah@science.tanta.edu.eg

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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

E-mail Address: hijaz555@gmail.com

Corresponding author.

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, and

Ali F. Rashid

Mathematics Department, Faculty of Science, Tanta University, Egypt

E-mail Address: a_f_rashid@yahoo.com

E-mail Address: PG_21166@science.tanta.edu.eg

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https://doi.org/10.1142/S0129183122500735Cited by:18 (Source: Crossref)

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.

Keywords:

AMSC: 74H45, 70J10

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