Structural Engineering and Mechanics

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Dual-phase-lag model on microstretch thermoelastic medium with diffusion under the influence of gravity and laser pulse

  • Othman, Mohamed I.A. (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Abd-Elaziz, Elsayed M. (Ministry of Higher Education, Zagazig Higher Institute of Eng. & Tech.) ;
  • Mohamed, Ibrahim E.A. (Department of Mathematics, Faculty of Science, Zagazig University)
  • Received : 2019.10.08
  • Accepted : 2020.02.10
  • Published : 2020.07.25
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Abstract

This investigation is to study the effect of gravitational field and diffusion on a microstretch thermoelastic medium heating by a non-Gaussian laser beam. The problem was studied in the context of the dual-phase-lag model. The normal mode analysis is used to solve the problem to obtain the exact expressions for the non-dimensional displacement components, the micro-rotation, the stresses, and the temperature distribution. The effect of time parameter, heat flux parameter and gravity response of three theories of thermoelasticity i.e. dual-phase-lag model (DPL), Lord and Shulman theory (L-S) and coupled theory (CT) on these quantities have been depicted graphically for a particular model.

Keywords

Acknowledgement

The author(s) received no financial support for the research, authorship, and/or publication of this article.

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