Structural Engineering and Mechanics

Volume 75, Number 2, 2020, pages 133-144

DOI: 10.12989/sem.2020.75.2.133

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

Mohamed I.A. Othman, Elsayed M. Abd-Elaziz and Ibrahim E.A. Mohamed

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.

Key Words

gravity; microstretch; dual-phase-lag; diffusion; laser pulse

Address

Elsayed M. Abd-Elaziz : Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt Mohamed I.A. Othman and Ibrahim E.A. Mohamed: Ministry of Higher Education, Zagazig Higher Institute of Eng. & Tech., Zagazig, Egypt