Memory-dependent derivative effect on wave propagation of micropolar thermoelastic medium under pulsed laser heating with three theories

• Published in: International journal of numerical methods for heat & fluid flow 2020-03, Vol.30 (3), p.1025-1046
• Main Authors: Othman, Mohamed I.A., Mondal, Sudip
• Format: Article
• Language: English
• Subjects: Calculus; Components; Displacement; Elasticity; Gaussian beams (optics); Heat; Heating; Laser beam heating; Lasers; Phase lag; Propagation; Pulse duration; Pulse propagation; Pulsed lasers; Stress concentration; Stresses; Temperature; Temperature dependence; Temperature distribution; Theories; Thermoelasticity; Time dependence; Wave propagation
• ISSN: 0961-5539; 0961-5539; 1758-6585
• DOI: 10.1108/HFF-05-2019-0402

Purpose The purpose of this paper is to introduce the phase-lag models (Lord-Shulman, dual-phase-lag and three-phase-lag) to study the effect of memory-dependent derivative and the influence of thermal loading due to laser pulse on the wave propagation of generalized micropolar thermoelasticity. The bounding plane surface is heated by a non-Gaussian laser beam with a pulse duration of 10 nanoseconds. Design/methodology/approach The normal mode analysis technique is used to obtain the exact expressions for the displacement components, the force stresses, the temperature, the couple stresses and the micro-rotation. Comparisons are made with the results predicted by three theories of the authors’ interest. Excellent predictive capability is demonstrated at a different time also. Findings The effect of memory-dependent derivative and the heat laser pulse on the displacement, the temperature distribution, the components of stress, the couple stress and the microrotation vector have been depicted graphically. Research limitations/implications Some particular cases are also deduced from the present investigation. Originality/value The numerical results are presented graphically and are compared with different three theories for both in the presence and absence of memory-dependent effect and with the results predicted under three theories for two different values of the time.