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

被引:46
作者
Othman, Mohamed I. A. [1 ]
Mondal, Sudip [2 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Basirhat Coll, Dept Math, Kolkata, India
关键词
Thermoelasticity; Micropolar; Wave propagation; Heat laser pulse; Memory-dependent derivative; Phase-lag model; CIRCULAR-CYLINDER; LINEAR-THEORY; HALF-SPACE; THERMODIFFUSION; RELAXATION; ROTATION; BEAMS; MODEL; TIME;
D O I
10.1108/HFF-05-2019-0402
中图分类号
O414.1 [热力学];
学科分类号
摘要
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. 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.
引用
收藏
页码:1025 / 1046
页数:22
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