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On generalized waves reflection in a micropolar thermodiffusion elastic half-space under initial stress and electromagnetic field
Mechanics Based Design of Structures and Machines ( IF 3.9 ) Pub Date : 2020-06-26 , DOI: 10.1080/15397734.2020.1784200
S. M. Abo-Dahab 1, 2 , A. M. Abd-Alla 3 , Abdullah Alsharif 2 , Hammad Alotaibi 2
Affiliation  

Abstract

We discuss the reflection waves phenomenon in a generalized thermoelastic micropolar half-space under initial stress, electromagnetic field, and diffusion based on two models: Lord-Shulman (LS) and Dual-Phase-Lag (DPL). The governing equations are formulated by considering new parameters as a constitutive equation, equation of motion, diffusion equation, and micropolar equation in the context of two thermoelastic models. Lame potentials are used to separate the equations to dilatational and shear components. So, the characteristic equation indicates to five reflected waves due to the motion, diffusion, micropolar, and thermoelastic effects. The boundary conditions have been applied concerning the mechanical and maxwell stresses, temperature, diffusion, and micropolar. The reflection coefficients ratios are calculated for the general case in the presence of thermodiffusion and microplarity, and the absence of microplarity of the medium. The effect of the initial stress, relaxation times, electromagnetic field, and angle of incidence on the reflection coefficients for thermal wave incidents are displayed graphically to show the physical meaning of the phenomenon. We compare our results which we obtain by using the external parameters effect with other results. The specific loss of energy has been also computed analytically and presented by graph.



中文翻译:

初应力和电磁场作用下微极热扩散弹性半空间的广义波反射

摘要

我们基于两个模型讨论了广义热弹性微极半空间在初始应力、电磁场和扩散下的反射波现象:Lord-Shulman (LS) 和 Dual-Phase-Lag (DPL)。在两个热弹性模型的背景下,通过将新参数视为本构方程、运动方程、扩散方程和微极方程来制定控制方程。跛脚势用于将方程分离为膨胀和剪切分量。因此,特征方程表示由于运动、扩散、微极和热弹性效应而产生的五种反射波。边界条件已应用于机械应力和麦克斯韦应力、温度、扩散和微极。反射系数比是针对存在热扩散和微晶体以及不存在介质微晶体的一般情况计算的。以图形方式显示初始应力、弛豫时间、电磁场和入射角对热波入射反射系数的影响,以显示现象的物理意义。我们将使用外部参数效应获得的结果与其他结果进行比较。能量的特定损失也已通过分析计算并以图表形式呈现。以图形方式显示热波入射的反射系数和入射角,以显示现象的物理意义。我们将使用外部参数效应获得的结果与其他结果进行比较。能量的特定损失也已通过分析计算并以图表形式呈现。以图形方式显示热波入射的反射系数和入射角,以显示现象的物理意义。我们将使用外部参数效应获得的结果与其他结果进行比较。能量的特定损失也已通过分析计算并以图表形式呈现。

更新日期:2020-06-26
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