Plane Waves Reflection in a Generalized Magneto-Thermoelastic Solid in the Context of Three-Phase-Lag Model

IF 0.6 4区 工程技术 Q4 MECHANICS
S. M. Abo-Dahab, Mohamed I. A. Othman, M. A. Aiyashi, M. Daher Albalwi, A. Yvaz
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Abstract

The present paper is aimed at studying the reflection of thermoelastic waves under the generalized thermoelasticity theory is employed to study the reflection of plane harmonic waves from a semi-infinite elastic solid under the effect of the magnetic field in a vacuum. The formulation is applied under the thermoelasticity theory with three-phase-lag. The expressions for the reflection coefficients, which are the relations of the amplitudes of the reflected waves to the amplitude of the incident waves, are obtained. Similarly, the reflection coefficient ratio variations with the angle of incident under different conditions are shown graphically. Comparisons are made with the results predicted by different theories Lord-Shulman theory (L-S), the Green-Naghdi theory of type III (G-N III) and the three-phase-lag model (3PHL) in the absence and presence of a magnetic field. The new results obtained clear that the external parameters and theories applied have strong impact on the phenomenon and applicable on the related topics as geophysics, acoustics, aerospace. astronomy, …, etc

Abstract Image

Abstract Image

三相滞后模型背景下广义磁热弹性固体中的平面波反射
摘要 本文旨在研究广义热弹性理论下的热弹性波的反射问题,并采用广义热弹性理论来研究真空中磁场作用下半无限弹性固体对平面谐波的反射问题。该公式应用了三相滞后热弹性理论。得到了反射系数的表达式,即反射波振幅与入射波振幅的关系。同样,在不同条件下,反射系数比随入射角度的变化也以图形表示。在没有磁场和有磁场的情况下,与 Lord-Shulman 理论(L-S)、Green-Naghdi III 型理论(G-N III)和三相滞后模型(3PHL)等不同理论预测的结果进行了比较。获得的新结果清楚地表明,所应用的外部参数和理论对这一现象有很大影响,并适用于地球物理学、声学、航空航天、天文学等相关课题。
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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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