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首页> 外文期刊>Journal of thermal stresses >On electromagneto-thermoelastic plane waves under Green-Naghdi theory of thermoelasticity-II
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On electromagneto-thermoelastic plane waves under Green-Naghdi theory of thermoelasticity-II

机译：Green-Naghdi热弹性理论的电磁热平面波II

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摘要

The present work attempts to investigate the propagation of one-dimensional electromagneto-thermoelastic plane waves in an isotropic unbounded thermally and electrically conducting media with finite conductivity in the context of the theory of thermoelasticity of Green and Naghdi type-II. The heat conduction equation is affected with the Thomson coecient. Basic governing equations are modified by using Green-Naghdi theory of type-II. Our problem formulation derives two different systems. The first system is found to be coupled with the thermal field and represents the longitudinal wave. However, the second system represents transverse wave that is uncoupled with the thermal field. In both the cases, we identify waves that are affected with the magnetic field. Asymptotic expansions of dispersion relation solutions and various components of plane waves such as phase velocity, specific loss, and penetration depth are derived analytically for high- and low-frequency values in all cases. Analytical results predicting the limiting behavior of longitudinal and transverse waves are verified with the numerical results. The results of the present study are compared with the results of the thermoelastic case, and a detailed analysis of the effects of presence of the magnetic field under this theory has been presented.
机译：在格林和纳格迪二型热弹性理论的背景下，本工作试图研究一维电磁热弹性平面波在各向同性无边界导热导热有限的介质中的传播。导热方程受汤姆森系数影响。基本的控制方程式是通过使用II型Green-Naghdi理论进行修改的。我们的问题表述导出了两个不同的系统。发现第一系统与热场耦合并代表纵波。但是，第二个系统代表与热场不耦合的横波。在这两种情况下，我们都确定了受磁场影响的波。在所有情况下，对于高频值和低频值，都可以通过分析得出色散关系解的渐近展开和平面波的各种分量，例如相速度，比损耗和穿透深度。数值结果验证了预测纵向和横向波的极限行为的分析结果。将本研究的结果与热弹性情况的结果进行比较，并在此理论下对磁场存在的影响进行了详细分析。

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