Abstract The prime objective of the present article is to analyze the effects of rotation and initial stress on the propagation of Rayleigh surface waves in a homogeneous, orthotropic magneto-thermoelastic half space subjected to gravity field. The frequency equations in closed form are derived and the amplitude ratios of surface displacements, temperature change during the Rayleigh wave propagation on the surface of half space have been computed analytically. The highlights of this study are the effects of different parameters (rotation, magnetic field, initial stress, and gravity) on the velocity of Rayleigh waves. Variation in phase velocity of Rayleigh waves against a wave number is shown graphically. Some particular cases have been deduced. Also, the classical Rayleigh wave equation is obtained as a special case of the present study. Numerical example has been carried out and represented by the means of graphs. Impacts of various involved parameters appearing in the solutions are carefully analyzed. In fact, in the absence of various parameters, these equations are in agreement with the results for isotropic medium.

中文翻译：

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瑞利面波在受重力和初始应力作用的正交各向异性旋转磁热弹性介质中的传播

摘要 本文的主要目的是分析旋转和初始应力对受重力场作用的均匀正交各向异性磁热弹性半空间中瑞利面波传播的影响。推导出闭合形式的频率方程，并解析计算了瑞利波在半空间表面传播过程中表面位移的幅值比、温度变化。本研究的重点是不同参数（旋转、磁场、初始应力和重力）对瑞利波速度的影响。瑞利波的相速度随波数的变化以图形方式显示。已经推导出了一些特殊情况。此外，经典瑞利波动方程是作为本研究的一个特例获得的。数值例子已被执行并通过图表的方式表示。仔细分析了解决方案中出现的各种相关参数的影响。事实上，在没有各种参数的情况下，这些方程与各向同性介质的结果是一致的。