Abstract The aim of the present article is to study the propagation of Rayleigh surface waves in homogeneous transversely isotropic medium. The problem is considered under the purview of three-phase-lag model in an initially stressed magneto-thermoelastic half-space. Normal mode analysis is employed to the considered equations and eigenvalue approach is used to obtain the expressions for the displacements, stresses, and temperature. The frequency equations of Rayleigh surface waves are derived, and different cases are discussed. The effect of magnetic field and initial stress on the phase velocity and attenuation coefficient of Rayleigh waves are presented graphically.

中文翻译：

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磁热弹性各向异性半空间中的瑞利波

摘要 本文的目的是研究瑞利面波在均匀横向各向同性介质中的传播。该问题是在初始受力磁热弹性半空间中的三相滞后模型的范围内考虑的。对所考虑的方程采用法向模态分析，并使用特征值方法来获得位移、应力和温度的表达式。推导了瑞利面波的频率方程，并讨论了不同的情况。以图形方式展示了磁场和初始应力对瑞利波的相速度和衰减系数的影响。