In this research article, the propagation of the plane waves in an initially stressed rotating magneto-thermoelastic solid half-space in the context of fractional-order derivative thermoelasticity is studied. The governing equations in the x–z plane are formulated and solved to obtain a cubic velocity equation that indicates the existence of three coupled plane waves. A reflection phenomenon for the incidence of a coupled plane wave for thermally insulated/isothermal surface is studied. The plane surface of the half-space is subjected to impedance boundary conditions, where normal and tangential tractions are proportional to the product of normal and tangential displacement components and frequency, respectively. The reflection coefficients and energy ratios of various reflected waves are computed numerically for a particular material and the effects of rotation, initial stress, magnetic field, fractional-order, and impedance parameters on the reflection coefficients and energy ratios are shown graphically.

中文翻译：

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阻抗边界对具有磁场的初应力旋转半空间中分数阶热弹性平面波反射的影响

在这篇研究文章中，研究了在分数阶导数热弹性背景下平面波在初始受力旋转磁热弹性固体半空间中的传播。制定并求解 x-z 平面中的控制方程以获得三次速度方程，该方程表明存在三个耦合平面波。研究了用于隔热/等温表面的耦合平面波入射的反射现象。半空间的平面受阻抗边界条件的影响，其中法向和切向牵引力分别与法向和切向位移分量和频率的乘积成正比。