Abstract The purpose of present investigation is to study the reflection and transmission phenomena at the plane interface between an orthotropic thermoelastic half-space and an initially stressed orthotropic thermoelastic rotating half-space with diffusion. The enuciation is applied to generalized thermoelasticity based on Lord-Shulman theory. The amplitude and energy ratios of the reflected and transmitted waves are derived and the numerical computations have been carried out with the help of MATLAB programing. The effects of initial stress, rotation and diffusion parameters on the amplitude ratios are depicted graphically. It has been verified that at each angle of incidence, there is no dissipation of energy at the interface during reflection and transmission phenomena. Moreover, the effect of anisotropy is also depicted on the velocities of various reflected and transmitted waves. The velocities of these waves are found to depend on the angle of propagation in an orthotropic medium. This dependence of velocities on the direction of propagation is shown graphically.

中文翻译：

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正交各向异性热弹性半空间和初始应力正交各向异性旋转热弹性漫射半空间之间的反射和传输

摘要 本研究的目的是研究正交各向异性热弹性半空间与带扩散的初始应力正交各向异性热弹性旋转半空间之间平面界面处的反射和透射现象。该阐述适用于基于 Lord-Shulman 理论的广义热弹性。推导出反射波和透射波的振幅和能量比，并借助MATLAB编程进行数值计算。以图形方式描述了初始应力、旋转和扩散参数对振幅比的影响。经验证，在每个入射角，在反射和透射现象期间，界面处没有能量耗散。而且，还描述了各向异性对各种反射波和透射波的速度的影响。发现这些波的速度取决于正交各向异性介质中的传播角度。速度对传播方向的这种依赖性以图形方式显示。