Abstract Present study deals with the scattering of a plane wave through an orthotropic thermoelastic slab sandwiched between two elastic half-spaces. Unlike the classical theory of thermoelasticity, we have employed non-classical thermoelastic theories (LS-theory and GL-theory) to analyze the scattering of plane waves. The amplitude ratios for different waves have been computed numerically for the considered generalized theories of thermoelasticity. The effect of the slab thickness on the amplitude ratios has been shown graphically. Moreover, the amplitude ratios of different waves (i.e., reflected, transmitted, forward and backward waves) are compared for different values of slab thickness under both the LS-theory and GL-theory.

中文翻译：

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通过夹在两个各向同性弹性半空间之间的正交各向异性热弹性板的波散射

摘要 目前的研究涉及平面波通过夹在两个弹性半空间之间的正交各向异性热弹性板的散射。与经典的热弹性理论不同，我们采用了非经典的热弹性理论（LS 理论和 GL 理论）来分析平面波的散射。对于所考虑的广义热弹性理论，已经对不同波的振幅比进行了数值计算。板坯厚度对振幅比的影响已以图形方式显示。此外，在 LS 理论和 GL 理论下，对于不同的板厚度值，比较了不同波（即反射波、透射波、前向波和后向波）的振幅比。