This mathematical analysis has been accomplished for the purpose of understanding the propagation behaviour like phase velocity and attenuation of Love-type waves through visco-micropolar composite Earth’s structure.,The considered geometry of this problem involves a micropolar Voigt-type viscoelastic stratum imperfectly bonded to a heterogeneous Voigt-type viscoelastic substratum. With the aid of governing equations of motion of each individual medium and method of separation of variable, the components of micro-rotation and displacement have been obtained.,The boundary conditions of the presumed geometry at the free surface and at the interface, together with the obtained components of micro-rotation, displacement and mechanical stresses give rise to the determinant form of the dispersion relation. Moreover, some noteworthy cases have also been extrapolated in detail. Graphical interpretation irradiating the impact of viscoelasticity, micropolarity, heterogeneity and imperfectness on the phase velocity and attenuation of Love-type waves is the principal highlight of the present study.,In this study, the influence of the considered parameters such as micropolarity, viscoelasticity, heterogeneity, and imperfectness has been elucidated graphically on the phase velocity and attenuation of Love-type waves. It has been noticed from the graphs that with the rising magnitude of micropolarity and heterogeneity, the attenuation curves shift upwards, that is the loss of energy of these waves takes place in a rapid way. Hence, from the outcomes of the present analysis, it can be concluded that heterogeneous micropolar stratified media can serve as a helpful tool in increasing the attenuation or in other words, loss of energy of Love-type waves, thus reducing the devastating behaviour of these waves.,Till date, the mathematical modelling as well as vibrational analysis of Love-type waves in a viscoelastic substrate overloaded by visco-micropolar composite Earth’s structure with mechanical interfacial imperfection remain unattempted by researchers round the globe. The current analysis is an approach for studying the traversal traits of surface waves (here, Love-type waves) in a realistic stratified model of the Earth’s crust and may thus, serves as a dynamic paraphernalia in various domains like earthquake and geotechnical engineering; exploration geology and soil mechanics and many more, both in a conceptual as well as pragmatic manner.

中文翻译：

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粘微极复合结构超载粘弹性基底中力学缺陷对Love型波传递的影响

完成此数学分析的目的是了解 Love 型波通过粘微极复合地球结构的传播行为，如相速度和衰减。,该问题的考虑几何形状涉及微极 Voigt 型粘弹性地层与不完全结合的微极 Voigt 型粘弹性地层一种异质 Voigt 型粘弹性基质。借助每种介质的运动控制方程和变量分离方法，获得了微旋转和位移分量。,假定几何在自由表面和界面处的边界条件，连同获得的微旋转、位移和机械应力分量产生色散关系的行列式。而且，一些值得注意的案例也得到了详细的推断。辐照粘弹性、微极性、不均匀性和缺陷对 Love 型波的相速度和衰减的影响的图形解释是本研究的主要亮点。,在本研究中, 考虑的参数如微极性、粘弹性、 Love 型波的相速度和衰减已通过图形阐明了异质性和不完善性。从图中可以看出，随着微极性和异质性程度的增加，衰减曲线向上移动，即这些波的能量损失迅速发生。因此，从目前的分析结果来看，可以得出结论，异质微极分层介质可以作为一种有用的工具来增加衰减或换句话说，Love 型波的能量损失，从而减少这些波的破坏性行为。，迄今为止，数学建模为以及对具有机械界面缺陷的粘微极复合地球结构超载的粘弹性基底中的 Love 型波的振动分析仍然未被全球研究人员尝试。目前的分析是研究地壳的真实分层模型中表面波（这里是洛夫型波）的穿越特性的一种方法，因此可以作为地震和岩土工程等各个领域的动态工具；勘探地质学和土壤力学等等，