Influence of Abrupt Thickening on the Shear Wave Propagation on Reduced Cosserat Media with Imperfect Interface

Abstract

The present study delves into the propagation phenomenon of shear waves in a layered structure comprised of reduced Cosserat stratum imperfectly bonded to a reduced Cosserat substrate having abrupt thickening at the interface. The dispersion equation of the shear waves has been deduced in algebraic form by employing Fourier transformation along with a perturbation method. Moreover, the impact of differently shaped abrupt thickening existing at the imperfect interface on the frequency of shear wave has been studied numerically and demonstrated through graphing. A comparative study is carried out through graphical illustrations to highlight the concealed behavior of shear waves in response to various affecting parameters, such as an abrupt thickening parameter and imperfect bonding parameter. The present study provides a theoretical framework in the study of rotational seismology, lithosphere–asthenosphere boundary, and acoustic metamaterials.