Reflection-transmission coefficient of SH waves in a layered interface with spring sandwiched between thin membranes: An application of strain gradient theory

This study examines the propagation of SH waves in a layer sandwich structure situated between two half-spaces, transitioning from denser to rarer media. It focuses on two refraction instances: from a denser medium (Medium L) to a rarer one (Medium M), and from Medium M, which is denser than a third medium, to a rarer Medium N. The first interface consists of a springs layer, while the second features a strain gradient membrane. The research investigates how parameters such as the spring constant, interfacial elasticity, and characteristic length affect wave behavior. Detailed contour plots illustrate the complexities of SH wave propagation, providing insights into wave dynamics within the multilayer structure. The study also derives the average energy transmission per unit area for shear waves at the interfaces and analyzes energy dissipation using 2D plots.