SH Wave Propagation Characteristics in a Prestressed Heterogeneous Bi-Material Medium Containing Circular Cavities

This study investigates SH-wave scattering phenomena in prestressed elastic bi-materials containing cylindrical cavities. The analytical framework involves four key components: First, Tensor formulation of wave equations in prestressed media, where coordinate transformations convert variable-coefficient Helmholtz equations to standard forms; Second, Development of scattering solutions through hybrid analytical techniques combining conformal mapping with image methods, rigorously satisfying half-space boundary conditions; Third, Implementation of Green’s function methodology via domain decomposition and equivalent loading systems to establish Fredholm integral equations; Fourth, Derivation of complete stress fields using elasticity superposition principles, with numerical solutions obtained through spectral expansion methods. Comparative validation against finite element simulations confirms solution accuracy, particularly regarding dynamic stress concentration effects near cavity boundaries.