Interaction effects from the elastodynamic scattering by two symmetric spherical cavities

The scattering of harmonic waves has been studied extensively for problems in quantum mechanics, acoustics, electromagnetics, and elasticity. Solutions to elastodynamic are the basis ultrasonic non-destructive evaluation measurement models. Therefore, this study, we investigate use boundary element method (BEM) frequency domain using an off-boundary technique which observation points taken inside object. This methodology removes both non-integrable singularities from integration along with avoiding ill-conditioning effects that occur at fictitious eigenfrequencies require special computationally demanding procedures obtain solutions. Additionally, employ free half-space fundamental solutions (Green’s displacement tensors) incident, plane, time-harmonic longitudinal wave a homogeneous, isotropic, linear elastic solid one or two spherical cavities. solution reduces number required elements half, significantly computational resource requirements. We only consider cavities paper illustrate full BEM analyze interaction associated by symmetric To verify validity formulations, surface results compared existing show good agreement. Finally, is used back forward scattered fields as function distance