Asymptotical analysis of steady-state and moving load problems for surface and edge waves in elastic mediums

In this master thesis, It has been studied formulations of asymptotic models developed for surface and edge wave problems in elastic solids. Respectively, a hyperbolicelliptic model is developed for the Rayleigh(surface) waves in the elastic half-space. Surface wave problems with this model are incorporated with mixed boundary conditions. This model has also been applied to stationary and moving load problems. Finally, whereas hyperbolic-elliptic duality seen on the surface, a parabolic-elliptic duality is obtained for waves forming at the edge of thin elastic plates. As a result, in both wave types respectively hyperbolic and parabolic equations are found in the boundary and elliptic equations are found in the elastic body.