The Outgoing Time-Harmonic Elastic Wave in a Half-Plane with Free Boundary

Resumen

Under a time-harmonic assumption, we prove existence and uniqueness results for the outgoing elastic wave in an isotropic half-plane, where the source is given by a local normal stress excitation of the free boundary. This is the starting point for problems of elastic wave scattering by locally perturbed flat surfaces. The main difficulty is that the free boundary condition induces the propagation of a Rayleigh surface wave guided by the unbounded flat frontier. Due to the presence of this surface wave in the far field expansion, we need to impose a new radiation condition in order to describe both volume and surface outgoing wave behavior and to show uniqueness.

Autores: Durán, M., Muga, I., Nédélec, J.

Journal: SIAM Journal on Applied Mathematicsx

Journal Volume: 71

Journal Issue: 2

Journal Page: 443–464

Tipo de publicación: ISI

Fecha de publicación: 2011

Topics: Radiation condition, Linear elasticity, Half-plane, Rayleigh wave, Uniqueness

DOI: 10.1137/100786137

URL de la publicación: http://epubs.siam.org/doi/abs/10.1137/100786137