Mathematical model of interaction of elastic L- and Sv-polarization waves with inhomogeneously deformed layer

Abstract

Within the framework of previously developed mathematical model of small elastic perturbations
propagation in homogeneously strained elastic continuum, a stationary problem for interaction of
a narrow ultrasonic beam of ultrasonic L- Sv-polarization wave with an elastic layer under plane
deformation, which separates two elastic half-spaces, has been formulated. The iterative
procedure for its solving has been constructed. The influence of the plane deformation parameters
on the change of directions of L- Sv wave’s propagation in the “elastic half-space – a layer –
elastic half-space” system has been studied.