On a certain boundary value problem for a laminated half-space

In this contribution we are to show that on the boundaries of a laminated medium, which are perpendicular to the laminae interfaces, we observe some near-boundary phenomena related to the oscillatory character of the boundary tractions. The aim of this note is to describe and discuss those phenomena in dynamic problems. The analysis is carried out in the framework of the tolerance averaging technique. General considerations are illustrated by a certain special problem describing decay of the traction oscillations.