Transmitting Boundary for Axisymmetrical Dilation Problems

Abstract

A plane strain transmitting boundary for axisymmetrical dilation problems is presented. Such a boundary can facilitate both analytical and finite element investigations of dynamic interaction of an embedded footing or a flexible pile with surrounding soil. It provides for unobstructed propagation of elastic waves from the vibrating body to infinity and can be placed directly to the body. The boundary complements the ones already available for longitudinal (axial), lateral, torsional, and antisymmetric motions. The boundary is presented for two cases: a homogeneous infinite medium and a composite medium containing an inner annular zone adjacent to the embedded body. The properties of the inner zone differ from those of the outer infinite zone in order to account, in an approximate way, for the behavior of the interface between the body and the soil and for soil non-linearity in the region of highest stress.