A simplified approach to time-dependent subsoil–structure interaction

The aim of the present paper is to present a very simple and effective model, describing the long-term deformations of both interacting sub domains – the subsoil and upper-structure in a similar manner. The effectiveness of the proposed approach consists in converting the integral constitutive equations for creep in the upper-structure and consolidation of a fully saturated subsoil layer into a set of the first order differential equations. Subsequently, the algebraic incremental solution is obtained by applying Dirichlet–Prony’s series for both the compliance function and degree of consolidation. The incremental method also comprises the building progress by taking into account the increments of individual segments consecutively added.