Governing equations and boundary conditions of a generalized model of elastic foundation

Differential equations and admissible boundary conditions describing a new model of a generalized elastic foundation consisting of n SBS-layers (Fig.1) are proposed. Each SBS-layer (Shear layer – Bending layer – Spring layer) consists at outmost of three layers: a shear-sensitive layer, a bending layer and a layer formed by springs (Fig.2). The algorithm of finding the stress and displacements state in such a foundation is presented.

The model of foundation being proposed has a straightforward mechanical interpretation and may by utilized as a representation of many real structures e.g.: embankments, roads, runways, railway subgrades respectively, etc. Assuming true values for the constans describing properties of corresponding SBS-layers one can arrive at a model representing any elastic foundation.