Multi-scale modeling for dynamics of structure-soil-structure interactions

This paper presents two cases of multi-scale modeling in the context of dynamic structure soil-structure interaction. The first case concerns the behaviour of reinforced soils. It is shown that such system may involve both shear and bending effect at the leading order, which corresponds to a second gradient material. The second case addresses the seismic response of soils in presence of a densely urbanized city. It appears that the effect of resonance of the whole buildings in interaction actually modify the seismic response. In both cases the theoretical approach is completed by a validation through analogous samples tested on a shaking table.