Analytical solution for two-dimensional soil-structure interaction with normal plane P-wave incidence

In this paper an analytical solution for two dimensional Soil-Structure Interaction(2DSSI) model is presented. The model consists of three parts: stress-free elastic, isotropic, homogeneous ground half-space, idealized rigid semi circular foundation and rectangular homogeneous building. The interactive system is excited by vertical incident P-wave. The presented analytical solution satisfies the stress-free boundary conditions at the half-space surface. The analyzed solutions for foundation motion and the relative response of the building can be further used for verification of numerical models developed
for 2DSSI