Dual integral equation solution of eccentricly loaded rectangular rigid foundation embedded in layered transversely isotropic soils

This paper investigates the static interaction between an eccentricly loaded rectangular rigid foundation and layered transversely isotropic soils. Firstly, the solution of the layered transversely isotropic soils is derived using the analytical layer element method. After decomposing the deformation forms of the rigid rectangular foundation under eccentric loads, we establish the dual integral equations through mixed boundary conditions. Then, the Jacobi orthogonal polynomial and the Bessel function are employed to solve the above dual integral equations, and the static response solution of the rigid rectangular foundation subjected to eccentric loads is obtained through superposition. The results of this study are compared with those obtained from ABAQUS simulation to verify the presented method. Finally, numerical examples are designed to further elucidate the influence of transverse isotropy and stratification of the soils as well as the embedded depth and aspect ratio of foundation on the static response of a rigid rectangular foundation due to eccentric loads.