In this paper

dual integral equations are presented to solve the interaction problem between the strip foundation under wall and transversely isotropic layered soils. Starting with the governing equations of plane strain problem in rectangular coordinates

the transfer matrix solution of layered soils can be obtained through the Fourier transform and the continuity conditions between two adjacent layers. Based on the transfer matrix solution of layered soils and the mixed boundary conditions of the contact problem

a pair of dual integral equations of subgrade reactions and the deflection of the footing is derived. The deflection is solved by elastic thin plate theory in the case that the strip foundation is subjected to vertical concentrated load. Dual integral equations are further converted to linear equations by means of the Jacobi orthogonal polynomials and series expansions. The results of numerical calculation carried out by the corresponding computer program are compared and agree well with those by FEM software ABAQUS

which proves the correctness of the method in this paper. Further numerical examples prove that the plate-soil stiffness ratio and the stratification of soils have a significant effect on subgrade reactions

surface settlement and vertical normal stress along the z - axial.