At present

the research of subgrade lateral deformation mostly focuses on field test or numerical simulation

but few on theoretical calculations and analysis. To deeply investigate the lateral deformation of ground

the analytical expressions of the lateral deformation of ground under the infinite long line load

uniform strip load

triangular distribution strip load and trapezoidal distribution strip load are derived on the basis of elasticity solution of J. V. Boussinesq and plane strain problem. Compared with the finite element numerical results

the analytical solutions are verified. On this basis

the influence of the Poisson's ratio of soil

the width of embankment and slope of embankment on the lateral deformation field are mainly analyzed. The result of calculation shows that the lateral deformation of soil on the same vertical line under the embankment load is bow-shaped along the depth and the maximum deformation is at a depth below the ground surface. The Poisson's ratio has a significant effect on the lateral deformation of ground: in the shallow soil near the slop foot

the direction of lateral deformation of ground is gradually transferred from the inside embankment to the outside because of the increase of Poisson's ratio of soil; In addition

the higher the poisson ratio is

the more the horizontal displacement of the soil will have

and the maximum displacement moves up gradually. The results can provide some theoretical support for the deformation analysis and stability monitoring of similar embankment engineering.