Analytic Solutions for Stress and Displacement of a Compressible Soil Layer above Bedrock

Complex Variable Solution for Stress and Displacement of Layered Soil with Finite Thickness

“…As shown in Figure 1, in the ζ1 plane, the circumference of the unit circle (│ │ = 1) corresponds to the upper and lower boundaries of the first layer of soil. A , B , C , D , By substituting Equation (2) into Equation (1), the relationship between θ 1 and θ 2 at the same point t on the contact surface of the 1st layer and the 2nd layer can be obtained:…”

“…In many places, it is common to see compressible soil overlying rigid bedrock. In this case, the stress and displacement of soil are obviously different from that of a semi-infinite body medium [1]. Natural soils tend to be horizontally layered during deposition, the density and hardness of each layer are generally different, and the deformation characteristics may vary greatly [2].…”

“…When there is bedrock under the soil, it is very difficult to obtain an analytical solution regarding the stress and displacement due to the constraint of the bedrock on the soil. At present, only Lu et al [1] have obtained an explicit analytical expression for the stress and displacement of single-layer finite thickness soil under the action of a strip foundation by a complex variable method. In this paper, the solution in [1] is extended to layered soil, and the complex variable method [29] is used to solve the stress and displacement of multi-layer soil above bedrock under the action of a strip shallow foundation.…”

“…At present, only Lu et al [1] have obtained an explicit analytical expression for the stress and displacement of single-layer finite thickness soil under the action of a strip foundation by a complex variable method. In this paper, the solution in [1] is extended to layered soil, and the complex variable method [29] is used to solve the stress and displacement of multi-layer soil above bedrock under the action of a strip shallow foundation. Under the action of a strip foundation, the soil is subjected to a strip-distributed load.…”

“…Under the action of a strip foundation, the soil is subjected to a strip-distributed load. It is assumed that the distributed load does not change along the direction perpendicular to the surface; thus, the problem solved in this paper is a plane strain problem [1]. In this paper, each layer of soil is regarded as an isotropic linear elastic body with finite thickness, and the layers are in complete contact with each other.…”