| Naturally, soil is not homogeneous, but deposits layered. It could be regarded as uniform homogenization in each layer generally. However Boussinesq solution based on semi-infinite elastic space model is still applied to calculate additional stress and settlement in foundation. To resolve the problems of layered soil, some advanced study has been done. The analytic solutions of isotropic elastic layered soil under axisymmetrical, rectangular and strip loads were derived from the basic equations of isotropic elastic mechanics by means of transfer-matrix method. By the result, can easily calculate the additional stress and settlement in layered soil. But these solutions could not properly assess the errors from the elastomer of the bottom layer in foundation soil. In this thesis, studies are focused on as follows:(1) Based on analyzing the general transfer-matrix, the conception of the generalized double layer soil model is proposed, and the transfer-matrix (R) of half-infinite elastic mass is introduce -d to the analytic expressions of stress and settlement under the uniform circular, rectangular and strip vertical loads in multi-layered soil;(2)According to the analytic expressions of the additional stress and settlement under unifo -rm circular in multi-layered soil, rectangular and strip vertical loads, The programs are develop -ed to resolve and debugged. The results show that the programs are correct;(3)Through calculating the coefficient of additional stress on the central axis of uniform circ -ular vertical loads, under the corner point of the uniform rectangular vertical loads, and on the central axis of uniform strip vertical loads, and the settlement on the center of uniform circular vertical loads and uniform rectangular loads in double-layered soil, The characters of stress and settlement are discussed;(4) A case, as an example, is studied with different calculation methods, such as traditional theory, FEM. The results obtained are compared. As a result, the comparision indicates that the layered soil theory could reflect the distribution of additional stress more practically than the method based on Boussinesq solution. |