Abstract
Based on the stress analysis of a point in space, the stress analysis of a point on a surface is performed, and then the relationship among the normal stress, the shear stress, and the stress component of a point on a surface and the first order partial derivative of the surface equation is deduced. Equilibrium equations of soil columns between the sliding surface and the top surface of the slope are established, which include differential equilibrium equation of force, equilibrium equation of force, and equilibrium equation of moment. These equilibrium equations and Coulomb yield condition can form the fundamental equations of three-dimensional slope stability analysis. Applying the supposition similar to that applied in the simplified Bishop method, a kind of three-dimensional slope analysis method can be obtained. An example is presented to show that the computation method is reasonable and applicable.
Highlights
The bearing capacity of the foundation, the stability of the slope and the earth pressure are the main problem in the engineering practice
The problem of the bearing capacity of foundation is the shape of the foundation in engineering practice, the strip foundation (2D) is not exist, in many cases can be simplified as a two-dimensional problem, or by two-dimensional approximate calculation; but it should be considered as 3D problem
It can be said that the research on the theory and application of three-dimensional soil limit analysis is behind engineering practice, and it isn’t fully meeting the engineering needs
Summary
The bearing capacity of the foundation, the stability of the slope and the earth pressure are the main problem in the engineering practice. Up to now, there is no uniform definition for the stress field of the soil in the limit state. Analysis, and no connection with the space surface; the limit state of stress field is connected with yield surface or sliding surface. The existing yield criterion is only one of the equations that should be satisfied for the limit state of soil. It cannot form a complete set of basic equations together with the equilibrium equation. It can be said that the research on the theory and application of three-dimensional soil limit analysis is behind engineering practice, and it isn’t fully meeting the engineering needs
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