Abstract
The problems of the consolidation of saturated soil under dynamic loading are very complex. At present, numerical methods are widely used in the research. However, some traditional methods, such as the finite element method, involve more degrees of freedom, resulting in low computational efficiency. In this paper, the scaled boundary element method (SBFEM) is used to analyze the displacement and pore pressure response of saturated soil due to consolidation under dynamic load. The partial differential equations of linear problems are transformed into ordinary differential equations and solved along the radial direction. The coefficients in the equations are determined by approximate finite elements on the circumference. As a semianalytical method, the application of scaled boundary element method in soil-structure interaction is extended. Dealing with complex structures and structural nonlinearity, it can simulate two-phase saturated soil-structure dynamic interaction in infinite and finite domain, which has an important engineering practical value. Through the research, some conclusions are obtained. The dimension of the analytical problem can be reduced by one dimension if only the boundary surface is discretized. The SBFEM can automatically satisfy the radiation conditions at infinite distances. The 3D scaled boundary finite element equation for dynamic consolidation of saturated soils is not only accurate in finite element sense but also convenient in mathematical processing.
Highlights
Dynamic consolidation analysis of foundation is one of the most concerned problems, such as seismic design of large underground caverns, high arch dams, super high-rise buildings, and other large-scale industrial and their response characteristics under mechanical vibration (Chen and He [1], Lu et al [2], and Jiang and Liang [3]). e free field formed by dynamic loads affects the dynamic response of long-span structures and has feedback effect on the propagation of vibration waves by different components. erefore, it is not reasonable to study the structure-constrained system as an isolator
Considering that the foundation soil is a saturated soil with two-phase coupling of water and soil, the dynamic consolidation of 3D infinite saturated soil is analyzed by the Scaled boundary finite element method (SBFEM), which has not been reported in previous literatures
The scaled boundary element method for single-phase elastic media is extended to the dynamic consolidation of 3D saturated soils with water-soil twophase coupling. e application of scaled boundary element method in soil-structure interaction is extended
Summary
Dynamic consolidation analysis of foundation is one of the most concerned problems, such as seismic design of large underground caverns, high arch dams, super high-rise buildings, and other large-scale industrial and their response characteristics under mechanical vibration (Chen and He [1], Lu et al [2], and Jiang and Liang [3]). e free field formed by dynamic loads affects the dynamic response of long-span structures and has feedback effect on the propagation of vibration waves by different components. erefore, it is not reasonable to study the structure-constrained system as an isolator. E main problems of finite element method based on the infinite boundary model, when it is used to analyze the dynamic consolidation of infinite foundation soil, are the inadequate accuracy of low-order boundary and the poor stability of high-order boundary. It does not have the accuracy in the sense of finite element. Compared with the boundary element method, it does not need to solve the fundamental solution, so it can effectively deal with the problem of anisotropic media which is complex and satisfies certain conditions. Considering that the foundation soil is a saturated soil with two-phase coupling of water and soil, the dynamic consolidation of 3D infinite saturated soil is analyzed by the SBFEM, which has not been reported in previous literatures
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