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| Modelling of Saturated Soil Dynamic Coupled Consolidation Problems Using ThreeDimensional Scaled Boundary Finite Element Method
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| XU Bin1,XU Manqing1,WANG Jianhua2 |
| (1. College of Civil Engineering and Architecture, Nanchang Institute of Technology, Nanchang 330029, China； 2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
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Abstract Abstract： Based on the Biot’s dynamic coupled consolidation theory, the scaled boundary finiteelement method was developed to correctly model the dynamic unbounded farfield boundary of threedimensional (3D) fully saturated soil in this paper. Body forces and surface tractions were considered in the derivation. The concept of similarity, the compatibility equation, Biot’s coupled consolidation equations, and the Galerkin’s weightedresidual method were used to derive the formulation for the governing equations. The main difference from the singlephase version was the presence of pore water pressures as additional parameters to be solved, in addition to the displacements, strain and stress which were incorporated into the staticstiffness matrices by producing fully coupled matrices. Solving the resulting equations yielded a boundary condition satisfying the farfield radiation condition exactly. The computed solutions were exact in a radial direction (perpendicular to the boundary and pointing towards infinity), while converging to the exact solution in the finite element sense in the circumferential direction parallel to the soilstructure boundary interface
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Received: 02 February 2015
Published: 29 January 2016
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