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### 饱和土体固结3D比例边界有限元法分析

1. 1.南昌工程学院土木与建筑工程学院，南昌 　330029
2.上海交通大学船舶海洋与建筑工程学院，上海 　200240
• 收稿日期:2015-02-02 出版日期:2016-01-29 发布日期:2016-01-29
• 作者简介:徐斌（1971-)，男，湖北省孝感市人，教授，主要从事饱和土体-结构共同作用的动力问题研究．电话（Tel.):0791-88122912;E-mail:xmq418@163.com.
• 基金资助:
国家自然科学基金资助项目(51269021);江西省自然科学基金重点项目(20133ACB20006);江西省教育厅科技项目(GJJ14755)

### Modelling of Saturated Soil Dynamic Coupled Consolidation Problems Using Three-Dimensional Scaled Boundary Finite Element Method

XU Bin1(), XU Manqing1, WANG Jianhua2

1. 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
• Received:2015-02-02 Online:2016-01-29 Published:2016-01-29

Abstract:

Based on the Biot's dynamic coupled consolidation theory, the scaled boundary finite-element method was developed to correctly model the dynamic unbounded far-field boundary of three-dimensional (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 weighted-residual method were used to derive the formulation for the governing equations. The main difference from the single-phase 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 static-stiffness matrices by producing fully coupled matrices. Solving the resulting equations yielded a boundary condition satisfying the far-field 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 soil-structure boundary interface.