Three Dimensional Fully Coupled Consolidation for Spherical Soil under Arbitrary Load and Example Analysis

 

Yulin Wang

College of Civil Engineering and Architecture, Wuyi University, Wu Yishan 354300, China y
wang513@163.com

Dazhong Huang

Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
huangdz05@163.com

Kanghe Xie

Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
zdkhxie@zju.edu.cn

Huahong Lian

China Railway 17th Bureau Group No.6 Eng. CO.,LTD. ,Fu zhou 361009, China
601219695@qq.com

 

 ABSTRACT

Based on the continuum equation of elastic mechanics, the fully coupled mathematical model for consolidation of spherical soil under arbitrary loads is presented, and the corresponding analytical solution for the excess pore water pressure and radial displacement of spherical soil are both solved by method of separation of variables and orthogonality of spherical Bessel function. To investigate consolidation process of spherical soil and influencing factors, two typical loading and boundary conditions are taken as numerical examples and the dissipating process of excess pore water pressure is illustrated.

Keywords: Consolidation; analytical solution; fully coupled; elastic mechanics; Bessel function; analytical solution.

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