Application of state equation method to seepage-stress coupling field

HAN Wei-jie; MEI Fu-liang; HOU Mi-shan

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Application of state equation method to seepage-stress coupling field

更新时间：2026-06-25

- Application of state equation method to seepage-stress coupling field
- Vol. 29, Issue 1, (2008)
- 作者机构：
  
  1. 中国石油大学（华东）工程力学系,山东,东营,257061
  2. 嘉兴学院建筑工程系,浙江,嘉兴,314000
- 作者简介：
- 基金信息：
- DOI：
  CLC： O357
- Online First：18 July 2013，
  
  Published：2008
- 稿件说明：
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HAN Wei-jie, MEI Fu-liang, HOU Mi-shan. Application of state equation method to seepage-stress coupling field[J]. 2008, 29(1).
DOI：

HAN Wei-jie, MEI Fu-liang, HOU Mi-shan. Application of state equation method to seepage-stress coupling field[J]. 2008, 29(1). DOI：

摘要

提出了一种计算土体渗流-应力耦合场的状态方程法。按平面应变问题，将描述渗流-应力耦合的平面固结方程进行空间离散，并用状态方程表示了有限元控制方程。利用牛顿-柯特斯公式，导出了当前时间步节点位移向量与前一时间步位移向量之间关系的递推公式。算例表明：状态方程法解决土体渗流-应力耦合问题与传统差分法相比的优势在于用较少的机时即可得到较为精确的解。

Abstract

State equation method for calculation of seepage-stress coupling field is developed. First the Biot equation is meshed by finite element method in the spatial domain; and the state equation is used to describe the control equation in terms of a plane strain problem. Then the iterative formula for calculating the displacement at the node is deduced by using the fine integral method. Example shows that the results are good in harmony with the exact results; and that the method could save lots of time as compared with the traditional method.

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