Upper bound analysis of stability of soil slope subjected to pore water pressure using finite elements

WANG Jun-xing; LI Ze

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Upper bound analysis of stability of soil slope subjected to pore water pressure using finite elements

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- Upper bound analysis of stability of soil slope subjected to pore water pressure using finite elements
- Vol. 28, Issue 2, (2007)
- 作者机构：
  
  武汉大学水资源与水电工程科学国家重点实验室,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU413
- Online First：28 August 2013，
  
  Published：2007
- 稿件说明：
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WANG Jun-xing, LI Ze. Upper bound analysis of stability of soil slope subjected to pore water pressure using finite elements[J]. 2007, 28(2).
DOI：

WANG Jun-xing, LI Ze. Upper bound analysis of stability of soil slope subjected to pore water pressure using finite elements[J]. 2007, 28(2). DOI：

摘要

基于塑性极限分析的上限定理，考虑孔隙水压力的影响，以结点速度为未知量，根据塑性流动约束条件、速度间断约束条件、速度边界约束条件以及由外功功率与内功功率相等条件得到的目标函数，建立了求解孔隙水压力条件下土坡稳定性的有限元塑性极限分析线性规划数学模型；可求得边坡安全系数的上限值及相应的机动容许位移场；最后对2个经典算例进行了分析，验证了提出方法和程序是正确可行的。

Abstract

Based on the theory of upper bound limit analysis

the velocities of the nodes are regarded as unknown quantity

with the conditions of flow rule

velocity discontinuity

velocity boundary

the energy-work balance equation

the linear programming model of stability of slope subjected to pore water pressure are established. The pore water pressure is considered as an external force. Then the upper limit value of the safety coefficients of slopes

and the corresponding kinematically admissible velocity fields are obtained. Finally

using the proposed method，the stability of two classical soil slopes are calculated; and the results demonstrate the correctness of the method.

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