A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (3): 396-406 .

A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

郑宏, 刘德富, 李焯芬, 谭国焕

收稿日期:2004-08-17 修回日期:2004-11-17 出版日期:2005-03-18 发布日期:2005-03-18
通讯作者: 郑宏

A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

ZHENG Hong, LIU De-fu, LEE C.F. , THAM L.G.

1. College of Civil & Hydroelectric Engineering, Three Gorges University,
  Yichang 443002, Hubei Province, P.R.China;
2. Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R.China;
3. Department of Civil Engineering, The University of Hong Kong, Hong Kong, P.R.China

Received:2004-08-17 Revised:2004-11-17 Online:2005-03-18 Published:2005-03-18
Contact: ZHENG Hong

摘要/Abstract

Abstract: A new variational inequality formulation for seepage problems with free surfaces was presented, in which a boundary condition of Signorini's type was prescribed over the potential seepage surfaces. This made the singularity of seepage points eliminated and the location of seepage points determined. Compared to other variational formulations, the proposed formulation owns better numerical stability.

Key words: variational inequality, free boundary problem, finite element, seepage

中图分类号:

郑宏;刘德富;李焯芬;谭国焕. A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(3): 396-406 .

ZHENG Hong;LIU De-fu;LEE C.F.;THAM L.G.. A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(3): 396-406 .

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A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

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