Advertisement

Applied Mathematics and Mechanics

, Volume 26, Issue 11, pp 1475–1483 | Cite as

Onset condition of strain localization in matrix of saturated porous media

  • Ji-sheng Zhao
  • Xia-xin Tao
  • Li-jing Shi
  • Jin-ping Ou
Article

Abstract

Based on governing equations of saturated porous media and Liapunov’s stability here, onset conditions matrix of porous media used by solid stress and Terzaghi’s effective stress constitutive description under seepage flow state, are presented, which have different forms with different representation of the solid phase, matrix or skeleton, constitutive model of porous media. The main difference relates with how to describe the interaction between solid phase and liquid phase in constitutive model. The derived onset condition of strain localization under Terzaghi’s effective stress description can be used to interpret different failure types, piping effect, landslides and mudflows, by means of the type and the magnitude ratio of relative movement between solid phase and liquid phase. Examples here illuminate the onset condition of how to work.

Key words

porous medium solid stress Terzaghi’s effective stress constitutive model of matrix onset condition of strain localization 

Chinese Library Classification

O347.2 TU432 

Document Code

2000 Mathematics Subject Classification

74F10 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Zhang H W, Schrefer B A. Uniqueness and localization analysis of elastic-plastic saturated porous media [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2001, 25(l):29–48.MATHGoogle Scholar
  2. [2]
    Rouche N, Habets P, Laloy M. Stability Theory by Liapunov’s Direct Method[M]. Springer, New York, 1977, 58–72.MATHGoogle Scholar
  3. [3]
    Bear J. Dynamics of Fluids in Porous Media[M]. American Elsevier Publishing Company, INC, New York, 1972, 54–61.MATHGoogle Scholar
  4. [4]
    Zhao Jisheng. On Application of Steel Reinforced Concrete in Cast-in-Situ Pile Foundation Engineering[D]. Ph D Dissertation. Institute of Engineering Mechanics,China Earthquake Administration, Harbin, 2001, 103–113 (in Chinese).Google Scholar
  5. [5]
    Chen Shaolin. Numerical Simulation for Near-Field Wave Motion in Two-Phase Media[D]. Ph. D Dissertation.Institute of Engineering Mechanics, China Earthquake Administration, Harbin, 2002 (in Chinese).Google Scholar
  6. [6]
    [6] James K M. Fundamentals of Soil Behavior[M]. John Wiley and Sons, INC, New York, 1976, 50–57.Google Scholar

Copyright information

© Editorial Committee of Appl. Math. Mech. 2005

Authors and Affiliations

  • Ji-sheng Zhao
    • 1
    • 2
  • Xia-xin Tao
    • 1
    • 2
  • Li-jing Shi
    • 2
  • Jin-ping Ou
    • 1
  1. 1.Institute of Engineering MechanicsChina Earthquake AdministrationHarbinP. R. China
  2. 2.School of Civil EngineeringHarbin Institute of TechnologyHarbinP. R. China

Personalised recommendations