Spatial Discretization of a Water Head in Soil–Water Coupled Finite Element Method Analysis Using the Hybrid-Type Penalty Method

  • Masafumi Hirata
  • Atsushi Iizuka
  • Hideki Ohta
  • Tetsuo Fujiyama
  • Tomohide Takeyama
Chapter
Part of the Geotechnical, Geological and Earthquake Engineering book series (GGEE, volume 25)

Abstract

In the present soil–water coupled finite element method (FEM) analysis, a program known as deformation analysis considering stress anisotropy and reorientation (DACSAR; Iizuka and Ohta, Soil Found 27(3): 71–87, 1987), the spatial discretization procedure for representing the water head at the center of each finite element was adopted. However, it is known that the outflow of pore water from the element boundary happens to be incorrectly calculated depending on the mesh arrangement and the inclination of the boundary. To address this problem, this chapter proposes a more rigorous spatial discretization procedure for pore water flow. Namely, the hybrid-type penalty method (HPM) is introduced to spatially discretize the pore water flow in soil–water coupled finite element formulation, and the DACSAR program is modified using the proposed technique.

Keywords

Element Boundary Pore Water Pressure Nodal Point Finite Volume Method Hydraulic Gradient 
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References

  1. Akai K, Tamura T (1978) Numerical analysis of multi-dimensional consolidation accompanied with elasto-plastic constitutive equation. J JSCE 269:95–104 (in Japanese)Google Scholar
  2. Christian JT (1968) Undrained stress distribution by numerical method. Proc ASCE 96(SM6):1333–1345Google Scholar
  3. Hashiguchi K (1989) Subloading surface model with unconventional plasticity. Int J Solid Struct 25:917–945CrossRefGoogle Scholar
  4. Iizuka A, Ohta H (1987) A deformation procedure of input parameters in elasto-viscoplastic finite element analysis. Soil Found 27(3):71–87CrossRefGoogle Scholar
  5. Nagahara H, Takeda H, Tsuruoka N, Imai T, Ishiguro T, Fujiyama T, Itoh M, Ohta H (2002) Behavior of high airport embankment with geotextile horizontal drain. In: Proceedings of 7th international conference on geosynthetics, Nice, 2002, vol 2, pp 1051–1054Google Scholar
  6. Sandhu R, Wilson EL (1969) Finite element analysis of flow in saturated porous media. Proc ASCE 95(EM3):641–652Google Scholar
  7. Takeuchi N, Yada K, Kusabuka M, Takeda H (2000) Development of numerical method for seepage flow problems using penalty. Trans JSCES 2000, Paper No. 20000023 (in Japanese)Google Scholar
  8. Takeyama T, Iizuka A, Ohta H (2006) Spatial descritization of water head using approximation by linear function. In: Proceedings of the 41st JNCGE, Kagoshima, 2006, pp 321–322 (in Japanese)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Masafumi Hirata
    • 1
  • Atsushi Iizuka
    • 2
  • Hideki Ohta
    • 3
  • Tetsuo Fujiyama
    • 1
    • 4
  • Tomohide Takeyama
    • 5
  1. 1.Technical Research InstituteMaeda CorporationTokyoJapan
  2. 2.Research Center for Urban Safety and SecurityKobe UniversityKobeJapan
  3. 3.Research and Development InitiativeChuo UniversityTokyoJapan
  4. 4.Science and Technology Department, Engineering DivisionNuclear Waste Management Organization of Japan (NUMO)TokyoJapan
  5. 5.Department of Civil EngineeringTokyo Institute of TechnologyTokyoJapan

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