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不排水不可压缩条件下土体-孔隙流体相互作用的半显式交互解法 被引量:2

Semi-explicit Staggered Method for Undrained,Incompressible Interated Soli-Pore Fluid Problems
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摘要 对不排水不可压缩条件下土体─孔队流体的相互作用问题,由于受Babuska-Brezzi稳定条件的限制,常规的有限元等插值u-p解法将不能给出正确的结果,本文提出的半显式文工解法可避免这一条件的限制,使得u,p的插值阶数保持一致,文中给出了一些简单的算例以验证本文方法的正确性. When equal interpolation orders for u-p are used,ordinary FEM will give wrong results for undrained-incompressible interacted soil-pore fluid problems restrained by the Babuska-Brezzi stability condition. The semi-explicit staggered method presented in this paper can avoid these restrained condition and the equal interpolation orders can be used. An example is given to verify the method.
出处 《四川水力发电》 1997年第2期30-35,共6页 Sichuan Hydropower
关键词 不可压缩 土体 孔隙流体 半显式交互解法 undrained incompressible,interaction,equal interpolation order
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参考文献1

  • 1Ivo Babu?ka. The finite element method with Lagrangian multipliers[J] 1973,Numerische Mathematik(3):179~192

同被引文献16

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  • 6PASTOR M,Li T,LIU X,et al.A fractional step algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems[J].Mech Cohes Frict Mater,2000(5):511-534.
  • 7LI Xi-kui,HAN Xian-hong,PASTOR M.An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics[J].Comput Meth Appl Mech Engrg,2003,192(6):3845-3859.
  • 8Biot M A. Theory of elasticity and consolidation for porous anisotropic solid[J]. Journal of Applied Physics, 1955, 26(2): 182-185.
  • 9ZIENKIEWICZ O C, CHAN C T, BETTESS R Drained, undrained, consolidating dynamic behaviour assumptions in soils[J]. Geotechnique, 1980, 30: 385-395.
  • 10ZIENKIEWICZ O C, CHAN A H C, PASTOR M. Static and dynamic behavior of soils: a rational approach to quantitative solutions. I. Fully saturated problems[J]. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 1990, 429: 285-309.

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