Meshfree Methods Applied to Consolidation Problems in Saturated Soils

  • Pedro Navas
  • Susana López-Querol
  • Rena C. YuEmail author
  • Bo Li
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 81)


A meshfree numerical model, based on the principle of Local Maximum Entropy, with a B-Bar based algorithm to avoid instabilities, is applied to solve consolidation problems in saturated soils. This numerical scheme has been previously validated for purely elasticity problems without water (mono phase), as well as for steady seepage in elastic porous media. Hereinafter, the model is validated for well known consolidation theoretical problems, both static and dynamic, with known analytical solutions. For several examples, the solutions obtained with the new code are compared to PLAXIS (commercial software). Finally, after validated, solutions for dynamic radial consolidation and sinks, which have not been found in the literature, are presented as a novelty. This new numerical approach is demonstrated to be feasible for this kind of problems in porous media.


Pore Pressure Saturated Soil Saturated Porous Medium Excess Pore Water Pressure Axisymmetric Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This research has been partially funded by the Spanish Ministry of Economy and Competitiveness through the projects BIA2012–31678 and MAT2012–35416. The first author also acknowledges the financial support via the fellowship No. BES2013–063924.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Pedro Navas
    • 1
  • Susana López-Querol
    • 2
  • Rena C. Yu
    • 1
    Email author
  • Bo Li
    • 3
  1. 1.School of Civil EngineeringUniversity of Castilla La-ManchaCiudad RealSpain
  2. 2.Department of Civil, Environmental and Geomatic EngineeringUniversity College LondonLondonUK
  3. 3.Department of Mechanical and Aerospace EngineeringCase Western Reserve UniversityClevelandUSA

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