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Meshfree Methods Applied to Consolidation Problems in Saturated Soils

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Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 81))

Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. School of Civil Engineering, University of Castilla La-Mancha, Avda. Camilo Jose Cela s/n, 13071, Ciudad Real, Spain

    Pedro Navas & Rena C. Yu

  2. Department of Civil, Environmental and Geomatic Engineering, University College London, Gower Street, London, WC1E 6BT, UK

    Susana López-Querol

  3. Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH, 44106, USA

    Bo Li

Authors
  1. Pedro Navas
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  2. Susana López-Querol
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  3. Rena C. Yu
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  4. Bo Li
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Corresponding author

Correspondence to Rena C. Yu .

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Editors and Affiliations

  1. FB 11 - Maschinenbau, Universität Siegen, Siegen, Germany

    Kerstin Weinberg

  2. Politecnico di Milano, Milano, Italy

    Anna Pandolfi

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Navas, P., López-Querol, S., Yu, R.C., Li, B. (2016). Meshfree Methods Applied to Consolidation Problems in Saturated Soils. In: Weinberg, K., Pandolfi, A. (eds) Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems. Lecture Notes in Applied and Computational Mechanics, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-319-39022-2_11

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  • DOI: https://doi.org/10.1007/978-3-319-39022-2_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39021-5

  • Online ISBN: 978-3-319-39022-2

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