The MLPG Applied to Porous Materials with Variable Stiffness and Permeability

Jan Sladek, Vladimir Sladek, Martin Schanz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Two-dimensional (2-d) and axisymmetric consolidation problems are treated with a meshless local Petrov–Galerkin approach. The porous continuum is modeled with Biot’s theory, where the solid displacements and the pore pressure are chosen as unknowns (u-p-formulation). These unknowns are approximated with independent spatial discretizations using the moving least-squares scheme. The method is validated by a comparison with an 1-d analytical solution. Studies with graded material data show that a variable permeability has a strong influence on the consolidation process. The example of a disturbed zone around a borehole shows as well the importance of graded material data.
Original languageEnglish
Pages (from-to)2359-2373
Issue number10
Publication statusPublished - 2014

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)


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