Abstract
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.
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The first two authors acknowledge the support by the Slovak Science and Technology Assistance Agency registered under number APVV-0014-10 and APVV-0032-10.
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Sladek, J., Sladek, V. & Schanz, M. The MLPG applied to porous materials with variable stiffness and permeability. Meccanica 49, 2359–2373 (2014). https://doi.org/10.1007/s11012-014-0004-0
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DOI: https://doi.org/10.1007/s11012-014-0004-0