Premium
Numerical Assessment of Stabilization Techniques for Coupled Poro‐plastic Analysis using Low‐Order Finite Elements
Author(s) -
Khisamitov Ildar,
Alsahly Abdullah,
Meschke Günther
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410239
Subject(s) - spurious relationship , compressibility , nonlinear system , soil water , pore water pressure , interpolation (computer graphics) , work (physics) , mathematics , coupling (piping) , numerical analysis , soil mechanics , mechanics , geotechnical engineering , mathematical analysis , geology , materials science , physics , thermodynamics , classical mechanics , soil science , quantum mechanics , metallurgy , motion (physics) , statistics
For the numerical modeling of geomaterials in general, and soft, water saturated soils in particular, the nonlinear constitutive behavior of the skeleton and its strong coupling with the pore fluid must be considered. In the limit of zero compressibility of water and soil grains and very low permeability (which correspond to the classical “undrained” assumption in soil mechanics), the functions used to interpolate displacements and pressures must fulfill either the Ladyženskaja‐Babuška‐Brezzi inf‐sup condition [1] or the much simpler patch test proposed by Zienkiewicz and Taylor. These requirements exclude the use of elements with equal order of linear interpolation for pressures and displacements, for which spurious oscillations may appear. Low‐order elements with linear approximation of displacements and pressure variables may be used if stabilization techniques are employed. The work is concerned with the numerical assessment and investigation of several stabilization techniques and their application to strain localization problems in coupled poro‐plastic analyses of soft, saturated soils [2,3]. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)