Numerical Modeling of the Influence of Water Suction on the Formation of Strain Localization in Saturated Sand

Numerical investigations of strain localization have been performed on 3D dense fully saturated sand specimens subjected to triaxial loading and simultaneous inflow or outflow conditions. The role of the water suction field on the formation and evolution of strain localization is addressed computationally. It has been shown that, in a porous medium, the fluid (water) phase plays indeed an important role in strain localization. The formation and evolution of strain localization are influenced both by the material behaviour of the solid component and the interaction between components. In this contribution, after a presentation of the incremental formulation of the coupled problem and the discretization in time, a nonlinear constitutive model is presented for the solid component. In the last part of the contribution, results are presented for the influence of water inflow or outflow on the development of strain localization in a laboratory specimen. keyword: Strain localization, constitutive modeling, soil hardening and softening, flow surfaces, porous medium, solid fluid phase interaction, water suction, cavitation.

[1]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[2]  Charbel Farhat,et al.  Partitioned analysis of coupled mechanical systems , 2001 .

[3]  L. J. Sluys,et al.  Wave propagation, localisation and dispersion in softening solids : proefschrift , 1992 .

[4]  O. Zienkiewicz,et al.  Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution , 1984 .

[5]  Jacques Desrues,et al.  Strain localization measurements in undrained plane-strain biaxial tests on Hostun RF sand , 1999 .

[6]  B. Schrefler,et al.  Cavitation modelling in saturated geomaterials with application to dynamic strain localization , 1998 .

[7]  Johan Blaauwendraad,et al.  Numerical modelling of nonlinear response of soil. Part 1: Constitutive model , 2005 .

[8]  Chandrakant S. Desai,et al.  Mechanics of Materials and Interfaces: The Disturbed State Concept , 2000 .

[9]  B A Schrefler,et al.  A UNIFIED APPROACH TO THE ANALYSIS OF SATURATED-UNSATURATED ELASTOPLASTIC POROUS MEDIA. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3 , 1988 .

[10]  Bernard Schrefler,et al.  A multiphase medium model for localisation and postlocalisation simulation in geomaterials , 1996 .

[11]  John R. Rice,et al.  On the Stability of Dilatant Hardening for Saturated Rock Masses , 1975 .

[12]  J. Prévost,et al.  Dynamic strain localization in elasto-(visco-)plastic solids, Part 1. General formulation and one-dimensional examples , 1990 .

[13]  Wolfgang Ehlers,et al.  On thermodynamics of elasto-plastic porous media , 1989 .

[14]  Johan Blaauwendraad,et al.  Numerical modelling of nonlinear response of soil. Part 2: Strain localization investigation on sand , 2005 .

[15]  Chandrakant S. Desai,et al.  A general basis for yield, failure and potential functions in plasticity , 1980 .

[16]  I. Vardoulakis Dynamic stability analysis of undrained simple shear on water‐saturated granular soils , 1986 .

[17]  A. Needleman Material rate dependence and mesh sensitivity in localization problems , 1988 .

[18]  B. Schrefler,et al.  The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media , 1998 .

[19]  J. Rudnicki Effects of dilatant hardening on the development of concentrated shear deformation in fissured rock masses , 1984 .

[20]  X. Liu Numerical Modelling of Porous Media Response Under Static and Dynamic Load Conditions , 2003 .

[21]  Bernhard A. Schrefler,et al.  Shear band localization in saturated porous media , 1995 .

[22]  Jean-Herve Prevost,et al.  Dynamic Strain Localization in Fluid‐Saturated Porous Media , 1991 .

[23]  Chandrakant S. Desai,et al.  A hierarchical approach for constitutive modelling of geologic materials , 1986 .

[24]  Bernhard A. Schrefler A partitioned solution procedure for geothermal reservoir analysis , 1985 .