Capturing strain localization behind a geosynthetic‐reinforced soil wall

This paper presents the results of finite element (FE) analyses of shear strain localization that occurred in cohesionless soils supported by a geosynthetic-reinforced retaining wall. The innovative aspects of the analyses include capturing of the localized deformation and the accompanying collapse mechanism using a recently developed embedded strong discontinuity model. The case study analysed, reported in previous publications, consists of a 3.5-m tall, full-scale reinforced wall model deforming in plane strain and loaded by surcharge at the surface to failure. Results of the analysis suggest strain localization developing from the toe of the wall and propagating upward to the ground surface, forming a curved failure surface. This is in agreement with a well-documented failure mechanism experienced by the physical wall model showing internal failure surfaces developing behind the wall as a result of the surface loading. Important features of the analyses include mesh sensitivity studies and a comparison of the localization properties predicted by different pre-localization constitutive models, including a family of three-invariant elastoplastic constitutive models appropriate for frictional/dilatant materials. Results of the analysis demonstrate the potential of the enhanced FE method for capturing a collapse mechanism characterized by the presence of a failure, or slip, surface through earthen materials. Copyright © 2003 John Wiley & Sons, Ltd.

[1]  J. Rice,et al.  CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS , 1975 .

[2]  J. C. Simo,et al.  An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids , 1993 .

[3]  Hans Muhlhaus,et al.  Continuum models for materials with microstructure , 1995 .

[4]  Z. Bažant,et al.  Nonlocal Continuum Damage, Localization Instability and Convergence , 1988 .

[5]  Richard J. Bathurst,et al.  Failure of a geogrid-reinforced soil wall , 1990 .

[6]  Radoslaw L. Michalowski PLASTICITY-BASED ANALYSIS OF REINFORCED SOIL STRUCTURES , 2000 .

[7]  M. Ortiz,et al.  A finite element method for localized failure analysis , 1987 .

[8]  Richard A. Regueiro,et al.  FE Modeling of Strain Localization in Soft Rock , 2000 .

[9]  Roberto Nova,et al.  A Generalized Backward Euler algorithm for the numerical integration of an isotropic hardening elastoplastic model for mechanical and chemical degradation of bonded geomaterials , 2002 .

[10]  Ronaldo I. Borja,et al.  Cam-Clay plasticity part III: Extension of the infinitesimal model to include finite strains , 1998 .

[11]  Ronaldo I. Borja,et al.  Cam-Clay plasticity, Part IV : Implicit integration of anisotropic bounding surface model with nonlinear hyperelasticity and ellipsoidal loading function , 2001 .

[12]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[13]  L. J. Sluys,et al.  Computational issues in gradient plasticity , 1995 .

[14]  Ronaldo I. Borja,et al.  A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation , 2000 .

[15]  Dov Leshchinsky Discussion of "Performance of Geosynthetic Reinforced Slopes at Failure" , 2000 .

[16]  Ronaldo I. Borja,et al.  Bifurcation of elastoplastic solids to shear band mode at finite strain , 2001 .

[17]  R. Bathurst,et al.  Behaviour of geosynthetic reinforced soil retaining walls using the finite element method , 1995 .

[18]  J. M. Duncan,et al.  Elastoplastic Stress-Strain Theory for Cohesionless Soil , 1975 .

[19]  Kenneth Runesson,et al.  Prediction of Plastic Localization Using MRS‐Lade Model , 1993 .

[20]  Richard J. Bathurst,et al.  Bathurst, R.J. and Koerner, R.M., Results of Class A Predictions for the RMC Reinforced Soil Wall Trials, The Application of Polymeric Reinforcement in Soil Retaining Structures, NATO Advanced Study Institutes Series, Kluwer Academic Publishers, , 1988 .

[21]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[22]  Kenneth Runesson,et al.  Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain , 1991 .

[23]  James K. Mitchell,et al.  Limit equilibrium as basis for design of geosynthetic reinforced slopes , 2000 .

[24]  Ronaldo I. Borja,et al.  On the numerical integration of three-invariant elastoplastic constitutive models , 2003 .

[25]  Richard A. Regueiro,et al.  A finite element model of localized deformation in frictional materials taking a strong discontinuity approach , 1999 .

[26]  Ronaldo I. Borja,et al.  Finite element simulation of strain localization with large deformation: capturing strong discontinuity using a Petrov–Galerkin multiscale formulation , 2002 .

[27]  O. C. Zienkiewicz,et al.  Softening, localisation and adaptive remeshing. Capture of discontinuous solutions , 1995 .

[28]  Richard A. Regueiro,et al.  Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity , 2001 .

[29]  J. Z. Zhu,et al.  The finite element method , 1977 .

[30]  R. Borst,et al.  Non-Associated Plasticity for Soils, Concrete and Rock , 1984 .

[31]  Atsushi Yashima,et al.  Instability of gradient-dependent elastoviscoplastic model for clay and strain localization analysis , 2000 .

[32]  Kenneth Runesson,et al.  Discontinuous Displacement Approximation for Capturing Plastic Localization , 1993 .

[33]  James K. Mitchell,et al.  Performance of Geosynthetic Reinforced Slopes at Failure , 2000 .

[34]  Richard J. Bathurst,et al.  Results of Class a Predictions for the RMC Reinforced Soil Wall Trials , 1988 .

[35]  R. Ogden Non-Linear Elastic Deformations , 1984 .

[36]  F Montanelli,et al.  INSTRUMENTED REINFORCED WALL: MEASUREMENTS AND FEM RESULTS , 2000 .

[37]  Richard J. Bathurst,et al.  Laboratory Investigation of Two Large-Scale Geogrid Reinforced Soil Walls , 1988 .

[38]  Richard A. Regueiro,et al.  Strain localization in frictional materials exhibiting displacement jumps , 2001 .

[39]  Richard L. Meehan,et al.  California Housing Damage Related to Expansive Soils , 1994 .

[40]  D Leshchinsky,et al.  PERFORMANCE OF GEOSYNTHETIC REINFORCED SLOPES AT FAILURE. DISCUSSIONS AND CLOSURE , 2000 .

[41]  B. B. Broms,et al.  FAILURE MODES AT MODEL TESTS OF A GEOTEXTILE REINFORCED WALL , 1994 .

[42]  Kenneth Runesson,et al.  Evaluation of Plastic Bifurcation for Plane Strain versus Axisymmetry , 1992 .

[43]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[44]  James K. Mitchell,et al.  Finite Element Modeling of Reinforced Soil Walls and Embankments , 1990 .

[45]  Ronaldo I. Borja,et al.  Propagation of Localization Instability Under Active and Passive Loading , 2002 .

[46]  J. R. F. Arthur,et al.  Plastic deformation and failure in granular media , 1977 .

[47]  Richard Wan,et al.  A finite element method for the analysis of shear bands in geomaterials , 1990 .

[48]  元 松岡,et al.  “Stress-Deformation and Strength Characteristics of Soil under Three Different Principal Stresses” への討議 , 1976 .

[49]  Dave T. T. Chang,et al.  Laboratory Study and Numerical Analsis for Pull-out Behaviors of Geogrids Confined by Weathered Mudstone and Sandy soil , 1996 .

[50]  T. Adachi,et al.  A finite element analysis of strain localization for soft rock using a constitutive equation with strain softening , 1991, Archive of Applied Mechanics.

[51]  H. Dines ‘Soil’ Mechanics , 1944, Nature.

[52]  Richard J. Bathurst,et al.  Full Scale Testing of Geosynthetic Reinforced Walls , 2000 .