Investigation of foundations behavior by implementation of a developed constitutive soil model in the ZEL method

Foundations behavior is affected by soil behavior which can vary from dilative to contractive depending on the stress level, particularly in dense frictional soils. The Zero Extension Lines (ZEL) method has been generally developed to predict the foundations behavior. Knowledge of soil behavior enables the ZEL method to predict the general and local shear failure modes. In this paper, a relatively simple work hardening/softening soil constitutive model is developed to represent dense frictional soils behavior under different stress levels. This model is based on the accumulation of the plastic work during a simple direct shear test and its relationship to stress ratio to establish the hardening law. Verifications have been made for the developed soil model. The model is then implemented into the ZEL method to theoretically investigate the bearing capacity and load-displacement behavior of foundations over dense frictional soils. Utilization of this model enables the ZEL method to capture different modes of failure depending on the foundation size. A numerical study on foundations behavior was performed showing the ability of the presented approach in capturing both failure modes.

[1]  Kenichi Maeda,et al.  CONFINING STRESS DEPENDENCY OF MECHANICAL PROPERTIES OF SANDS , 1999 .

[2]  A. Ghahramani,et al.  Prediction of foundations behavior by a stress level based hyperbolic soil model and the ZEL method , 2010 .

[3]  Ali Ghorbani,et al.  Small-Scale Model Test and Three-Dimensional Analysis of Pile-Raft Foundation on Medium-Dense Sand , 2009 .

[4]  S A Anvar,et al.  EQUILIBRIUM EQUATIONS, ON ZERO EXTENSION LINES AND THEIR APPLICATION TO SOIL ENGINEERING , 1997 .

[5]  M. Jahanandish,et al.  Application of the ZEL method in the prediction of foundation bearing capacity considering the stress level effect , 2010 .

[6]  Itai Einav,et al.  Numerical Study of the Effect of Foundation Size for a Wide Range of Sands , 2009 .

[7]  S. A. Sadrnezhad,et al.  A Simple Unconventional Plasticity Model Within the Multilaminate Framework , 2010 .

[8]  Radoslaw L. Michalowski,et al.  AN ESTIMATE OF THE INFLUENCE OF SOIL WEIGHT ON BEARING CAPACITY USING LIMIT ANALYSIS , 1997 .

[9]  Scott W. Sloan,et al.  Bearing capacity of a cohesive-frictional soil under non-eccentric inclined loading , 2004 .

[10]  Jyant Kumar,et al.  Effect of Footing Width on Bearing Capacity Factor Nγ for Smooth Strip Footings , 2008 .

[11]  Load-displacement characteristics of retaining walls Les caract6ristiques de charge et deplacement des murs de soutenement , 2005 .

[12]  Mukesh Gupta,et al.  Settlement of Shallow Foundations on Sand , 1994 .

[13]  M. Jahanandish,et al.  ZERO EXTENSION LINE METHOD FOR THREE-DIMENSIONAL STABILITY ANALYSIS IN SOIL ENGINEERING , 2010 .

[14]  M. Bolton THE STRENGTH AND DILATANCY OF SANDS , 1986 .

[15]  Scott W. Sloan,et al.  Numerical limit analysis solutions for the bearing capacity factor Nγ , 2005 .

[16]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[17]  Malcolm D. Bolton,et al.  Vertical bearing capacity factors for circular and strip footings on Mohr–Coulomb soil , 1993 .

[18]  Andrew J. Whittle,et al.  Compression model for cohesionless soils , 1995 .

[19]  Jyant Kumar,et al.  Nγ for rough strip footing using the method of characteristics , 2003 .

[20]  K. Roscoe THE INFLUENCE OF STRAINS IN SOIL MECHANICS , 1970 .

[21]  M. Jahanandish,et al.  Prediction of the bearing capacity and load-displacement behavior of shallow foundations by the stress-level-based ZEL method , 2011 .

[22]  Ryan Phillips,et al.  Scale Effect of Strip and Circular Footings Resting on Dense Sand , 2001 .

[23]  M. Jahanandish DEVELOPMENT OF A ZERO EXTENSION LINE METHOD FOR AXIALLY SYMMETRIC PROBLEMS IN SOIL MECHANICS , 2003 .

[24]  George Geoffrey Meyerhof,et al.  Some recent research on the bearing capacity of foundations , 1963 .

[25]  M. Budhu Soil Mechanics and Foundations , 2000 .

[26]  Minconsult Sdn. Bhcl,et al.  Determination of the shear strength parameters of an unsaturated soil using the direct shear test , 2006 .

[27]  N. Krebs Ovesen,et al.  Centrifugal testing applied to bearing capacity problems of footings on sand , 1975 .

[28]  P. L. Bransby,et al.  A Velocity Field for Some Passive Earth Pressure Problems , 1971 .

[29]  Amy B. Cerato,et al.  Bearing Capacity of Square and Circular Footings on a Finite Layer of Granular Soil Underlain by a Rigid Base , 2006 .

[30]  Arsalan Ghahramani,et al.  Zero Extension Line Theory of Earth Pressure , 1979 .

[31]  Nobutaka Yamamoto Numerical analysis of shallow circular foundations on sands , 2006 .

[32]  Hai‐Sui Yu,et al.  Plasticity and geotechnics , 2006 .

[33]  K. Terzaghi Theoretical Soil Mechanics , 1943 .

[34]  Jack I. Clark The settlement and bearing capacity of very large foundations on strong soils: 1996 R.M. Hardy keynote address , 1998 .

[35]  H B Poorooshasb,et al.  Yielding and Flow of Sand in Triaxial Compression: Part I , 1966 .

[36]  Jyant Kumar,et al.  Bearing capacity factor Nγ for ring footings using the method of characteristics , 2005 .

[37]  Andrew J. Whittle,et al.  Evaluation of a constitutive model for clays and sands: Part I – sand behaviour , 2002 .

[38]  H B Poorooshasb,et al.  Yielding and Flow of Sand in Triaxial Compression: Parts II and III , 1967 .

[39]  Joseph E. Bowles,et al.  Foundation analysis and design , 1968 .

[40]  Kenneth L. Lee,et al.  Drained Strength Characteristics of Sands , 1967 .

[41]  Bengt H. Fellenius,et al.  Stress and Settlement of Footings in Sand , 1994 .

[42]  Aleksandar S. Vesic,et al.  Analysis of Ultimate Loads of Shallow Foundations , 1973 .

[43]  Amir Hamidi,et al.  Effect of Particle Crushing on Shear Strength and Dilation Characteristics of Sand-Gravel Mixtures , 2009 .

[44]  B. Fellenius Bearing Capacity of Footings and Piles—A Delusion? , 2003 .

[45]  J. Atkinson,et al.  The Mechanics of Soils and Foundations , 2007 .

[46]  J. Zornberg,et al.  Isotropic work softening model for frictional geomaterials : development based on lade and kim constitutive soil model. , 2008 .

[47]  Harianto Rahardjo,et al.  DETERMINATION OF THE SHEAR STRENGTH PARAMETERS OF AN UNSATURATED SOIL USING THE DIRECT SHEAR TEST , 1988 .

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

[49]  Guangxin Li,et al.  Elasto-plastic constitutive model for geotechnical materials with strain-softening behaviour , 2008, Comput. Geosci..

[50]  Bolton,et al.  Scale effects in the bearing capacity of granular soils , 1989 .

[51]  D. Wood Soil Behaviour and Critical State Soil Mechanics , 1991 .

[52]  Alan J. Lutenegger,et al.  Scale effects of shallow foundation bearing capacity on granular material , 2007 .

[53]  R. Nova,et al.  A constitutive model for sand in triaxial compression , 1979 .

[54]  J. Brinch Hansen AKADEMIET FOR DE TEKNISKE VIDENSKABER , 2008 .

[55]  Samuel P. Clemence,et al.  Zero-extension line theory of dynamic passive pressure : J Geotech Engng Div ASCE, V106, NGT6, June 1980, P631–644 , 1980 .

[56]  M. Jahanandish,et al.  Effect of stress level on the bearing capacity factor, Nγ, by the ZEL method , 2010 .