A simple plasticity theory for frictional cohesionless soils

Abstract A simple elastic-plastic constitutive model for cohesionless soils is proposed. The model retains the extreme versatility and accuracy of the simple multi-surface J 2 -theory in describing observed shear nonlinear hysteretic behaviour, shear stress-induced anisotropy; and reflects the strong dilatancy dependency on the effective stress ratio. The theory is applicable to general three-dimensional stress-strain conditions, but its parameters can be derived entirely from the results of conventional laboratory soil tests. A number of examples are presented including an analysis of seismically induced liquefaction behind a retaining structure.

[1]  Jean H. Prevost,et al.  Constitutive Equations for Soil Media , 1982 .

[2]  Zenon Mróz,et al.  A constitutive model for sand with anisotropic hardening rule , 1983 .

[3]  M P Luong,et al.  PHENOMENES CYCLIQUES DANS LES SOLS PULVERULENTS , 1980 .

[4]  Jean H. Prevost Two‐surface versus multi‐surface plasticity theories: A critical assessment , 1982 .

[5]  William Prager,et al.  The Theory of Plasticity: A Survey of Recent Achievements , 1955 .

[6]  P. W. Rowe The stress-dilatancy relation for static equilibrium of an assembly of particles in contact , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  R. Hill The mathematical theory of plasticity , 1950 .

[8]  Jean H. Prevost,et al.  MATHEMATICAL MODELLING OF MONOTONIC AND CYCLIC UNDRAINED CLAY BEHAVIOUR , 1977 .

[9]  Sia Nemat-Nasser,et al.  On finite plastic flows of compressible materials with internal friction , 1980 .

[10]  Jean H. Prevost,et al.  PLASTICITY THEORY FOR SOIL STRESS-STRAIN BEHAVIOR , 1978 .

[11]  George Y. Baladi,et al.  Elastic-Plastic Model for Saturated Sand , 1979 .

[12]  J. M. Duncan,et al.  Nonlinear Analysis of Stress and Strain in Soils , 1970 .

[13]  J. Prévost Nonlinear transient phenomena in saturated porous media , 1982 .

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

[15]  D. C. Drucker,et al.  Soil Mechanics and Work-Hardening Theories of Plasticity , 1955 .

[16]  Zenon Mróz,et al.  On the description of anisotropic workhardening , 1967 .

[17]  Jean H. Prevost,et al.  ANISOTROPIC UNDRAINED STRESS-STRAIN BEHAVIOR OF CLAYS , 1978 .

[18]  Max D. Coon,et al.  Recoverable Deformation of Cohesionless Soils , 1971 .