Elastoplastic constitutive equation of soils with the subloading surface and the rotational hardening

The subloading surface model fulfills the mechanical requirements for constitutive equations, i.e. the continuity condition, the smoothness condition and the work rate stiffness relaxation and describes pertinently the Masing effect. The constitutive equation of soils is formulated by introducing the subloading surface model and formulating the evolutional rule of rotational hardening for the description of anisotropy. The applicability of the constitutive equation to the prediction of real soil deformation behaviour is verified by predicting monotonic and cyclic loading behaviour of sands under drained and undrained conditions and comparing them with test data. © 1998 John Wiley & Sons, Ltd.

[1]  O. C. Zienkiewicz,et al.  An anisotropic, critical state model for soils subject to cyclic loading , 1981 .

[2]  O. C. Zienkiewicz,et al.  Simple model for transient soil loading in earthquake analysis. I. Basic model and its application , 1985 .

[3]  R. Liang,et al.  Anisotropic Hardening Plasticity Model for Sands , 1991 .

[4]  Koichi Hashiguchi,et al.  On the loading criterion , 1994 .

[5]  Egor P. Popov,et al.  Cyclic loading for materials with a vanishing elastic region , 1977 .

[6]  J. Michael Rotter,et al.  Buckling of Pressurized Axisymmetrically Imperfect Cylinders under Axial Loads , 1992 .

[7]  Kenneth Runesson,et al.  A note on nonassociated plastic flow rules , 1989 .

[8]  R. D. Krieg.  A Practical Two Surface Plasticity Theory , 1975 .

[9]  S. Pietruszczak,et al.  Modelling of sand behaviour under earthquake excitation , 1987 .

[10]  Koichi Hashiguchi.  Constitutive Equations of Elastoplastic Materials With Elastic-Plastic Transition , 1980 .

[11]  Koichi Hashiguchi,et al.  Fundamental requirements and formulation of elastoplastic constitutive equations with tangential plasticity , 1993 .

[12]  S. Pietruszczak,et al.  ON YIELDING AND FLOW OF SAND; A GENERALIZED TWO-SURFACE MODEL , 1985 .

[13]  P. K. Banerjee,et al.  A plasticity model for the mechanical behaviour of anisotropically consolidated clay , 1986 .

[14]  Y. Yamada,et al.  Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method , 1968 .

[15]  Koichi Hashiguchi,et al.  On the linear relations of V–ln p and ln v–ln p for isotropic consolidation of soils , 1995 .

[16]  Peter Hartley,et al.  Use of a mean-normal technique for efficient and numerically stable large-strain elastic-plastic finite-element solutions , 1986 .

[17]  O. C. Zienkiewicz,et al.  Simple model for transient soil loading in earthquake analysis. II. Non-associative models for sands , 1985 .

[18]  T. Lehmann.  Thermodynamical foundations of large inelastic deformations of solid bodies including damage , 1991 .

[19]  Chandrakant S. Desai,et al.  Constitutive model for cyclic behavior of clays. I: Theory , 1993 .

[20]  K. Hashiguchi,et al.  Subloading surface model in unconventional plasticity , 1989 .

[21]  R. Hill.  A general theory of uniqueness and stability in elastic-plastic solids , 1958 .

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

[23]  Koichi Hashiguchi,et al.  Mechanical requirements and structures of cyclic plasticity models , 1993 .

[24]  Roger S. Crouch,et al.  Unified 3D critical state bounding-surface plasticity model for soils incorporating continuous plastic loading under cyclic paths. Part I: Constitutive relations , 1994 .

[25]  Inexpedience of the non-associated flow rule , 1991 .

[26]  Roger S. Crouch,et al.  Unified 3D critical state bounding-surface plasticity model for soils incorporating continuous plastic loading under cyclic paths. Part II: Calibration and Simulations , 1994 .

[27]  H. Hirai.  An elastoplastic constitutive model for cyclic behaviour of sands , 1987 .

[28]  Dinesh R. Katti,et al.  Modeling and Testing of Cohesive Soil Using Disturbed-State Concept , 1995 .

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

[30]  F. Tatsuoka,et al.  Undrained Deformation and Liquefaction of Sand under Cyclic Stresses , 1975 .

[31]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[32]  Koichi Hashiguchi,et al.  A generalized formulation of the concept of nonhardening region , 1995 .

[33]  Egor P. Popov,et al.  A model of nonlinearly hardening materials for complex loading , 1975 .

[34]  C. S. Desai,et al.  MODELING AND TESTING FOR ANISOTROPIC BEHAVIOR OF SOILS , 1988 .

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

[36]  Jean-Pierre Bardet,et al.  Bounding Surface Plasticity Model for Sands , 1986 .

[37]  J. Chaboche,et al.  On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed With Internal Variable Concept , 1983 .

[38]  R. D. Krieg,et al.  Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model , 1977 .

[39]  Michal Topolnicki.  AN ELASTO-PLASTIC SUBLOADING SURFACE MODEL FOR CLAY WITH ISOTROPIC AND KINEMATIC MIXED HARDENING PARAMETERS , 1990 .

[40]  V. Gocevski,et al.  ELASTO-PLASTIC MODEL FOR CEMENTED AND PURE SAND DEPOSITS , 1989 .

[41]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .