Generalized Plasticity Modelling of Saturated Sand Behaviour under Earthquake Loading

Modelling of soil behaviour has progressed very much during the past years. This paper addresses the problem of reproducing the response of saturated sands under dynamic loading such as caused by earthquakes, within the framework of Generalized Plasticity Theory, a Summary of which is provided in the first part of the paper.

[1]  E. Hinton,et al.  Non-linear seismic response and liquefaction , 1978 .

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

[3]  G. N. Pande,et al.  Multi-laminate framework of soil models—plasticity formulation , 1987 .

[4]  Chandrakant S. Desai,et al.  Induced anisotropy during plastic straining , 1984 .

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

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

[7]  M. Pastor Modelling of anisotropic sand behaviour , 1991 .

[8]  Yannis F. Dafalias,et al.  Bounding Surface Plasticity. III: Application to Anisotropic Cohesive Soils , 1986 .

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

[10]  M. Pastor,et al.  Static and dynamic behaviour of soils : a rational approach to quantitative solutions. I. Fully saturated problems , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

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

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

[13]  O. C. Zienkiewicz,et al.  Coupled problems—A simple time‐stepping procedure , 1985 .

[14]  Félix Darve,et al.  INCREMENTAL CONSTITUTIVE LAW FOR SANDS AND CLAYS: SIMULATIONS OF MONOTONIC AND CYCLIC TESTS , 1982 .

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

[16]  G. N. Pande,et al.  Multi‐laminate model of clays—a numerical evaluation of the influence of rotation of the principal stress axes , 1983 .

[17]  Yasuo Yamada,et al.  Undrained Deformation Characteristics of Loose Sand Under Three-Dimensional Stress Conditions , 1981 .

[18]  R. J. Crawford,et al.  Mechanics of engineering materials , 1986 .

[19]  O. C. Zienkiewicz,et al.  Transformation of incremental plasticity relation from defining space to general Cartesian stress space , 1988 .

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

[21]  Hajime Matsuoka,et al.  STRESS-STRAIN RELATIONSHIPS OF SANDS BASED ON THE MOBILIZED PLANE , 1974 .

[22]  O. C. Zienkiewicz,et al.  DRAINED, UNDRAINED, CONSOLIDATING AND DYNAMIC BEHAVIOUR ASSUMPTIONS IN SOILS , 1980 .

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

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