A Simple Constitutive Model for the Seismic Analysis of Slopes and its Applications

ABSTRACT Several constitutive models of varying complexity have been proposed for use in estimating the seismic response of slopes. The main purpose of this study is to propose and demonstrate a new 3-D simple cyclic loading model that can be applied to slope design. Both the G —γ, h — γ relationships and the shear strength parameters c and 0 can be appropriately accommodated by the model. This is useful because while the G — γ and h — γ relationships of soil have been frequently used for the prediction of seismic response, c and ϕ are more commonly used in conventional calculations of slope stability based on global factors of safety. Incorporating both parameterizations in a seismic design strategy is therefore likely to prove beneficial. In the first half of the paper, the motivation behind a new model and its theoretical derivation are outlined. Several applications of the model to commonly encountered slope design problems are addressed in the second half. It is shown that the proposed model is very effective in simulating the non-linear dynamic behavior of slopes during strong earthquake.

[1]  Fumio Tatsuoka,et al.  EXPERIMENTAL STRESS-DILATANCY RELATIONS OF SAND SUBJECTED TO CYCLIC LOADING , 1989 .

[2]  P. C. Jennings.  Periodic Response of a General Yielding Structure , 1964 .

[3]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[4]  P. Tong,et al.  Plane Strain Deformation of Granular Material at Low and High Pressures , 1969 .

[5]  Braja M. Das.  Fundamentals of Soil Dynamics , 1983 .

[6]  V. Drnevich,et al.  SHEAR MODULUS AND DAMPING IN SOILS: DESIGN EQUATIONS AND CURVES , 1972 .

[7]  R. Pyke,et al.  NONLINEAR SOIL MODELS FOR IRREGULAR CYCLIC LOADINGS , 1979 .

[8]  M. Manassero.  Stress-strain relationships from drained self-boring pressuremeter tests in sands , 1989 .

[9]  F. Tatsuoka,et al.  ON STRESS-DILATANCY EQUATIONS OF SAND SUBJECTED TO CYCLIC LOADING , 1989 .

[10]  I. Towhata,et al.  Modelling soil behavior under principal stress axes rotation , 1985 .

[11]  R. Lewis,et al.  Associated and non-associated visco-plasticity and plasticity in soil mechanics , 1975 .

[12]  F. Tatsuoka,et al.  Deformation characteristics of soils and rocks from field and laboratory tests, Keynote Lecture , 1992 .

[13]  Makoto Sakamoto,et al.  STRENGTH AND DEFORMATION CHARACTERISTICS OF SAND IN PLANE STRAIN COMPRESSION AT EXTREMELY LOW PRESSURES , 1986 .

[14]  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.