Constitutive Equations for Granular Non-Cohesive Soils

G.F. Bianchini, A.S. Saada, both of Case Western Reserve University, Cleveland.

• Preface1. Introduction, General organization of the workshop and of the proceedings, 2. On constitutive modelling, A brief revue of constitutive models, Different classes of constitutive equations and their characteristics, Simplified hypotheses on mechanical properties equally applicable to sands and clays, 3. Experiments, The development of a data base using the Case hollow cylinder apparatus, On effects of sample height in hollow cylinder tests, Development of a data base using the Grenoble true triaxial apparatus, Kinematics with or without rotation and stress rate, 4. Questionnaire, information package and test results, Response to the questionnaire, Information package; Test results, 5. Models and predictions, A cyclic elasto-plastic constitutive model for sand, CAP model for fitting the stress-strain response of Hostun and Reid Bedford sands, Prediction of deformation of Hostun and Reid Bedford sands with a simple bounding surface plasticity model, A constitutive model for granular materials based on two plasticity mechanisms, Model of sand behavior towards shearing and compression in three dimensional conditions of stress and strain, Micromechanical approach to constitutive modelling for granular soils based on slip mechanism, Use of hypoelasticity to model the behavior of sands, An incrementally non-linear constitutive relation and its predictions, Non linear incremental constitutive equation: Application to sands, Modelling the stress/strain behavior of sand using a multi-surface kinematic model, Prediction of deformation behaviors of sands by the subloading surface model, A constitutive model for sands and its application to monotonic and cyclic loadings, Elasto-plastic model for sand based on fuzzy-sets, Generalized hypoelastic constitutive equation, Double hardening constitutive model for soils, parameter determination and predictions for two sands, A joint-invariant bounding surface plasticity model for anisotropic behavior of sands A constitutive model of sands directly expressed in general coordinates for evaluating principal stress rotation and the comparison of its predicted values with the measured values, An elastic-plastic two-surface model for non-cohesive soils, Elastoplastic characterization of granular media, A multi-directional sliding model of soil deformation, A multi-surface model for non-cohesive soils, ‘Sinfonietta classical An exercise on classical soil modelling, Transitional yielding model for non-cohesive soils, Generalized plasticity model for three-dimensional sand behaviour, Internal variable model for frictional materials, Rate-independent constitutive descriptions for granular media, A simplified bounding surface plasticity model for predictions of sand behavior, Adaptation of a simple cap model, Verification of a constitutive model for granular materials, 5. Prediction number 32, Calibration, simulation and prediction of sand behavior using the bounding surface, hypoplasticity model, 6. Panel discussions, Closures.