A new elastic viscoplastic model for time-dependent behaviour of normally and overconsolidated clays: theory and verification

Abstract

This paper presents a new three-dimensional elastic viscoplastic (3D EVP) constitutive model for the time-dependent stress–strain behaviour of both normally consolidated and overconsolidated clays. There are two major new developments in the 3D EVP model: (i) incorporation of a nonlinear creep function with a limit for the creep volume strain under isotropic stressing conditions; (ii) adoption of a new loading surface function with a smooth shape on the π plane. Based on the "equivalent time" concept of Yin and Graham, the formulation of the new 3D EVP model is derived using the new nonlinear creep function and loading surface function. A new approach to determining all model parameters is presented. The 3D EVP model is calibrated using data from one conventional isotropic stress creep test and consolidated-undrained triaxial tests on soft Hong Kong marine deposits (HKMD). The model is verified by comparing model results with those from both normally and overconsolidated triaxial tests on HKMD and a mixture of kaolin and bentonite.Key words: creep, time-dependent, viscoplastic, equivalent time, stress–strain, constitutive model, verification, clay.