Abstract
A constitutive model for soils subjected to monotonic and cyclic loading under general stress conditions is presented which has neither an elastic domain nor a yield condition. Two formulations are built in the model according to the sign (plus or minus) of the linear combination of the first and second invariants of the viscoplastic strain rate tensor. In each formulation, a new stress-ratio parameter η# is introduced, and the linear combination of these accumulated strain invariants is related to a function of effective stresses and time. Constitutive relations are derived by using the concept of potential theory, with the help of an elasto-viscoplastic model called the Sekiguchi-Ohta model. The model presented here agrees with the Sekiguchi-Ohta model in a special case, and with the original Cam clay model in a more special case. The model can describe anisotropic responses due to initial stress anisotropy, initial structural anisotropy and loading reversal, rate effect, phase transformation, etc. The results of the simulations for several typical triaxial tests qualitatively indicate the applicability of the model to a wide extent of loading conditions.
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