A Variable-Order Dynamic Constitutive Model for Clay Based on the Fractional Calculus

To accurately describe the deformation characteristics of clay under long-term cyclic load, based on fractional calculus theory, elastoplastic theory and basic element model, a variable-order dynamic model designed to predict accumulative strain was exhibited. Firstly, load separated into static alternating in accordance with characteristics, analyzed. Then, basis Abel dashpot rheological expressions constitutive response were both obtained. Finally, combination undrained triaxial testing Zhan Jiang Tian Jin soft clay, series analyses carried out effectiveness parameter sensitivity when subjected loading. By comparing pre-existing models, superiority is revealed. The results show that can characterize properly action loading, especially its accelerating stage. exhibits growing trend increment loading duration.