Simplified Elastoplastic Modelling of Granular Soils Based on Left-Sided Fractional Derivative

摘要

A simplified fractional-order elasto-plasticity model is proposed by using the concept of fractional-order plastic flow. Fractional differentiation on the modified Cam-clay surface is performed to determine the plastic flow direction. Unlike the classical model, the obtained flow direction changes with the fractional order, which makes the model capable of simulating various kinds of material deformation without changing the details of the yielding function. The proposed model is further validated by simulating multiple series of experimental results of different granular soils subjected to drained and undrained loading conditions.