Plastic yielding of soils based on stress Hausdorff derivative

Abstract

To investigate the plastic yielding behaviour of soil, a new plasticity framework using stress Hausdorff derivative was developed in this study. Two hypotheses concerning the effect of scale transform on physical behaviours of soil were proposed, based on which the stress–strain relations in the scaled stress space were provided, and then mapped back to the ordinary stress space for describing the nonlinear strength characteristics of soil. As an alternative approach to the classic plasticity, two case studies on simulating a series of experimental results of sand and clay were made, where it was found that the proposed approach can capture the plastic yielding behaviour of soils.