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.

摘要

为了研究土壤的塑性屈服行为，本研究开发了一种使用应力 Hausdorff 导数的新塑性框架。提出了尺度变换对土体物理行为影响的两个假说，在此基础上提供了尺度应力空间中的应力-应变关系，然后映射回普通应力空间来描述土体的非线性强度特性。作为经典塑性的替代方法，进行了两个案例研究，模拟了一系列沙子和粘土的实验结果，发现所提出的方法可以捕捉土壤的塑性屈服行为。