论文标题
一个简单的沙子应力降低方程
A simple stress-dilatancy equation for sand
论文作者
论文摘要
应力 - 偏斜性关系对于沙子的本构建模至关重要。基于应力分数操作员，在本研究中分析开发了新的分数应力 - 脱丝方程。获得足够的剪切后土壤应力 - 脱毛行为的明显线性响应。随着分数阶的变化，派生的应力 - 偏线曲线和相关的相变状态应力比变化。但是，与现有的研究不同，除了分数顺序外，没有其他特定参数需要有关这种转移和状态依赖性。然后将开发的应力 - 脱柔方程纳入现有的构型模型以进行验证。在观察到良好的模型性能的情况下，模拟了不同的沙子的测试结果。
The stress-dilatancy relation is of critical importance for constitutive modelling of sand. A new fractional-order stress-dilatancy equation is analytically developed in this study, based on stress-fractional operators. An apparent linear response of the stress-dilatancy behaviour of soil after sufficient shearing is obtained. As the fractional order varies, the derived stress-dilatancy curve and the associated phase transformation state stress ratio shift. But, unlike existing researches, no other specific parameters, except the fractional order, concerning such shift and the state-dependence are required. The developed stress-dilatancy equation is then incorporated into an existing constitutive model for validation. Test results of different sands are simulated and compared, where a good model performance is observed.
