A simple stress-dilatancy equation for sand

Yifei Sun

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arXiv · 2006.06638

A simple stress-dilatancy equation for sand

Yifei Sun

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Abstract

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.

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Yifei Sun. 2020-06-11. A simple stress-dilatancy equation for sand. https://arxiv.org/abs/2006.06638

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