Advantages and limitations of an α-plasticity model for sand
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2020
scientific article
english
- fractional derivative
- liquefaction
- plasticity
- sand
- state-dependent dilatancy
EN The stress–strain response of sand was observed to depend on its material state, i.e., pressure and density. Successful modelling of such state-dependent response of sand relied on the correct representation of its state-dependent stress–dilatancy behaviour. In this study, an improved fractional-order (α) plasticity model for sands with a wide range of initial void ratios and pressures is proposed, based on a state-dependent fractional-order plastic flow rule and a modified yielding surface. Potential positive performances and negative limitations of the proposed approach in terms of the critical state of sand are discussed, based on the simulations of a series of drained and undrained triaxial tests of different sands. It can be found that unlike previous fractional models, the developed model can reasonably simulate the key features, e.g., strain softening/hardening, volumetric dilation/contraction, liquefaction, quasi-steady-state flow as well as steady-state flow, of sand for a wide range of initial states. However, due to typical forms of the critical-state lines being used, negative performances of the fractional approach could occur when simulating the undrained behaviour of very loose sand and the drained behaviour of very dense sand.
13.10.2019
1423 - 1437
140
140
5,856