Three-Dimensional State-Dependent Fractional Plasticity Model for Soils
Publication: International Journal of Geomechanics
Volume 20, Issue 2
Abstract
To capture the nonassociated state-dependent constitutive behavior of soils subjected to different initial densities and pressures, a novel approach, the fractional-order () plasticity, was developed, which extends the previous plasticity model for more general loading conditions by using the transformed stress method. The developed model was found to have the following key features: (1) state dependence of the three-dimensional (3D) stress-dilatancy relationship was simulated without using empirical state parameters; (2) 3D nonassociated plastic flow rule was captured without using additional plastic potentials; and (3) state-dependent plastic hardening and softening was characterized without using state parameters and plastic potentials. To validate the extended 3D model, a series of laboratory test results of different soils, for example, rockfill, sand, and clay, under different loading paths were simulated, where a good agreement between the model predictions and the corresponding test results can be found.
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Acknowledgments
The financial support provided by the National Natural Science Foundation of China (Grant Nos. 41630638 and 51679068), the National Key Basic Research Program of China (973 Program) (Grant No. 2015CB057901), the Fundamental Research Funds for the Central Universities (Grant No. 2017B05214), and the China Postdoctoral Science Foundation (Grant No. 2017M621607) are appreciated.
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Published In
International Journal of Geomechanics
Volume 20 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Oct 9, 2018
Accepted: Jun 12, 2019
Published online: Dec 5, 2019
Published in print: Feb 1, 2020
Discussion open until: May 5, 2020
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