Critical-State Fractional Model and Its Numerical Scheme for Isotropic Granular Soil Considering State Dependence
Publication: International Journal of Geomechanics
Volume 19, Issue 3
Abstract
Many elastoplastic models have been proposed to model the stress–strain behavior of granular soils. However, due to the dependence of stress-dilatancy on the material state, different model parameters are often needed to model the constitutive behavior of granular soils under different initial states. In this study, an attempt is made to develop a state-dependent fractional plasticity model by using the fractional-order Cambridge stress-dilatancy equation, in which detailed numerical approximations of the model are provided for further potential application. To validate the proposed model as well as the numerical solution, a series of triaxial test results on a number of different granular soils, including rockfill, sand, and ballast, is simulated. A good agreement between the model predictions and the corresponding test results is observed.
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Acknowledgments
The financial support provided by the National Natural Science Foundation of China (Grant 41630638), the National Key Basic Research Program of China (“973” Program) (Grant 2015CB057901), the Fundamental Research Funds for the Central Universities (Grants 2017B05214 and 2015B25914), and the Project funded by China Postdoctoral Science Foundation (Grant 2017M621607) are appreciated.
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Published In
International Journal of Geomechanics
Volume 19 • Issue 3 • March 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Oct 31, 2017
Accepted: Aug 30, 2018
Published online: Jan 2, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 2, 2019
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