Constitutive Model of Granular Soils Using Fractional-Order Plastic-Flow Rule
Publication: International Journal of Geomechanics
Volume 17, Issue 8
Abstract
Traditional plasticity models of granular soils are usually established on different loading and plastic potential surfaces. This paper presents a nonassociated bounding-surface model by incorporating a fractional-order plastic-flow rule that is obtained by performing fractional-order derivatives on the bounding surface. It is found that the flow direction no longer necessarily coincides with the loading direction, even if the same potential and loading surfaces are used. The flexible ability of the model is then validated by simulating a series of experimental results of different granular soils, including ballast, rockfill, and sand, under both drained and undrained loading conditions. It is observed that the proposed model can well capture the key features (e.g., stress dilation, strain hardening/softening, and liquefaction) of various granular soils.
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Acknowledgments
The authors thank Wen Chen in the Department of Engineering Mechanics, Hohai University, for invaluable instruction on fractional calculus. The financial supports provided by the National Natural Science Foundation of China (Grant 51479060) and Fundamental Research Funds for the Central Universities (Grant 2015B17114) are also appreciated.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 8 • August 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Jun 16, 2016
Accepted: Dec 16, 2016
Published online: Feb 22, 2017
Discussion open until: Jul 22, 2017
Published in print: Aug 1, 2017
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