Constitutive Modeling of Anisotropic Sand Behavior in Monotonic and Cyclic Loading
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 141, Issue 8
Abstract
An anisotropic plasticity model is proposed to describe the fabric effect on sand behavior under both monotonic and cyclic loading conditions within the framework of anisotropic critical state theory. The model employs a cone-shaped bounding surface in the deviatoric stress space and a yield cap perpendicular to the mean stress axis to describe sand behavior in constant mean stress shear and constant stress ratio compression, respectively. The model considers a fabric tensor characterizing the internal structure of sand associated with the void space system and its evolution with plastic deformation. The fabric evolution law is assumed to render the fabric tensor to become codirectional with the loading direction tensor and to reach a constant magnitude of unit at the critical state. In constant stress ratio compression, the final degree of anisotropy is proportional to a normalized stress ratio. An anisotropic variable defined by a joint invariant of the fabric tensor and loading direction tensor is employed to describe the fabric effect on sand behavior in constant mean stress monotonic and cyclic shear. A systematic calibrating procedure of the model parameters is presented. Satisfactory comparison is found between the model simulations and test results on Toyoura sand in both monotonic and cyclic loadings with a single set of parameters. The important role of fabric and fabric evolution in capturing the sand behavior is highlighted. Limitations and potential improvement of the model in describing cyclic mobility of very dense sand and sand behavior in nonproportional loading have been discussed.
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Acknowledgments
The work was partly supported by Research Grants Council of Hong Kong (under RGC/GRF 623211). The authors would like to thank Dr. Takashi Kiyota of University of Tokyo, Dr. Gabriele Chiaro of University of Wollongong, and Dr. Jun Yang of Hong Kong University for sharing their cyclic test results on Toyoura sand. The constructive comments of the anonymous reviewers are also acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 8 • August 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Apr 16, 2014
Accepted: Nov 21, 2014
Published online: Apr 23, 2015
Published in print: Aug 1, 2015
Discussion open until: Sep 23, 2015
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