Breakage-Dependent Fractional Plasticity Model for Sands
Publication: International Journal of Geomechanics
Volume 23, Issue 3
Abstract
Particle breakage could significantly influence the shear strength, volumetric deformation, stress–dilatancy relationship, and plastic-flow rule of crushable sands. A breakage-dependent fractional-plasticity (BDFP) model was proposed in this paper to capture the evolution of the stress–strain relationship for crushable sands by using a general plastic-flow rule, which is obtained from the Riemann–Liouville fractional derivative on the modified Cam-Clay yield surface and the incorporation of the breakage-dependent void-ratio–pressure state parameter in the framework of a kinetic breakage-dependent critical state line. The BDFP model can well predict the state- and breakage-dependent strength and deformation of crushable sands. Specifically under higher confining pressures, the prediction for the evolution of the volumetric strain of crushable sands by the BDFP model is much better than that by the model not considering particle breakage.
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Acknowledgments
The authors acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 51922024, 52078085, and 41831282) and Chongqing Talents Program (Grant No. cstc2021ycjh-bgzxm0051).
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Published In
International Journal of Geomechanics
Volume 23 • Issue 3 • March 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jun 24, 2022
Accepted: Sep 6, 2022
Published online: Dec 20, 2022
Published in print: Mar 1, 2023
Discussion open until: May 20, 2023
ASCE Technical Topics:
- Continuum mechanics
- Deformation (mechanics)
- Engineering materials (by type)
- Engineering mechanics
- Geomechanics
- Geotechnical engineering
- Material mechanics
- Material properties
- Materials engineering
- Particles
- Plasticity
- Plastics
- Sandy soils
- Shear strength
- Soil deformation
- Soil mechanics
- Soil properties
- Soil strength
- Soil stress
- Soils (by type)
- Solid mechanics
- Strength of materials
- Structural mechanics
- Synthetic materials
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Cited by
- Yang Xiao, Qingyun Fang, Armin W. Stuedlein, T. Matthew Evans, Effect of Particle Morphology on Strength of Glass Sands, International Journal of Geomechanics, 10.1061/IJGNAI.GMENG-8661, 23, 8, (2023).