Abstract
A series of fractional plasticity models have been developed to model the stress-strain behaviour of granular soils by using modified Cam-clay yielding function. However, for granular soil, the stress-dilatancy relationship was state-dependent that was better described by the Cam-clay equation. Therefore, an attempt is made in this study to develop a Cam-clay-based fractional plasticity model where numerical solutions of the model are provided for further potential application. To validate the proposed model, a series of triaxial test results on Toyoura sand are simulated. A good agreement between the model predictions and the corresponding test results is observed.
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References
Gajo, A., Wood, D.M.: SevernTrent sand: a kinematic-hardening constitutive model: the q – p formulation. Géotechnique 49(5), 595–614 (1999)
Russell, A.R., Khalili, N.: A bounding surface plasticity model for sands exhibiting particle crushing. Can. Geotech. J. 41(6), 1179–1192 (2004)
Wan, R., Guo, P.: A simple constitutive model for granular soils: modified stress-dilatancy approach. Comput. Geotech. 22(2), 109–133 (1998)
Li, X., Dafalias, Y.: Dilatancy for cohesionless soils. Géotechnique 50(4), 449–460 (2000)
Sun, Y., Xiao, Y.: Fractional order plasticity model for granular soils subjected to monotonic triaxial compression. Int. J. Solids Struct. 118–119, 224–234 (2017)
Sun, Y., Shen, Y.: Constitutive model of granular soils using fractional order plastic flow rule. Int. J. Geomech. 17(8), 04017025 (2017)
Sun, Y., Gao, Y., Zhu, Q.: Fractional order plasticity modelling of state-dependent behaviour of granular soils without using plastic potential. Int. J. Plasticity. 102, 53–69 (2018)
Roscoe, K.H., Burland, J.B.: On the Generalised Stress-Strain Behaviour of ‘Wet’ Clay Engineering Plasticity. Cambridge University Press, Cambridge (1968)
Roscoe, K., Schofield, A., Thurairajah, A.: Yielding of clays in states wetter than critical. Géotechnique 13(3), 211–240 (1963)
Verdugo, R., Ishihara, K.: The steady state of sandy soils. Soils Found. 36(2), 81–91 (1996)
Been, K., Jefferies, M.G.: A state parameter for sands. Géotechnique 22(6), 99–112 (1985)
Sumelka, W., Nowak, M.: On a general numerical scheme for the fractional plastic flow rule. Mech. Mater. 116, 120–129 (2018)
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Sun, Y., Gao, Y. (2018). A Cam-Clay-Based Fractional Plasticity Model for Granular Soil. In: Wu, W., Yu, HS. (eds) Proceedings of China-Europe Conference on Geotechnical Engineering. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-97112-4_17
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DOI: https://doi.org/10.1007/978-3-319-97112-4_17
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