Bounding Surface Plasticity Model Incorporating the State Pressure Index for Rockfill Materials
Publication: Journal of Engineering Mechanics
Volume 140, Issue 11
Abstract
The critical state line of Tacheng rockfill material (TRM) was described by a pressure-power function. A simple bounding-surface plasticity model, combining the dilatancy stress ratio and peak-failure stress ratio pertaining to the state pressure index, was developed for TRM within the framework of critical-state soil mechanics and the bounding surface plasticity. Detailed investigations of influences of design parameters on the model predictions were carried out. The developed model, using a set of model constants, captured well behaviors such as strain hardening and volumetric contraction for TRM in a loose state (e.g., at a large initial void ratio or a high initial confining pressure) and strain softening and volumetric expansion in a dense state (e.g., at a small initial void ratio or a low initial confining pressure).
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors acknowledge the financial support of the 111 Project (Grant B13024), the Program for Changjiang Scholars and Innovative Research Team in University (Grant IRT1125), the Project supported by the National Natural Science Foundation of China (Grant 51379067), and the Fundamental Research Funds for the Central Universities (Grant 2011B14514).
References
Bandini, V., and Coop, M. R. (2011). “The influence of particle breakage on the location of the critical state line of sands.” Soils Found., 51(4), 591–600.
Bardet, J. P. (1986). “Bounding surface plasticity model for sands.” J. Eng. Mech., 1198–1217.
Bauer, E. (1996). “Calibration of a comprehensive hypoplastic model for granular materials.” Soils Found., 36(1), 13–26.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Geotechnique, 35(2), 99–112.
Bolton, M. D. (1986). “The strength and dilatancy of sands.” Geotechnique, 36(1), 65–78.
Charles, J. A., and Watts, K. S. (1980). “The influence of confining pressure on the shear strength of compacted rockfill.” Geotechnique, 30(4), 353–367.
Chu, J., Lo, S. C. R., and Lee, I. K. (1996). “Strain softening and shear band formation of sand in multi-axial testing.” Geotechnique, 46(1), 63–82.
Coop, M. R., Sorensen, K. K., Bodas Freitas, T., and Georgoutsos, G. (2004). “Particle breakage during shearing of a carbonate sand.” Geotechnique, 54(3), 157–163.
Crouch, R. S., Wolf, J. P., and Dafalias, Y. F. (1994). “Unified critical-state bounding-surface plasticity model for soil.” J. Eng. Mech., 2251–2270.
Dafalias, Y. F. (1986). “Bounding surface plasticity. I: Mathematical foundation and hypoplasticity.” J. Eng. Mech., 966–987.
Dafalias, Y. F., and Popov, E. P. (1975). “A model of nonlinearly hardening materials for complex loading.” Acta Mech., 21(3), 173–192.
Dafalias, Y. F., and Popov, E. P. (1976). “Plastic internal variables formalism of cyclic plasticity.” J. Appl. Mech., 43(4), 645–651.
Desai, C. S. (2005). “Constitutive modeling for geologic materials: Significance and directions.” Int. J. Geomech., 81–84.
Hardin, B. O., and Richart, F. E. (1963). “Elastic wave velocities in granular soils.” J. Soil Mech. and Found. Div., 89(1), 33–66.
Indraratna, B., Wijewardena, L. S. S., and Balasubramaniam, A. S. (1993). “Large-scale triaxial testing of grey wacke rockfill.” Geotechnique, 43(1), 37–51.
Ishihara, K. (1993). “Liquefaction and flow failure during earthquakes.” Geotechnique, 43(3), 351–451.
Jiang, J. S. (2009). “Experimental research on micro-characteristics and deformation mechanism for coarse-grained soils.” Ph.D. thesis, Hohai Univ., Nanjing, China.
Krieg, R. D. (1975). “A practical two-surface plasticity theory.” J. Appl. Mech., 42(3), 641–646.
Lashkari, A. (2009). “On the modeling of the state dependency of granular soils.” Comput. Geotech., 36(7), 1237–1245.
Li, X. S., and Dafalias, Y. F. (2000). “Dilatancy for cohesionless soils.” Geotechnique, 50(4), 449–460.
Li, X. S., and Wang, Y. (1998). “Linear representation of steady-state line for sand.” J. Geotech. Geoenviron. Eng., 1215–1217.
Liang, R. Y., and Ma, F. (1992a). “A unified elasto-viscoplasticity model for clays, part I: Theory.” Comput. Geotech., 13(2), 71–87.
Liang, R. Y., and Ma, F. (1992b). “Anisotropic plasticity model for undrained cyclic behavior of clays. II: Verification.” J. Geotech. Engrg., 246–265.
Ling, H. I., and Yang, S. (2006). “Unified sand model based on the critical state and generalized plasticity.” J. Eng. Mech., 1380–1391.
Loukidis, D., and Salgado, R. (2009). “Modeling sand response using two-surface plasticity.” Comput. Geotech., 36(1–2), 166–186.
Manzari, M. T., and Dafalias, Y. F. (1997). “A critical state two-surface plasticity model for sands.” Geotechnique, 47(2), 255–272.
Muir Wood, D., Belkheir, K., and Liu, D. F. (1994). “Strain softening and state parameter for sand modelling.” Geotechnique, 44(2), 335–339.
Muir Wood, D., and Maeda, K. (2008). “Changing grading of soil: Effect on critical states.” Acta Geotech., 3(1), 3–14.
Rowe, P. W. (1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. Lond. A Math. Phys. Sci., 269(1339), 500–527.
Russell, A. R., and Khalili, N. (2004). “A bounding surface plasticity model for sands exhibiting particle crushing.” Can. Geotech. J., 41(6), 1179–1192.
Salgado, R., Bandini, P., and Karim, A. (2000). “Shear strength and stiffness of silty sand.” J. Geotech. Geoenviron. Eng., 451–462.
Salgado, R., and Prezzi, M. (2007). “Computation of cavity expansion pressure and penetration resistance in sands.” Int. J. Geomech., 251–265.
Salim, W., and Indraratna, B. (2004). “A new elastoplastic constitutive model for coarse granular aggregates incorporating particle breakage.” Can. Geotech. J., 41(4), 657–671.
Varadarajan, A., Sharma, K. G., Abbas, S. M., and Dhawan, A. K. (2006). “Constitutive model for rockfill materials and determination of material constants.” Int. J. Geomech., 226–237.
Varadarajan, A., Sharma, K. G., Venkatachalam, K., and Gupta, A. K. (2003). “Testing and modeling two rockfill materials.” J. Geotech. Geoenviron. Eng., 206–218.
Verdugo, R., and Ishihara, K. (1996). “The steady state of sandy soils.” Soils Found., 36(2), 81–91.
Wan, R. G., and Guo, P. J. (1998). “A simple constitutive model for granular soils: Modified stress-dilatancy approach.” Comput. Geotech., 22(2), 109–133.
Wang, Z.-L., Dafalias, Y. F., Li, X.-S., and Makdisi, F. I. (2002). “State pressure index for modeling sand behavior.” J. Geotech. Geoenviron. Eng., 511–519.
Wang, Z.-L., Makdisi, F. I., and Ma, F. (2012). “Effective stress soil model calibration based on in situ measured soil properties.” J. Geotech. Geoenviron. Eng., 869–875.
Won, M.-S., and Kim, Y.-S. (2008). “A case study on the post-construction deformation of concrete face rockfill dams.” Can. Geotech. J., 45(6), 845–852.
Xiao, Y., Liu, H., Chen, Y., and Jiang, J. (2014). “Bounding surface model for rockfill materials dependent on density and pressure under triaxial stress conditions.” J. Eng. Mech., 04014002.
Xiao, Y., Liu, H. L., Zhu, J. G., and Shi, W. C. (2012). “Modeling and behaviours of rockfill materials in three-dimensional stress space.” Sci. China Technol. Sci., 55(10), 2877–2892.
Xiao, Y., Liu, H. L., Zhu, J. G., Shi, W. C., and Liu, M. C. (2011). “A 3D bounding surface model for rockfill materials.” Sci. China Technol. Sci., 54(11), 2904–2915.
Yao, Y.-P., and Kong, Y.-X. (2012). “Extended UH model: Three-dimensional unified hardening model for anisotropic clays.” J. Eng. Mech., 853–866.
Yao, Y.-P., and Wang, N.-D. (2014). “Transformed stress method for generalizing soil constitutive models.” J. Eng. Mech., 614–629.
Yu, H. S., and Houlsby, G. T. (1991). “Finite cavity expansion in dilatant soils: Loading analysis.” Geotechnique, 41(2), 173–183.
Yu, H. S., Schnaid, F., and Collins, I. F. (1996). “Analysis of cone pressuremeter tests in sands.” J. Geotech. Engrg., 623–632.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 11 • November 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 25, 2013
Accepted: Apr 1, 2014
Published online: Apr 23, 2014
Discussion open until: Sep 23, 2014
Published in print: Nov 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.